diff --git "a/data/dm_maths/full_data_1/1776_11255.jsonl" "b/data/dm_maths/full_data_1/1776_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1776_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u(a) be the second derivative of a**4\/6 - 5*a**3\/6 + 5*a**2\/2 + 10*a. Let v = 566 + -538. What is the remainder when u(-6) is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - f - 4212*f**2 - 1718*f**2 + 0.\nAnswer: -5930*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1062917 divided by 72\nAnswer: 1062917\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*p - 44. Let h(m) = 12*m**3 - 2*m**2 + 21*m**3 - 5 - 6*m - 32*m**3. Let b be h(5). Calculate the highest common divisor of b and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464799473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pooooopo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 15876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 6*w + 5287191, -4*q + 1526163 + 5523437 = -5*w. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 16*o**2 - 9*o + 1. Let g(a) = 10*a**2 - 8*a + 2. Let u(w) = -2*c(w) + 3*g(w). Determine u(5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 26151940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2187\/162)\/((-6)\/(-4))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21497174.4733 + -0.5.\nAnswer: -21497174.9733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u\/(((u\/u**(-2\/3))\/u*u)\/u)*((u*u**(1\/9)*u)\/u)\/(u**2*u))\/(((u\/(u\/u**(1\/6)))\/u)\/(u**(2\/9)\/u))**(-4) assuming u is positive.\nAnswer: u**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121010 - 3?\nAnswer: -121013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 + -178. Let l = u + 48. What is the third derivative of -4*p**2 - l*p**2 - 11*p**2 + p**2 + 15*p**4 wrt p?\nAnswer: 360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e1 (base 15) to base 3.\nAnswer: -21211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68)*1 + 4*((sqrt(68)*2 - sqrt(68)) + sqrt(68)) + sqrt(68))\/(1*sqrt(324) + sqrt(324) - sqrt(324) - sqrt(324) - sqrt(16)*-3).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**4*n**3 - 67*g**2*n**3 - 3*n**3 + 80 wrt g?\nAnswer: -8*g**3*n**3 - 134*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 13. Let a(p) = -2*p - 7. Let i be a(0). List the prime factors of c(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-6))\/((-2)\/60). Suppose -5*f - 639 = 4*f. Let g = q - f. What is the remainder when 62 is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72 - -104) + -37 + 1 + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1003?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, b: 3, a: 1, j: 1, z: 5}. Give prob of picking 3 b and 1 z.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 10*a**3 - 26 - 5*a + a - 4*a.\nAnswer: 10*a**3 - 8*a - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5480 or -295.836?\nAnswer: 5480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -135, -180, -205, -204?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7, 0.4, -1, 958?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/130)\/((-60)\/(-3900))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1417 - 1710 - 4006)*(-3*i - i + 2*i)*(-9 - 8 + 2) in the form b + c*i and give c.\nAnswer: -128970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20698776 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 17*f - 70 + 38.\nAnswer: -17*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 11:11 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -18. Let q(s) = 87*s + s**p - 87*s. Let z(j) = 12*j. What is z(q(c))?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -243. Let c = -96 - q. What is the remainder when c is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11590480 and 11590479 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 12*v + 14. Let t be l(-12). Suppose 4*a - 318 - t = 0. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1961)\/296 - 6\/16. Let m = 12 + q. Solve b = 5*w + 4*b - 26, 4*b = m*w - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294335776 divided by 28.\nAnswer: -10511992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*u**2 - 21*u**2 - 37*u**2 - u - 64*u**2 to the form s + b*u + j*u**2 and give j.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2224 is divided by 2209?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.7 + 6.7. Let u = -18 - -232\/13. Let y be (1365\/90 + -15)*2. Which is the nearest to w? (a) y (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 8*w - 67. Solve -m - w = 3*f, -1 + 5 = -2*m - 3*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)*s)\/s*s**(2\/3))**13*(s\/((s\/(s**(1\/3)*s))\/s))**(1\/17)*s**(-2\/9)\/(s\/(s*(s\/s**(2\/9))\/s)*s) assuming s is positive.\nAnswer: s**(-863\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -291.58 + 293. What is the nearest to 0.2 in -1\/4, 1, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 4*t**3 + t**3)*(580 - 75*t - 580) - 2*t**4 + 4*t**4 - t**4 + (-2*t**3 - 2*t**3 + 3*t**3)*(2 + t - 2) - 4*t**4 + 4*t**4 + 2*t**4.\nAnswer: 77*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 11) to base 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(136) - (sqrt(136) + (sqrt(136) - sqrt(136)*1)) - sqrt(136)) + sqrt(136)) + 4*-2*sqrt(136))\/(-1*sqrt(72)*-6).\nAnswer: -4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -15. Let c = 0.6 + 2.4. Let o = c + -2. Put b, -3, o in decreasing order.\nAnswer: b, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -496*t**3*x + 519*t**3 wrt x?\nAnswer: -496*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -18. Let o = w - -19. What is the remainder when 36 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1225.\nAnswer: -1\/1225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30 - 3\/4*w**3 + 87\/2*w - 51\/4*w**2.\nAnswer: -3*(w - 2)*(w - 1)*(w + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - g**3 - g**3)*(1 + 1 + 1 + 5*g).\nAnswer: -10*g**4 - 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 5*y - 11. Let r be n(7). Does 33 divide r*(-8)\/(-60)*165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 144. Let z(t) = -2*t - 168. Let o(w) = 7*i(w) - 6*z(w). Let d(j) = -253*j - 1. Give d(o(c)).\nAnswer: 506*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 3*y - 4*y)*(346 - 74 + 11)*(9 - 9 - 21*y).\nAnswer: -11886*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73374147634\/70909003189 + 5993\/1644343. Let c = -5\/1487 + j. Which is bigger: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eepe when four letters picked without replacement from {p: 1, e: 7, a: 5, o: 3}.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*o + 1 + 0 + 28*o + (-1 + 1 + 2)*(3*o + o - 2*o).\nAnswer: -8*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/(110\/(-320)) - (-3 + -1). Is z*(-3 - (-33)\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 795 divide 888836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-407)\/3)\/((-9867)\/(-2691))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2390\/(-2151)*6\/70.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u - 7. Let z(i) = -i - 2. Let d(s) = -2*n(s) + 7*z(s). Let o(h) be the third derivative of 0*h**3 - 2*h**2 - 1\/12*h**4 + 0*h + 0. What is d(o(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 6*q = x - 50, 1486 - 603 = -785*q - 3*x - 507 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 1. Let m(f) = -8*f**3 - 25*f**2 + 12*f - 1. Let p(t) = -4*g(t) + 4*m(t). Factor p(j).\nAnswer: -4*j*(j + 4)*(7*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21533*p*q**4 + 23802731*p*q**2 - 4*p - 2582*q**5 - 1 wrt q.\nAnswer: -516792*p*q - 154920*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 2092. Let p(n) = 452*n. Calculate x(p(h)).\nAnswer: 1356*h - 2092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.415365ml to litres.\nAnswer: 0.001415365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -340, 1\/4, 16, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, y: 7, e: 4, i: 1, n: 3}. Give prob of picking 2 y, 1 e, and 1 n.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.4555.\nAnswer: 0.911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7204a (base 16) to base 11\nAnswer: -299972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 5*f - 48. Let j be q(5). Suppose -5*l - j*l = -2177. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - -15 - (-12 - (-9 + 2)) - -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4833338 to the nearest integer?\nAnswer: 2198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.9, 3, -38, -2, 0.05, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-129)\/(-6) + (-1)\/2. Suppose 2*l = 5*l - k. Suppose n - 1 = 0, 5*i - l = n + 7. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i - 43. Let c be x(16). Calculate the greatest common divisor of 34 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 1 - 11*s + 18 - 4. Let w = -46715 - -46725. Give a(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2122221122212 (base 3) to base 7\nAnswer: 15015602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - -0.04. Let m = -0.55 + l. Round m to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -82?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 80. Let w(r) = -2*r + 4. Let k be w(0). Suppose 0 = 7*f - k*f - 15. Solve 5*p = 2*u + f, 0 = 3*u - q + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 8. Suppose 12 = -15*o + 19*o. Let u be i(o). Suppose u*f - 2019 = -f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 102*z = -7*l - 107*z - 56, l - 2*z + 7 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - d**2 - 3*d**2)*(0*d + d + 0*d)*(-1 + 0 + 0).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*n + m + 39 = 124*n, 0 = -5*n - 2*m + 27 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 29*o - 68 = 0. Suppose 9*z - 2740 = 4*z - 5*q, 5*z - 2744 = -o*q. List the prime factors of z.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(sqrt(475) - (sqrt(475) - sqrt(475)*2))**2 + -3 + ((-4*(sqrt(475) + -2*sqrt(475)) - sqrt(475))**2 - -3*(sqrt(475) + 0)).\nAnswer: -1425 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - (525 + -511 - (3 + 2)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2793*m - 304431. Calculate k(-109).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/9, 0, 7, -1\/397, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 1, i: 1, d: 2, b: 2}. What is prob of sequence iv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**6\/180 + i**4\/12 + i**3\/6 + i**2. Let f(a) be the first derivative of k(a). What are the prime factors of f(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 217*b**2 - 288 with respect to b.\nAnswer: 434*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179242, -179349, -179456?\nAnswer: -179563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -13 + (-26 - -4) + -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(75\/6)\/25?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 84, 1, 23 in decreasing order.\nAnswer: 84, 23, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24341 is divided by 332?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 2*d - 9*d)*(119 + 243 - 198) to the form i*d + x and give i.\nAnswer: -1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 0*c + 1\/8*c**4 + 0 + 3*c**2 + 1\/3*c**3. What is w(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1122 and -143\/869124.\nAnswer: 162526188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -29. Suppose s*l - 2 = 2. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 535 and 1205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763536 is divided by 1800?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u - 7. Let w(l) = -13*l - 11. Let d(h) = h + 5. Let k(x) = -5. Let s(g) = -6*d(g) - 5*k(g). Let i(z) = 5*s(z) - 2*w(z). Give -7*i(a) + 3*m(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*n + 3*j, -2*j = 5*n + j - 16. Solve 0 = -q + 2*q + c, -n*q + 40 = -5*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39884851?\nAnswer: 1567, 25453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 18 = 12. Let s be y\/33 + 2648515\/660. Let j = -4018 + s. Calculate the common denominator of -63\/4 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-234)\/(-65))\/(-6))\/((-6)\/(2 - 62))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l. Let t be 12\/18 + 2\/(-3). Suppose -12*n + 17*n - 10 = t. Calculate x(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -37. Is f > 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.79 - 4.2. Let l = 0.11 + c. Let s(m) = 4*m - 25. Let d be s(6). What is the nearest to -1 in 4, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.324587 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 374?\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 3227 = 2*d. Let l = d + 463. Solve -l*s = 2*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896*m - 394*m - 502*m - 61*m**3.\nAnswer: -61*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/5 - 176*w**2 + 1089536*w\/5 - 193703936\/5.\nAnswer: -2*(w - 304)**2*(w + 1048)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45049, -45053, -45057?\nAnswer: -45061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 - (-170 + (-2)\/1) is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186419 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42798688027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -11824, -2, -3.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 20772350\nAnswer: -1\/4154470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2611)\/(-35) - 4\/(-10). Suppose 4*w - 5 = g. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*q - 518*q + 175*q.\nAnswer: -121*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 8. Let k(c) = -c + 5. Let y be k(4). Sort 4, y, s in decreasing order.\nAnswer: 4, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1385*z + 9694. Give s(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -305*r - 49374. Calculate k(-162).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -133 + 126 + 14 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiip when four letters picked without replacement from {z: 2, p: 4, i: 7, c: 5}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 + 38. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m**2. Let h(o) = 1083*o**2. Give h(y(c)).\nAnswer: 87723*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 66. Suppose 0 = 4*j + 8, m = k - 4*j - 7. Suppose k*v + 40 = 7*v. Solve 0 = 4*l - v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + -0.3. Suppose 41 = 24*v - 55. What is the third biggest value in m, v, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274904293?\nAnswer: 19, 107, 135221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, z: 3}. What is prob of sequence zzzr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -132*b**2 - 5*b + 5. Let x(n) = 2114*n**2 + 80*n - 84. Let d(c) = -33*k(c) - 2*x(c). Let r(w) = w. Calculate d(r(f)).\nAnswer: 128*f**2 + 5*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + (-76)\/(-12))*(-3)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 952?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.0514.\nAnswer: 0.1028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -740*v**2 + 25897*v - 34. Give r(35).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**7\/14 + 31*j**4\/12 + 9*j. What is the third derivative of u(q) wrt q?\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*v = 34 - 5, v = 2*u - 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**3 - 5*r**2 + 3817*r - 10. Let c(b) = -b**3 + b**2 - 6*b + 2. Give -5*c(t) - w(t).\nAnswer: -2*t**3 - 3787*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 3. Differentiate j*f - 3*f + 2 - 2*f + 0*f wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -443, 1, 3, -3\/4 in decreasing order.\nAnswer: 3, 2, 1, -3\/4, -443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/(-45)*(-2)\/33*(-11 + 396\/54)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*o - 108, -2*v - 5*o - 20 = -101. Suppose v*a - 25*a = 240. Suppose a*p + 40 = 35*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 2*f - f - 3*f + 1 + 5*f - 4*f + (-f + 5*f - 2*f)*(1 - 1 - 1) - 4*f - 2*f + 4*f.\nAnswer: -7*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (8\/4)\/(4\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204482522 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9\/4)\/(i*i\/i**(-3\/22)) assuming i is positive.\nAnswer: i**(-193\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 205*k - 210.\nAnswer: 5*(k - 42)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 931*m - 961*m)*(m**4 + m - m) - 3*m**5 + 4*m**5 - 3*m**5.\nAnswer: -32*m**5 - 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-225)*-3*-27)\/(2\/10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 906, -5, 8, -7, -10, 2\/3, 3 in ascending order.\nAnswer: -10, -7, -5, 2\/3, 3, 8, 906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3692.\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3618798988.\nAnswer: 2, 7, 29, 43, 103643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154133089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 + 81. Let d(l) = l**3 - 9*l**2 - 19*l - 7. Let n be d(y). Let h = n + 297. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 - q**3 + q**3 + (-22 - q + 13 - 14)*(2*q + 45*q**2 + 3*q**2 + 77 - 46*q**2) as i*q**3 + r*q**2 + j*q + t and give j.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12969286 + -2564286. Round y to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 765, 1531, 2299, 3069, 3841, 4615?\nAnswer: 5391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f - 120 = 0. Let x be (-3)\/12 - (-9)\/f. Which is the closest to 0.1? (a) 2 (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 10. Suppose -1032 = -86*g - 0*g. Is 2\/g*t*-508 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -82. Let f be (-45)\/((-13)\/(-4) + 2 + y). What is the highest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 14. Let s(l) be the first derivative of -15*l**2\/2 + 507. Calculate s(d(v)).\nAnswer: -30*v**2 + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3685.\nAnswer: 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22500986477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 16. Let t be v(-13). Find the second derivative of 3*z**2 - t*z + z**2 - 14*z**2 + 8*z**2 wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 436\/(-6)*(-15)\/10. What is the third derivative of -r*i**2 + 5*i**5 + i**5 + 114*i**2 wrt i?\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*v + 660 = 0, -2*p = -4*v + 2*v - 330. List the prime factors of p.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48248\/3 + 16082. Let u = 2 + -3. What is the smallest value in 53, p, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-5)*x)\/(x*(x*x*((x*x\/(x\/x**(-28)))\/x)\/x)\/x) assuming x is positive.\nAnswer: x**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 30 - 7 - 2)*(-149*f**4 + 33*f**4 - 131*f**4).\nAnswer: 10868*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -267.\nAnswer: -133.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -71773 - 1?\nAnswer: -71774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06 and -60.621?\nAnswer: 60.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-244)\/378 - ((-2)\/(-6) + 285\/(-315)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**2 - 28*p - 19. Let k(r) = 11*r**2 + 58*r + 37. Let j(i) = -6*k(i) - 13*q(i). What is the remainder when 497 is divided by j(16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2 + 1996*i + 310990 = 0. Calculate i.\nAnswer: -137, 1135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 3, -3*g + j - 5*j = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 134889546 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1488.7067 to the nearest integer.\nAnswer: -1489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10208189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omi when three letters picked without replacement from isiom?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5 = -31. Suppose 0*p - 4*p = -f. Solve 2*x + 4 = -3*v + p, x - 3 = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 21 = -4*x, -13 = -3*r + 2. Let s(v) = v**2 + v. Let c(n) = -13*n - 2. Calculate x*s(u) - c(u).\nAnswer: -u**2 + 12*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 - -0.21. Let a = -753 - -757. What is the second smallest value in -4, s, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -53. Calculate the remainder when 17 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 3*m**2 - m. Calculate the remainder when 12\/(-20) + ((-66)\/(-10) - 1) is divided by i(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) 2\/11 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 531\/(-527) + 1. Let y = 45857\/1054 + x. Let p = 55\/42 + -991\/420. What is the common denominator of p and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*r - 5*a = 63*r - 2438, 0 = -2*r - 2*a + 1220. Which is greater: 611 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-4)*l)\/l**(-3))\/((l*l**1)\/(l**4\/l*l*l)) assuming l is positive.\nAnswer: l**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 376.95 - 222.3. Let x = 165.931 - z. Let s = x + -0.181. Round s to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*v = 1953*v - 104050 for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39.788 - 0.312. Let v = u + 38. Let m = v + 2.09878. Round m to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 9:35 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.189022 tonnes to micrograms.\nAnswer: 5189022000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -7*x - 200. Suppose -5*a + x = 5*y, -7*y = 5*a - 4*y - 44. Calculate the remainder when a is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2889335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 24*f**2 + 1 - 15*f**2 - 6*f**3 - 12*f**2 - 3. Let a(s) = 7*s**3 + 3*s**2 + 3. Let d(n) = 3*a(n) + 4*j(n). What is d(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 83, 298, 657, 1160, 1807?\n\"Answer: 72*g**2 - g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*t - 20 = 0, -t + 0*t = -4*s + 4. Let j be 2 + (-2)\/(-4)*s. What is the second derivative of 0*l - l + 5*l + l**j - l wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123709483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-two fifths of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74728*11.8.\nAnswer: 881790.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6 and -77\/1464.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12.9199482us?\nAnswer: 0.0000000001495364375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 1319, 2.\nAnswer: -0.04, 2, 1319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y = -6*y + 1145 - 419 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7933 - 0.6633. Which is the nearest to 1? (a) -3 (b) n (c) -0.3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.9, 1, -6374 in ascending order.\nAnswer: -6374, -5.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*i = 153, 470 = 9*h - 5*i + 985 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - 3\/(6\/(-14)). Solve 2*z - 4 = -l - l, -5*z - o*l = -16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55659 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/6 + 1057*z**2\/6 - 43423*z\/3 - 88964\/3.\nAnswer: -(z - 967)*(z - 92)*(z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*x**4 + (0*x - 379 + 292 + 7*x)*(5*x**3 - 2*x**3 + 3*x**3).\nAnswer: 44*x**4 - 522*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 + 4 = 0. Let a = 54 - 59. What is the second smallest value in 5, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 19*v**2 - 17*v - 4. Calculate s(-18).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -87a2c0b6 + 3?\nAnswer: -87a2c0b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p. Let i(u) = -16726059*u**2. Give b(i(s)).\nAnswer: 33452118*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 5*b**3\/3 + 7*b. Let m(r) = -2*r. Calculate h(m(d)).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f. Let g be p(-6). Suppose 17 = g*s - 7*s. Let a = 25 + s. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*q - 47, 3 = -4*q + 15. Differentiate 109*u**4 + 124*u**4 - h - 244*u**4 + u**3 wrt u.\nAnswer: -44*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -439475.78 to the nearest 10000.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*150\/45.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 12) to base 13\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 22*c + 18*c)*(0*c - c + 2*c) - 6 - 2*c**2 + 6.\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2020 is divided by 673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 7273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1)\/(120\/32 - 3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*b - 22 = -b, 4*f - 4*b = -28. Find the common denominator of 82\/33 and -3*(-362)\/72 + f\/8.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 10:34 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnignniiniigniign. Give prob of sequence ggi.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 2*t**2 - t - 21. What is s(0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -136113*b. Let i(v) = 17*v. Determine i(k(o)).\nAnswer: -2313921*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(153) + 1 + sqrt(153)) + -5 + 1)**2 + (sqrt(153)*2*4)\/(-4*2*sqrt(9)).\nAnswer: 143*sqrt(17) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-266) + (0 - -1). Let w = 18141\/19 - 954. Let o = z - w. Is -1 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 r**2*x - 4169*r**2 + 72*r*x + r + 89*x wrt r?\nAnswer: 2*x - 8338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33056 and 50752.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 54?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*m + 108 = -0*m, 0 = j - 2*m + 42. Let f be (j\/(-120))\/(2\/10). Solve -3*d - f*d - 2*k = 10, -d + 4*k = 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -566, 7940, 34592, 88462, 178622, 314144?\nAnswer: 504100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*r = 0, 5*t - 5*r = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-8))\/((-3)\/12). Let p(b) = -10*b**2 - 1. Give p(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 + 209. Suppose -3*y = 2*y + z. Calculate the common denominator of y\/40*(-120)\/16 and -59\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 divided by 142640.\nAnswer: 81\/142640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*n**4 - 76*n**3 + 63*n**2 - 2*n - 12760237?\nAnswer: 64*n**3 - 228*n**2 + 126*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-33)\/6)*13212\/27. Suppose 5*i - 20 - 18 = -4*w, 2*w - 4*i - 32 = 0. Is w\/(-42) - g\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/4*2\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00924 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 2*b**6\/5 + 16*b**5\/25 - 8*b**4\/5 - 8*b**3\/5 + 2*b**2 + 8*b\/5 - 15. Solve q(m) = 0 for m.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 29*p**3 + 13*p**2 - 55*p + 10. Let z be o(4). Is z at most 1854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -0.2, 1\/7, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkzwoowjgzwkww. Give prob of picking 2 k.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - 90*a + 2*a**2 + 90*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 5*t**2 - 7*t + 8. Suppose -l + 3 = 0, -3*r + 4*l - l - 60 = 0. Let s = r - -11. What is the units digit of y(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 3:00 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -6 + 18, -4*i + 24 = 4*y. Suppose y*g = -4*g + 60. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24445 + -31265161\/1279. Let x = 1487459\/3837 - q. Let r = -397 + x. Which is smaller: -8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85\/132 + -1\/44. What is the third smallest value in 2, -2\/9, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**3\/6 + 173*i**2\/6 + 586*i\/3 + 830\/3 = 0.\nAnswer: -166, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 20*h**2 + 35*h - 349. Determine v(4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 14 = 5*l, -4*l + 2*i - 31842 + 31848 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 + 1022*n. Let j(u) = 335*u**2. Give r(j(f)).\nAnswer: -336675*f**4 + 342370*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 8*h**2 - 16*h + 13. Let j(u) = 3*u**2 - 2*u. Let l be j(2). Let m be (-4)\/l*20\/(-1). Is q(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/22996 and -7\/2652.\nAnswer: 15246348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 324 = 2*s. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22001111002120 - 11?\nAnswer: -22001111002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/24 and -7\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:11 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4783 (base 9) to base 7\nAnswer: 13242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10922 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(96\/(315456\/106))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-40)*(512\/24)\/16.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 73.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.35 + -18.25. Let u = -17 - r. Let a = 2.9 - u. Which is smaller: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 637141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1542\/7? (a) 8 (b) -334.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22 - 33*c**4 + 36*c**4 - 12 wrt c?\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254329 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5328 + -695. Let r = 10233 - o. What is r rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 277, 1\/2, 4\/11, 1\/6, -6 in descending order.\nAnswer: 277, 1\/2, 4\/11, 1\/6, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 195 - (31\/(-62) + (-22)\/(-4)). Calculate the highest common divisor of 38 and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 7 - 2*m - 5)*(837 + 11672*m - 11672*m + m**2) in the form d*m**3 + s*m**2 + x + c*m and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(242) + sqrt(242)*1 - sqrt(242)) + 5 + 1*sqrt(242))**2.\nAnswer: -330*sqrt(2) + 2203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from {f: 4, h: 1, e: 3, u: 1, i: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6248 - 23156?\nAnswer: -30415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 138 = 16*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -28 + (95 - 96 - -3).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -16*l + 26*w - 24*w, 0 = -2*w + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 3:25 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2689200225?\nAnswer: 3, 5, 11952001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -134. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16418, -32836, -49254, -65672?\nAnswer: -82090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 313?\nAnswer: 2504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2160))\/(sqrt(9)\/sqrt(3)*3) - (-3 + -2*5*-4*(sqrt(5)*2 - sqrt(5))**2).\nAnswer: -197 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -317*o**3 + 828*o**2 - 23518692*o?\nAnswer: -1902*o + 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 3 (c) -0.79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -514 - -532. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -34 - 30 + 4*l - 19 + 10*l - 12*l. Let w(p) = 14*p. Give z(w(a)).\nAnswer: 28*a - 83","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 28 = v, 3*v + 2*r - 18 = 14. Let h(z) = 9*z - z**2 - z + 7*z - 9. Is h(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -6, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(720) + 1)*-5 - ((sqrt(720) + 1)*-5)**2 - -6*(-4*sqrt(720) + 2)).\nAnswer: -18016 - 948*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**8\/84 + g**7 - 5*g**6\/2 - 31*g**5\/6 + 17*g**4\/2 - 4*g**2 + 8*g - 33. Determine p, given that z(p) = 0.\nAnswer: -1, 0, 1\/2, 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 1. Find the common denominator of 0 - o - (-17)\/(-6) and 7\/(-5)*(-6 + (-24)\/28).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, f: 10}. Give prob of picking 2 f and 2 s.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -0.2 (b) -38.85 (c) -346\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 5\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -202718.\nAnswer: -1\/101359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m\/(m*m**(-1\/7)))\/(m\/(m**(1\/17)*m)*m*m*m**(1\/2)*m) assuming m is positive.\nAnswer: m**(-71\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6016 (base 14) to base 13.\nAnswer: -7670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -0.9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-3)\/(-38)*(-16)\/48). Which is smaller: -36 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1552798*n + 17080784. Calculate o(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164098242?\nAnswer: 2, 3, 7, 11, 197, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 401*f**4\/2 + 243*f**3 + 718. Find the third derivative of o(x) wrt x.\nAnswer: 4812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 25*l - 21. Let r be 154*(1\/2)\/1. Let a = 54 - r. Let g be o(a). Solve k + g = 6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -563 - -569. Suppose 196 = -p*v + 34*v. Solve 3*g - 12 = v*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3577.07995 and 0.1.\nAnswer: 3577.17995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -7, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 = 1. Let i = 28 + -18. Calculate the smallest common multiple of i and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*r - 23 = 0, 0 = -5*n + 3*r - 8*r + 35. Let q(f) = 4 - n - 6 + f. Give q(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11010 is divided by 917.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4179 = g, 2*v + 3*g + 625 = -1050. Let o be v\/(-12) - 6\/9. What is o rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40 + 52b8110?\nAnswer: 52b8150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/5)\/(-4))\/((-1)\/(-5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -0.76?\nAnswer: -2.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1988.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**3 - 18050*a**2 - 16362085*a - 129744040 = 0. Calculate a.\nAnswer: -1801, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 12:37 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -46, -68, -92, -118, -146, -176?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1789448 or 1789451?\nAnswer: 1789448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2237756017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((1 + sqrt(192) + (6*(1 + sqrt(192)) - sqrt(192)))*-4)**2 + -3).\nAnswer: 21504*sqrt(3) + 222746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(6*-3*sqrt(187) + (sqrt(187) + 3*sqrt(187)*1 - sqrt(187))))\/(6*sqrt(1331)*-1 + sqrt(1584) + (sqrt(1584) - -2*sqrt(1584))*5).\nAnswer: 25*sqrt(17)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 922266490 to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 838.63 (b) -2 (c) 2 (d) -1\/2 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 27 = -12. Suppose 2*j - 3 = s. Let l be (-1)\/(-1*(-1)\/(-5)). Solve 5*w = -z + 15, -l*w = -j*w - z - 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 - 330*b**2 + 132*b**2 + 198*b**2.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -11 - (1*-8)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11231233 - 302?\nAnswer: 11230331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 13. Let q be (-305)\/g + (-2)\/4. Let u = 2606 + -2576. What is the greatest common factor of q and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 + -44. Let j be 0 - (y - -4)\/(9\/6). Let t = -41 - j. Solve -4 = f + 3*a, -t*a = -5*f - 2*a + 34 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5020366 divided by -7.\nAnswer: 5020366\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuwuzuwwqtwtut. Give prob of picking 1 q and 2 t.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*m + 220, 110 = 112*m - 110*m + 2*w. Calculate the greatest common factor of 20 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.13 * 53.\nAnswer: -112.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*x - x - 4*v, 0 = -5*x + 2*v - 5. Let l be 2 + (5\/(-15))\/(1\/x). Is 26\/9 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-2))\/(3\/(-36)). Let v be 153\/l - 3\/(-18). Suppose -y = -5*b - 98, -v*b + 2*b = -2*y + 160. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/3696 and -107\/2640.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c**2 - 2 + 2)*(0 + 2 + 0).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -10)*(12\/4 - 2). Suppose -z = -9*q - 5. Solve q = 4*f + 3*y + 13, -f - 3*y + 1 - 2 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -5 + 4, 3*j - 11 = -5*h + 9*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 8. Let b be (-14)\/f - ((-3)\/(-3) - -1). What is the biggest value in 10, b, -0.2, 1\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.09, -2\/13, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**5\/60 - 7*v**2. Let x(d) = -19*d. Give x(h(s)).\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -36*v**2 + 31*v. Let i(j) = -18*j**2 + 15*j. Calculate -5*i(s) + 2*x(s).\nAnswer: 18*s**2 - 13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 287 and 75481?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1000 divided by 125.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((208\/91)\/(11\/((-66)\/(-12))))\/2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (6*(sqrt(1377) + 3))**2 + sqrt(1377)*2 + -5).\nAnswer: -299340 - 11772*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 - 86*m - 20. Is p(22) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, m: 4}. What is prob of picking 2 m and 1 n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -8 - -15) + (-6 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u + 0*u - 4*u)*(-u + 2*u - 2*u) + 6278*u + 130*u**2 - 6278*u in the form o*u**2 + i + s*u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -269.93 - -270.03. What is the third smallest value in -3, y, 1, 2, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9013*y**2 + 27*y + 463003 wrt y?\nAnswer: 18026*y + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 2:18 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -1\/4, 500, 0.9, 5, 4\/5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s + 38. Let p be m(12). Let k(l) = 41*l + 1. Let r be k(1). Calculate the greatest common divisor of r and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 4:43 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -1\/2, 4, 0.209, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -31266?\nAnswer: -31302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3529 + 5821 = 34*n. Calculate the remainder when 20074 is divided by n.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyyycyycy?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*sqrt(8) + -1) - (0 + sqrt(2) + (sqrt(36)\/sqrt(3))\/sqrt(6) + -3)**2)*-1 + 2.\nAnswer: -44*sqrt(2) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iigiigigiiiigiigggg. Give prob of picking 3 i.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 2368 + -2356. Let c(w) = 2*w**2 - 7. What is the remainder when c(-5) is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*z + z. Sort z, 3, 0.3 in descending order.\nAnswer: 3, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121 + -119. Suppose 19 = 3*y + 3*l - 23, y - 23 = t*l. Let q(i) = 15*i - 9. Let z be q(4). What is the highest common factor of z and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187012 and 938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 = 5*i. Suppose 0 = 2*w - i*a - 32, 20 = -3*w + 8*w + 5*a. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (13 - 16) - (-8 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -129950, -129861, -129748, -129599, -129402?\n\"Answer: 2*n**3 + 75*n - 130027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16094914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4. What is the nearest to 3 in v, 1, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + (-8691)\/(-126) + -3. Let b = -512\/7 + g. What is the common denominator of 43\/24 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77 - 37 - 36 - 29*o to the form d*o + s and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.00241 - -118.00241. Which is the second smallest value? (a) l (b) 0.1 (c) -2 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(((-80)\/24 - 400\/(-75))*(-3)\/(-6))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 938973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*g - 19. Let m(c) = -c - 2 - g*c + 0*c + 1. Let z(i) = 5*i + 1. Calculate 7*m(d) + 6*z(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/2)\/(z\/z**20))\/((z*z*z\/((z*z*z**(-1\/31))\/z))\/z)**2 assuming z is positive.\nAnswer: z**(1143\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*n = 5, -75*w + 200 = 28*w - 61*w - 2*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -202012121 (base 3) to base 11\nAnswer: -10082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 232 - 231.4. Let g(n) = -2*n. Let h be g(-2). What is the second biggest value in -0.2, h, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -15*f. Let r(d) = 8*d**2. Give z(r(q)).\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2897756 divided by -724439.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/4 - ((-15)\/(-21) - 3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 5, -133.\nAnswer: -133, -49, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 3956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41381204.\nAnswer: 2, 461, 22441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66120 divided by 580.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**5\/2 - 1305*k**4\/8 + 29025*k**3\/2 - 249615*k**2\/4 - 3994. Find m such that s(m) = 0.\nAnswer: 0, 3, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 5*v - v - v. Let h(m) = 8334000*m. Let l(t) = -926000*f(t) - h(t). Let d be l(5). What is d rounded to the nearest one million?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-5))\/(32\/(-800)). Suppose 0 = -3*z - 2*v + 11930 - 1471, z + w*v = 3469. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 23*j - 1. Suppose 4*q + 4*m = 24, -26*m + 29*m - 12 = 3*q. Calculate l(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyryyyrlyrkyylyylyl. What is prob of picking 2 k and 1 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006812 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -289 - -6071\/21. Let x = 3 - 3.2. Let a(j) = -j + 9. Let l be a(6). Put x, l, u in decreasing order.\nAnswer: l, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114646.42 minus -1.6?\nAnswer: -114644.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 14.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215 (base 6) in base 7?\nAnswer: -605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 53\/216 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2357000 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-1 + 1 + 4)*(-4 + 0 + 3)*(-3*w - w + 5*w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/49)\/a)\/a*a*a**19)\/((a*a**(-6))\/a)**(2\/19))**3 assuming a is positive.\nAnswer: a**(52152\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123)\/(-13) - 396\/858?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a3 (base 13) in base 6?\nAnswer: -14442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467*p - 148*p + 577*p + 73*p.\nAnswer: 969*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/((-4116)\/63)*336\/(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) -12 (c) -227 (d) 0.127 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 8*f + 324 - 359 = 0, -1 = -w - 4*f for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -1, 1 in descending order.\nAnswer: 7, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5265 is divided by 585.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/(2294\/(-248))*2\/(-8)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244, -243, -242, -241, -240?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/19 (b) 1 (c) -2.484 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and -12 + 12 - (0 - -2)*-8?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7a884 (base 15) to base 10\nAnswer: 390049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 6901*u + 1584786.\nAnswer: (u + 291)*(5*u + 5446)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 (base 11) in base 9?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 20*l**2 + 2 - 4 + 74*l**2.\nAnswer: 54*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -313485.99983875 and 5.\nAnswer: -313480.99983875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1487 = -2*h - 3*d, 5*h + 342*d - 344*d - 3746 = 0. What is the remainder when h is divided by 82?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 77*v - 74*v. Suppose -v*x + 257 = 1907. Let u = -120 - x. List the prime factors of u.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -248*h**2*s**2 + 6869*h**2 + h*s**2 + 2*h - 9*s**2 - s + 4 wrt s?\nAnswer: -496*h**2*s + 2*h*s - 18*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25105 or -25101?\nAnswer: -25101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 183386 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448025.\nAnswer: 5, 17921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 7*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*p - l - 4, 0 = -p - 2*l + 7. Suppose -p*k - 7 = -w, -5*k = -w - 1 - 2. Is w not equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022943 to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 11) to base 9\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/308)\/(14430\/(-33670)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27938339 is divided by 305?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -594, -4909, -12104, -22179, -35134, -50969, -69684?\nAnswer: -91279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2367 + 2367. Sort 2, 1, f, 3, -11 in descending order.\nAnswer: 3, 2, 1, f, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34042 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 l(x) = x - 7. Let d be l(9). Let k(w) = -w**3 + 4*w**2 - 4*w + 5. Is k(d) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(1700) + sqrt(1700))**2 + sqrt(1700)).\nAnswer: -40806 - 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -16 + 3 + 29 + 30.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 3*w + 11, -p = -2*p + w + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6 and -152362.7?\nAnswer: 152362.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**6\/195 + r**4\/78 - 21*r. Factor j(d).\nAnswer: -2*d**2*(d - 1)*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b - 10*b - 7*b**2 - 5*b**2.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**36)**12*k*k\/k**11*((k*k\/(k*k**(-39\/5)*k*k))\/k)\/k assuming k is positive.\nAnswer: k**(2139\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49172, -49218, -49264, -49310, -49356, -49402?\n\"Answer: -46*o - 49126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 982147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -24. Let t = -21 + v. Solve 0 = t*k + 1 - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - -14. Let q = 43 - z. Is q > -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 33.951. Let t = -0.051 + p. What is the closest to t in -2\/25, -2, 1\/7?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -1014 - -3) + 5 + -5 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**7\/735 + 31*b**5\/210 + b**4\/2 - 24*b**3\/7 + 725*b**2 + 2*b. What is r in i(r) = 0?\nAnswer: -4, -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*j - 4 = 6, 17 = 5*o - 4*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300782 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 3, -17, 691, -1 in ascending order.\nAnswer: -17, -3, -1, 3, 10, 691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 6. Suppose 5*a = 2*a - 5*h - 61, -3*a + 2*h = 26. Let r be b(a). Solve 2*i = r*i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c + 2*c)*(0 + 2 + 1) + 0 + 2*c + 0 - 2 + 2*c - 2 + 5.\nAnswer: 7*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 732*i + 990*i + 191*i - 1 - i**2.\nAnswer: -i**2 + 1913*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 2, u: 5, j: 1, k: 1}. What is prob of picking 2 o and 1 u?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 - -0.2. Let c = i - -2. Suppose -4*g + 6*g - 7 = -3*j, 23 = -3*j + 4*g. What is the second smallest value in -2\/7, c, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18560 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, p: 1, c: 9, k: 1}. Give prob of sequence ck.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 - 151 - (15 + -2) - (3 - 17) - 77.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(0*o + o + 0*o)*(2*o**3 - 2*o**3 + o**4).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1144 - 389 = 73*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -93\nAnswer: 28\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4 + 22 = 0. What is the closest to s in -4, 0, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67 + 23375?\nAnswer: 23420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**3 - l**2 - 3*l - 15. Let z be s(-3). List the prime factors of (5\/15)\/(1\/z).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115045 (base 6) to base 4\nAnswer: -2133011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -19. Suppose 9*u = w*u - 17815. List the prime factors of u.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 4. Let o be t(8). Let r be (45\/(-6))\/((-2)\/o). Let z = -9 - r. What is the highest common divisor of z and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 = 5, 0 = -3*b - 4*s + 38. Suppose 3*v = 4*p - 163, -v + 6*v = 5*p - 210. Calculate the remainder when p is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66985 - 47743. What are the prime factors of o?\nAnswer: 2, 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ussuuussssuu. What is prob of sequence su?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -13*a. Let w(u) = -43421*u + 43421*u + 5 - 5 + 40*u**2. Determine h(w(j)).\nAnswer: -520*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6196284 and -2906.615.\nAnswer: -2905.9953716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -12. Suppose 5*a - 4 - l = 2*m, -5*a - m = -11. Let g = 21 - a. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 427072.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -212, -634, -1056?\n\"Answer: -422*g + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 13. Put z, -5, -3 in ascending order.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + 3305414?\nAnswer: 3305432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 87667188?\nAnswer: 87667193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-3\/23)*k\/k**8 assuming k is positive.\nAnswer: k**(-141\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 5, k: 2, e: 1, q: 4, m: 2}. What is prob of sequence kep?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2701921 and 461?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2866*r - 50364 = 24152 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -142 + -1657542?\nAnswer: -1657684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -11\/7111?\nAnswer: -11\/7111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 - -19)*(-295190)\/(-616) - 1\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2095 < -1942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (3 + -9 + 13)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001001 + 10001111100?\nAnswer: 10100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -135575 to the nearest 1000.\nAnswer: -136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.057 + -0.057. Let f = 3.9 + -0.3. Let h = f - 0.6. Which is the closest to 1? (a) m (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 0 - (0\/2 + -23)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 29, -395, -0.2, -2\/21 in descending order.\nAnswer: 29, 0.3, -2\/21, -0.2, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(77)\/sqrt(7) + -2 + sqrt(11)*-4 + sqrt(11) + (sqrt(176) - -1*sqrt(176)*-2) + (sqrt(176) + 1*sqrt(176)*3)**2.\nAnswer: -6*sqrt(11) + 2811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4055454 (base 10) in base 3?\nAnswer: -21122001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0579 at most -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/((-2)\/6*5*9\/10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 8033.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4806024080 and 9230?\nAnswer: 9230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10178 + -0.034892?\nAnswer: 10177.965108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 2, x: 2, l: 8, g: 1}. What is prob of picking 1 x and 1 l?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/5)\/(2\/(-525)). Suppose 3*d - 9*d + s = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*c**2*z**4 + 7*c**2*z**3 + c**2*z**2 + c**2*z + 2*c*z**2 wrt z.\nAnswer: 1128*c**2*z + 42*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13993 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-12))\/d**(-12))**(-1\/23) assuming d is positive.\nAnswer: d**(-2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -3*y - 5*j, -5*y + 3*j + 465 = -2*j. Suppose -y + 9 = 3*d. Is 2\/3 - 33705\/d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n**2 - 5*n**2 + 2 + 0)*(19369 - 5*n - 19358 + n**2 + 7*n**2) to the form a*n**4 + m*n + u*n**3 + w*n**2 + t and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q**3 - 10*q**2 + 2*q + 3. Let j(x) = -4*x**3 - 6*x**2 + x + 2. Let s(m) = -3*f(m) + 5*j(m). What is s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0295253608 to 5 decimal places.\nAnswer: 0.02953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 21475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33300220 (base 5) in base 11?\nAnswer: -18943a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4283 + 4283.4. Suppose -5*j + 4 = -3*j. Which is the closest to 0.1? (a) j (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 + 64.6. Let y = 95.6 - j. Let q = y - 99.202. What is q rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2*(-16)\/244. Let n = x - -65\/122. Is n >= -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5 + -3. Let d = -1\/5707 - 22821\/39949. What is the nearest to -1\/3 in 2\/9, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 10*g**2 - 13*g + 11. Let a be f(8). Suppose 4*k - a = 21. What is the smallest common multiple of k and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, m: 3, u: 1}. Give prob of picking 1 u and 2 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t - 12. Let d(p) = -2*p - 2. Let g(q) = 6*d(q) - o(q). Let f(h) be the third derivative of h**5\/60 + h**2. Determine f(g(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-16)\/(-22) + 10098\/1089 and 955.\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252312 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.19849461 to 2 dps.\nAnswer: -82.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*t + 63*t + 6 = 0, -5*q + 3*t = -19 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**3 - 10*m**2 + 19*m - 33. What is the hundreds digit of o(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*w + 8 = 0, 2*d - 5*w = -2*w + 14. Sort d, 1, 2.\nAnswer: 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 5, 666?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 526 and 162797.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.01091 (b) 1\/6 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14 + 18 + 40 - 47 + v. Let s be d(0). Factor s*h + 31*h + 63 + 146 + 4*h**2 - 13.\nAnswer: 4*(h + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 1)*(-4)\/6. Suppose 2*v + 43 = a, v - 53 = -a - 2*v. Suppose -4*b + 158 = -b + q*f, 0 = b - 5*f - a. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 6*s - 4. Let z be t(-2). What is the second derivative of -2*o**4 - 7*o - z*o + 13*o**4 wrt o?\nAnswer: 132*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*r + 2*k, 3 = -4*r - k + 14. Suppose -r*d + 101 = -5*l, -d - 5*l - 48 = -2*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -16. Let p(u) = -u**2 + 3*u - 1. Give p(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 2*d + 0*d)*(0 + 1 + 0)*(-d**2 - 2*d**2 + d**2).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -231210330?\nAnswer: 231211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 25. Let h(d) = 4*d + 0*d**c - d**2 - d**2 - 3*d**2. Let o(i) = -4*i**2 + 3*i. Let m(a) = -3*h(a) + 4*o(a). Let j(u) = 20*u**2. Give m(j(w)).\nAnswer: -400*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1415676448 rounded to four decimal places?\nAnswer: 0.1416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 1, t: 1, z: 1, f: 3, g: 8}. Give prob of sequence it.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-15 - -13) - (38 - 4) - 8.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x. Let f(w) = -8*w + 1 - 3*w - w. Let y(s) = f(s) - 3*z(s). Is y(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:09 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772*d + 6573*d + 676 - 684.\nAnswer: 5801*d - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/766772 and -1\/8.\nAnswer: 1533544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*k**2 - 19 - 2*k**2 - 437 wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127*i**4 - i**3 - 393*i**2 - 682073*i?\nAnswer: -1524*i**2 - 6*i - 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b**2 - 25*b**3 + 137*b**2 - 164*b**2.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111276944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -3)\/(-1) - (-42984)\/136. Let w = 315 - b. Which is bigger: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 12, -5*t = -u - 4*u. Let q(f) = 3*f - 2. Let k be q(3). Let b(y) = 5*y**2 - 7*y + 5. Let o(r) = -3*r**2 + 4*r - 3. Give k*o(v) + t*b(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -533 divided by 243595?\nAnswer: -533\/243595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -407973816 divided by -276.\nAnswer: 1478166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enennnnvennetnnnnvn. What is prob of sequence tnt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 37*a**2 - 15582*a + 547828. What is v(35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 21 - 5\/12*z**3 + 0*z**2 + 5\/4*z. Find u such that p(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*f - 1050 = -90. Solve 11 = -3*q - m, -5*m - 10 = f*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-39)\/(50700\/(-104)))\/(1\/5))\/(9\/10).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - f = 276, -3*m + 18 - 179 = -4*f. Let h = m - -67. Let n be ((-6)\/h)\/((-1)\/6). Solve -a - 2 = -n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6*z - 40. What are the prime factors of 14\/z*(-36 - 0)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, f: 3, y: 1, t: 6}. Give prob of sequence itf.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t**(-12)\/t)\/t))\/((t*t**(1\/2))\/t)*(t**(-1\/3)*t)**42)**(-1\/7))**(-49) assuming t is positive.\nAnswer: t**(595\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-2 - -7) + -2. Let r(v) = 2 - v - o. Let h(d) = 4*d**2 + 4*d - d - 3*d. What is h(r(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5404602 - 4191*p**3 - 5404602 + (p**2 - 3 + 3)*(-p + 3*p - p).\nAnswer: -4190*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.025 - -0.375. Let a = 6 - 3. Let t = -5 + a. What is the nearest to t in -0.1, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0\/2 - (5 + 0 - 55) is divided by (-1)\/((2\/13)\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16146 rounded to the nearest one hundred?\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 14 = -5*y, 38 - 44 = 3*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 5*m = -z + 28, -118 = -10*z - 3*m. Solve 14*v = 16*v - 5*h - z, -v - 13 = 2*h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/13)\/c**(-2\/3))\/((c\/((c\/c**(2\/7)*c)\/c)*c)\/(c*c*c\/c**(2\/3)*c)) assuming c is positive.\nAnswer: c**(226\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213410151.\nAnswer: 3, 2089, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 14 = -2*d, -m + 8 = -d + 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1383, 3537, 6549, 10419?\n\"Answer: 429*g**2 + 867*g + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*k = -18*k + 15*k + 4620. Calculate the remainder when 225 is divided by k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 7*j - 2*j)*(40*j**2 - 20*j**2 - 21*j**2 + 270).\nAnswer: -3*j**3 + 810*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 2*m**2 + 2*m. Let p be o(2). Suppose 4*x + 2 = -n, n + 3*x = -p*n + 7. Solve 4*s - 28 = 4*l, s = -n*l - l - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224098273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let n be z(4). Let a = -1 - 0. Let p = a + 1. Sort p, 1, n.\nAnswer: n, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*m = -0*o - 2, 3*o - 3*m = 0. Suppose -13 = -5*v + 4*w, -2*v = 3*w + 6 - 2. Suppose r - o = v. Solve n - r*n + 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**5)\/o*o**(-6)\/o*o)\/((o\/(o*o**(-4\/15)*o*o))\/o**(2\/7)) assuming o is positive.\nAnswer: o**(107\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 0 - -16 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:50 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1445 - -1447. Solve -8 = 2*p - v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -26. Let q = 23 - j. Let h be (0 + -2)\/((-7)\/q). Solve -h*u + 20 = -2*r, -r - 2*u = 2*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 88 = -4*f, -37 = -o + 4*f - 0*f. Let d be -1 + 24 + 3 + 4. Let u be 15\/6*24\/d. Solve 5*y - 2*x + o + 4 = 0, u*x = 4*y + 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 61. Sort -5, x, 2.\nAnswer: -5, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 3*m + 1. Let p(d) = -2*d**3 + 5*d - 3. Let r(f) = 9*f - 402. Let g be r(44). What is g*p(s) - 10*y(s)?\nAnswer: 2*s**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013956 to 5 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125 + -105. Let n = v - -324. Does 33 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 7*r + 118 = 0. List the prime factors of r.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*c - 14577 = -674*c + 39744 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*f**4 - f**3 - 1165*f**2 - 140181*f - 1.\nAnswer: 1140*f**2 - 6*f - 2330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 13*g**2. Let q(b) = -3*b + 1561004. Determine q(r(a)).\nAnswer: -39*a**2 + 1561004","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6262.005 to the nearest 100.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4641 (base 7) to base 4\nAnswer: 122133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 1, g: 1, u: 2, m: 1, i: 1}. What is prob of sequence mn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250789 is divided by 125.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -91, -0.2, 3, 913 in descending order.\nAnswer: 913, 3, -0.2, -0.4, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3\/9 + 11992*y**2\/9 - 35952016*y\/9 = 0.\nAnswer: 0, 5996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 300 - 2?\nAnswer: 2cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10920 and 8060.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/15*-63*(-1)\/1. Suppose -2112 = -u*z + 9*z. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-5))\/((-10)\/(-50)). Let g(n) = -n**2 + 3. Let l(r) = -1 - 6 + 2*r**2 + 0. Let o = -18 + 25. Determine o*g(b) + s*l(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(220) - (-1*sqrt(220) + sqrt(220) + sqrt(220))) + sqrt(220))\/sqrt(11) + 2*sqrt(980))\/((sqrt(80)\/sqrt(4))\/sqrt(5) + sqrt(100)*-6))**2.\nAnswer: 1125\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1644170?\nAnswer: 2, 5, 11, 14947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000457 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**9*x)))\/x**(-1\/2)*x**(2\/19)*x*(x*x**(3\/2)*x)\/x assuming x is positive.\nAnswer: x**(268\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -133 + 212. What are the prime factors of a?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406987666.\nAnswer: 2, 1637, 124309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 393532?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, -5, -33, 7 in descending order.\nAnswer: 7, 3, -5, -9, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**4*t**(-1\/4)*t)**(2\/63)\/((t*t**(-2\/7))**(4\/3))**3 assuming t is positive.\nAnswer: t**(-337\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1140*g**3 + 1131*g**3 - 31 - 3470*g**3 + 58 - 27 + 1141*g**3.\nAnswer: -58*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 73574649 to the power of 1\/3, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, n: 1, c: 2, u: 3}. What is prob of picking 1 z, 1 c, and 1 u?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057 greater than -35095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 155401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 3*x**2 + 13*x + 7. Let a be w(3). Let f(t) = -t - 7. Let o be f(0). Is a <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*b + 12, w - 2*b + 2 = 2*w. Find the second derivative of 38*t**3 - 38*t**3 - w*t**5 - t wrt t.\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(q**2 - q**2 - 3*q**2 - 2 + 2 + 5*q**2 - q**2 + 5*q**2 - 3*q**2 + (2*q + 5 - 5)*(-2*q - q + 4*q) - 3*q**2 + 5*q**2 - q**2)*(1 + 3 + 0).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -90*h**2 - 7062*h - 2477087 wrt h?\nAnswer: -180*h - 7062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*k. Let w = 3 - k. Let g = -5.8 - -0.8. Put g, 0.1, w in descending order.\nAnswer: w, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/1)\/(-1 - 1). Let h(y) = -16*y - 151. Let a be h(-10). Let j = n + a. Solve -7*m = -j*m + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3921317 is divided by 7570.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -483 and -0.8.\nAnswer: 386.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 4*o**5\/55 + 5*o**4\/22 + 8*o**3\/33 + o**2\/11 - 12. Suppose m(x) = 0. Calculate x.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 758, 1, 8, 20, -3 in increasing order.\nAnswer: -3, 1, 8, 20, 758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5 = -0. Suppose -2*n - 2*q = 6, -n + x*q - 2*q = -1. Let g(y) = 5*y**2 + 2*y. What is g(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110.69 + -113. Let m = -0.69 + i. What is the second smallest value in 0, -4, -4\/9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 4*x**2)*(0 + 4 - 2)*(-7*x + 2*x + 2*x) to the form f*x**3 + n*x**2 + o + a*x and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48431 is divided by 5380?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2377340 by 2.\nAnswer: -1188670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15827077902 + -2.\nAnswer: -2.15827077902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-294)\/28)\/(-21)*(-56)\/(-36)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3)\/(l*l**(-2)))\/((l**(1\/2)\/l)\/(l\/(l\/l**3))))\/(((l*l**(1\/4)*l)\/(l\/(l*l\/(l**(-1\/4)\/l))))\/(l**1)**(-49)) assuming l is positive.\nAnswer: l**(-149\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5035699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/(-1044)*(-12)\/20*-6*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 3, 1, 5.\nAnswer: 1, 2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 54*h**2 - 15*h - 406. What are the prime factors of b(55)?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10229 + 24561. Suppose k + 2220 = 8*q. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 6858.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 131, 212, 311, 434?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 2. Let p(u) = 928 - 2*u**3 - 15*u - 947 + 0*u**2 + 4*u**3 - 3*u**2. Let h be p(4). What is the closest to h in 0.4, -5, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llalaqylaqqalqyaq.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 207\/10, -21.9, 5?\nAnswer: -21.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 + 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-12)\/(-21))*528\/231\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1263 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -5. Let w = -43 + 30.6. Let o = -12.8 - w. What is the second smallest value in k, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/11)\/j**(-9))\/((j*j**(3\/8))\/(j*j*j**(2\/5))) assuming j is positive.\nAnswer: j**(4491\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169 - -172. Suppose 5*z - 19080 = -5*j, 2*j = -i*z + 8044 - 413. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859381 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -33. Suppose -3*j = 5*q + 25, 3*j - t = q - 1. Suppose j = -3*c - 2*m - m + 9, -5*c - 3*m = -15. Solve 18 = c*b + l, -b - l + 11 = l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 4*z + 120. Let h be z\/4*8\/(-6). Let m = 14 + h. Solve -2*q + 2 = m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -12.3, -2\/7, -4\/7, 5.\nAnswer: -12.3, -5, -4\/7, -2\/7, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 - 421 + 421. Let p(v) = 107*v**2 + 10*v - 5. Let f(m) = 210*m**2 + 18*m - 9. Let u(s) = 5*f(s) - 9*p(s). Determine c(u(j)).\nAnswer: -15138*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343670872 to the nearest integer?\nAnswer: 18538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3 - 36*m**2 + 180*m - 192 = 0.\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 885, -4, 1.1, 4\/15 in increasing order.\nAnswer: -4, 4\/15, 1.1, 885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 4*x + 3. Let s be p(5). Suppose -3*j + s*j = 180. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*t**5 + 1004*t**2 - 24*t + 144.\nAnswer: 720*t**3 + 2008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = 20*w + 18. Let c(v) = 7*v + 60. Let s be c(w). Put s, 32, -5, -1\/4 in decreasing order.\nAnswer: 32, -1\/4, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r + 165*r - 312 - 38. What is the smallest common multiple of 0 + 12\/2*3 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592*q = -600*q + 1696. What is the remainder when q is divided by 55?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c - 8. Let h be (0 - -1)*c + 8. Solve -l + 3*l = h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(-14)))\/t)\/t**(1\/4))\/(t*(((t\/t**0)\/t)\/t*t*t)\/t*t*t*t*t)**(1\/17) assuming t is positive.\nAnswer: t**(847\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25303 - -372?\nAnswer: -24711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 12:48 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s - 108. Suppose -2*y + 17 + s = 0. Suppose 2*a = a + 3*c + 66, 2*c + 132 = 2*a. Calculate the greatest common factor of a and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*n. Suppose -d + 10 = -n*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12043 a factor of 4746194472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**5\/20 + 7*r**4\/6 - 7*r**3\/2 - 9*r**2\/2 + 28*r. What are the prime factors of d(10)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/63)\/(3\/7)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060430 not equal to 2060428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -69*g**4\/4 - 1643*g**2. Let l(x) = -7*x**2. Give u(l(m)).\nAnswer: 2898*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 559718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 10:20 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -8*h**4 - 126*h**3 - 584*h**2 - 630*h + 196 = 0.\nAnswer: -7, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1797545 != -1797541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/3)\/(j*j*j*j\/(j*j\/(j\/(j\/(j**1*j*j*j*j))*j))*j))\/(j**(-11\/4)\/((((j\/j**(1\/8)*j*j*j)\/j)\/j)\/j)))**(1\/5) assuming j is positive.\nAnswer: j**(-169\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/7)*y\/(y\/(y*y\/y**(4\/7))))**(-2\/9) assuming y is positive.\nAnswer: y**(-38\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**4 + 24*g**3 - 65*g**2 + 96*g - 55. Let o(w) = -w**4 + 8*w**3 - 22*w**2 + 32*w - 18. Let r(m) = 7*o(m) - 2*u(m). Factor r(z).\nAnswer: -(z - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-280)\/(-165) - 12\/33.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4 - 34140*d**3 - 5932220*d**2?\nAnswer: -48*d - 204840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + 34*p - 33. Let t be i(-21). Let d = 406\/3 - t. Determine q, given that -1\/3*q**4 + d + 2\/3*q - 2\/3*q**3 + 0*q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 11*r**2 - 32*r - 18. Calculate f(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 8:50 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 times 0.5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 17. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -4*w**3\/3 + 1. Let n(z) be the first derivative of -7\/3*z**3 + 0*z + 0*z**2 - 16. Give n(b(a)).\nAnswer: -112*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6 - 16 = 0. Calculate the remainder when 38 is divided by ((-4)\/12)\/(h\/60).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2955321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(2 - 15\/9). Let c = k + 0. Let z(q) = q**2 + 2*q - 7. Let l be z(-3). Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -1, -2032059\/10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1779 - -1802. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3431\/9 + 381. Let c = 22 - 60.5. Let s = 39 + c. What is the closest to d in -1\/4, 2\/5, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 12*d - 7. Let r be g(-11). Suppose 0 = -r*m - 15 + 43. What is the highest common factor of m and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -56*q. Let g(d) = -481*d. Let u(j) = 4*g(j) - 34*m(j). Let a(w) = 258*w. What is u(a(i))?\nAnswer: -5160*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 + (-205 + 1)\/(-12). Let b be ((-32)\/12 + 3)*176\/t. Factor -20\/3 - b*w - 2\/3*w**2.\nAnswer: -2*(w + 1)*(w + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/(6\/(-8)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96182528 and 12022816?\nAnswer: 96182528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201325 (base 8) to base 11.\nAnswer: -45868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8462 + 8465. Solve q*s + 8*s - 55 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/15*(-16960)\/5936.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 475521 + 20?\nAnswer: 475541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 5411?\nAnswer: 16233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/74503218 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5411*w**2 - 44*w + 142. Is a(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -5 (b) 5 (c) 0.11 (d) -0.0578 (e) 0.6 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0.3. Let z = 1.23 - 2.23. Which is the closest to z? (a) g (b) 2\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**4\/12 + 2*y**3\/3 + 2*y**2 - 15*y. Suppose -6*v + v = 5*d - 55, 2*d - 58 = -5*v. Let a = -8 + v. What is f(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 356 - 180. Let c = a + -120. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3441891*-5\nAnswer: 17209455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/3, -59, 4.\nAnswer: -59, 1\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + r**3 - 2*r + r**2 - 3*r**2 - 99*r**4 + 2*r + 96*r**4 to t*r + o*r**3 + f*r**2 + c*r**4 + j and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29756994 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 225*v + 3404. What is w(-126)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + 0*d)*(-64*d**3 - 421*d**3 - 103*d**3).\nAnswer: 1764*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1109\/4 - 258405\/932. Suppose -4*l - 1183 + 406 = -5*f, 2*f + 4*l - 322 = 0. Let g = -158 + f. Is c < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 93, 97, 65, -9, -131, -307, -543?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:21 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 734148632 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-275))\/((-7302)\/(-53548)).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 2*j + 7 = 5*y, -y - 168*j = -2*y - 508 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2ab077 (base 13) to base 4\nAnswer: 10000330231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-186)\/16)\/3*(-33)\/88 and -11\/8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 0*r - 3*y - 21, 25 = -4*r - 3*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k - 3815 - 14137. Let s = -875 - k. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 10*j + 4 = 0. Let c = j - -63. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (293 - 315) + (-2 - -37)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/24)\/((-14)\/(-168)). Solve -2*a = -15 + p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-6 - -8) + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 7*i + 268. Let c(x) = -129*x - 845. Let g be c(-8). Let f = g - i. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s = -183*s - 408 - 357 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63165 and 4983.\nAnswer: 104917065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 + 158.5. Which is the smallest value? (a) 0.05 (b) 2\/9 (c) 7 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -2\/928555, -1\/4, -0.1 in decreasing order.\nAnswer: -2\/928555, -0.1, -1\/4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 323, 472, 609, 734, 847?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 121366, -27 in ascending order.\nAnswer: -27, -3, 121366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(196\/(-21))\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a - 195?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Suppose -5*u = 4*u - 153. Suppose k = z - u, 0*k = -2*k - 8. What is the remainder when z is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 - (-11)\/2. Suppose 5*f - 21 = -z*r + 14, -5*f - 3*r + 31 = 0. Let k = 7 - f. Solve k*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119*g**2*k**3*u + 90*g**2*k**2*u + 20*g**2*k**2 - 21*g**2*k - g*k**2*u + 20758*k**6*u + 2*u - 2 wrt k.\nAnswer: 714*g**2*u + 2490960*k**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004946234 to the power of 1\/3, to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**8\/2800 - g**6\/600 + 8*g**3\/3 + 22*g. Let n(m) be the second derivative of i(m). Factor n(a).\nAnswer: 3*a**2*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 35 = 5*u. Let s(q) = -q - 1. Give s(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15395 - -107953\/7. Does n = 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*p - 1 - 109*p**2 - 1 - 117*p**2 + 245*p**2 to the form s + i*p**2 + u*p and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*z - 823*z + 12220 + 22694 = 0 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*v - 4. Suppose -v*t + 60 = t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 6, 9 in descending order.\nAnswer: 9, 6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6. Let p(z) = z. Let v(n) = b(n) - 12*p(n). What are the prime factors of v(-6)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -921 + 8586. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y - 4. Suppose 26*b + 107 = -49. Let x(r) = -7*r - 5. Let q(v) = b*t(v) + 5*x(v). Let k(f) = -f - 4. Give -k(h) + 3*q(h).\nAnswer: 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + 2\/(-2) + (-162)\/(-2) is divided by 2\/(-2) + 19 + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 430\/364 + ((-38)\/532)\/((-3)\/(-48)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.066, -2\/9, 0.\nAnswer: -2\/9, -0.066, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 11*v**2 - 35*v + 13. Let m(c) = 5*c**2 - 17*c + 6. Determine -13*m(b) + 6*s(b).\nAnswer: b**2 + 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2823906256 and -24.\nAnswer: -23.7176093744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from zccezzeezzzz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6762 - -6766. Solve -16*m + 40 = c*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15846)\/(-556))\/(3\/(-2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.74918g to nanograms.\nAnswer: 87749180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30826118 divided by -3?\nAnswer: 30826118\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - 1)*(-3)\/3. Suppose -3*o - 2 - 1 = g*y, 0 = 2*o + 2. Let a(c) be the second derivative of -c**4\/12 + 5*c**2\/2 - 4798*c. What is a(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0 (b) 80033 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 = 11*x - 270. Calculate the common denominator of 45\/12 + x + (-78)\/(-216) and 5\/(-2) + (-1)\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -104.5 and 1426.\nAnswer: -149017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6252)\/(-25) - 14\/175. Calculate the highest common factor of m and 400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3334.041 millimeters in kilometers?\nAnswer: 0.003334041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + 2?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339 is divided by 446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7288 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 m when four letters picked without replacement from {a: 5, x: 2, u: 3, m: 2}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-429)\/481*96\/(-1584)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 19*r**7\/70 - r**6\/120 + 17*r**5\/3 + r**3\/6 - 76*r**2. Find the third derivative of u(a) wrt a.\nAnswer: 1368*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 306306951\/8 or 38288368?\nAnswer: 38288368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m**2 - 477*m + 31. What are the prime factors of t(79)?\nAnswer: 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 492, 648, 844, 1080, 1356?\n\"Answer: 20*j**2 + 96*j + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*q**4 + 783*g**2 + g*q**2 + 2*g + 18*q**5 - q wrt q?\nAnswer: -12*g**2*q**2 + 2*g + 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwvwwwwqqwqwvwwv. What is prob of sequence qq?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (8\/(-32))\/(2\/(-8)). Let z(n) = -2*n + 6. Calculate z(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 30 = k. Let r = k - -1. What is the biggest value in r, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x**2 + x + 1. Determine o(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-10)\/60*3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3299*o - 463*o - 1570*o + 346580 = 0 for o.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f - 2313 + 3999)*(0*f - 4*f + 2*f).\nAnswer: -4*f**2 - 3372*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, h: 8, l: 2, s: 2}. What is prob of sequence he?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.5, 1\/4, -2\/429, 2\/7, -5\/6?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**4 - 226*r**3 - 4162*r**2 - 9344*r + 13728 = 0.\nAnswer: -12, -4, 1, 143\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/((-4)\/(-20211))*(-5)\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + -7 + 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -143, -217, -293, -371?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -432 + -21804. Round u to the nearest 100.\nAnswer: -22200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 - (-348)\/(-42))*125*-7. Solve 2*z + x = 252 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 3 (b) 0 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (129\/(-43))\/(30\/4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 12, -1\/34, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 105*v**2 - 91*v - 1379. Determine d(104).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 466 - -243. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*m + 95785. Let u = 9157 - m. Round u to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1042*n - 567910. Determine l(-545).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -609*y + 10977. Calculate s(18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220311 (base 6) in base 5?\nAnswer: -4034130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**0)**17*(l\/l**(2\/3))**19 assuming l is positive.\nAnswer: l**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, y: 3, f: 1, z: 1, w: 3, a: 2}. What is prob of sequence fdda?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48737 - -3?\nAnswer: -48734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*b - 208*b + m + 272 = 0, -2*m = -5*b - 3*m + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -559\/70 - 4\/35. Find the common denominator of l and -119\/894.\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -33*a + 25172. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -20*m - 5. Let s(i) = i. Let r(l) = -4*s(l) + y(l). Is r(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 73.2, -3, 0.3, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 15.21, -0.2, 172, 0.3 in ascending order.\nAnswer: -0.2, 0.3, 15.21, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 2:41 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 4*l + 3*u - 204, 2*l = -3*u + 134. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(192) + sqrt(192) + -2 + sqrt(192)*-2)**2 - (sqrt(192) - (-5*(sqrt(192) + 0) + sqrt(192)) - (sqrt(192) - (3 + 0 + sqrt(192) + sqrt(192)))**2).\nAnswer: 8*sqrt(3) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c. Let h(m) = -19*m**2 - 11*m - 33. Let z(d) = -10*d**2 - 6*d - 17. Let r(b) = -6*h(b) + 11*z(b). Determine p(r(u)).\nAnswer: -12*u**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - (0 + -2)) + -2*(-10507 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 13 = 5*o, 4*m - 64 + 48 = -2*o. Let u(n) = 25*n**2 + 2*n + 2. Let k(c) = 925*c**2 + 75*c + 75. Give o*k(g) - 75*u(g).\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1445008817*j**3 - 1015161892 with respect to j.\nAnswer: 4335026451*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -507 divided by -13.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001038 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 2:37 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -145, -116, -81, -40, 7, 60?\n\"Answer: 3*r**2 + 20*r - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w**2 + 3*w - 1. List the prime factors of q(-5).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-5) + 6\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -3)*-1 + 2. Let z = -34 + 48. What is the highest common divisor of z and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**3 + 11*q**2 + 21*q + 3. Let i(r) = -r**3 + 4*r**2 + 7*r + 1. Let j(v) = -7*i(v) + 2*l(v). Let s be j(-5). Let n = -6 + s. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - 5*y + 452. What is c(-17)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/176 and -3\/352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, s: 6, o: 3, d: 1, z: 2}. Give prob of sequence ozso.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 2*v**2 + 2*v. Suppose -a - 6 = 3*x + 2*a, 4*x + 53 = 5*a. Is j(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - -478. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -302, -342, -406, -488, -582, -682, -782?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 522344346 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 100*y + 93. Let m(n) = 84*n + 93. Determine 5*g(z) - 6*m(z).\nAnswer: -4*z - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -215.\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 2*w**2 - 3*w**2)*(w + 0*w + w) - 11*w**3 + 12*w - 12*w - w + 0*w + 0*w + 3*w**3.\nAnswer: -12*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5115638 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507.171 nanometers in kilometers?\nAnswer: 0.000000002507171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 87*s**3 + 7*s**4 + 3 - 85*s**3)*(-s + 0*s + 3*s).\nAnswer: 10*s**5 + 4*s**4 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 less than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/17010 and 23\/13392540?\nAnswer: 40177620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 247354943 to the power of 1\/2, to the nearest integer?\nAnswer: 15728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.46941 to 2 decimal places.\nAnswer: -43.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 6:01 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193378 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -14*v + 9. Let o(n) = -2 - 5*n + n + v + 2*n. Determine o(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*k = 201*k - 765263. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4 + 10. Suppose 4*u - 66 = -r. Factor -2*f**3 - 6 + 10*f**3 + 3*f**4 - u*f - 9*f**2 - 5*f**3.\nAnswer: 3*(f - 2)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1695 and -30?\nAnswer: -50850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {w: 2, e: 1, t: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**10)\/r*r**(2\/3)*(r\/(r\/((r*r**(-6)\/r)\/r)))**(-31) assuming r is positive.\nAnswer: r**(683\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.72 plus 342658.38?\nAnswer: 342858.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31966955 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 9*k**2 + 10*k + 2. Let c be f(10). Suppose c = 2*t - 4*n + 14, 4*t + 2*n = -64. What is the tens digit of (-654)\/t - (23\/(-7) - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 + -21.6. Suppose 4*f - 274 = -274. Sort s, -0.5, f.\nAnswer: s, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-885)\/(-826)*8\/(-10)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*z + z + 679 - 259. Let m(j) = -j**3 + 11*j**2 - 14*j - 15. What is m(z)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**5\/3 - 524*r**4\/3 + 523*r**3\/3 = 0.\nAnswer: 0, 1, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**4*m**2 + 129*f**3*m**2 + 19*m**2 - 4 with respect to f.\nAnswer: -8*f**3*m**2 + 387*f**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 50 = -17*u. Let h be (6\/(-4))\/(3\/(-160)). Let c = u + h. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 84014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4330 = -4334 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356 - 434 = -6*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -7. Let s = -1.6 - -1.7. What is the nearest to s in p, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5232203.5 rounded to the nearest one hundred thousand?\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 19. Suppose 3*q - z = -5*r, -2*q + 0*q = -5*r + 40. Find a, given that 7*a**4 - 4*a**3 - 10*a**2 + r*a**3 - 4*a**3 - 5*a**4 - 6*a = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from wwwhwqhyhwyhyhwhww.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 492 = -a, 1736 = -5*a - i - 742. Let r = a - -497. Is 10\/13 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-6)\/2 - (-4)\/2. Suppose -4*b - x + w = -0*b, 4*x = -4*b + 8. What is the second derivative of 5*h**5 + 0*h**5 + 10*h + b*h wrt h?\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -290821 and 43.8.\nAnswer: -290777.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 84\/30 - 3\/(-15). Solve -y = t - 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*h - 3687 = -69*h + i, h + 5*i - 3681 = 0. Does 97 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 891 and 73656.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4788 = 4*q + 4826, 0 = 2*i - 4*q + 32 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1445*l**3 + 39948201 - 39948201.\nAnswer: 1445*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13785378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 12:42 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17162 * -0.2.\nAnswer: 3432.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 23. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-9\/4)*i*i)\/i)\/((i**(-2\/29)\/i)\/i*i*i) assuming i is positive.\nAnswer: i**(-137\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -221*-0.1\nAnswer: 22.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -27081*b + 38. Is z(-1) 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 1680 and 36.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13690\/9 + 10075147\/6624. Calculate the common denominator of 81\/644 and b.\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -1\/4 (b) -1 (c) 2768\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*i**2*o**3 + 2*i**2 + 7*i*o**3 + 5*o**2 - 2 wrt o.\nAnswer: 114*i**2 + 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 678115801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 2486 = 91*f. Let h(x) = -3*x**2 + 65*x + 2. Give h(f).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 5*t - 3. Let n be b(4). Let x = n - 43. What is x rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-9)\/4 - 1359\/(-36). Let f = -145\/4 + x. What is the closest to -2 in f, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 28 = -2*q. What is the greatest common divisor of 60 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1364116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448 - 2*t - 448 + 0*t + t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 - 11*r**4 + 34*r**3 - 14*r**2 - 35*r + 25.\nAnswer: (r - 5)**2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, l: 2, s: 3}. What is prob of picking 2 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -93. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6280865?\nAnswer: 5, 61, 20593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*q**3*t**4 + 5*q**3 + 2*q**2*t**4 + 7*q**2*t**2 wrt t.\nAnswer: 1464*q**3*t + 48*q**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 18*g. Let i be w(10). Let n = i + -112. What is the highest common divisor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l - 2660 = 36*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2726)\/87)\/47)\/((-2)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2\/7, -5\/2, 342, -5 in ascending order.\nAnswer: -5, -5\/2, -1\/3, -2\/7, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*j**2 + 24*j**3 - 1 + 2 - 82*j**2 to f*j**2 + k + o*j**3 + w*j and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4*a + 2*w - 144, 5*a - w - 330 = 0. What are the prime factors of a?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 8 - 3)*(-2 + 5 - 2)*(34 - 37 - 75)*(-2*w + w + 0*w).\nAnswer: 1404*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 137*j - 142*j + 7364798, -3*j = -2*c - 4418875. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 17*v - 10. Suppose 26*r - v = 25*r. Solve -3*y = -2*y + r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 241814?\nAnswer: 241810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 + 12)*(-6)\/2. Let g = 7 + v. Calculate the lowest common multiple of g and 3\/(-9)*-3 + 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 12:11 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1411\/18 - 469\/6. Which is the third biggest value? (a) -2 (b) h (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7 = -2, -5*q + 17 = -2*x. Solve 0 = 3*n - x*l - 4, 2*n = 22*l - 27*l - 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1037242 (base 8) to base 12.\nAnswer: 114b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/64 + 27\/(-4). Suppose -1 + 5 = -2*y. Let s = x - y. Is -4 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98640 is divided by 32755?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1561349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a**2 - 1. Let t be r(-1). Let q = 28 + -34. Let o = q + t. Solve -d = -o*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q - 21. Suppose -3 = 4*w + 13. Let y be t(w). Let x(i) = -29*i. Give x(y).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - 31*n**2 + 14*n + 20. Determine i(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k - 9. Let a(j) = 5*j + 8. Let p(v) = -7*a(v) - 6*b(v). Let y(g) = 21*g + 8. Suppose l = -98*l + 891. Calculate l*p(s) + 2*y(s).\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178684.\nAnswer: 2, 11, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42437776?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*a**3 - 2*a**2 + 287 - 342 + 2*a**2.\nAnswer: 142*a**3 - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -104*z**5 + 698*z**4 - 830*z**3 - 300*z**2 = 0. What is z?\nAnswer: -15\/52, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from lllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111210 - 103704 = 834*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6495, 16789, 27097, 37425, 47779, 58165?\n\"Answer: q**3 + q**2 + 10284*q - 3791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-554)\/(-14) + 18*5*7\/1470. Solve 0 = -34*v + l + 130 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 5*k + 2. Let m be h(-5). Let o be m*((-5)\/(-2) - -1). Solve 3*y + 1 = o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anccxja. What is prob of picking 3 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 7 + 16)*(-3 + 3 + 2)*((c**2 - 2*c**2 - 2*c**2)*(0 + 2 + 1) - 5*c**2 + 3*c**2 + 5*c**2).\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 9*f**2 - 9*f - 5. Let u be x(-8). Put 0, u, 4 in decreasing order.\nAnswer: 4, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r**5 - 207119*r**4 - 1264130*r**3 - 1988200*r**2 - 155202*r + 66519 = 0.\nAnswer: -7391, -3, -1\/4, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -495*t**5 - 372*t**2 wrt t.\nAnswer: -29700*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/9 (b) -25 (c) -4840 (d) -35 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00349818 to five decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*w - 171*w = -v, 4*v + 15 = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -68 - (37 - 80)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119121, -238236, -357351?\nAnswer: -476466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2697\/(-12))\/29*-4. What is the third biggest value in -2, 6, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 26*v**2 + 48*v + 5. Let f(k) = -2*k**2 - 2*k. Let b be f(-4). Let x be o(b). What is the closest to -2\/11 in x, -0.3, 0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*5\/(-6) + (-53)\/((-1908)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42.76 - -42.762296. What is o rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**3*q**2*t**3 + 6624*j**3*q**2 - j**2*q*t**2 + 2*j**2*q - 158*j*q**2*t**2 + q*t**3 + 2 wrt j.\nAnswer: -6*q**2*t**3 + 39744*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:41 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(189)\/sqrt(3)*-3 - sqrt(63))\/(sqrt(324)*1 - sqrt(9)).\nAnswer: -4*sqrt(7)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -5, -842, 17, -3 in descending order.\nAnswer: 17, -3, -5, -67, -842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 4*a**2 + a - 4. Let i be c(4). Suppose 5*t - 198 - 92 = i. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -296*o - 10952\/5*o**2 - 10.\nAnswer: -2*(74*o + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*g + 166*g - 1652 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = y + 20, -5*y + 2*w - 40 = -3*w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5110 + -3.\nAnswer: 5107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -107352*t**2 - 366978.\nAnswer: -214704*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.1. Let v = 2 - 3. Which is the third biggest value? (a) x (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-18 - -1) - -14.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 78, 0.03?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/679 - -7479\/3395. Find the common denominator of 16\/35 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005259 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 - 2*o**2)*(-5*o - 23 + 23).\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25156 = -2*b - 25150, 4*s + 13*b = 6*s + 35 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iao when three letters picked without replacement from hhahhhheoeiii?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.7201 + -3.03. Let u = w - -0.0099. Put 0.4, u, -1\/11, 12 in ascending order.\nAnswer: u, -1\/11, 0.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.578, 2\/11, -35, -4\/3 in decreasing order.\nAnswer: 2\/11, -4\/3, -1.578, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) + 5\/(-15). Let x be 0 + 4\/(b - -2). Solve 1 + x = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 65. Calculate y(-6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-4))\/(-3)*4\/18.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34813\/4 - -8704. Factor q + g + 1\/4*g**2.\nAnswer: (g + 1)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 18. Let s be (-4)\/h*(-45)\/(-10). Let g(y) = -y**3 + 5*y**2 + y - 3. Let v be g(5). Solve -v*b - b = -s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-63)\/18)\/((-3)\/(-54)*-3). Solve -37 = b*k - 58*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -244 + 379. Let z = m + -87. What is the least common multiple of z and -1 + 15\/5 + 3?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gygy when four letters picked without replacement from gyyyygy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*o - 328 - 6530 = 332*o. Sort 4, o, -9\/2 in decreasing order.\nAnswer: 4, -9\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, r: 14}. What is prob of sequence vvvr?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -235319*a**3*b + 17*a**3 + 582358*a**2 - 249*a*b - a + 1 wrt b?\nAnswer: -235319*a**3 - 249*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5254 - -2362. Let m be -4 - (-2 + (-46166)\/(-16)). Let w = m - d. What is the common denominator of 32\/9 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {c: 4, o: 16}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -250, -3, -1260293 in descending order.\nAnswer: -3, -250, -1260293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 4. Let d be h(2). Let q(f) = f**3 - f**2 + 3*f - 4. Let y be q(d). Calculate the greatest common divisor of 54 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2. Let p(j) = 10*j - 37 - 22*j + 6*j + 8*j. Determine p(m(c)).\nAnswer: 2*c**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0 = -9. Suppose -5*y + 10 + 15 = -3*b, 24 = 2*y - 4*b. Calculate the common denominator of a\/8 + y*-1 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -6*s - 164. List the prime factors of s.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/k**(17\/4))*k**(-14) assuming k is positive.\nAnswer: k**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 278 + 229. Suppose -4*s + y + 59 = 0. Let m = s + -26. Solve -11 + m = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 5*l**3\/3 - 42*l**2 + 2026*l - 2. Let b be (-11)\/(-1)*1 + -1. What is the smallest common multiple of 32 and o(b)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*l = -5*t + 12, 36 = 5*t - 3*l. Suppose -4*j = -t*j + 2342. Suppose 196 = 5*p + j. What is p rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 24 = 6*j. Suppose -15 = 5*q, j*q - 336 = -3*i + 3*q. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 10:24 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/(-2261) + 2145\/(-4284) and 1 + 130\/(-24) + 3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(3402))\/(-1*sqrt(216)) + 5 + (1 + sqrt(112))**2 + (sqrt(112) - (-1*sqrt(112) + sqrt(112)))*-6 + sqrt(112) + -4.\nAnswer: -27*sqrt(7)\/2 + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r - 142*r**2 + 2*r**3 - 17*r - 313*r**2.\nAnswer: 2*r**3 - 455*r**2 - 42*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244513 is divided by 433.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 1:45 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 751*x**2 + 31 - 75*x + 1637 - 70*x + 145*x wrt x.\nAnswer: 1502*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43937129 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a factor of 258622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*t = -3*y + 44, -10 = -2*y - t. Put -5, 3, y in descending order.\nAnswer: y, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245165 = 28*v - 133451. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 d, and 1 g when four letters picked without replacement from cgcdodigooyddoo.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**3 + 48*i**2 + 577*i - 1343. Calculate d(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -220 + 1679?\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, b: 5, v: 1}. Give prob of sequence qbb.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9640 and 68.\nAnswer: 163880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5327\/2 + 10643\/4. Find the common denominator of o and (-8)\/(-4)*29\/38.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:21 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 36*u. Determine m(3).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by 2669467\nAnswer: 86\/2669467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 8:49 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11955482*a**2 + 79716310*a wrt a.\nAnswer: 23910964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1568 = 2*t - 2063, -3622 = -2*t - 4*w. Let a = 3522 - t. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 8 + -1 - (-2 + -4 + -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3131 - 0?\nAnswer: 3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*l + 2659 - 194 = -851 - 294 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 247209*m - 5686342. Give r(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -257\/1253968 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 4*x**2 + x - 7. Let l be n(4). Let y(f) = -6*f - 5. Let b(j) = -5*j - 4. What is l*b(u) + 2*y(u)?\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2590.7594 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from udpph.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -680587657 divided by -180671.\nAnswer: 3767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -947969, -1895930, -2843893, -3791858, -4739825, -5687794, -6635765?\n\"Answer: -m**2 - 947958*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1452) - (-2*sqrt(48))\/sqrt(4))\/(sqrt(24)\/((sqrt(240)\/sqrt(4))\/sqrt(10))).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzwczwp. What is prob of picking 2 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0262684 - 313.9555316. Let k = -0.0182 + b. Let m = 313.007 + k. What is m rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 6251474.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s - 1. Let j be r(4). Let x be (-2)\/2 + -9 + j. Solve 0 = x*d + 18 + 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 9 = 5*b, 3*b + 3*c = -2*b + 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**3 - 1. Let s be q(-1). Suppose -s*k + 33628 = 3*c, 3*k + 13093 = 2*c - 9320. Let r(z) = -11208 + c - z. Let y(t) = -t - 1. Determine y(r(x)).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjjfqjqjeeerrvq. Give prob of picking 1 r, 1 f, 1 e, and 1 j.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1981279.2 months to years.\nAnswer: 165106.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10a66 (base 12) to base 2\nAnswer: -101011011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)*-1)\/sqrt(7) - -5*(sqrt(30) - sqrt(210)\/sqrt(7))\/sqrt(10).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*d - 24 = 0, 2*h - 5*d = -2 + 21. Let b = 9 - h. Solve b*r + 3*k + 10 = 0, k = 4*r + 7 - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1507938?\nAnswer: 2, 3, 251323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164491?\nAnswer: 19, 167, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**3 + 3*f**2 - 10*f + 3. Let y(d) = -18*d**3 + 8*d**2 - 30*d + 8. Let j(x) = -8*l(x) + 3*y(x). Find the second derivative of j(m) wrt m.\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5315 - 5315 - i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111828885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1074 and 2685.\nAnswer: 5370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*p - 102. Calculate the remainder when 74 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(3\/16)*i)\/((i*(i*i*i**(-1)*i*i)\/i*i)\/i)*(i\/(i**(-3\/2)\/i))**(9\/2))**(1\/40) assuming i is positive.\nAnswer: i**(249\/640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 143 - 71. Let a be ((-32)\/(-6))\/(48\/q). Let d(u) = 2*u**2 - 10*u + 1. What is the units digit of d(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -1. Let m(x) = 17*x + 33. Let i(j) = -45*j + 148. Let c(h) = -32*h + 104. Let u(b) = 17*c(b) - 12*i(b). Give y*m(q) - 9*u(q).\nAnswer: 2*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - 0.1. Is 1\/6 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15567 greater than -15574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - 3.6. Let o = 0 - z. Let x be (1\/(-2))\/(2\/(-8)). Which is the third biggest value? (a) o (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -91, -146 in increasing order.\nAnswer: -146, -91, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51224?\nAnswer: 2, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x = -12. Suppose 33 = x*y - 5*z, 3*y - 3*z - 14 = 13. Let q be y*((-21)\/(-9) - 2). What is the second smallest value in -0.4, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 2*q**3 - q + 1346. Let a(y) = 92*y - 2. Give a(t(h)).\nAnswer: 1104*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-3)\/(-24))\/((-2)\/20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2644.706 - 2645. Is u equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((5\/(-10))\/((-1)\/(-2))). Let d = 599\/7 + -605\/7. What is the fourth biggest value in -0.1, c, d, 15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 132687, 0.1, 2 in descending order.\nAnswer: 132687, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 10*z**2 + 11*z + 8. Let r be v(9). Suppose 0 = -5*m + r + 29. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3 + m**3 + 3 - 6*m**2 + 5*m**3 + 5*m - 5*m**3. Calculate the smallest common multiple of p(5) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*g = 103 - 106, -5*i = 2*g + 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130 - -134. Suppose -l*u + 3930 + 1170 = 0. Is u a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -39.87782.\nAnswer: -79.75564","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/4)*f**(-8\/11))\/(f*f**(-4\/9)*f*f**(-18\/11)))**(-16\/3) assuming f is positive.\nAnswer: f**(-956\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -5. Let a(n) = 2*n**3 - 39*n**2 + 11*n + 159. Let q be a(19). Solve -q*i = -c*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 263 + -260.02. Let l = 2.98164 - y. What is l rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 2*w + 2*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 14 + 0*w + w - 3. Let n be c(-5). Let y(p) be the third derivative of -p**6\/120 + p**5\/10 + p**4\/24 + p**3\/3 - 4*p**2. Determine y(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1764*x**5 + 34*x**4 + 52*x**2 + 5697*x.\nAnswer: 105840*x**2 + 816*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 2*k**2 + 11 - 25 - 4*k**2 as z + d*k + c*k**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 10*h**3 + 8*h**2 - 4*h. Let i(o) = -o**3 - o**2. What is 6*i(p) + m(p)?\nAnswer: 4*p**3 + 2*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 6:57 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*r - 120 = -39*r. Let c be 3*(-2)\/12*r. What is the nearest to -10 in 1\/6, c, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/4758 and 139\/78.\nAnswer: 4758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 h when four letters picked without replacement from {r: 4, u: 3, h: 4, k: 1, y: 4, v: 4}?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 577 - 566. What is the remainder when 35 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1378 = 2*z, 6*j - j = 4*z - 1715. Let o = -332 - j. Solve -3*k + 3*i = o, -4*i - 15 = -2*k - 7*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2848)\/(-1)*(-11)\/(-22)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45151 by -39.\nAnswer: 45151\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(17 + n - 20 + 37).\nAnswer: n + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5984 by -70.\nAnswer: 2992\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*0.6\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14724191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -4, 0.1, 64?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 896341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from noccccncooooncvooo?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 27. Let k = 196.3 - 193. Let z = -3.3 + k. Which is greater: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0702397 rounded to 3 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 6635*j + 46556. Calculate p(7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2002645.\nAnswer: 5, 41, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758970 is divided by 1727?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 6)*(-3 - 3 - 3)*(0*l + 0*l + 4*l**3) to the form o*l**3 + q*l + c + v*l**2 and give o.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 647224 to the power of 1\/2, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b159b4 - 5?\nAnswer: -1b159b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -3*a**2\/2 - 4*a + 5. Let s be n(-3). Find the third derivative of s*q**3 + 2 - 2 + q**2 - q**3 wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37253.\nAnswer: 37253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q. Suppose 13 = 2*f + 3*i, -4*f + 9 = 4*i - 15. Suppose 0 = -p - f*h - 8, 3*h = -1 - 5. Let v be l(p). Solve v*k + 0*k = -2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000200314 rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -4*430\/(-2). Let f = 1358 - i. Suppose 5*x + 2*x = f. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6216*i + d = -6217*i + 8, -i + 4*d = 2 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 14. Suppose -o*m + 32*m - 408 = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqqj. What is prob of picking 1 j and 2 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (43*135\/1161)\/((-3)\/(-8)*(-6)\/18)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3548.8 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38863026?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 + 8*f + 11. Let s be w(-3). Sort -22, 0, s.\nAnswer: -22, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2 + 85380*d - 3 - 84498*d to the form l + b*d and give b.\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - 26. Is 41091\/18 - (-4)\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*b - 33 = -5*v, 5*b = 3*v - 23. Suppose 20 = v*q - 4. Solve -q*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -552798619*b**3*g**3 - 3*b**3*g**2 - 7*b**3*g - 25*b**3 + 275*b*g**2 + 18*b wrt g.\nAnswer: -3316791714*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 230 - 226. Find w, given that -4853*w - 5*w**4 - o*w**2 - w**5 + 4853*w - 8*w**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (935\/66)\/((-2)\/(-6)). Let k = -599\/14 + y. What is the closest to k in -2\/3, -0.1, 1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/5, 2, -2\/13, 2\/7, 5, -31 in increasing order.\nAnswer: -31, -9\/5, -2\/13, 2\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 4*w + 2 + 4*w)*(w**2 + 7*w**2 - 3*w**2) as c*w**3 + x + p*w + b*w**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 178252 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20936029, 41872063, 62808097?\n\"Answer: 20936034*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8160 + -8160.00007888. Round q to six dps.\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415 less than or equal to 3413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -401 - -120504?\nAnswer: 120103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2000477\/48 - 41679. What is the common denominator of t and -1?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132198530 divided by -29\nAnswer: 4558570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -5*g + 2*y, 1907*g + 11 = 1903*g + y - 29 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 4, -0.3523, 0.3, -27, 3\/5?\nAnswer: -0.3523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 232\/(-261)*(-225)\/3100?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = r - 4*r + 6, -3*j + 24 = 3*r. Let h be -1 + r - (-11)\/(-3). Let g = -4 + 2. What is the second biggest value in 0, h, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-63)\/(-32))\/(40\/(-120)).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89805 is divided by 7482?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5293 and 618209.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 5 (b) -0.2 (c) 81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 11:54 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.222 - -1.2. Let x = j + -0.036. Round x to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*g**3 - 133*g**3 + 466*g**3 + 328*g**3.\nAnswer: 941*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9905.675um in meters?\nAnswer: 0.009905675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*q + 600, -3*o + q = -2*q - 0*q + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - 53. Is -66 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from {l: 3, q: 13}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 3*q**3 + 0*q**3)*(49*q - 12335 + 12335).\nAnswer: 196*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 3*n + 5. Let z be (-2 - (1 - 1))*-5. Suppose -3 = 2*o - 4*m - 9, o = -5*m + z. Give t(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 + 4891096?\nAnswer: 4891147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.0151 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2809625207204 - 0.015\nAnswer: 2809625207203.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/35007 and -139\/30006?\nAnswer: 210042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(-2 + 3 - 0). Let b(j) = 5*j - 37 - 30 - 36 + 99. Let w be b(u). Round w to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 12. Suppose 5*h + 20 = 2*o, -h + 20 = -q*h. Is (o - -13) + (-4)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025022 rounded to 6 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 9*p + 23. Let d be t(-3). Solve y + d*q = 6*y - 20, -8 = -y + 5*q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4 - 189\/(-54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156141512 and 14856.\nAnswer: 4952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 5. Let v be a(0). Suppose 0*p - p = -t - 2, v*p - 25 = 0. Sort -4, t, 2.\nAnswer: -4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/11)\/(22\/(-209)). Let p = -475\/42 + -46\/21. Let l = a + p. Calculate the common denominator of l and 9\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 40 = -3*q + 42, 154 = 5*q + 2*k. Suppose -930 = q*j - 32*j. Calculate the greatest common divisor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21578 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1069?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2239*o - 42171 = 3290*o + 12481 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 1. Let u(g) be the second derivative of -g**3\/3 + 2*g**2 + 2*g. Let z(q) = -3*u(q) - 12*w(q). Is z(4) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*p**3*s - 5240*p**2*s**2 + 3*p - 89001*s**2 wrt p.\nAnswer: -6*p**2*s - 10480*p*s**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*w = -4, -2*w + 3 = -2*g - 1. Solve g*h = 7*h - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((5*sqrt(85)*-1)\/(2*sqrt(20)\/sqrt(4)) + 2)**2.\nAnswer: -10*sqrt(17) + 445\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*o)*(2 - 2 - o)*(3 - 3 + 2).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4\/2 - 3*k**3 + 3*k**2\/2 + 3*k.\nAnswer: -3*k*(k - 1)*(k + 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 3. Let j be 1*142*(-19)\/38. Let o = -71 - j. Calculate r(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 2:31 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from {b: 4, u: 3, f: 6}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -1 + (-2877 + 2925 - (-2 - 1)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5 + 69. Let n = z + -13. Suppose -n*q = 3*q - 360. Calculate the highest common factor of 20 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -226 + 223. Let d be (45\/(-27) - -2)\/((-1)\/z). Is -6\/61 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -7*d**4\/12 - 3*d**2\/2 - d. What is the first derivative of o(r) wrt r?\nAnswer: -14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1088 and 124.\nAnswer: 33728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 15, 3 in increasing order.\nAnswer: 0, 2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3056462 is divided by 3056403.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -4, -2*w - 3*r = -31. Calculate the highest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 - 17 = 0. Suppose 120 = 4*t + 5*n - 4, 5*t + 2*n = 138. Calculate the remainder when t is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -1\/6*f**2 + 0*f + 30 - 1\/24*f**4 - 1\/6*f**3. Suppose h(m) = 0. Calculate m.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 3*u**2 - 7*u + 18. Let j be v(6). Let h = 166 + j. Calculate the remainder when 130 is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.4 (c) 4226 (d) -4 (e) -5 (f) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l + 114. Let z be j(19). Solve 0 = 4*g - 2*f, 2*g + 4 = -z*g + 2*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {x: 1, j: 6, b: 7, n: 4}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 5, -7.8 in decreasing order.\nAnswer: 5, -2\/17, -7.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/10 and -91\/6450.\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*r - 84 = -0*r, 43 = -i + 3*r. Let j = i + 118. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2. Let u(m) = 9*m + 3. Determine i(u(f)).\nAnswer: 243*f**2 + 162*f + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 156755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4, 3*l + 2*v - 20 = 3*v. Let w(s) = 2*s - 12. Let j be w(l). Which is the closest to j? (a) -3 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10300 (base 6) to base 15.\nAnswer: -639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 49*d + 7. Determine i(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-2\/69))\/(((w\/(w*w*w**(3\/11)))\/w)\/w) assuming w is positive.\nAnswer: w**(3980\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**3 - 12*z**2 + 11*z - 23. Let r be q(10). Let i = 4949 - r. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 13\/5 (b) 0.1 (c) 3 (d) 16 (e) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1124 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2 - o - 5*o + 4*o + 7*o**2 + 4*o. Let j be p(-2). Suppose h = 5*m - j - 28, -4*h - 36 = -2*m. Calculate the smallest common multiple of 16 and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/18 and -103\/485900.\nAnswer: 4373100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 6.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0396 - -1.4106. Let r = 0.147 + l. What is r rounded to two decimal places?\nAnswer: 1.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*c**3 - 9\/4*c**2 - 15\/8*c + 0.\nAnswer: -3*c*(c + 1)*(c + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14732*k**4 - 65*k**2 - 3*k - 1.\nAnswer: -353568*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2. Let g be l(1). Let n be -2 - -3 - 11*3\/g. What is the remainder when 33 is divided by (9\/(-5))\/(0 - (-2)\/n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 97395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1.8 (c) 39829\/2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s**2 - 5*s - 5. Let k(h) = 22*h**2 + 16*h + 16. Suppose -44 = i - 19. Let n = -41 - i. Determine n*c(a) - 5*k(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = c - 11, -143*u = -2*c - 144*u - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14 - 3*p**2 - 5*p + 23*p - 14 - 15.\nAnswer: -3*(p - 5)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97647311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 12*d**2 + 2*d + 243. Let z(m) = 285*m. Calculate z(s(l)).\nAnswer: 3420*l**2 + 570*l + 69255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7896872 (base 10) to base 14.\nAnswer: -1097c24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 16 = 0, -3*g - 13 = -4*z - z. Solve 0 = 3*c - 3*u, 0*c - z*c - 5*u = 40 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -8. Let j = s + 8. What is the least common multiple of (-160)\/(-15) + (-4)\/j and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1326654 and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33366041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = 2*h. Suppose -g + 8892 + 5386 = h*c, -6 = 3*g. Is 29 a factor of (-1)\/(1140\/c - 3\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let o = q - -0.1. Let z be (15\/(-18) + 1)*(11 - 12). Which is the nearest to -1? (a) -1\/5 (b) o (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/342 and -139\/18810.\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3360?\nAnswer: -3359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9044 + -9071. Put 13, y, 0.02 in descending order.\nAnswer: 13, 0.02, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 406*c**3 + 22*c**2 - 31*c + 23. Let x(j) = -136*j**3 - 8*j**2 + 11*j - 8. Determine 6*r(b) + 17*x(b).\nAnswer: 124*b**3 - 4*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*((-9)\/(-12) - (-18)\/(-8)). Suppose 0*p - l*p + 3 = -u, 3*p - 3 = 0. Suppose 0 = -3*y - u*y + 1143000. Round y to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/c)**31*(c\/(c\/(c\/((((c*c**1)\/c)\/c*c)\/c*c))*c))**(5\/6) assuming c is positive.\nAnswer: c**(-563\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**5 - 1369*p**4 + p**2 + 555*p?\nAnswer: 60*p**2 - 32856*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 12. Let b be l(-11). Let d(s) = 4*s**3 + 2*s**2 - 1. Let t be d(b). Suppose 0 = 2*c - 4. Solve -t - 1 = c*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1568\/1328367 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + (sqrt(204) - sqrt(204)*3))) + sqrt(204))\/sqrt(12)*-3.\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6804379?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 1. Let g(u) = -2*u - 3. Let k(r) = -g(r) + 3*t(r). Let h(f) = 18*f. What is h(k(q))?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5 (b) -2 (c) 13\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11882022 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + y + 2*i + 1562, -2*y = 4*i - 1568. Let s = y - 425. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*a*q**2*s - 2*a*q*s**2 + a - 8*q**2*s**2 + 2*s**2 wrt a.\nAnswer: -7*q**2*s - 2*q*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 4. Let a(m) = m**3 + 30*m**2 + 29*m + 17. Let g be a(-29). Suppose 27 = g*k - 24. Let y(n) = -1 + 1 - 1. Determine k*y(b) - v(b).\nAnswer: -b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 736513 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 745061.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 12*x**2 + x + 14. Let b be f(-12). What is r in -r**4 + 2*r**4 - r**b + 3*r**3 - r - 2*r**5 + 0*r = 0?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(14) - -1*sqrt(14)) - sqrt(14))\/sqrt(7).\nAnswer: -13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 277 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**3 - 6*x**2 + 332*x.\nAnswer: 6*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101001 - -1110110?\nAnswer: -11110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -27637 + 63*v + 27638 - 75*v. Let w(q) = -3*q. Determine r(w(y)).\nAnswer: 36*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -737839*v**2 + 1292592 wrt v?\nAnswer: -1475678*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6.394 (b) -11 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3))**(-43)*(g**(1\/4))**(-13\/5)*((g**(1\/3)\/g)**(-25))**(2\/37) assuming g is positive.\nAnswer: g**(-63083\/2220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 1, 4, -1, -18, -4 in ascending order.\nAnswer: -49, -18, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 16*d - 8. Let j be y(-17). Let m = -5 + j. Solve m*i = -7 + 23 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398247211 - 398247211 + 277*j.\nAnswer: 277*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 6*s**4 + 32*s**3\/3 - 872*s**2\/3 + 64*s = 0.\nAnswer: -8, 0, 2\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1780158 + -68541.\nAnswer: -1848699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 262\/279 + -21485\/45756. Find the common denominator of y and 143\/24.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207200 and 3745?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 291.119 - -0.881. Let l = r - 296. Let y = 249 + -2737\/11. What is the closest to -0.09 in l, y, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37928 or -227569\/6?\nAnswer: -37928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 204792\/55 - -152459\/11. Let m = -30594961\/1740 + p. What is the common denominator of -79\/10 and m?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -1.2, -18, -7 in ascending order.\nAnswer: -18, -7, -5, -1.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 + 7*p + 40. What is the tens digit of f(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 67*u + 7. Let k(n) = n**2 - 34*n - 3. Calculate -5*k(g) - 2*s(g).\nAnswer: -g**2 + 36*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j + 174 - 22 + 162 - 28 to the form o + c*j and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d + -23e?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146 - 53. Suppose -5*b + 77 + y = 0. Suppose 2*j - 92 = -b. Calculate the greatest common factor of j and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055 a factor of 795689835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/9 + 12464*z**2\/9 + 1722848*z\/9 + 58891264\/9 = 0 for z.\nAnswer: -68, 6368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 6375 (c) -5 (d) -0.3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 7*l**2 + 3*l + 8. Let j be o(-6). Suppose -2*s - 285 = -59*i + 56*i, -2*s + 79 = i. What is the greatest common divisor of i and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -4, -22, 2\/15, -0.07?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-3))\/(7\/(-42)))\/11.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -62*q - 4164. Give k(-64).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 106, 105, 104, 103, 102, 101?\n\"Answer: -y + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-420)\/4536*-54)\/(2\/(-30))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16600)\/(-2905) - ((-2)\/7 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -435 (base 9) to base 5\nAnswer: -2411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -126 (c) -2\/13 (d) -40\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7060 = -128*h - 336*h - 1292 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -42166161?\nAnswer: 42166153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcmmcmmcuku. Give prob of sequence cucm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 7*c - 2. Let r(v) = 2*v**2 + 14*v - 4. Let n(s) = 7*p(s) - 4*r(s). What is n(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**3 + 45*l**2 - 240*l + 260 = 0.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t + 66. What is l(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 35, 1, -2\/3, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -352 - -352. Suppose 5*u = -2*j - 2*j + 39, s = -2*j - 3*u + 17. Put j, -3, 0 in decreasing order.\nAnswer: j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/7, -20, 0.4, -0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88291515 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3399574 to four dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 5960*s**3 - 4*s**2 - 23840*s.\nAnswer: s*(s - 2)*(s + 2)*(s + 5960)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 3:08 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3545968 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*s**4\/8 - 11597*s**3\/4 - 45899*s**2\/8 - 5717*s\/2 = 0.\nAnswer: -22868\/163, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1656)\/(-1725))\/((-1444)\/950).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 814790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**13))\/(b*b\/(b**(-30)\/b))*b**(-35)\/b**(-8\/7) assuming b is positive.\nAnswer: b**(-377\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170160504 and 30264.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2086 - 0.1316. Let c = 144.023 - 144. Let j = c + v. Which is smaller: -5 or j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*r - 18 = 0, -3*o + 5*r + 3 = 9. Let c(q) = -3*q**3 - 3*q**3 + 6*q + 9 + o*q - 7*q**3. Let x(j) = 6*j**3 - 4*j - 4. Calculate 4*c(b) + 9*x(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2019)\/(-3) - (-11)\/(-22))*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jekh when four letters picked without replacement from {k: 3, d: 1, u: 6, h: 2, j: 2, e: 1}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*o + 186*o + 206*o - 280 = 0 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 57, -1.\nAnswer: -1, 26, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2423201645 - -2?\nAnswer: -2423201643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7367, 10587, 13795, 16985, 20151, 23287, 26387, 29445?\n\"Answer: -c**3 + 3227*c + 4141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, r: 3, s: 2}. What is prob of sequence srrs?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 770134344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 5. Let u(j) = 2*j - 1. Let x(w) = 96*w - 2. Let y(c) = -3*u(c) + x(c). Is y(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-4 + (-1112)\/36)*-6. What is the units digit of 3*(c\/20)\/(2\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*b + r, -2*b + 11*r - 12*r + 9 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25878, -51755, -77632, -103509?\nAnswer: -129386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-1)*y*y))\/y**10*(y\/y**(-2))**(-11\/2) assuming y is positive.\nAnswer: y**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 45.\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*o**2 - 8*o**2 + 164861*o - 164791*o - 300 + 2*o**3.\nAnswer: 2*(o - 2)*(o + 5)*(o + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-209)\/((-34067)\/(-1304)))\/(((-2)\/(-4))\/((-5)\/(-2)))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -1\/18, -2, -2\/3, 4?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - x - 3*x - 19, 44 = 11*x. Suppose -10 = y + y. Let v(r) = 7*r**2 + 9. Let j(p) = -10*p**2 - 13. Determine i*v(b) + y*j(b).\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1319, -5182, -11621, -20636, -32227, -46394, -63137?\nAnswer: -82456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/3 (b) 16 (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23970 and 73364180.\nAnswer: 220092540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3217 less than or equal to 3311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69073*z**2 - 9*z + 24?\nAnswer: 138146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 24*n**3 - 2 - 2*n**2.\nAnswer: -24*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 749, 743, 725, 689, 629, 539, 413?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4136*c + 14344 - 14344 as p*c + u and give p.\nAnswer: -4136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 269478 divided by 1.\nAnswer: 269478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15467659 - -15467650.200053. Let l = o - -8.8. Round l to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*255 + (-248)\/31 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-518)\/(-42))\/((-1)\/3). Let s = n + 73. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -144441 - -31525?\nAnswer: -112512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 49. Let w be (-19)\/36 - i\/54. Let s = -2\/15 - -3\/10. What is the closest to -2\/5 in -4, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62056*o - 46056 with respect to o.\nAnswer: 62056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -7*a + 336. Suppose 36 = 2*j - a. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 238209253*r**2 + 83083120*r wrt r.\nAnswer: 476418506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8046 divided by 27.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13514 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6*(34\/(-4) + -2). Suppose 2*j = -4*z + 2, -3*j - z = 3*z - 9. Let d = c - j. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 4*b - 5. Let q(u) = -3 + 5 + 2 - 4*u + 0*u. Let d be q(-1). Let p be l(d). What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.689 + 0.449. Which is the third smallest value? (a) -0.15 (b) v (c) -2 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 49.6. Let y = l - 7. What is y rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -i, 11*n - 12*n - 4*i = -162. Suppose 4*m = 2*j - n, 0 = j - 0*m - m - 85. Calculate the remainder when j is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*x**3 - 183*x**3 + 52*x**3 + 55*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 9:42 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 5*x - 3*x + 435*x + 118*x - 83*x + (-3*x - 1 + 1)*(-3 + 3 + 1).\nAnswer: 469*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 8*m**2 + 7*m**2 + 2 + 0*m**2 as j*m + d*m**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38.9 + -22.5. Let x = n + -14.4. Is x greater than 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5) + ((-208)\/39)\/16?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 2*l + 12. Let a be (-26)\/(-117) - 34\/(-9). Let i(v) = -2*v**2 - v + 13. Suppose -3 = -4*b - 23. Let w(d) = a*i(d) + b*f(d). Factor w(x).\nAnswer: 2*(x - 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*s + 26*s - 110*s)*(2*s + s - 5*s) + 0*s**2 - 4*s**2 + 2*s**2 to the form x*s**2 + z*s + u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13612.\nAnswer: 2, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3\/868, -186, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, y: 4}. Give prob of picking 4 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + d - 5*d)*(2 + d - 2 + (-5 + 3 + 4)*(d - 3 + 3) - 2*d - 2 + 2).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*p + 45 = 51*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stfffsassssa. What is prob of picking 1 s and 1 f?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 8*b**2 - 17*b + 13. Let i be v(5). What is the common denominator of -58\/33 and ((-186)\/12 + 0)\/(i\/(-2))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 0)*(-4*c + 14*c + 2*c) - 37*c - 24*c - 75*c as z*c + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70037 and 2.\nAnswer: 140074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15937871 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15159310 - 1147550 = 61*h - 121*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/14*(-4)\/3)\/(57\/(-8778))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 4*b = -7*s - 5, 10 = -5*s - 3*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 12*g. Let j(f) = -25*f. Let q(r) = 13*h(r) + 6*j(r). Let i(k) = 3*k. Calculate q(i(c)).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0012, -10.1, -4\/159?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 43, 58, 87, 136, 211, 318?\n\"Answer: b**3 + b**2 + 5*b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264570, 264754, 264938, 265122, 265306?\nAnswer: 265490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -4*j. Suppose m + 2*w + 14 = 2*m, -j*m + 2*w + 20 = 0. Solve -3*s = -m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -176, -157, -140, -125, -112, -101?\n\"Answer: -t**2 + 22*t - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29930, 29924, 29914, 29900?\n\"Answer: -2*f**2 + 29932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -5, 4, 2, -4, -60.\nAnswer: -60, -5, -4, 2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 10*v**2 + 27*v + 15. Determine c(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -10*w**3 - 87*w**2 - 6. Let f(b) = -50*b**3 - 434*b**2 - 32. Calculate -3*f(i) + 16*k(i).\nAnswer: -10*i**3 - 90*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = -0. Let f be ((-78)\/156)\/((-3)\/(-2)). What is the closest to r in 1, f, 2\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*(168\/(-9))\/((-460)\/(-138))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b. Solve 4*o - o = b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.6 + 10.6. Let g = -13\/2 + 6. Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(13) + -3 + 3)**2.\nAnswer: 4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 9. Suppose 4*c - 12 = 2*v - 30, -2*v - 5*c + 9 = 0. Suppose -x*a = -2 - v. Solve -a*i = 2*z + 11, 5*z = -0*z + 5*i + 35 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(34)\/sqrt(2)*3.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372658*t - 35721 = 372091*t for t.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 - 16*j - 12. Let y be g(4). Solve -4*n + y = 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -50, -75, -100?\n\"Answer: -25*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -17 + (-2)\/2 + -1. Let x be (-4)\/(-7) - (-995)\/35. Let u = x + r. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/9993244 and 29\/43604.\nAnswer: 109925684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5639*z**3 + 42477*z wrt z?\nAnswer: 33834*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 782.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 51\/(-2))*4\/(-5). Suppose -22*r + t*r + 72 = 0. What is the derivative of -22 - q + r*q + 32*q - 10*q wrt q?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48146 is divided by 1205.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 9 - 1)*(8*v - 13 + 13) to the form s + x*v and give x.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 + -3.15. Let p = 0.64999891 + r. What is p rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(0 - -3)\/9. Let b = a - 1. Suppose 0*q + 2*h = 3*q - 10, b = 4*q - 5*h - 11. Solve z + z = -q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*k. Suppose k = 5*c - 41 - 14. Suppose -c*u = -557 + 40. Calculate the remainder when u is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 11:59 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 7 - 3. Suppose 2*w - 3*b - 242 = 0, w = -y*w - 5*b + 325. List the prime factors of w.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 2)*(-4 + 1 + 5)*(j - 20 + 20) as r + v*j and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14047 times -4962\nAnswer: 69701214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4115*x**2 + 37 + 1683*x**2 - 37.\nAnswer: 5798*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -38\/5*i - 176\/5 - 2\/5*i**2 = 0. What is i?\nAnswer: -11, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -6. Suppose 0 = -a*k - 1 + 11. Suppose -k*b = -0*b - 662. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 512.548.\nAnswer: -1537.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2 - 1 + 0*v + v - 3*v. Give t(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-583)\/(-13) + (-4)\/(-26). Let i = -25 + x. Solve -a - f = -6, 3*f - i = -f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6927424*k**4 - 160773088*k**3 + 891754564*k**2 + 476455200*k + 60840000 = 0. What is k?\nAnswer: -1\/4, 3900\/329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2091*n + 34 - 34.\nAnswer: -2091*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - n + 2. Suppose 27 - 3 = 8*b. Let w be y(b). What is the greatest common divisor of 64 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0*v + v - 7)*(-36 + 33 - 39*v**3 - 3*v**3).\nAnswer: -42*v**4 + 126*v**3 - 3*v + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:57 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00029756 to six decimal places.\nAnswer: 0.000298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-11397)\/87 + 17 + 50\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i - 1. Let r be x(-1). Let z be 7\/70*25 + (-75)\/(-6). Solve -r*k + z = -5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3618045139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 16*b**2 - 30*b + 16. Calculate l(18).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 4*l**2 - 3*l + 10. Let j be p(-5). Let o = -1474 + 2502. Suppose 2*a - 6*a + o = j. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4 = 2. Let n = o + 3. Solve n = x - 4*x + 4*c, -4*x - 4 = -4*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32220 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 2908.\nAnswer: 872.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 - 88*i - 74*i to f*i + n and give f.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5\/9 - 8*q**4 + 128*q**3\/3 - 736*q**2\/9 + 160*q\/3.\nAnswer: 2*q*(q - 30)*(q - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.7 + -2.4. Round f to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-12)*2*(-164)\/(-123)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2377 times -0.01?\nAnswer: 23.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*c + j + 154, 2*c + 5*j = 203. Let z = 12 + -5. Suppose z*a - c = 4*a. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**2*l**4 - 4421815*i**2*l**2 - 4*i**2*l - 307*i*l + 3*l + 1819 wrt l.\nAnswer: 48*i**2*l**2 - 8843630*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448231579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2678306 - -3954637. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 12*z + 35. Let s be j(11). Let v(f) = -43*f + s*f + 20*f. Let y(c) = -c**3 - 6*c. Let r = 2 + -3. Determine r*y(h) - 5*v(h).\nAnswer: h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1792314147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -276 - -271. Which is the smallest value? (a) o (b) -2\/13 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 501*b - 27931 = -188*b + 586*b for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -4*c + 2*j, j = 5*j - 8. Calculate the remainder when c is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/80*-1*3132\/(-1566).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9596873000 to the nearest 1000000.\nAnswer: -9597000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 5 - 5)*(2101*b - 3695*b - 1649*b).\nAnswer: 6486*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**8\/20160 - t**7\/1260 - t**5\/30 + 31*t**3\/2 - 21*t**2 + t. Let x(a) be the third derivative of f(a). Calculate x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37279767 and 2?\nAnswer: 37279765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -180*v + 181*v - 3*a + 9, 3*a - 18 = 2*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.44 - 5.4926. Let m = v - -1.0526. Which is smaller: -27 or m?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 343 + -325.6. Let y = t - 16. Which is the second smallest value? (a) -0.3 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 542295 + -542290. Suppose -5 = -3*m + 8*m. Sort q, m, 31.\nAnswer: m, q, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 2*m + 19, -3*p = -0*p + 3*m - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 119854318.5 less than 11.682?\nAnswer: -119854306.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from vyfvyfwvvhyuuy.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/15 - 6*w**3\/5 - 854*w**2\/15 + 718*w - 660 = 0 for w.\nAnswer: -22, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atee when four letters picked without replacement from eteetta?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8530*-0.551\nAnswer: 4700.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 1\/12*s**5 - 134*s**2 + 0*s**4 + 0*s + 0*s**3 + 0. Let j(w) = -2*w**2. Calculate j(v(x)).\nAnswer: -50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-5530)\/12)\/((-238980)\/10242)\nAnswer: 79\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 32 + 28 + 74*f**2.\nAnswer: 74*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -3*f**3\/2 - 11*f**2\/2 + 8*f. Differentiate d(t) wrt t.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000553 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11375 and 12675.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u - 265. What is the remainder when u is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35)\/(-42)*8\/(-30). Let t = -21 + 0. Let p be -7 - -3 - 70\/t. Sort 0.12, p, a in ascending order.\nAnswer: p, a, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*f - 27357 - 209283. What are the prime factors of f?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 - 8*n + 7. Let c(t) = -t**2 + t - 1. Let a(y) = -6*c(y) - u(y). Let x be a(-3). Let j be -2*1\/x - -6. Solve -o = -0*o + j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*p + 23 = 0, 0 = -4*n + p + 3*p - 28. Let q(m) = m**2 - 12*m + 21. Let g be q(10). Let t be 4 - (12\/4 - g). Sort n, t, 3 in decreasing order.\nAnswer: 3, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 1441?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2666194 is divided by 1404?\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*j + 111*j + 114*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 8. Let f be o(-9). Let b be ((-18)\/5)\/(f\/(-50)). Suppose 5*q - 170 = 4*h, -3*q = 2*q - 2*h - b. What is the remainder when q is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 494437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -15*b + 13712. Find the common denominator of -25\/88 and 26\/(-117) + b\/(-144).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(12\/(-3) + 2). Suppose 89 - 69 = n*f. Solve -3*o - 22 + f = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a + 2*n = -20, -2*a + 24 = -4*n. Solve a*d + 37 = -5*l, 3*d + 19 = 2*l - 4*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 506\/3 + -169. Sort 0.08, -0.8, o, -0.2 in descending order.\nAnswer: 0.08, -0.2, o, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -38*k - 29. Let h(v) = -19*v - 14. Let f = 58 + -67. Let j(y) = f*h(y) + 4*o(y). Let p be j(2). Which is bigger: 49 or p?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -16*n**2 - 1894*n - 2506. Determine u(-117).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*t**4 - 2*t - 425*t**3 + 84*t**2 + 1270*t**3 - 432*t**3 - 418*t**3 to b + j*t**2 + w*t**3 + l*t + g*t**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/2 of a decade?\nAnswer: 3420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280239 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 a when four letters picked without replacement from axxxlxaax?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.5 - 1.5. Let t = j - 3. Let h = 4 - t. Which is the third biggest value? (a) h (b) 0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (152 - 150 - 740)*(4 + 1 - 3)*((y + 1 - 1)*(4 + 3 - 3) + y + 2*y - y) to h*y + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 83?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -3*x + 2*o + 2*o, 0 = -3*x - 5*o + 142. Let d be 4\/(-22) + (-168)\/x. Let b(m) = -3*m - 2. Let r(u) = 7*u + 4. Calculate d*r(p) - 9*b(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 1815775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - v**2 + 36*v - 27. Let f be s(-7). Solve -2*a = -5*a - f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5304 + 5464. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110110000011111011 (base 2) to base 9\nAnswer: 816310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 44 + -27 + -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-760)\/(-532)*14\/4. Solve 4*y - 3*s = -u - 31, 9 = -y + 2*s for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.0611, 19, 37\/14?\nAnswer: 0.0611","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/4*(0 - -28). Let a = y + -214. What is the lowest common multiple of (5\/(-20))\/(2\/a) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2 + 13638*j - 2052820 = 0.\nAnswer: 154, 6665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -4.376.\nAnswer: 2.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = -0*v. Let f = 11 - v. Solve 2*x = 3*x + f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 529\/3*(-112230)\/(-143405)\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*t + c, -2*c = -2*t - 3*c - 1. Let n = t + 3. Suppose -2*k + n*o = -6*k + 6328, o = -3*k + 4748. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11987, -24125, -36561, -49445, -62927, -77157, -92285?\nAnswer: -108461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2545*b = 145345 - 221841 - 190729 for b.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244268242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8\/13, -1241, -317\/8?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*m - 213 = 159, 3*m = -3*g + 414. Calculate the remainder when g is divided by 51.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183465.\nAnswer: 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 9 = -29. Let x be (63\/(-14))\/((-2)\/4). Let p(i) = -i**2 + 7*i + 5*i**2 - 2 - 10*i**3 + x*i**3. What is p(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/2*4\/(-35). Let v = -4 + -5. Let w = 14 + v. Which is the nearest to -1? (a) w (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/3 + 1352*b**3\/3 - 2*b**2\/3 - 1352*b\/3 = 0.\nAnswer: -676, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 2)*(0 - 4 + 3) + 2 - 2 - 6)*(0*k - 5*k + k)*(4*k - 2 + 2).\nAnswer: 80*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*w - 5. Let i be ((-24)\/w)\/((-6)\/(-80)). What is the greatest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from uiiiiiuiiii.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0.9 (c) 2\/95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 221?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/95? (a) 4 (b) -0.5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3286 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/13, -12, -3\/7, 6, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -36 - 42. Solve -l - 1 = -2*i, -2*i - 5*l - k + 1 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Express (25 - 31 - 55*v + 56*v - 17*v**2)*((5 - 3 - 1)*(1 + 4 - 3) - 11 + 0 - 1) as z + j*v + b*v**2 and give b.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-250)\/(-8))\/(21*(-9)\/(-2268)). Calculate the greatest common divisor of d and 1950.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -204 (c) -3\/254 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1984371255.\nAnswer: 3, 5, 29, 47, 32353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2191667 and 31\/254845.\nAnswer: 10958335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3909993*k + 3438303 with respect to k.\nAnswer: -3909993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 - 238*l**2 + 941*l - 363. Give h(-123).\nAnswer: 4926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25961.\nAnswer: 13, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + (-98)\/(-70) - 0.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 - 8 = 0. Let w(o) = -o**3 + 6*o**2 - 3*o + 1. Let b be w(4). Let c = b + q. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*c - 14, 5*r - 1 = 4*c + 6*r. Let h be -2 + 7 + (c - -45) + -1. What is the highest common divisor of h and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1353\/5, 5, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 22 - 7. Let f(n) = -n**3 + 6*n**2 + n + 1. Let i be f(6). Is t less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are 228226 and 227539 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -55 - 180. What are the prime factors of q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 25, 4, 40 in ascending order.\nAnswer: 4, 5, 25, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 14 = -2*i + 85, -5*i + 236 = 4*p. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8\/(p*p*p**(3\/5)))\/(p**0*p**(-8)) assuming p is positive.\nAnswer: p**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 156aa68 + 54?\nAnswer: 156ab00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 142 = 6*s + 2*w, 30166*s + 40 = 30168*s - 4*w for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -5 + 3 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*q**3*x + 244*q**3 - x with respect to x.\nAnswer: 17*q**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c - 78. Let k(h) = -33505*h**2. Give g(k(v)).\nAnswer: -67010*v**2 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 7:49 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3, -5, 0.07, 259\/151?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1044*n**2*y**5 + 11*n**2*y**2 - 18*n*y**2 wrt y?\nAnswer: 62640*n**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.30057057 and -0.5.\nAnswer: -3.80057057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 4 + 7398*m**2 + 8*m - 7383*m**2 to y + o*m + s*m**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -31, -24, -17?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3434650 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -8. Let o = -253\/156 + 20\/13. What is the third biggest value in y, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179727736 and 2966?\nAnswer: 2966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 21 - 21)*(1 + 0 - 2 - 4 + 2 + 4 + (-2 - 1 + 2)*(-3 + 1 + 0)) as k + f*g and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26676259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 0, 2*o + 2*a = o - 4. Let s be (-4)\/4*o\/2. Solve -w + y = -s, 9 + 25 = 5*w + 3*y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4384 = 372*t - 2684 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2778*m + 75224 - 12159 = -989*m - 411577 for m.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -816 or -817?\nAnswer: -816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (1 + -21 - (51 + -62))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23373, 32161, 40949?\n\"Answer: 8788*y + 14585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -108*y - 484, 0 = 57*k - 54*k + 120 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvyyvyyvvvvy. Give prob of sequence yy.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = -p + 10*o - 11, p - 4*o + 15 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -615200 = 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 70, 237, 564, 1105?\nAnswer: 1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6) + 3\/6. Suppose 6*o - 2*o - 4*m + 24 = z, 5*m = -3*o + 14. Let i be (2 + o)\/1 - -45. Calculate the greatest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45325.17l?\nAnswer: 45325170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012032 - 3?\nAnswer: -1012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 2 + 53*w - 18*w + (1 + 2 + 0)*(6 + 3*w - 6).\nAnswer: 44*w + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 19 + 29. Let h(c) = -c**2 - 22*c - 7. Is h(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 9*g**2 - 13*g. Let q = 75 + -83. Let i be y(q). Suppose o + 127 + i = 4*f, f - 29 = -4*o. What is the greatest common factor of f and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*a - 663 = -277*a. Let c be (-6)\/(-1 - (-7)\/6). Let m = c + a. Calculate the smallest common multiple of 66 and m.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116172 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 j when four letters picked without replacement from nyjkkjjmjjjjyjjydj.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/7*(-301)\/430*5. Let y(n) = -4*n**3 - 4*n**2 + 3*n - 3. Let s(k) = -3*k**3 - 3*k**2 + 2*k - 2. Give f*y(z) + 3*s(z).\nAnswer: -z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15463 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -338a590 (base 11) to base 8.\nAnswer: -26474022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -510, -599, -702, -813, -926, -1035, -1134?\nAnswer: -1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = u - 32. Let n = u + -45. Find the third derivative of -4*w**2 + 3*w**n + 4*w**2 - 15*w**2 - 12*w**3 wrt w.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**2 + 210*q + 2160 = 0.\nAnswer: -24, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 374\/25 + -7852\/575. Let h = -31777\/19 + 1673. Let u = h - 99\/152. What is the common denominator of u and w?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.33 and -0.167?\nAnswer: 0.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4*-1*sqrt(539))**2 + 2*sqrt(539) + -5 + (-5*1*sqrt(66))\/(sqrt(6) + sqrt(864)*-1)).\nAnswer: -8619 - 159*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 109*p**2 - 24*p + 5. List the prime factors of b(2).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**7\/7 - 11*x**6\/15 - 23*x**5\/15 - 5*x**4\/3 - x**3 - x**2\/3 + 8*x. Determine o so that f(o) = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 52520908 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m**(-1\/3)*m))\/m*m\/(m\/(m\/(m*m**(-45)*m))) assuming m is positive.\nAnswer: m**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -27*s**2 + 23*s - 9*s + 8*s + 28*s**2 + 24. Let w be g(-21). Calculate the common denominator of 37\/2 and (-185)\/(-10) + 1 + w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i - 30. What is the third derivative of 7*z**2 + 32 + 2*z**i - 32 wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560) + (sqrt(560) - (2*sqrt(560) - sqrt(560))*1))\/sqrt(10))\/(4*(sqrt(8) + -1*sqrt(8)*2 - sqrt(8))).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -21.3 not equal to -1053097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248002822?\nAnswer: 2, 1567, 79133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15416)\/574*(-147)\/(-28).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.1 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c - -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 483 and 77?\nAnswer: 5313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k - 4. Let l be 33\/(-15) + 2\/40*4. Let g be y(l). Suppose -g*t = -10602 + 1982. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (9 - 1) + -51 + 49?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*a = -10, 3*h + 2*a = 6*a - 5. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + (-1209)\/(-372) + 110\/72.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 11:48 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h. Suppose 0 = 2*x - 2 - 0. Let o(g) = -19*g + 36. Let d(b) = -60*b + 114. Let p(m) = -6*d(m) + 19*o(m). What is x*r(y) + 12*p(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 281.66004 months?\nAnswer: 0.02347167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21, 61, 209, 531, 1093?\n\"Answer: 11*b**3 - 12*b**2 - b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(2 + (-61)\/31) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6850231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 3560 - 1192 = 0. What is the highest common factor of 66 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -5.7. Suppose 0 = -2*y - 0*q - 3*q - 15, 4*y + 3*q = -15. What is the closest to 2\/5 in h, y, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 1497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.412 to 1 decimal place.\nAnswer: -9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 8:20 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.98 and 104282.\nAnswer: 104295.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 243307 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 70922*n + 851078. Determine d(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 634.76 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -296, -304, -314, -326?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 511 - 514. Let c be 1219\/230 - 6\/20. Put c, u, 6, -9 in decreasing order.\nAnswer: 6, c, u, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 23*z**3 + 3 + 4 - 19*z**3.\nAnswer: 4*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (7 + (-3 - -4))*10\/(-20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.2, -46, -150023 in descending order.\nAnswer: 0.2, -0.2, -46, -150023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256070150?\nAnswer: 2, 5, 7, 17, 43037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133234 + 26646887\/200. Find the common denominator of -81\/200 and b.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u - 62*u**2 - 7*u + 239*u**2 + 3*u. Let t(b) = -3*b. What is t(j(o))?\nAnswer: -531*o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(-4*43\/10836).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 17*d + 26. Let j be i(-18). Factor 7*n**4 - j*n**3 + n**4 - 4*n**2 - 1 + 10*n + 273*n**5 - 275*n**5 - 3.\nAnswer: -2*(n - 2)*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*a**2 + 655*a + 60.\nAnswer: -5*(a - 12)*(11*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c + 24 = 4*v, -42 = -5*c - v. Let k(j) = -181 - 9*j**2 + 2*j**3 + 190 - c*j + j**3. Does 22 divide k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 98*b**3 + 2*b**2 + 9*b + 1. Let q(n) = -10*n + 1967 - 2*n**2 - 31*n**3 - 68*n**3 - 1969. Let w(j) = 7*f(j) + 6*q(j). Is w(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 + 36 = -6*j. Solve 4*r + j = -2*s, -6 = -2*s + r - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 1. Let d be k(4). Let b = -1 + d. Suppose -b*j = -3*x + j + 27, 0 = 3*x - 3*j - 33. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 + 0.7. Let x = 2.6 - z. Which is the biggest value? (a) 6 (b) 2\/11 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**3 - 14*t**2 + 33*t + 1388. Calculate u(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-4\/3)*g)\/(g**12*g)*(g\/(g\/(g**14*g)*g)*g)\/g**8 assuming g is positive.\nAnswer: g**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 2*v**2 - 2*v + 5. Let j be n(0). Suppose -3*w = -6*w - j*s - 641, -w - 216 = 4*s. Let m = w + 309. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 559513.\nAnswer: -559513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2704500 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000039161 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/48*(-184)\/(-23)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -2*a + 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x. Does x = -4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 40 - (30 - 33)) + (53 - 46).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2. Suppose -f + 2*t + 4 = 0, -2*t = 4*f - 0*f + 4. Suppose -6*h + 2*h = -8. Let v(r) = f*r + h*r + 0*r. Give i(v(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 10*n + 11. Let z be f(8). Let u = -3 - z. Let i be (-2)\/1*(-3)\/2. Sort u, -5, i in descending order.\nAnswer: i, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.86010459 to two decimal places.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 439*f - 62*f**2 - 439*f + (-f + 0 + 0)*(-f - f + 0*f) to d*f + x*f**2 + h and give x.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o + 16. Let y = -2 - o. Suppose -y*c + 4*u = -10, 2*c = -2*c - u + 11. Calculate the smallest common multiple of c and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xss when three letters picked without replacement from {y: 3, x: 7, s: 3}.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174996*y - 171 = 3*f - 174992*y, 285 = -5*f + 10*y for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1632 and 6834.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10489 is divided by 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g**2\/3 + 382183*g\/3 + 54598 = 0 for g.\nAnswer: -3\/7, 54598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2201 and 1469061?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Round 53542.5 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h + 66. Suppose o + o = 0. Let k be o\/(-4) - 3 - -3. What are the prime factors of m(k)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from xwkwefehh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*z = -0*z, -4*z + 18 = -v. Let i = v + 3. Let t(x) = -x**2 - 8*x - 3. Let r be t(i). Solve r = -3*u + p, 2*u = 3*p + p - 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1 + 2*r - 7 + 4*r. List the prime factors of b(9).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 346483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-4) - 458160\/96. Find the common denominator of 173\/42 and (-2)\/(-20)*w\/504.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-12)*(-1)\/14)\/(6\/28).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 276\/13, 3, 4, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*u - 87. Let d be (-273)\/(-9) + (-2)\/6. Calculate the highest common divisor of d and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, l: 3, m: 4}. Give prob of sequence rrl.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**2 + 4*s + 5. Let a(u) = 5*u**2 - 3*u - 4. Suppose -4*v + 26 = 74. Let k be ((-15)\/18)\/(-2*(-1)\/v). Let c(n) = k*a(n) + 4*j(n). Factor c(f).\nAnswer: f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/(-15) - 6\/30. Suppose -7*p + w*k + 46785 = -3*p, 2*k = 4*p - 46790. What is p rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101431 times 1\nAnswer: 101431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 56*h - 2802. Give x(50).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14657811 and -217.17876?\nAnswer: 14657593.82124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*b**3 + 2327*a*z**2 - 1896*b**3 - b*z**2 - z**2 wrt a.\nAnswer: -3*b**3 + 2327*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -1)\/(5\/(-15)). Let g = -30 - -35. Suppose -4*t + g*t = -1. Which is the second smallest value? (a) t (b) p (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -68 - 14*x**2 - 16*x**2 + 87 + x**3 + 30*x. What is the units digit of z(29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1 (b) -5\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 925009149?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3028, 6048, 9070, 12094?\n\"Answer: q**2 + 3017*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -2. Factor -11*g - 5*g**2 - 9*g + c + 18 + 5*g.\nAnswer: -5*(g - 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/1433567 and 63\/8.\nAnswer: 11468536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/5 (b) 5 (c) -34 (d) 451 (e) 0.3 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**5\/20 - 19*y**3\/6 + 69*y**2\/2 - 31*y - 1. Differentiate j(h) with respect to h.\nAnswer: -3*h**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, o: 2}. What is prob of picking 2 e?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 268083 and 536166?\nAnswer: 536166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 135\/10*2\/(-11). Let n = -265\/99 - q. Let c be (-4)\/6*6\/8. What is the third biggest value in 2, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 61 = 29*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113 + -113.49. Let s = z + -0.51. Which is the fourth smallest value? (a) s (b) 1 (c) 0 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + 4 + 1 + q**2 + 2*q**3 - 2 - 3*q**3 - 10*q as c + z*q + v*q**3 + g*q**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142 - -144. Let r be (-1 + 0)\/(2\/(-4)). Suppose -6 = r*x - 14. What is the highest common divisor of x and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 1 - 1)*(-2*n**2 + n - n) + 2 + 0*n**3 - 1 - 2*n**3 to w*n**2 + d*n + h + j*n**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -359*c*p**2 - c*p + 2*p**2 - 95 with respect to c.\nAnswer: -359*p**2 - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104255128?\nAnswer: 2, 19, 41, 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-416)\/68 - (8 - (21 + -7)). Let y = -5 + 4.9. Which is the nearest to v? (a) y (b) 2 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000000111000111001100111001 - -11?\nAnswer: 11000000111000111001100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8595*k + 103133. What is f(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124.6 + -124.5. What is the closest to -1\/5 in -1\/12, 4, p, -60?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57995718 at most 637952914\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 39?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 478, 2025, 4580, 8125, 12642?\n\"Answer: -3*m**3 + 522*m**2 + 2*m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**3\/3 - 3*c**2 - 21*c - 36. Let z be b(8). What is the remainder when -1*(4 + z + -25) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-75)\/5380) + (-2)\/10. Calculate the greatest common divisor of q and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/(376\/(-235))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -10*s - 1. Let w be ((-2 - -1) + 1)*-1. Let g be 1*(-3 + w) + 2. Is c(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83799187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -640 by 15.\nAnswer: -128\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 102478\nAnswer: -1\/102478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3085*b = 58689 + 27691 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from {n: 2, s: 1, j: 1, p: 1, e: 1, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 18 + 67*j**3 + 17*j**2 + 13*j**3 - 145*j**3 + 3*j**2 + 64*j**3 as q + k*j + t*j**2 + v*j**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -1. Let o = -8 - -2. Let g = 4 + o. What is the third smallest value in g, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14) - 8\/28. Suppose m*t = -2*t + 46. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6300\/19, 5, -4.\nAnswer: -4, 5, 6300\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227256.\nAnswer: 2, 3, 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409569 is divided by 1379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6158 - 4223. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1912 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145\/180 + (-736)\/(-1656).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*h + 8*h + 37*h)*(-59*h + 2 + 5 - 7) to the form y*h + t + f*h**2 and give f.\nAnswer: -1357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1050853, -1050855, -1050859, -1050865?\n\"Answer: -v**2 + v - 1050853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3.5. Let m = 2\/46817 + -52903216\/140451. Let n = m - -377. What is the nearest to n in -0.2, w, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2782299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2, 1\/81, -0.3, 2.9 in descending order.\nAnswer: 2.9, 2, 1\/81, -0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from euutussqkukq. What is prob of picking 1 u, 1 k, 1 e, and 1 s?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8295 + -66443\/8. Let k = 58 + -29. Let h = k - 13. Find the common denominator of t and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.5 + 3.5. Let w = 15.1 - o. What is the closest to -1\/2 in 5, w, 4\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4266888 and 1128?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((1 - -1)*1)\/(-1). Let s = -178.5 - -180.5. What is the smallest value in s, 4\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 329*i**2 - 2 + 8 + 413*i**2 + 990*i**2 - 1 to the form w*i**2 + u + k*i and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 571 - 537. Suppose 6 = -5*a - 3*t, -29*t = -4*a - l*t - 10. Solve -4*n + 6*n - 6 = a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by -246485\nAnswer: 43\/246485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y**(-2\/7)*y)*y))**(-2)*(y\/(y\/(y*y*y**(1\/3)*y)*y))**(-19) assuming y is positive.\nAnswer: y**(-961\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6210823967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 4:57 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from cgyeygqgezge?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1313, -2097, -2883, -3671?\n\"Answer: -d**2 - 781*d - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 c when three letters picked without replacement from {c: 3, u: 15}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-3*f + 4*f - 4*f)*(-5*f + f**2 + 5*f)*(17*f - 4*f + 6*f).\nAnswer: -114*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let i be l\/(-5) - 4\/(-10). Let t = -0.04 - 0.96. Which is the nearest to i? (a) t (b) -0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.9 + -8. Let f = -0.8 + -1.6. Let q = i + f. Which is the second biggest value? (a) q (b) -3 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b169a + 0?\nAnswer: -b169a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/((-20)\/3))\/((-14892)\/365) + 0. Let c be (-2 - -4 - 3) + 2. Is c at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*o**2 - 114*o**2 + o + 4*o - 6*o.\nAnswer: -364*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 51 = -4*z - 5*w, -46 = -2*z - 4*w. Let a = -12 + z. What is the third derivative of x**6 - 2*x**2 + 2*x**6 + a*x**2 + 0*x**6 wrt x?\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -11 - 1. Find the third derivative of 2*v**2 - 4*v**2 + 3*v**l - 4*v**3 wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-1)\/(-10))\/(432\/(-360))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 2\/29, 0.2, 36, 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 k, and 1 i when three letters picked without replacement from {i: 1, c: 1, n: 3, a: 6, k: 1, w: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-8))\/(5\/(-40)). Let s be (32\/x)\/((-3)\/(-15)). Solve 0 = -2*y - 2*y + s, 4*t = y - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693 smaller than 2700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/5101888 and 73\/220.\nAnswer: 25509440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 299.1031 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3192798000 to the nearest 1000000.\nAnswer: 3193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -132 - -134. Let f be 4\/40 + (-58)\/(-20). Suppose -2*w + 38 = 3*x, -f*w + 67 = -0*x + a*x. Calculate the remainder when 99 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:07 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2996 + -3626.3. Round v to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5 + 10*b - 22*b + 5*b + 0. Suppose 10 = -2*h - 0*s - 5*s, 0 = -2*h - 4*s - 10. Is 16 a factor of w(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56822 (base 10) to base 4\nAnswer: 31313312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -163361 (base 8) to base 16.\nAnswer: -e6f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 14. Let h be o(-10). Let g = -36763 + 36712. What is the smallest value in h, 3\/8, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 2*j - 49 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 16 = 5*o, 0*s + 18 = 2*s + 4*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**4\/12 - 11*d**3\/6 + 9*d**2. Let f(n) = n - 1. Determine -5*f(y) + m(y).\nAnswer: -3*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/42? (a) -1 (b) -10 (c) 1 (d) -4.3 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -3.6. Let k = l - -13.1. Let m = k + -12. Put 0.3, 5, m in descending order.\nAnswer: 5, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4658\/15 <= -311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 98 or 1357\/14?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44088333029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(8) - sqrt(8)*-1) - sqrt(33)\/sqrt(176))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4\/7, 2\/3, -2\/3, -222, -0.1 in decreasing order.\nAnswer: 2, 2\/3, -0.1, -4\/7, -2\/3, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 15, 1\/3, -0.3, 2466, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 105075 divided by 21015\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -28*a + 5. Let h(r) = 14*r - 3. Give 3*c(i) + 5*h(i).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 884.7 + -255364.7\nAnswer: -254480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 19*m - 4*m**3 + 5*m**2 - 4*m**2 - 21*m - 3. What is the remainder when n(-2) is divided by (-2)\/1 + 72\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744530 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 + 21000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykobdkdkkhho. Give prob of picking 1 b and 1 d.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of ((-24)\/(18 - 12))\/(2\/(-366))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-919 + 919 + 38*d**2 + d**2 - d**2 - 2*d**2 + (d**2 + 3*d**2 - 3*d**2)*(0 + 0 + 3))*(-1 + 0 + 3).\nAnswer: 78*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3\/5 + 551*d**2\/5 + 401*d\/5 - 274.\nAnswer: (d + 2)*(d + 137)*(4*d - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, -4, 7.1, 0.3?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 5*g + 5*r - 43 = 0, 2*r = -2*g + 22. Let f be ((-4)\/(-6))\/(g\/(-594000)). Round f to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -2)\/3 - (123 - 128). Solve 5*m = -2*c + 17, 5*m - 8 - 2 = g*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - ((-1 - 11) + (-222 - -232))) + -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/26, -5, -64, -3\/2, -1\/29, -2 in decreasing order.\nAnswer: 7\/26, -1\/29, -3\/2, -2, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*u, 4*u + u = 3*i. Let v = 13.706 - 18.706. What is the nearest to -3\/13 in -4, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6012 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 + 2 = 0. Suppose t = -4*t - 2*h - 100999996, -d*h - 20199992 = t. What is t rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((7 - 10) + 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 3*d = -40, 0 = -5*p - 7*d + 3*d + 45 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6579385*l**6 + 12174379*l**2 wrt l?\nAnswer: 789526200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 129 + (-8 - 58) + -36\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**47\/b))**(-7\/4)\/(b*b**8*b**31) assuming b is positive.\nAnswer: b**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -60447166?\nAnswer: -60447172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5842*t - 29234. What is q(5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 60. What is the remainder when 86 is divided by g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8302 and 5.643434.\nAnswer: 8307.643434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/(-21))\/(3\/9). Put -2\/7, -0.5, 0.2, u in decreasing order.\nAnswer: 0.2, -2\/7, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k - 3*k - 2*k)*(-2 + k + 2)*(-4 + 6 - 1)*(4 - 2*k**3 - 4).\nAnswer: 22*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6. Let v(g) = g + 13. Let z(y) = 5*d(y) - 2*v(y). Calculate z(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 1. Let y(f) = -45*f - 8. What is 2*p(s) - y(s)?\nAnswer: 49*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 0*z + 3 - 4 + 2*z. Let d(p) = p**2 + 10*p - 8. Let t be d(-11). Give c(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 29*h - 30*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.06 (b) -81 (c) -10 (d) 2\/5 (e) 0.021\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 792*n**3 + 5*n**2 + n - 1. What is the tens digit of i(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(130)\/sqrt(160).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125203 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 3 - (11 + -13). What is the remainder when ((-286)\/(-4))\/(h\/12) is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -107 - -7?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z + 15. Let t = -34 + 90. Calculate the highest common divisor of t and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318477 is divided by 263695.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.6 - -9.99. Let m = d - -0.11. Put -0.1, 2\/3, m in increasing order.\nAnswer: -0.1, m, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 2*r**2 - 2*r - 4. Let p be h(0). Put 4, p, 76 in decreasing order.\nAnswer: 76, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13872 is divided by 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hff when three letters picked without replacement from {f: 3, r: 5, h: 8}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3*p = 5*p + 2, -5*p - 5 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 260307116 a multiple of 2361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42576 = 3*g + 4*v, g - 66*v = -61*v + 14211. Round g to the nearest one hundred.\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -2*u + 2, -4*x - 23*u + 15 = -34*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 627*o + 16*o - 679*o + 17*o + 7*o + 11*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (47 - 79 - -20).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -8. Suppose v = -z*m - 12, -2*v + v = -2*m - 4. Put m, 5, 2 in descending order.\nAnswer: 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l\/(l*l*l\/(l\/(l*l**(3\/2)))))*l)\/((l**(11\/5)*l)\/l))\/((l*l**(-1\/5))\/(l\/(l\/(l**2*l)))) assuming l is positive.\nAnswer: l**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 6. Let u = 2830 + -2826. What is the second smallest value in w, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152767 (base 9) in base 13?\nAnswer: 339b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 2:26 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(54)\/(sqrt(18)\/sqrt(6)) + (-3*sqrt(198) + sqrt(198))\/sqrt(11))\/(((sqrt(660)*1 + sqrt(660))\/sqrt(11))\/(-1*sqrt(90))).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -50*x**2 - 2*x. Let r(d) = 8209*d - 8209*d + d**2 + d**2. Give r(q(g)).\nAnswer: 5000*g**4 + 400*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12019529 to the nearest integer?\nAnswer: 3467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:58 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1266516 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 = k, -2*z + z = -3. Suppose -k - 1 = -3*h, -2*b - h + 7 = 0. Suppose 4*j - b = 7. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398927719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45380784 is divided by 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478809 is divided by 913?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -73?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77 in 0, 4, 2\/19, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.13952 and -0.4?\nAnswer: 0.26048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04203 and 323.\nAnswer: 13.57569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -30, -46?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/8*318*-1. Find the common denominator of (4\/(-40))\/(2\/196) and (s\/(-4))\/((-3)\/(-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 17. Let j = -15 + 22. Suppose i - 5*r - 13 = -40, -r + j = -i. Sort i, 2, x.\nAnswer: x, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2038280 equal to -2038278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + a + a)*(-173 + 33 - 33)*(4*a**2 - 4*a**2 + 2*a + 2*a**3).\nAnswer: 692*a**4 + 692*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/17 - 556464*r\/17 - 38706522912\/17.\nAnswer: -2*(r + 139116)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -u - u. Suppose 25*h - 5 + 30 = 0. Let g be (-132)\/693*h*1*3. What is the third biggest value in 1\/5, g, u, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**6\/20 - c**5\/6 + 13*c**4\/72 - c**3\/18 + 3*c - 14. Find d such that j(d) = 0.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (-1)\/((-1)\/2). Let a(r) = -5*r + 48. Let k be a(9). Let s be (-16)\/(-3) - k\/9. Solve s*u + v = 6*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2129?\nAnswer: 3\/2129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 32 = -28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 270209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, l: 1, y: 1, k: 1, u: 2, w: 1}. Give prob of sequence llj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 2*y - 3. Let s be (-340)\/(-14) - (-8)\/(-28). Let x be ((-6)\/4)\/((-4)\/s). Let h = x + -13. What is r(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/2 + 8\/2. Suppose 3*c + 3 = -3*w - 6, 5*w = 5*c - 15. Which is bigger: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 4*h + 18 = 0. Suppose 19 = 2*m - 5*a, 3*m - h - 9 = -3*a. Suppose -m*u + 242 = 88. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1723 - -1722.9. What is the third biggest value in -12, q, -37\/4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (42 + 22 - 51).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -10.7, 307, 2\/13, -1\/10, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6025*t**3 + 2*t + 11694*t**3 - 2*t - 5869*t**3.\nAnswer: -200*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*m - 3 - 27 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3 = -24. Let x(z) = 490*z - 1479. Let f be x(3). Is f not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**2 - 2795*g = 0.\nAnswer: -559, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 608580087 a multiple of 317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 550 + 746 = 0. Let d = 1514\/7 + l. Which is the nearest to d? (a) 5 (b) 4 (c) -0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**5\/20 - s**4\/6 - s**3\/3 - s**2 + s. Suppose 18 = -5*v + 33. What is h(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j - 3*j - 2*j + 0*j - 3*j + 4*j + (0*j - 2*j + 3*j)*(6 - 3 - 2) - 4*j + 4*j + j as x + k*j and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 - 69 + 50 + c to the form g*c + l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 43*b - 48*b - 15, -4*b + q = -13. Let t(f) = -3*f**2 + 6*f - 6. Calculate t(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 - 2. Let w = 20035.1 + -20035. What is the closest to w in 5, s, 1.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.65 + -0.35. Let p = -145 + 140. Which is the second biggest value? (a) p (b) r (c) -0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 7 - 7 + (3*i - 3*i - 2*i - 1)*(2 - 5 + 2))*(-4797*i - 342 + 2398*i + 2401*i).\nAnswer: 6*i**2 - 1024*i - 342","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 741 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*t + 9 = 0, -3*t = 4*k - t - 8. Let j = 6 + -4. Which is the third biggest value? (a) j (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*i + 1. Let s(d) = -8*d. Let g be s(i). Let f = 573 - 565. Calculate the highest common divisor of g and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14\/9 (b) -2\/137 (c) 45980\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-3 - m + 3)*(6 - 66 + 15).\nAnswer: 90*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -344 + (2 + -1 - 0). Let x = j + 871. Let k = -4219\/8 + x. Find the common denominator of -65\/4 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74.728 - -23.77. Let u = n - -51. What is u rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 6:52 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3232 and 736.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**3 + 9*o**2 + 16*o**2 - 25*o**2.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/5 + 2995176*z\/5 + 68891164\/5.\nAnswer: -4*(z - 748817)*(z + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**(-1\/88)\/(x**(-1))**(-49))**(2\/51) assuming x is positive.\nAnswer: x**(-17249\/8976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 215 + -1?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppbr when four letters picked without replacement from {r: 3, t: 2, p: 4, a: 1, b: 2, y: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1881\/54 + -35)\/(6\/20)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/4)\/(-1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -27*u + 96. Let b(p) be the second derivative of 1\/6*p**u - p**2 - 8*p + 0. What is b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 60e65 + -21?\nAnswer: 60e44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -1\/33, -1179, 3?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*n - 80*n + 99*n)*(2 - 3 - 4)*(2 + 2*n - 2) as v*n + x + o*n**2 and give o.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*i, 6*a - 5*i + 18 = 10*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*t**5 + 100*t**4\/3 - 8*t**3.\nAnswer: 4*t**3*(t + 3)*(9*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/2 - q**3\/3 + q. Let d be o(-3). Let p be 102\/4 + 48\/(-32). What is the highest common divisor of p and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 - -74 - (21 + -2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2 + (4 - 10 + 3)*(-4 + 3 - 1))*(c**5 - 2*c**5 - c**5).\nAnswer: -16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -26497*d + 802. Let s be h(66). Round s to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 9 = 1. Suppose -2*s = q*s - 476. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + -72. Sort 3, -1, -5, t in decreasing order.\nAnswer: 3, -1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o - 3*o)*(5*o + 0*o - o) + 3*o**2 - 6*o**2 - 4*o**2.\nAnswer: -23*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - v - 104 + 83 = 0, -2 = 3*o - 2*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16635 and 1062000?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g + 2 - 7*g + 7 - 9. Let i(t) = 66*t**2. Give p(i(u)).\nAnswer: -66*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 807*q**2 + 806*q**2 - 1238*q**2 - 389*q**2.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -129 (b) 2\/3 (c) -0.5 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**11*n*n\/n**7)\/(n\/n**6*n**12) assuming n is positive.\nAnswer: 1\/n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**2 + 7 - 11 + 5. Let n be 1\/(8 - 78\/10) + -3. Give s(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 0*p)*(0 - 2 + 0) - 1 + 2*p + 1 + 0*p + 2 - 4 - 3*p.\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*h - 2)*(-3*h + 3*h - h) + (3 - 3 - h)*(0*h + 2*h + 0*h) + 2*h - 2*h + h**2 - h**2 - h**2 - 4*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2279, 1\/31, -8 in descending order.\nAnswer: 2279, 1\/31, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 436 (base 12) to base 10\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - (-10 + 23 + (-19 + 11 - 5))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b. Let l(c) = -87959197*c**2. What is l(w(n))?\nAnswer: -791632773*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 19*i**2 + 2*i + 21. Let s be h(-5). Suppose -5*k + w + 3*w + s = 0, 4*k - 5*w - 396 = 0. What are the prime factors of k?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17438 + 4791 - 70345 = 741*u for u.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 12958 in descending order.\nAnswer: 12958, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 0*x + 9*x - 3*x - 7*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*m = -224 + 1991 - 279 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 5*u**2 + 6*u - 1. Let i be c(4). Let b = i + -7. Suppose -3*g + l + 13 = b, -3*l + 8 = l. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**3 - 22*m + 7*m**2 + 48*m - 27*m to z*m**3 + u*m + x + n*m**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -1\/7 (c) -4\/5 (d) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18772.55 greater than or equal to 0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 374*x**3 - 11*x**2 - 16*x. Let j(a) = -75*a**3 + 2*a**2 + 3*a. Calculate -11*j(g) - 2*w(g).\nAnswer: 77*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51379*z - 354*z**4 - 51379*z + (3*z + z - 3*z)*(-3*z**3 + 4*z**3 + 0*z**3).\nAnswer: -353*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179994 by -393.\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 e, and 1 w when three letters picked without replacement from esssgwsmsps.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 1. Let i(o) = o**2 - 22*o + 22. Let r(j) = -i(j) - 6*p(j). Let v be r(14). Solve 0 - 6\/11*h**3 + 4\/11*h**2 + v*h = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - ((-26)\/2 - 2). Is (2 + 18)*o\/8 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t. Let d(y) be the second derivative of -66*y - 25\/6*y**3 + 0 + 0*y**2. Determine d(v(m)).\nAnswer: -150*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1464 - 28 = -746*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -1\/4, 1\/6, 0.3 in descending order.\nAnswer: 0.3, 1\/6, -1\/4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.616 and 656 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 7*q - 2)*(-7 + 3 + 2) + 3*q - 5*q + q + 6*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44651 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-504)\/(-7))\/12*(-9)\/(189\/(-49))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1928 = -5*f, k + 2*f = -0*k + 1922. Let b(w) = -k - 37*w + 1918. Let l(s) = s. Calculate b(l(p)).\nAnswer: -37*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b - 15. Let f be a(-5). Suppose -16 = -4*s + f. Let v be 4\/14 - (-38)\/s. Solve 0 = -v*t - 0*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.77 + 2.98. Let w = m - 0.61. Let r = 0.04 - 2.04. Sort 0.1, 0.5, r, w in descending order.\nAnswer: 0.5, 0.1, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t**2 - t**3 + 4*t**2)*(0 - 6 - 2)*(-2 + 1 + 2)*(-2 + 0 + 0) in the form l*t**2 + i + k*t + c*t**3 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -93*b**2 - 67. What is the hundreds digit of i(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -5*g + 24, 3*g = 2*m - 631 + 655 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 3:10 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*51 + (-6 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8733)\/(-639) - 7*2) + 44\/(-3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 18*v**2 + 10*v + 13. Let g = 59 + -76. Is 15 a factor of l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15071 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 150524*d - 5116683. Calculate f(34).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 - 25*q + 25*q + (q**2 - q**2 - q**2)*(2 - 2 + q) + 1 - 1 + 3*q**3 + 4*q**3 - 4*q**3 + 2*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -16. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -477502, -954995, -1432482, -1909963, -2387438, -2864907, -3342370?\n\"Answer: 3*j**2 - 477502*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.96 + 0.04. Let k = d + -17.3. Let s = -2836\/9877 + 2\/1411. Which is the second smallest value? (a) s (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -133 + 270 - 3*n**2 - 136 - 4*n. Let r(j) = 4*j**2 + 4*j - 2. Determine -2*r(y) - 3*s(y).\nAnswer: y**2 + 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104*c**2 - 320*c**2 + 1764*c**2)*(0*c**3 + 4*c**3 - 2*c**3).\nAnswer: 2680*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246542994 and 11.\nAnswer: 2711972934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**4\/4 - 12465*z**3\/4 - 35*z**2\/4 + 87285*z\/4 - 37395\/2 = 0. What is z?\nAnswer: -3, 1, 2, 2493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**4 - j**3 - j**2 - j - 1. Let q = -2 + -2. Let i(p) = -3*p**4 - 3*p**3 - 5*p**2 - 5*p - 4. Let h(l) = q*r(l) + i(l). Factor h(k).\nAnswer: k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -9*k**3 - k + 2. Let f be i(2). Let r = 104 + f. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, u: 6, v: 3, m: 2, y: 1}. Give prob of picking 1 y, 1 u, 1 m, and 1 v.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 470360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 115, 254, 459, 736?\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/3 + 134*k**2\/9 + 284*k\/9 + 80\/9.\nAnswer: 2*(k + 2)*(k + 20)*(3*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16 = c. Let y be (14\/c)\/(2\/4). Let l(z) = -31*z + 101. Let f be l(3). Solve 0 = 5*x - 4*q + f, q = 3*x + y + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1917 and 699137.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**5\/20 - p**4\/12 + p**3\/6 + p**2\/2 + 56*p. Let b(y) = -10*y**3 - 8*y**2 + 10*y + 8. Calculate -b(k) + 8*w(k).\nAnswer: 2*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/3 + -1)*3 - 1. Solve -a + g - 7 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:14 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 282*v**2 + 198*v**2 - 354*v**2.\nAnswer: 126*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/32, 0, 3\/7, 4\/9, 88?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5898 - 292242. Suppose -5*j = d + 45580. Let h = 1008 - j. What is h rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -13. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**31*h))\/h*h*(h*h*h**(-4\/3)*h*h)\/h)**(-45) assuming h is positive.\nAnswer: h**(-1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16868 is divided by 1504?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -396 - 129. Let p = h - -529. Solve 3*l = 9, p*d - 3 = d + 2*l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18501 and 35007?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, 0.522, -78?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 546248\/3 bigger than 182083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -5. Let n be 340\/(-70) - (-5)\/1. Put n, d, -3\/2 in ascending order.\nAnswer: d, -3\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6*z - 884 = 0. Let o = -2677\/3 + z. Let j = -185\/33 - o. Calculate the common denominator of 39\/7 and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 3, p: 1, m: 2}. What is prob of picking 1 p and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297, 294, 289, 282?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 109?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9213, -9211, -9207, -9201, -9193, -9183?\nAnswer: -9171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 8:17 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2.1. Let l = 10 - 8. Put l, x, 0.2 in descending order.\nAnswer: l, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or -0.95263?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + -42 + 22 - -22. Solve -3*m + 4*h + 1 + 28 = b, -2*h = 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*t**2 + 215*t**2 - 542*t**3 - 2*t + 214*t**2 - 650*t**2 + 7*t.\nAnswer: -542*t**3 + 2*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5365728 divided by 6.\nAnswer: 894288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1662269 (base 10) to base 13.\nAnswer: -4627bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10427, -10350, -10233, -10082, -9903?\nAnswer: -9702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - 0.3. Suppose 0*j - 5*j = -45. Suppose -21 + j = y - 5*f, 24 = 3*y + 5*f. Which is the closest to 0? (a) u (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and 0.0365814403226.\nAnswer: 6.0365814403226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140 - -233. Suppose 95*y = f*y + 22. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10.905716 and 0.4.\nAnswer: 11.305716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1234 = -18*f - 1126 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r**4 + 3*r)*(25 - 78 - 26 - 54).\nAnswer: -133*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138701\/5260 - 5\/263. Let b = q - 113\/5. Factor -3\/2*u - b*u**2 - 3\/4*u**4 + 0 - 3*u**3.\nAnswer: -3*u*(u + 1)**2*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24592785.\nAnswer: 3, 5, 7, 234217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 248.0828668 + 64348?\nAnswer: 64596.0828668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4266 = 2*a, 673 = i + 2*a - 185. What are the prime factors of i?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 84 = -3*s, 2*j - 3*j + 44 = -2*s. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 14. Let x be d(7). Suppose 4*y = 5*m - 199, -y = -x - 4. What is the common denominator of m and 16\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/5*(-80)\/(-48). Suppose 0 = s - 15 - 21. Suppose -a*q = -8 - s. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 4*g - 3. Let s be r(3). Suppose 5*m - 12 = 7*m. Do s and m have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 less than -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*f + 7. Suppose -103 = 6*v - 1027. Let c = v + -151. Solve 5*s = 5, -f*s = c*o - 8*s + 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 17*q = 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = -0. Let m be 2\/(-3) + 136\/(-3). Let x be (-1)\/(14\/m) - 3. Which is the third smallest value? (a) 1\/2 (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + y + 7 = w, w - 1 = -2*y. Let j be w\/(-30) + (-1)\/(-2). Let i be (20\/(-7) - 0) + 3. Which is the smallest value? (a) i (b) j (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1105185451?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 17340000 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/126)\/(10\/14) + (-16)\/40?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 60*i + 1261. What is g(-42)?\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179 - 532\/3. Let a = 18 + -18.38. Let r = a + -2.62. Put j, 2\/13, r in increasing order.\nAnswer: r, 2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 times -89107.1\nAnswer: -2940534.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 644506 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2 - 14*c + 3*c**2 + 0*c**2 - 5*c**2 wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 485*z + 6967 - 6967 in the form n + s*z and give s.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1028876056?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 28*b**3 - 2*b**2 - 2*b + 2. Let k be 144\/64*(-8)\/6. Let g(z) = -27*z**3 + 3*z**2 + 3*z - 3. What is k*q(m) - 2*g(m)?\nAnswer: -30*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 7:37 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7599\/4 - -1890. Calculate the common denominator of h and -7 - (-119)\/1275*(214\/4 - 4).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8630713 minutes to microseconds.\nAnswer: 51784278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-12)*i*i*i\/(i**(-2\/9)\/i)*(i**(3\/10)*i*i)**(-3\/20) assuming i is positive.\nAnswer: i**(-14621\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-65)\/(-4))\/((-4)\/(-128)). Suppose -3*l + 8*l - 2692 = 2*g, -l + 5*g + x = 0. What is l rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 346*k. Let z(o) = -6*o - 4. Let x(v) = -v**2 - 3*v + 14. Let d be x(2). Let t(h) = 2*h + 1. Let w(j) = d*t(j) + z(j). What is a(w(q))?\nAnswer: 692*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*y + 165 = 50, -3*y - 84 = -0*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -5. Let f(w) = 26 - 24 + 3*w**2 + 2*w - w**3 + 0*w**3. Does 8 divide f(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 655333857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0945*2\nAnswer: -0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**5 + 5*j**5 - 2*j**5 + (j + 2*j**4 - j)*(-3*j + 2*j + 4*j).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - m + 7)*(-8*m**2 + 10*m**2 + 0*m**2 + 95*m**4).\nAnswer: -95*m**5 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Suppose x + 2 = -p. Let z(b) = -399999*b**2 + 3*b + 2. Let y be z(x). What is y rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*d**2 - 696 + 348 + 53*d**2 + 348.\nAnswer: -138*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 20*s - 5. Let j be w(-20). What is the second biggest value in 0.1, -6, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 0, -1\/4, 1\/5, 1\/2 in decreasing order.\nAnswer: 1\/2, 1\/5, 0, -1\/4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 912651043?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/13 (b) 6 (c) 0.0693 (d) 31 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 10883764227291.\nAnswer: 10883764227286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 29.\nAnswer: 2.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w + 3060. Let y(k) = 5*k. What is l(y(z))?\nAnswer: 20*z + 3060","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**2 + 0*i**3 - 8 + 4*i - 11\/12*i**4. Let c(q) be the first derivative of g(q). Find the first derivative of c(s) wrt s.\nAnswer: -22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*z - 3*w - 10 = -169*z, -3*w - 25 = -5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (((sqrt(320) + 0)*6 + sqrt(320) - ((2 + sqrt(320))*-6 + sqrt(320)))*-5)**2 + -3 + 4)*3.\nAnswer: 172800*sqrt(5) + 3466812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.3 + 3.446. Let h = d - -0.054. Let p = 0.06 - -3.94. What is the second smallest value in h, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -375\/7 (b) -7 (c) 67.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 4669.6656 rounded to the nearest ten?\nAnswer: 4670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1053)*3*2 - -3*(sqrt(1053) + 5)) + 1)**2.\nAnswer: 2592*sqrt(13) + 85551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-3705)\/(-10)*-2. Let n = s - 507. Is 54 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/24302 and 49\/291595.\nAnswer: 244356610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/10183 and 12\/85.\nAnswer: 50915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*z + 18 = 0, 0 = -6*s + 3*s - 3*z - 12. Let m(j) = -2891*j. Let k(v) = 123*v. Let n(a) = s*m(a) - 118*k(a). Let c(b) = -4*b. Determine n(c(p)).\nAnswer: 236*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61677 rounded to two dps?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/5, -0.3, 27822, 3, 1, -8?\nAnswer: 27822","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-20))\/(13\/((-206180)\/(-65)))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*n - 179025 + 179121 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 2*l - 1. Let t = 77 + -87. Let d(x) = x**3 + 9*x**2 - 9*x + 12. Let g be d(t). Determine u(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(1\/(-16)*-4 + -1). Let x = 40 + b. Suppose l - 60 = -4*l. Calculate the highest common divisor of l and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f + 32. Let g be v(-3). Solve 19*p + g = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392 and 1372.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16107*l**2 + 2*l - 6 - l**3 - l**4 + 0*l**4 + 16111*l**2 to the form k*l**4 + d*l**3 + r + z*l**2 + a*l and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*w = 270*w - 56. Let s be (-4)\/3 + w\/((-630)\/(-111)). Which is the third smallest value? (a) -0.4 (b) s (c) -0.9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*k - 190, -3*z + 3*k + 8 + 133 = 0. Let j = 13 + -13. What is the remainder when z is divided by (j - (4 - 25)) + -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331627281 to the power of 1\/3, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7120260 (base 8) to base 15.\nAnswer: -270d64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(343))**2.\nAnswer: 8575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 197*q**6\/10 - 1206*q**2 - 1313*q. What is the derivative of n(r) wrt r?\nAnswer: 2364*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w + 1 + 7*w + 0*w. Suppose 0 = 6*r - r + 5. Determine g(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**2 + 0*u**2 - u**2)*(4 - 4 - 4*u) + 2*u**3 - 4*u**3 + 4*u**3 in the form k*u**2 + m*u**3 + b + i*u and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 3*g**5\/40 - 3*g**4\/32 - g**3\/8 + 3*g**2\/16 + 7. Factor j(a).\nAnswer: 3*a*(a - 1)**2*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14573.\nAnswer: 13, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**5\/20 + 3*x**2\/2 - 5. Let g(r) be the second derivative of q(r). Let m(p) = -2*p**2. What is m(g(f))?\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48\/7*k - 44\/7 - 4\/7*k**2.\nAnswer: -4*(k - 11)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 12 = 4*g, -j = 4*j + 4*g + 42. Let u be ((-495)\/81 - j)\/((-2)\/(-4)). Which is the closest to -0.1? (a) -0.07 (b) 2\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 25) + 57 + -74 + 139.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 1. Let t(k) = -3*k + 2. Let x = -290 + 286. Let b(o) = x*u(o) - 2*t(o). Let h(m) = -4*m**2 + 9. Determine h(b(i)).\nAnswer: -16*i**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n - n - 2*n + 0*n + 0*n + (3 - 3 - 3)*(0*n + 4*n - n).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -3, -0.04, -2, -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*l**4 - 30564*l**3 + 621270*l - 1 wrt l?\nAnswer: 84*l**2 - 183384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1003*d + 4987. Calculate y(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 20. Let x be 5\/c + (0 - 0). Which is smaller: 0.4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 - 36928*g\/3 + 1765632.\nAnswer: (g - 36784)*(g - 144)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m - 36. Calculate d(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 10*k**2 + 4*k - 11. Let y(t) = 5. Let c(f) = 1. Let n(j) = 4*c(j) - y(j). Let r(v) = b(v) - 5*n(v). Solve r(a) = 0.\nAnswer: -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-4 - (-2 - 3))*(-34 + (-11750)\/(-282)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**6\/24 - 13*g**5\/12 + g**2 - 50*g. Factor a(s).\nAnswer: 5*s**2*(s - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzqnrqzqnqqn. Give prob of picking 1 q and 1 z.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60611157 or 60611158?\nAnswer: 60611157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 4:55 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + v**2 - 4*v**2)*(-102*v + 4 + 7*v - 4).\nAnswer: 475*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -12) + 13 + -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8686*z = -8681*z - 215, -4*l + 2*z = -82. Factor -l*u + 375 + 3\/5*u**2.\nAnswer: 3*(u - 25)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3371 in 0.2, 1, 0.9, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -14*s**2 + 4*s - 4. What is r(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 12:28 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -142199 (base 10) to base 11\nAnswer: -97922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*7448741.\nAnswer: -178769784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20)*3)**2.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6678616?\nAnswer: 2, 7, 239, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at most 91357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 1050?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -352 - -354. Suppose -i*q = -3*p + 8 - 6, 3*q - 12 = -3*p. Solve -3*f = -5*c + 2*f + 30, -p*c + f = -11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/8*2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/19 and 7\/28975.\nAnswer: 28975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -99550 times -0.365?\nAnswer: 36335.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 7:30 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-15) - -2 - (-768)\/(-504))*3. Which is the third smallest value? (a) 4 (b) -2\/3 (c) -0.5 (d) f (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1927672 is divided by 64.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**5\/60 - 7*c**4\/24 + c**3\/6 + c**2. Let p be n(7). Which is smaller: -1\/13 or p?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24737873?\nAnswer: 17, 311, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q - 4. Let k be c(-3). Suppose -3*v = -2*v - k. Is (-1)\/((0 - 1)\/v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3))**(4\/7)*(o\/o**(-2\/7))**29*o**(-3\/2)\/o**(-8)*(o**0)**(-10\/13) assuming o is positive.\nAnswer: o**(1847\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2114*o**3 + 1233*o**3 + o**2 - 2945*o**3 + 2943*o**3 - o**2.\nAnswer: 3345*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.087 + 36.087. Let o = 36 - t. Let f = -0.09 + -0.01. Sort o, f, 1 in descending order.\nAnswer: 1, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119522 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 + 2*i**2 + 2*i + 5. Let h(n) = 6*n**2 + 3*n + 7. Let b(l) = -l**3 - l**2. Let t(j) = -3*b(j) - h(j). Give 7*a(g) + 5*t(g).\nAnswer: g**3 - g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 5*s + 166 = -p, -5*p - 3*s + 143 = 0. What is the least common multiple of p and 576?\nAnswer: 17856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 12) in base 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {j: 8, a: 2, t: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 1. Let x(s) = -25*s + 1. Let y(a) = -5*a. Let z(b) = -2*x(b) + 11*y(b). Give 14*f(h) - 6*z(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 2. Let b be a(-5). Let y = 1 + b. Let z be ((-6)\/4)\/(2\/y). Which is smaller: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**5\/w)\/w)\/(w*w*(w\/w**(1\/7))\/w*w))**(2\/3)\/(((w**(-3)\/w)\/(w*w*w*w**6))\/(w**(2\/3)\/((w**(-5)\/w)\/w))) assuming w is positive.\nAnswer: w**(436\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o - 18. Let a(k) = 4*k - 28. Let z(m) = -5*a(m) + 7*x(m). Let l be z(-13). Is -2\/25 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - c - 1. Let d(m) = m**3 - 2*m**3 + 3*m + 0*m**3 + 4 - 3*m**2 - 1. Give -d(i) - 3*s(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x**2 - 3*x - 7. Let c(m) = -27*m**2 - 11*m - 25. Let z(j) = 6*c(j) - 23*u(j). Let a(s) = s**3 + 5*s**2 + 5*s + 2. Let g be a(-3). Calculate z(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 - 3*t + 2. Let y(x) = -x**2 + 4*x + 14. Let b be y(6). What is the least common multiple of s(b) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33105 (base 6) in base 13?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34247)\/(-36) - (5 + (-42)\/8). Let l = -947 + i. Calculate the common denominator of 3\/(11 - (2 - 2)) and l.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67294, 134563, 201830, 269095, 336358, 403619?\nAnswer: 470878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-16\/5)*o**(-38)*o**(-11\/6)\/o*o**(-6\/11) assuming o is positive.\nAnswer: o**(-14711\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7912 and 93.\nAnswer: 735816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 3*w - 10. Calculate f(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 69*q**2. Let x be 6\/(10\/16*8 + 3\/(-1)). Let m(h) be the second derivative of 0*h**x + 0*h**2 + 35*h - 1\/6*h**4 + 0. Determine v(m(g)).\nAnswer: 276*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/1*(0 - -2). Suppose i = -h + 5*h. Calculate the lowest common multiple of 8 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5084 + -5040. Calculate the remainder when w is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/24522 and 19\/120.\nAnswer: 490440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)*u**(-1\/4)*(u\/(u*u**(-2\/17)\/u*u))\/u**(2\/13) assuming u is positive.\nAnswer: u**(-5557\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 3020835.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1880186559?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yyyoooyllyloryyooyy.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f = -h, 0 = 2*h - 8. Suppose -1 = 4*p - 4*d + 3*d, -2*d = -f. Sort 1, p, -2.\nAnswer: -2, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -8*z + 4. Let j(l) = 2 + z + 2*l**2 - l**2 + 0*l**2 + 7*l. Is 11 a factor of j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 9*a**2 - 11. Give l(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 2, s: 3, o: 1, j: 7}. Give prob of sequence jy.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 p when four letters picked without replacement from pmiiptpptt?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 869157?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 7*b**2 + 8*b + 1. Let n be p(-8). Let w(u) = -5*u - 1. Determine w(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 111 (c) 0.0703 (d) 0.5 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 73841592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 302817791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/559 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/147*(-3 + 0\/1). What is the smallest value in h, -2, -0.15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4*2 - 2. Suppose -44*g = -60*g - 704. Let w = 218\/5 + g. Which is the second biggest value? (a) -5 (b) w (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m + 15. Let n(f) = 11*f - 18. Let a(u) = -5*n(u) - 6*s(u). Suppose 3*x - 6 = 3. Let z(y) = 0*y - 5*y + x*y. Calculate a(z(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -594461 - -594336.9714. Let s = f + 124. What is s rounded to three dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*d - 3. Suppose 4*v = 4*f + d*v - 47, 0 = -3*f - v + 37. Calculate the remainder when 23 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121 - -12. What are the prime factors of o?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -59*w**2 - 2*w - 2. Let f(m) = -354*m**2 - 13*m - 14. Give 4*f(j) - 26*l(j).\nAnswer: 118*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/12 - 4\/6. Let b = 0.07 + -22.07. Let i = b + 33. Is g less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/360)\/(6\/684) + (2 - -3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24 - (5 + -5) - 1*2. Let l = -19 - -44. Let k = l - g. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-112 - -92) + (0 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -12*y**2 + 25*y**2 - 17*y**2 - 8*y + 7*y. Let h(k) = 3*k**2. What is o(h(b))?\nAnswer: -36*b**4 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (5 - -5 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1.9.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07088453807 and 0.166.\nAnswer: 0.23688453807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416 + 361 - 371 = -213*y. Factor 0 - 1\/9*c**y - 13\/9*c.\nAnswer: -c*(c + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 310 + -211. Let i = q - 68. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1218684 by -9908.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 453\/26 + 68\/39. Let s be 1\/(-9)*(-60359)\/(-26). Let p = -258 - s. Find the common denominator of f and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5 + 6*v**2 - 2 + v**3 - 1 - 8*v + 4. Let q(c) = -c**3 + 10*c**2 - 2*c + 13. Let w be q(10). Let u be a(w). Solve u*r - 3 + 9 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*x = -52, 2*x = -3*h - 1 + 69. Let l = h + -17. Solve 3 = -2*z - l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -1\/4, -3\/7, 3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**5\/q)\/q)\/(q*q**(-1\/5)))\/(q**(-2)\/q**4))\/((q**(1\/2))**(-22\/3)*q*q**6*q*q*(q**(1\/10)*q)\/q) assuming q is positive.\nAnswer: q**(83\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 262*s. Let x(k) = 2*k. Calculate x(g(d)).\nAnswer: 4*d**2 - 524*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33.3 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**5 - 24*b**4 + 744*b**3 + 2704*b**2 - 28260*b - 113400 = 0 for b.\nAnswer: -14, -5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32338*l**3*m**2 + 102*l**2*m**2 + 312*l*m**2 - 31*l*m + 7*l - 38*m**2 wrt l.\nAnswer: 194028*l*m**2 + 204*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -10*c. Solve c*l - 4*l = -4*d, -5*l - 5*d = 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 734\nAnswer: 1\/734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 + 5*h + 6. Let l be r(5). Let g = -61 - l. Suppose 3*n + g = 4*n. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -483246529?\nAnswer: -483246528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-12)*6\/(-98)*(-582)\/873.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*u - 598*u + 168*u to r*u + x and give r.\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/30 and -5\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*u - 38, i + 0 - 2 = 3*u. Suppose 0 = g + 5*l - 19, -5*l = i + 14. What is the highest common divisor of 198 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -125662021?\nAnswer: -125662020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1407.043 times -2\nAnswer: -2814.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*c + 8*c - 49*c + 31*c + 139*c to y*c + s and give y.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -3\/4, 15, -8, -12?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 24. Let t = 13 - o. Let d be (0 + (-6)\/(-8))\/3. Which is the nearest to d? (a) 0 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -845*q**2 - 1699*q - 11. Give c(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215 + -160. Suppose t + 25 = 2*t - o, 2*o = -8. Calculate the remainder when h is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -18?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 46*h**3\/3 + h**2 + 63*h + 9. Find the first derivative of o(a) wrt a.\nAnswer: 92*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 33823\/21, -0.2, 4 in decreasing order.\nAnswer: 33823\/21, 4, -0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6. Let v be -2*(4 - (-40)\/(-16)). Let f(k) = 6*k - 21. Let s(o) = v*t(o) + f(o). Calculate s(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + v = 2, 4532*l - 92 = 2264*l + 2266*l - 5*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61968 - -209?\nAnswer: 208.38032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112532, -464897, -1052172, -1874357, -2931452, -4223457, -5750372?\nAnswer: -7512197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(sqrt(1216) - (0 + sqrt(1216) + 4)))**2 + ((sqrt(1216)*1*-1 + 3)*5)**2.\nAnswer: -1200*sqrt(19) + 30644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -22*((-5)\/2 + 2). Suppose -3*z = 5*l - 32, 0 = 3*l + 5*z - 21 - k. Solve 14 = 2*g + l*t, -t + 12 = -3*g + 4*t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*v + 3*d, -d + 2*d - 8 = 5*v. Let h be 1 + (3\/(-3) - -5). Suppose -7*r = -2*r - h. Sort r, v, 2.\nAnswer: v, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, m: 14}. What is prob of picking 1 m and 1 n?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1421 (base 5) to base 7.\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 17804 = -27*t + 2*v, -t + 5*v + 17839 = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-244.\nAnswer: 73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5183 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-5) - 4\/(-10). Let s = 19 - r. Calculate the smallest common multiple of s and 34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, e: 2}. Give prob of sequence nnee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 12:21 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1905382 (base 10) to base 2.\nAnswer: -111010001001011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 5*a - 5. Let p be f(-8). Suppose -p - 21 = -5*d. Solve 0 = -2*z - 4 + d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(-10) + (-9)\/(-45). Suppose -3*k + 0 = -d. What is the highest common divisor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*s - 323. Let u = -102 - s. Let i be 1\/4 - 38\/(-8). Solve -u*b + 2*b - i = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 126 = -3*n, -827*n = -806*n + 3*f - 810 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9381 + 0.2.\nAnswer: 1.1381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 52624607710 to the nearest 1000000.\nAnswer: 52625000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3755 - 7492 = -3*i - 3818, i - 8*l = -2 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Let a(y) = 2*y + 1. Let s be a(w). Solve -3*f - 16 + 6 = s*k, 4*f = 5*k + 45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (3 - 4) - (27 + -26) - -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3445.\nAnswer: 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 30.7. Let n = f - -6.7. Let d = n + -8.99997. Round d to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqz when three letters picked without replacement from {y: 1, q: 7, t: 2, z: 2}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -173c - 4?\nAnswer: -1743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 854 - 851. Suppose 0 = -r + 24 - 30. Let h be r\/5 + 0 + 1. Which is the nearest to 7\/4? (a) 2\/13 (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41341 + -14224?\nAnswer: 22112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576148 is divided by 64015?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18976\/9 + -2114. What is the common denominator of r and (-1 - (-1 + 292\/36)) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9352 divided by -2338\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - -76. Suppose 3*m = -3*o + 39, y*o = 4*m - m - 53. List the prime factors of 6908\/60 + (-2)\/m.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*n + 2159 + 16455. Let b = 1117 - n. What is the greatest common divisor of 39 and b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 minutes before 9:45 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is h in 14213*h + 14204*h + 14353*h - 15*h**3 + 1572*h**2 - 42455*h = 0?\nAnswer: -1\/5, 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.93 + -0.07. Let w = 64.3 - 64. Let y = 20 - 98\/5. Which is the nearest to y? (a) -1 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.27 (c) -8\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*l**2 + 115385 - 57692 + 2*l**4 - l**3 + l - 57695 in the form m*l**2 + o*l**3 + c*l**4 + x*l + d and give m.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in 1\/7, -1\/7, 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 8*y + 5. Suppose 3*c + 13 = m, -3*m - 2*c + 42 = 14. Let f = 19 - m. Let p be q(f). Calculate the greatest common factor of p and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -5*v**7\/21 - 3*v**4\/4 + 17*v. Find the third derivative of o(p) wrt p.\nAnswer: -600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 2*t - 5. Suppose -2 = -s + 2*h, 12*h - 10 = -5*s + 2*h. Let i(p) = 5*p**2 + 11*p - 24. Give s*i(j) - 11*g(j).\nAnswer: -j**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.93 to 0 decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3 - 2 + 2*r + 3*r - 3 - 4*r**2 + 83*r**3. Let j be f(1). Let y(z) = -88*z**2 + 0*z**3 - z**3 + z + 3 + j*z**2. Give y(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 964*l**4 + 2*l**2 + 5645*l - 52453345 wrt l?\nAnswer: 3856*l**3 + 4*l + 5645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*6*((sqrt(98) + 2 + sqrt(98)*1)**2*-3 + 0)*-4.\nAnswer: 20160*sqrt(2) + 142560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1998 + -2000.6062. Let y = n - -2.6. Round y to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12657.13989 + -12657. Let g = 0.14 - d. Round g to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 0*k**2 + 0 + 0*k**3 + 5\/12*k**4 + 11*k. Let x(o) = 3*o + 3*o - 6*o + 4*o**2. What is x(d(y))?\nAnswer: 100*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/63067058 and 49\/5267.\nAnswer: 63067058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 92.58946 micrograms?\nAnswer: 0.00000000009258946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 102013233 (base 5) to base 9\nAnswer: 714146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -22, -0.4, -1\/2, 1, 243?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02182 + -397.97818. Is -2 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-60)\/(-3)) + 23 + 4 + -96 + -1?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + (4 + (9 - (2 - -13)) - -4) + -10.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 40*l - 74. Let x be n(-4). Let z = -219 - x. Suppose y = -2*y + 177. What is the remainder when y is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, 0, -1, 34 in descending order.\nAnswer: 34, 1, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6 (b) 2 (c) -2 (d) 19.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 - 135. Suppose 8*k - 625 = -z*k. Calculate the remainder when 88 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**4\/4 - 7*g**3\/3 - 5*g**2 - 7*g - 7. Give a(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or -20?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19440 * 28.\nAnswer: 544320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 87269877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 281116, 562180, 843244, 1124308, 1405372, 1686436?\nAnswer: 1967500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 10*z - 5. Let u be k(5). What is the greatest common divisor of 68 and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0*z + 11. What is the smallest common multiple of z and (3 + (-39)\/9)*-3?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*v + 73*v - 428*v - 30*v + 73*v.\nAnswer: -698*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 6 - (6 + -2356). Suppose 100 = 6*h - t. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -103, -121, -161, -229, -331?\n\"Answer: -x**3 - 5*x**2 + 4*x - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1482 and 3800541?\nAnswer: 1877467254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o + 2. Let x be (-36 - 0) + (-6)\/o. Let k = -23 - x. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/758 (b) 1\/9 (c) -3 (d) -18743\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 338.8 - 339. Which is the nearest to -0.3? (a) 3 (b) r (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -162264\nAnswer: 5\/162264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 1176.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 8. Let n be 1 + ((-2)\/2 - -2). Suppose -n*d - z*m + 60 = 0, -d - 2*m + 38 = 2*m. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**4\/12 + o**3 + 3*o. Let m be j(5). Solve 17 = -3*n + m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -2195\nAnswer: -8780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-106)\/2*((360\/30)\/4)\/3.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1\/9 (c) 1\/6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(45\/6) + 3068\/(-5460).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73510717760888 - -8?\nAnswer: -73510717760880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o + 3*b - 1720000, -2*b + 1720000 = -2*o. Round o to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21056 is divided by 602.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003452 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 406ab (base 13) in base 14?\nAnswer: 300ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19 (b) 547821 (c) 6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 46 and -1669?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -11. Let g = p + -5.99999936. Round g to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8 - 4 - (10 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 1\/6, 1\/3, -14?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3456)*-1)\/((6*sqrt(20)\/sqrt(2))\/(-2*sqrt(45) + sqrt(5))).\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {w: 3, i: 12, y: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -187 + 873 - 225536*m**2 + 171 + 225534*m**2 in the form o*m**2 + t*m + g and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 3444255.\nAnswer: -137770.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1396, 3953, 6510, 9067?\n\"Answer: 2557*k - 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2073*c**4 - 30*c + 367646.\nAnswer: 8292*c**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5566943 by 242041.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -68 (b) -0.2 (c) -3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = z - m - 501, -3*z = -3*m - 1521. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3)\/n)**(11\/3)*(n**(-2\/9))**29)\/(n**8*n**(1\/3)*(n*n\/(n\/(n**7\/n)))\/(n\/((n**5\/n)\/n))) assuming n is positive.\nAnswer: n**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -3\/763 (c) -3 (d) -1\/4 (e) 1 (f) 258\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12311332201 (base 4) in base 16?\nAnswer: -1b5fa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/17 (b) 3 (c) 1 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 6:56 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s + 3 = 0. Let r(c) = c**3 + c**2. Let x be r(s). Suppose x = -7*q + 8*q - 1. Calculate the greatest common factor of 5 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52814298 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/5 + (-3)\/(-30)*6. Suppose -4*t - 4 - 16 = g. Let u(d) = -d**2 - 5*d + 4. Let x be u(t). Which is greater: 5 or x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3306, -14613, -33920, -61227?\nAnswer: -96534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1323861*g**3 - 462*g**2 - g - 4 wrt g?\nAnswer: 7943166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -155.\nAnswer: 19\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 199 - 201 + 292 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*(45\/9)\/5*936718\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/8 - 27335*o**2\/8 - 23348361*o + 23351778 = 0 for o.\nAnswer: -13668, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3855728 - 3855728 - 6082*g to l*g + v and give l.\nAnswer: -6082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18528946*t**4 - 20*t + 324438 wrt t.\nAnswer: -222347352*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.8 + 6. Let b = 11.66 + -10.66. What is the closest to n in -2\/7, 4\/3, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - (-13 + -38)) + (-6 - -25 - -1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 + -64. Which is the third biggest value? (a) -3\/2 (b) -1\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11686*r**2 - 5525*r**2 + 22861*r**2 + 6634*r**2.\nAnswer: 35656*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - z**2 + 4*z**2.\nAnswer: 3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 + 6*p**2. Let h(t) = -t + 1. Let r be h(-1). Let b(g) = -5*g**2 + 3*g**r + g**2 + 0*g**2. Calculate -4*b(n) - d(n).\nAnswer: 2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1319 + 1321. Calculate the smallest common multiple of 322 and v.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, s: 4, z: 4, f: 1, r: 2, g: 1}. Give prob of picking 1 f and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -14663646080 to the nearest 1000000.\nAnswer: -14664000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 1. Let d be s(-3). Suppose -a + d*a + 25 = 0. Let p = a - -44. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1634904977 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*w - 2, -137 = -5*m + w. Let c = m + -12. Calculate the highest common factor of 10 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1 - 5 + 0 + t**2. Let m(v) = 4*v. Let l be m(-1). Is s(l) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85*b**2*n**3 + 51490*b**2*n - b*n**2 + 3*n**3 + 147*n**2 - 9*n wrt n?\nAnswer: -510*b**2*n - 2*b + 18*n + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -207654.071 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*l**3 + l**2 + 24*l**3 + 0 - 2*l**4 + 1 + 26*l**3 in the form f*l**3 + x*l**4 + u*l**2 + i*l + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m**3. Let c(y) = 45*y**3. What is 5*c(d) + 24*f(d)?\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 15 - (19 + -40)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50818136 and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -64543 (base 8) in base 12?\nAnswer: -13743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 9*w**4\/4 - 22*w**3\/3 + 62*w**2 + 190. Find the second derivative of s(i) wrt i.\nAnswer: 54*i - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(9\/2))\/o*o**14)**(2\/3) assuming o is positive.\nAnswer: o**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*b - 1)*(0*b - b + 6*b)*(2 + 4 + 3) - 2*b**2 - b**2 + 0*b**2.\nAnswer: -93*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6288*y**2 - 257793*y - 2. What is i(41)?\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*n - 8 = 0, 2*n + 28 - 20 = 2*o. Let a be (2\/6)\/((-15)\/(-9)). What is the nearest to o in 0, 0.4, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 + 118. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by -25\nAnswer: -59\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 594, -8, -20, -4, 5, 2 in ascending order.\nAnswer: -20, -8, -4, -3, 2, 5, 594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/(k\/((((k*(k*k**(-3))\/k)\/k)\/k)\/k)))**(1\/6) assuming k is positive.\nAnswer: k**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/30 + (-10)\/(-25))\/3. Which is the smallest value? (a) t (b) 2 (c) -1.1 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12953575, 12953585, 12953597, 12953611, 12953627?\nAnswer: 12953645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1.2, -1\/7, -1 in decreasing order.\nAnswer: 0.5, -1\/7, -1, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i\/i**(-1\/26))\/i)**(7\/10))**33 assuming i is positive.\nAnswer: i**(12243\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174705?\nAnswer: 3, 5, 19, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 82474682 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccncnncccccccnc. Give prob of picking 1 n and 1 c.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**2*u*y + d**2*u + 19*d*u + 2*d*y - 28*u*y - y + 1 with respect to d.\nAnswer: 6*d*u*y + 2*d*u + 19*u + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 1:37 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 4*p + 27, 2*k - 18 = -p. Suppose 0 = m + 3*j - 110, -k*m + 424 = -7*m - 4*j. Calculate the remainder when m is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3447 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 4, b: 6}. What is prob of sequence xxbu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -237 - -14161?\nAnswer: 13823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*4\/(-4))\/(11\/1)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - d - 23 = 3*f, 2*d = 2*f - 28. Suppose 0 = -2*y + 5*i - 10, -y = 4*y - 4*i - f. Sort y, 4, -6 in descending order.\nAnswer: y, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(21) - sqrt(336)))\/sqrt(7).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2. Let n(u) = -9*u**2 + 8. Let t(s) = 0 - 5 + 203*s**2 - 197*s**2. Let l(c) = 5*n(c) + 8*t(c). Determine l(j(k)).\nAnswer: 75*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1248867 or -1248866?\nAnswer: -1248866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*7*16\/(-168)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 38*q**5 - 165*q**2\/2 - 109. What is the second derivative of i(k) wrt k?\nAnswer: 2280*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4.5. Let q = -5.5 + l. Which is the closest to 0? (a) 1\/4 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1. Let b(p) = p. What is 5*b(a) + d(a)?\nAnswer: 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -568255 - -296711. Let s = f - -1241544. What is s rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 1414*j**2 - 4228*j + 2816.\nAnswer: -2*(j - 704)*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 13*t - 19. Let p(w) = 6*w - 10. Let u(o) = 3*a(o) - 7*p(o). Let r be u(4). Solve r = g - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 20*m + 4*z + 139, 3*m + 36 = -2*z + 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02914 rounded to four decimal places?\nAnswer: 0.0291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + 64. Let t = -145 + h. Let g = 4 - 4.4. Sort -2\/9, t, 0.3, g in ascending order.\nAnswer: t, g, -2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2870, 17435, 55342, 128261, 247862, 425815, 673790, 1003457?\n\"Answer: 1945*n**3 + n**2 + 947*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -248 + 11891\/48. Find the common denominator of h and -62\/165.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643877?\nAnswer: 3, 182653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 918\/72) + 4\/(-48).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**4 + 16*r**3 + 2*r**2 - 16*r = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (4 - 16) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8 = -5. Let b = 25 - q. Let d = 17 - b. Solve 4*k = -d*o + 33, -k - 24 = -3*k - 4*o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 1 + 19. Suppose 6*r + 19835 = 19853. Solve -2*c + 4 - 3 = -5*v, -r*c - 10 = q*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -8 + -17 + 1 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:56 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 1, a: 1, s: 3, o: 1}. Give prob of sequence ma.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i - 113*i + 167 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -35. Solve p*q = -q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*k**2*o**2*s + 5*k**2*o**2 + 2*k**2*s**2 + 3*o**2*s**2 + 13*o*s**2 wrt o?\nAnswer: -14*k**2*s + 10*k**2 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -346, 11, -2 in increasing order.\nAnswer: -346, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - o**2 + o**2 + 1 + 4*o**3. Suppose -4*d = -5*t + 23, -2*t - 3*d - 137 = -114. Determine i(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - -6. What is the remainder when y is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(-1)*u\/(u*u**(2\/3))*u*(u**(-1\/2)\/u)**(11\/2) assuming u is positive.\nAnswer: u**(-83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*k**4 + k**5 + 0*k**5 - 16*k**4 + 7*k**5 - 7*k**5 + 8*k**5 + (-2 + 2 - 1)*(3*k**5 - 9*k + 9*k).\nAnswer: 6*k**5 - 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2 - 11671*j - 11670 = 0 for j.\nAnswer: -11670, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 21*h = 3408. Calculate the highest common factor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51137618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(-6) - 27450\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 - (1 + 0 - 1). Let k = -17 - -30. Let m = k - b. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1452*n = 195*n - 56565 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + z. Suppose 3*j + j = -12. Let v(c) = 11*c. Let a(d) = -6*d. Let b(r) = j*v(r) - 5*a(r). Determine b(q) + 3*n(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*v - 1 - 2 = 0, -2*v + 14 = 2*d. Suppose 3*i = -5*g + 97, 1 = -4*i - 3. Suppose 0 = -f - f + 6. Solve 0 = f*n, d*x - 3*n - n = g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 16) to base 4\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.3, 2\/7, -78, 87 in descending order.\nAnswer: 87, 0.3, 2\/7, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**5\/20 + p**3\/6 + 3*p. Factor x(j).\nAnswer: -j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l - 45*l + 24 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkk when three letters picked without replacement from {t: 4, k: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36\/8)\/((5\/2)\/(-5)). Let w be (-16 + 4)\/2 - p. Solve r + 6 = w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65945061 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20097 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00081901353 to 6 decimal places.\nAnswer: 0.000819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10615 and 4254685.\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 8055614?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*k**3 + 8*k**3 + 680*k**3.\nAnswer: 789*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*p = 14, 4*u + 184764 = -2*p + 184762 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.55 + -0.05. Let g = 0.50000056 - p. What is g rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3 - 78556*u**2 + 314272*u - 314288 = 0. What is u?\nAnswer: -19643, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -516\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22833 is divided by 345.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -24*q**3 - 2*q**2 - 16*q - 6. Is c(-8) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -14.938?\nAnswer: -5.9752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1, -7, 0, 3 in ascending order.\nAnswer: -25, -7, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4710*n - 32950. What is h(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.97 + -0.17. Let h = k + -10.8. Let c = h + 8.99999918. Round c to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -937, -1884, -2851, -3850, -4893, -5992, -7159, -8406?\n\"Answer: -2*d**3 + 2*d**2 - 939*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c. Let r(w) be the second derivative of -5*w**3\/6 - 2*w**2 + w. Let j = 417 + -408. Let y(z) = 11*z + 9. Let h(m) = j*r(m) + 4*y(m). Give q(h(n)).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -o + 5*o. Suppose -o*w + 0*w + 10 = 5*b, -2 = 2*b. Suppose 0 = -2*a - 3*a + 3*x + 19, -5*a = -w*x - 15. Solve -p = 4*p + 4*i, 5*p = -a*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84 + -48. Let u = 599 - 562.7. Let r = u - t. What is the third smallest value in -1\/3, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*(-10 + (-532)\/(-56))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 1610075.\nAnswer: 96604.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3178 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 14192.\nAnswer: -4257.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 4*q + 2 + 3*q.\nAnswer: -6*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 3:55 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k + 10. Factor -4*t**2 + t**4 - t + t**3 + k*t**2 - 2*t**4.\nAnswer: -t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-2) - -2 - -4. Suppose -2*q + 7 = -c. Suppose -14\/3*b**4 + q*b + 4\/3 + 10\/3*b**2 - 6*b**3 = 0. Calculate b.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-14) - 216\/(-504).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3832 is divided by 68?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*c + 55, -5*u = -4*u + 3*c - 54. What is the lowest common multiple of u and 18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -180, -1 in descending order.\nAnswer: 2, -1, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/6 and (-4)\/14*-2 + 2 + -1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 6. Let w be p(3). Calculate the highest common divisor of 9 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27, -4413, -11757, -22053, -35295, -51477, -70593, -92637?\n\"Answer: d**3 - 1485*d**2 + 62*d + 1395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Suppose 12*p - 7 = 19*p. Let v = 64 - 46. Let i(d) = v*d**3 + 0 - 17*d**3 - 4*d + 0. Give p*i(t) - 3*m(t).\nAnswer: -t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 42251 (base 8) to base 16\nAnswer: 44a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9531351.\nAnswer: 3, 117671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 27*m + 2677. Determine j(-45).\nAnswer: 1462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26670.\nAnswer: 2, 3, 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 18*o - 1. Let m be t(-12). Let z = 80 - m. Let n = -300 + 444. What is the greatest common divisor of z and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d + 3*d**2 - 2 + d + d**2 + 5*d to the form z + j*d**2 + n*d and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, h: 5, m: 6}. Give prob of sequence xm.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 + 7 - 7 + 3 + (0*z - 3*z + 5*z)*(5*z**2 - z**2 - 3*z**2).\nAnswer: -z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y + 133. Let d(a) = -19*a - 200. Determine 5*d(z) + 7*w(z).\nAnswer: -4*z - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) - (-11568)\/36. Suppose 325*i - j*i = 774. What is the remainder when i is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001001101 - 100?\nAnswer: 1000001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 13) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 - 18*g - 85. Let u be x(-7). Let f = u + -193. What is the highest common divisor of f and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from ressrrs.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q + 6*q + 7*q**3 - 34*q**3.\nAnswer: -27*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 2*t - 69 = -21*r, 23*t + 5*r + 13 = 21*t - 30 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*(544\/(-48))\/((-80)\/(-12)).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 0*x**3 - 1 + 2*x**3 - x**3 + 2*x**2. Let b be d(-1). Let t = 101 - 91. Solve -5*u + t = -b*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((9555\/(-7))\/(-13)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*i + 12, 0 = -2*i + 3*b - 5*b - 8. Let v(r) be the first derivative of r**2\/2 + 259*r + 6. Is v(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 5*a**8\/336 - 17*a**7\/21 + 11*a**6 - 299*a**5\/6 + 2675*a**4\/24 - 140*a**3 - 1811*a**2 + 1. Factor f(c).\nAnswer: 5*(c - 24)*(c - 7)*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 507 and 40092.\nAnswer: 521196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.945 - -0.045. What is z rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/54832 and 119\/1788.\nAnswer: 164496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18069 = -4669*u - 4491*u + 8843*u for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - h + 304. Does 65 divide g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + l**2 - 9 + l + 14 - 6. Suppose 0 = -b + 1 - 4. Let p be j(b). Which is bigger: p or 3\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -557, -405, 0, 10 in decreasing order.\nAnswer: 13, 10, 0, -405, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from {y: 4, d: 5, a: 3}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (95\/40)\/((-16)\/160)*18*(-42)\/189\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 641*j**3*y**3 - 3*j**3 - 2*j**2*y**2 + 9*j**2*y wrt y?\nAnswer: 3846*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 108 = 3*g, 2*r - g - 43 = -2*g. Solve -5*h + 1 - r = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 163 - 160. Solve 3*n - 4*s - 11 = 20, -n = -r*s - 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18299, 18296, 18291, 18284, 18275?\nAnswer: 18264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10751562 - 3583864 - 3583848 + 2*w - 3583850.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 4*o - 3. Suppose 0*j - 3*j + 3 = 0. Let a be 17\/j*(-3 + 5). Let w be a\/9 - 2\/(-9). Calculate q(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 37. Let q be f(-20). Which is the nearest to 1\/3? (a) q (b) 0.3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 5*o = -4*o + 4, -5*z - 4*o = 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 - 0.18. Let p = 0.0314 + -0.19. Let w = p - a. What is w rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffzzffz. Give prob of picking 1 z and 2 f.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + d + 1)*(d + 1 - 1)*(93*d - 48*d + 12*d).\nAnswer: 57*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8840 divided by 2210.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -461775, -461781, -461787, -461793, -461799?\nAnswer: -461805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 2:11 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25\/258 - -3\/43. Let t = 0.521727 - 0.021727. What is the nearest to b in 2, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 7*c + 4. Let j be x(-7). Let d(p) = -4*p + 16. Let m(q) = -2*q + 8. Let o(w) = j*d(w) - 7*m(w). What is the units digit of o(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1 + 280*o - 1 - 278*o + 1. Let s(c) = c. Calculate -n(p) + 3*s(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcvvueemeccvruv. Give prob of sequence rv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 11:28 PM?\nAnswer: 415","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is -185\/13504 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*p**2 + 2128 - 2128 - 16*p + 16*p - 59*p**2.\nAnswer: -113*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 m, and 1 h when three letters picked without replacement from {m: 2, g: 1, x: 2, h: 1, d: 1, o: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 687 a factor of 651104261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 2. Let m(v) = 8*v - 5. Let u(d) = -5*i(d) + 2*m(d). Let b(x) = 3*x + 5. What is -b(r) + 5*u(r)?\nAnswer: 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 - -88. Let o be n\/4 - (-9)\/12. Suppose -j = -4*j + o. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -15, -37, -65, -99?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 400426?\nAnswer: -400421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.5, -1\/307, -1\/10, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2*q**2 + 2*q**4)*(226 + 343*q - 226) + 4*q**5 - 2*q**5 - q**5.\nAnswer: 687*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 11:21 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 169 - -c?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**3\/5 + 2778843*d**2\/5 + 4446120*d + 44461104\/5 = 0.\nAnswer: -926273, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -729197056, -1458394111, -2187591166?\nAnswer: -2916788221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 13*p**2 + 13*p - 4. What is n(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -192 - -192. Let p(i) be the third derivative of 1\/3*i**3 + 0 - 1\/8*i**4 + 1\/60*i**5 + t*i - 7*i**2. Solve p(h) = 0 for h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 11) in base 3?\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-20))\/((-1)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 - 293\/4. Let q = l - -123. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/22*(1 - (2 + -2)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 1. Let o(i) = i**3 - 5*i**2 - 7*i + 9. Let h be o(r). Let t(k) = 11*k + 1. What is the units digit of t(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 50. Let d be (-8)\/3*-2*3\/p. List the prime factors of -2 + d*(27 - -1).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(605)*-2 + sqrt(605) + sqrt(605))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2)*(-r**2 + r**2 + 2*r**2) + r**2 + 1 - 1 + r**2 - 2*r + 2*r - 1 - 3*r**2 + 1 - 8 + 8 + 3*r**2 + (-3*r**2 + 2*r**2 + 0*r**2)*(2 + 3 - 3).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 0*b**5 + 0*b**4 + 1\/3*b**3 - 4 + 0*b + 0*b**2 - 1\/2*b**6. What is the third derivative of d(w) wrt w?\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.0634 rounded to zero decimal places?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327, 1236, 2745, 4854, 7563?\nAnswer: 10872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 9*y + 2. Let h be s(6). Let m be (-5)\/(h\/(-12))*5. Solve 5*f = -m, -2*l - f + 5 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4813027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 489826123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3.7, -1\/3 in decreasing order.\nAnswer: -1\/3, -2\/3, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**6\/27 - 2*v**5\/9 + 7*v**4\/18 + 2*v**3\/27 - 8*v**2\/9 + 8*v\/9 + 3. Solve b(s) = 0 for s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*f - 113*f = -85*f - 1922 + 21186 for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -528 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -134082 divided by 67041\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12.983*-4.3\nAnswer: 55.8269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(168\/(-287)) + 7\/(-126)*-15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide -5*(-9)\/60 + 634\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**2\/2 + 2*w - 2. Let a be h(-2). Calculate the highest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 130*s**3 - 2*s**2 - 2*s + 2. What is the units digit of r(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**5\/3 + 592*k**4\/3 + 15244*k**3\/3 + 63368*k**2\/3 + 10582*k - 36984 = 0?\nAnswer: -268, -23, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40210 + 3123?\nAnswer: -32032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k - 22*k - 16*k to v*k + g and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 286 + -280. Let l be 2\/(-4) + (-26)\/(-4). Calculate the greatest common factor of m and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*r**4 - 3*r**3 - 13870*r**2 + r - 4846769?\nAnswer: -756*r**2 - 18*r - 27740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -542*z + 8051 - 3719 + 22768 for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 12:34 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456 divided by 114.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/12 + 4*(-18)\/(-96). Sort 5, f, -5, -11.\nAnswer: -11, -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - d. Let i = 7 - 6. Let b be t(i). Solve 4*s - 2*x + 12 = b, 0*s - s = 3*x - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.3 - -2.3. Which is the nearest to -2\/7? (a) -17 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10*m**3 - 4*m**2 - 5*m - 5. Suppose -l + 1 + 4 = 0. Let w(t) = -5*t**3 - 2*t**2 - 2*t - 2. Let r(u) = l*w(u) - 2*o(u). Factor r(p).\nAnswer: -p**2*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4\/5 + 13256*h**3\/5 + 14429652*h**2\/5 + 5711771792*h\/5 + 742637191696\/5.\nAnswer: 4*(h + 323)**2*(h + 1334)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1283 - 2462?\nAnswer: -1168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407858745?\nAnswer: 3, 5, 7, 173, 22453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 866 - 864. Suppose 6*b - 11*b + 15 = 0. Solve x = b*c - 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + ((-4)\/1)\/(-2). Suppose 2*h + 2*c + 14 = l, 2 = -h + 2*c + 4. What is the remainder when (-18)\/h*(-100)\/(-15) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -i + 60, -5*b + 3*i + 140 - 1 = 0. Suppose b + 1 = 6*n. Suppose -3*m = 5*t - 131, 2*t - t = -n*m + 255. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9419 divide 194012562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4222 (c) 1 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7641949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101234 is divided by 739?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65012.\nAnswer: 2, 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27665 and -4.\nAnswer: 27661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3355*i + 166380. What is d(49)?\nAnswer: 1985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*p - 45*p + 84*p + 2*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10332001 + 22?\nAnswer: -10331313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m + 2. Let h = 4 + -3. Let k(y) = -7*y + 0*y + h + 4*y. What is 6*k(r) - 4*p(r)?\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2153 rounded to one decimal place?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26556731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t - 102 = -45*t. Let y be (4*(-60)\/144)\/(8\/t). Is 0 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.5 + 1. Let f = 5.52 + z. Which is smaller: 5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l = 16. What is the greatest common factor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4301250.97 to the nearest ten thousand.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p - 174. Give q(50).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 + 4*r**2 + 5*r + 5. Suppose -4*z = -3*z + 2. Let n(s) = -s**3 - 2*s**2 - 2*s - 2. Let j(y) = z*m(y) - 5*n(y). Let j(t) = 0. Calculate t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 3, -12, -31, -54, -81?\n\"Answer: -2*k**2 - 5*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*g + 34*g + 9*g**3.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = h - 42, -2*q + q = 5. Suppose -h = -4*u - 2. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16941166.2us?\nAnswer: 0.0000280111875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - i - 2. What is r(3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (21 - 2) + 2 + -9 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98*y**3 - 116 wrt y.\nAnswer: -294*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000808 rounded to six decimal places?\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**20*b)\/b*b*(b*b**16*b)\/b*b)\/(b*b\/(b\/b**(-19))*b\/((b*b**(2\/17))\/b)) assuming b is positive.\nAnswer: b**(954\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 539, 1069, 1595, 2117, 2635?\nAnswer: 3149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -76 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 + 3*h**2 - 5*h**2. Let g = -6 - -7. Let f(n) = 2*n**3 - 2*n**2 - 2*n. Let a(s) = g*f(s) + 2*v(s). What is the second derivative of a(o) wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -9 - -2 - 3 - (-105948)\/108 is divided by 47.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28759 by -6.\nAnswer: 28759\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 86*j**2 + 1. Determine p(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 4338?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(2*l**2 - 3*l**2 + 2*l**2).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/3 - 602*m\/3 - 2940 = 0 for m.\nAnswer: -14, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**6\/10 + o**4\/4 - 3*o + 1. Let k(t) be the first derivative of u(t). Find the third derivative of k(g) wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72 - 67 - (3 + -4 - 19)) + -17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-56)\/64 + 33\/6 + -5)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssqssssqsssssssq. What is prob of picking 1 s and 2 q?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -187 + 50. Let i be 0 + (-326 - 1) + -1. Let w = z - i. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 1 f when three letters picked without replacement from flqllpp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/22)\/(34\/(8364\/(-123))).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 3*z - 23 = -0*x, 4*z + 24 = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3034042243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from rqrgatm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13875 and 193460975?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -4, -5, 13, -6 in descending order.\nAnswer: 13, -4, -5, -6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/2 + -1)\/(-5 + -8). Let s = -1.5 - -1. What is the biggest value in p, -2, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1643*a**2 + 33216 with respect to a.\nAnswer: 3286*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/4 - 9*m**4\/4 + 13*m**3\/2 - 17*m**2\/2 + 21*m\/4 - 5\/4 = 0. What is m?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2411.6 + -2412. Let h(d) = 2*d + 25. Let c be h(-13). What is the third smallest value in s, 0.1, -3, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*n - 323*n = -189*n + 207*n + 23028 for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, k: 9, c: 2}. What is prob of picking 2 q and 1 k?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 466397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -203. Let v = 79 + r. Let m = -52.053 - v. Round m to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 223 - 315. Let g = -64 - y. Calculate the remainder when g\/12 + -3 + (-244)\/(-6) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2333 (base 6) to base 9.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 7 + 4446\/(-1494). Sort 5, z, -3\/5, 0.4.\nAnswer: -3\/5, z, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63193691?\nAnswer: 11, 73, 78697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 23 (c) 2\/5 (d) 3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*m + 30. Suppose o - 22 = -2*o + 2*g, 0 = -m*o + 3*g + 36. What are the prime factors of (-24 + -1)\/((-51)\/(-9) - o)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 3406 in ascending order.\nAnswer: -2, 1, 3406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 462.68678 take away 120224?\nAnswer: -119761.31322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 - -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4341 (b) -109 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 172, 160, 148, 136?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2 + (-3 - -2). Let x = -25901.97 + 25902. Which is the fourth smallest value? (a) -3 (b) r (c) x (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 398545, 398548, 398551, 398554, 398557?\n\"Answer: 3*n + 398542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10582 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -5, -9, -3, 677630, 5 in descending order.\nAnswer: 677630, 5, 0, -2, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 725*a**2 + 11*a + 25. Is t(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3\/7*x**3 + 0*x + 1\/7*x**2 + 2\/7*x**4 + 0 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9884.526ug in milligrams?\nAnswer: 9.884526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148 (base 10) to base 15.\nAnswer: 9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**3 - 4*j**2 + j + 9. Let n(z) = -4*z**3 + 5*z**2 - z - 11. Let h(r) = 5*a(r) + 4*n(r). Let y(b) = 66*b**3 - 55*b - 55. Give 55*h(o) + y(o).\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*o = -64*o + 252588. Let c be o\/420 + (-3)\/10. Is c greater than -301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**3. Let h be b(1). Let c(y) = -10*y - 7. Let z(r) be the second derivative of 3*r**3\/2 + 3*r**2 + 476*r. Give h*c(k) + 6*z(k).\nAnswer: 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-6))\/7*1\/2\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 417, 412, 413, 426, 457, 512, 597?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - 6*d**2 - 5*d**4 + 12*d**2 - 4*d**2 - d**3 in the form i*d + c*d**3 + y*d**2 + h + f*d**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - i. Let b(h) = 3*h**3 + 12*h**2 - 3*h. Determine -b(z) + 3*f(z).\nAnswer: -3*z**3 - 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, c: 2, m: 4}. What is prob of picking 2 m, 1 t, and 1 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y**3 - 202*y**4 - 3*y**3 + 201*y**4 - 15*y**2 wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3011 + 0.4011. What is the second smallest value in 1\/4, m, 1\/5, 3.8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 0*z + 0 + 0*z**3 - 5\/24*z**4 - 23*z**2. Let d(g) = -g**2. Determine d(s(m)).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 128*m - 48. Let r be u(6). Let k = -717 + r. Solve 4*a = 5*i + 3 + k, -2*i - 2*a + 12 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3)\/12*-134)\/((-1)\/(-6)) is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3303 = -3*v + 5*m, 33*m - 2210 = -2*v + 35*m. Calculate the remainder when v is divided by 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/((-4)\/(-54)). Suppose j - v = 13. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 0, 4*h + 3*d = h + 6. Suppose l + h = 2*l. Calculate the highest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.09 (b) -5 (c) 1 (d) 9 (e) -18.57 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -2. Suppose 3*z + r*q = 7, -q + 5 = 3*z + 4*q. Calculate the highest common factor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 - 15*w**2 - 46*w + 11. Let p be k(13). Let x = p + 318. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/3010 and -29\/19824.\nAnswer: 4262160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3\/113474, -0.3 in decreasing order.\nAnswer: 3\/113474, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -18*d**2. Let q(b) = 170*b**2. Calculate c(q(h)).\nAnswer: -520200*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730299 times 67?\nAnswer: 115930033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 3:49 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485727149 is divided by 188?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b - 2. Let i be a(2). Let j be 6 - (22 - -6)\/(0 + -2). Solve -w - j = -i*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*-2)\/(sqrt(16)\/(sqrt(12)\/sqrt(3))))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 8363?\nAnswer: -8364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 56440187 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(833) + -2 - sqrt(833)))**2 + sqrt(153)\/(-5*sqrt(81)).\nAnswer: -sqrt(17)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90255 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4025 - 0.4. Round j to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 - -2) - 1 - 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110*c**4 - 3446*c**2 - 999894*c wrt c.\nAnswer: 1320*c**2 - 6892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h - 2*o, -4*o + 3 = -h. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2. Let s(j) be the second derivative of -28\/3*j**4 - 14 + j + 0*j**2 + 0*j**3. What is s(u(m))?\nAnswer: -448*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -2 (c) -2\/11 (d) 7 (e) -0.2 (f) 27\/2 (g) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -2\/87 (c) 4 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -540*k - 6808730 + 23082888 = -28578242. What is the ten thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406066 is divided by 101505?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -1132033?\nAnswer: 1132110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.1297387 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 2*z - 2. Let y be d(2). Suppose o = 4 - y. Suppose -4*j + 2 = -o*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59648 by 577.\nAnswer: -59648\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2463671990 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 151*i + 538*i + 392*i - 130*i.\nAnswer: 951*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 1\/2, 3\/28, 2.5, -3?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, g: 4}. Give prob of picking 1 r and 2 g.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (-26)\/6)*(-18)\/10. What is the common denominator of 37\/15 and 154\/18 - (o + (-3 - -1))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - q + 35 = 0, 0*a + 2*a = -3*q + 14. Let m = 2 - a. Sort m, -3, 0, 1 in descending order.\nAnswer: 1, 0, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, m: 3, f: 12}. Give prob of picking 1 f and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*r + 2*k, 21 = 2*r + 2*k - k. Suppose -2*s - 25 + 75 = 0. What is the remainder when s is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, a: 8}. What is prob of picking 3 f?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3305312, 3305307, 3305302?\n\"Answer: -5*f + 3305317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -123, 5, -69, 3 in descending order.\nAnswer: 5, 3, -69, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122427294 + -1538054096034\/12563. Let q = -2\/739 - p. What is the nearest to -4\/5 in q, 3\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i**2 - 5*i - 4. Let h(c) = 5*c**2 - 3*c - 3. Calculate 3*h(k) - 2*q(k).\nAnswer: k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 89. Let p = 164 + d. Does 27 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -5. Let g(l) = -l**2 + 13*l - 1. Is g(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g + 140*g + 7 - 165*g - 8 - 3.\nAnswer: -g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddppppodooompomn. Give prob of picking 2 p.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 - (9 + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -176*c**2*x**2 + 18*c**2*x - 2966*c**2 wrt x?\nAnswer: -352*c**2*x + 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**2 + 322164*q - 8649136908 = 0.\nAnswer: 53694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25, -31, -39, -49, -61, -75?\n\"Answer: -g**2 - 3*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288889 by -31.\nAnswer: 9319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 15 = 7*z. Suppose -3*x - 340 = -z*u, 4*x = 2*u - 29 - 121. What are the prime factors of u?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2244*w - 2241*w = -5*r - 11, -11*w - 2*r - 73 = -0*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 15) + -77 + (-123 - -191).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1698164 by 289.\nAnswer: -5876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b - 30. Suppose -4*i + 3 = b. Let w be 1\/i*0 + 0. Solve -2*n + w = 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 10*t + 11. What is z(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19071 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 721*d**2 + 69*d + 136. What is the thousands digit of i(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 8*s**2 - 6*s**2 + 0*s**2 + 5 in the form f*s + z*s**2 + n and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -180695.2062 to the nearest 100.\nAnswer: -180700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*((sqrt(135) - 1*sqrt(135)) + sqrt(135) - sqrt(135)))\/((sqrt(12) - (sqrt(12) + (sqrt(1200)*2 - sqrt(1200))))\/(6*sqrt(8)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.054 - -0.054002985. Round w to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 12*j**2 - 12*j + 17. Let y be u(-13). Suppose 4*i = -l + 42, i + 3 - 22 = y*l. What is the remainder when 194 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/35061 and 43\/14508.\nAnswer: 420732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 0.3, 0.2, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -15. Solve v*l + 0 = 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*u + 6 + 10, 0 = 5*u - d - 11. Let x(s) = 0 + 2*s**3 + 4*s**2 + u - s**3 - 2*s - 9. Let q(j) = j**3 - j**2 + j - 4. Let t be q(0). What is x(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -7. Suppose -2*l + 4 = -2, 2*u - 3*l + 1 = f. Solve 18 = -r - 5*i - 2, 5*r + 13 = u*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -15*k**2 - 1. Let l(n) = 15*n. Give u(l(v)).\nAnswer: -3375*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23657484887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272*42.\nAnswer: -11424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(5445))**2 + (sqrt(45) - 1*sqrt(720)).\nAnswer: -9*sqrt(5) + 21783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -42, -70, -110, -162, -226, -302?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 10. Let s be 6\/2 - 8\/(-8). Suppose -3*g + 2*n + 109 = 4*n, g = 2*n + 47. Calculate the remainder when g is divided by l(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 118 = 29 - 28 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.350057 years to months.\nAnswer: 100.200684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 309 + 21. Let r = w + -9. Calculate the highest common divisor of 18 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 545853.\nAnswer: 2183412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*v = 54*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 4, -3\/8, 2, 129, -3 in descending order.\nAnswer: 129, 4, 2, -3\/8, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 473 and (287 - 286)\/(1 - 4\/6)?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c - 96. What is g(-19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from kcdkfudckkuddduchd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/15)\/(c**(-29)\/c)*(c\/(c*c\/(c*c*c*c**14)*c))\/(c**(8\/5)\/c))**45 assuming c is positive.\nAnswer: c**1986","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 466935653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s**3 - 3*s**2 + s - 1. Give l(2).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1771 is divided by 408.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -1447, 9 in descending order.\nAnswer: 9, -2, -4, -1447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -13*t**4\/2 - 48*t + 53. Differentiate l(s) wrt s.\nAnswer: -78*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, 37\/8, -0.03, -9?\nAnswer: 37\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-569055)\/6*124\/(-310) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 1, g: 5, f: 6, h: 1}. What is prob of sequence ge?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1485 + -2350. Let c = n - -697.0069. Let d = c - -168. What is d rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9098777 at most as big as -9098778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1361.741 from 9116.\nAnswer: 7754.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.8303 plus 2701?\nAnswer: 2719.8303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-22))\/((-58)\/(-145)*(-15)\/33). Let g be (-8)\/6*18\/(-5). Let g*o - 36\/5 - 4\/5*o**t = 0. What is o?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.58 - 0.47. Let s = -3.4 - 23.6. Let h = s - -27.4. What is the nearest to -1\/2 in h, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3025 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -423 + 403.1. Let p = a + 19.899698. What is p rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186\/5 smaller than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8*f**2. Let m be 1\/(1\/15) - -3. Let c(u) = -13*u - 7*u + m*u. What is c(i(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 67 - 367. Suppose -2*w + s + 380 = 0. Suppose -162 = -h + w. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06438 rounded to 3 decimal places?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 11. Let q = -159 + 177. Suppose -18*g - q = -19*g. Calculate the smallest common multiple of s and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4374063665 to the nearest integer?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-48)*-2)\/((-35)\/294)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5786053 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 10:09 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 50961*0.2\nAnswer: 10192.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 20904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(85) + -3*(sqrt(85)*1 - sqrt(85)) - sqrt(85)) + -6*(sqrt(85) - sqrt(85)*3))\/(sqrt(405)\/(sqrt(18)\/sqrt(2))*-3))**2.\nAnswer: -544\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*m + m. Suppose -4 = -m*a - 0. What is the third derivative of p**a + 2*p**4 - 8*p**4 - 2*p**4 + p**4 wrt p?\nAnswer: -168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-11 - (14 + -37))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/192*28\/(-21).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -116*r - 17865. What is m(-154)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5232599143561\/622608 - -352981339\/42. Let s = 1\/1853 - k. Let u = -189\/23 + 1411\/460. Calculate the common denominator of u and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(2058) + sqrt(2058)*2)*-4 - sqrt(2058)))\/((sqrt(270)\/sqrt(5)*-3)\/sqrt(576)).\nAnswer: -2912*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 653843518 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3267 - -6887. Calculate the greatest common divisor of b and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-3)\/((-99)\/341)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 2*k - 25 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37271630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**5 + 62894*s**3 - 268*s**2 + 2*s - 71?\nAnswer: -60*s**2 + 377364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 - 96284*p\/3 - 96290.\nAnswer: 2*(p - 48145)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yeea when four letters picked without replacement from yedyayaehaaddddeya?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4872 + -68213\/14. Let t be 6\/21 + 2 - 2. Which is the second biggest value? (a) 4 (b) v (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 2. Let m be c(-3). Let d be (-1)\/(-3) - m\/(-36). Is -1 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 8, -4*l - 61*z = -58*z + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*f, -5*x - 25 = 5*f - f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 43*o + 39*o - 7 = 0, 3*c - 5*o + 7 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5511197767 to the nearest integer?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 61 = 69. Let f be a\/(1*(-3 - -4) + -3). What is the units digit of f\/((-117)\/132)*18\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10*f + 22*f - 19960 = 17*f, -40 = -5*f. Factor -625\/2*d**4 + n*d**3 + 40960*d - 32768 - 19200*d**2.\nAnswer: -(5*d - 16)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57.4 != 94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 13*r**2 - 45*r + 11. Let s(g) = -6*g**2 + 22*g - 6. Let c(q) = -6*n(q) - 11*s(q). Find the second derivative of c(i) wrt i.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j**2 - j - 13*j**2 + j. Let q(b) = 46*b**2 - 2. Calculate k(q(t)).\nAnswer: -4232*t**4 + 368*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - -1 - 52\/91. Which is the second smallest value? (a) d (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.5, 0, 0.3705, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 f, and 1 i when three letters picked without replacement from iaqiaiaaaiifada.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -4*g**5\/5 + 31*g**4 - 364*g**3 + 1810*g**2 - 3800*g + 1295. Factor p(f).\nAnswer: -4*(f - 19)*(f - 5)**2*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-99)\/55)*4\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b - 5734b?\nAnswer: -57387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 - 3)*((-4*g**2 + 4*g**2 - 5*g**2)*(-4*g - g + 4*g) + 8*g**3 + 32 - 32).\nAnswer: -143*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f - 10. Calculate the remainder when 53 is divided by y(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*b + 206 - 411 + 205 to t + y*b and give y.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 x, 1 v, and 1 n when four letters picked without replacement from tkxgnkv.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 12. Let y be q(-12). Suppose y = -4*m + 20 + 36. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2. Let v(y) = 0 - y - 4*y + 0. Calculate v(n(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 2:47 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1777 is divided by 563.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) -279 (b) -0.0248 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/10*6*1. Put 2, w, -19 in descending order.\nAnswer: 2, w, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 180*o + 14 - 180*o - o**2 as c*o**2 + w*o + s and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 6*l**2 - 4*l + 12. Let g be c(-7). Let v be 4086\/54 - (-6)\/g. What is the greatest common factor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8 and -36690.5488391.\nAnswer: -36691.3488391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 4) to base 9\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24159660 and 6440?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7 + a - 4*a**2 - a**3 + a + 7*a - 3*a. Let m be q(-5). What is the derivative of t + t**4 + 0*t**4 - t + m wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, r: 1, w: 5, x: 4, k: 4, z: 1}. What is prob of picking 1 u and 1 r?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 2*o + 6 - 1, 2*o - 10 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1081*p + 3. Let c(y) = 2187*y + 5. Determine 4*c(l) - 7*t(l).\nAnswer: 1181*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 - 6*a**2 - 6*a - 1. Let i(g) = -5*g**3 - 17*g**2 - 17*g - 3. Determine -6*i(v) + 17*k(v).\nAnswer: -4*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.81917 millennia in years?\nAnswer: 32819.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, -49, -120, -221, -352?\n\"Answer: -15*w**2 + 4*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8*y**2 - 18*y - 9. Let u(n) = -2*n - 14. Let q be u(-8). Let c(h) = h**2 - 2*h - 1. Let k(d) = q*s(d) - 18*c(d). Let o(x) = -115*x. Give k(o(i)).\nAnswer: -26450*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (-36)\/16)*0. Suppose 2*l - 7 = -0*c + c, 2*c = 5*l - 16. Let d(n) = -n + n - l - 4 - n. Give d(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 + 2*g. Let h(y) = -15*y**2 - 7*y**2 + 35*y**2 - 12*y**2. What is k(h(f))?\nAnswer: -3*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/7 + 66*u**2\/7 - 64*u\/7.\nAnswer: -2*u*(u - 32)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 426 (base 8) to base 9\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = 3*b, -4*b + 2*b = -3*z + 6. Let f be (1 + (z - 3))\/2. Put -0.2, 1, f in descending order.\nAnswer: 1, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 4:59 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*q**2 + 183\/2 - 177\/4*q.\nAnswer: -3*(q - 2)*(q + 61)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2691 - -8074\/3. Which is the second smallest value? (a) f (b) 0.2 (c) -0.45 (d) -2\/13 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 2\/(-6)*0. Let q be -1 + k\/(2\/(-12)). Solve -5*j - q = 2*i, -4*i - 2*j = -9*i + 31 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olx when three letters picked without replacement from lllixioiloill.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 5*i. Let c = 2 - i. Let m(d) = -6*d - 3. Let k(s) = s. Let w(u) = 5*k(u) + m(u). What is w(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 984 = 4*n, 3*n - 926 + 188 = -o. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -12*a + 1 + 4 + a**3 + 8*a - 3*a**2. Let u be r(4). Suppose 24594 = u*k - 5906. What is k rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2147*f = -2149*f + 3*w - 100, f + 67 = 2*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(4\/5))\/(d*d\/(d**(11\/3)\/d*d)*d))**1\/(d**(-2)\/(d**6\/d)*d*d**(2\/19)*d\/d**(4\/3)) assuming d is positive.\nAnswer: d**(826\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-4 + 3 + 2). Let c be ((-3026)\/(-62664))\/(f\/(-2)). Let q = -1\/746 - c. Is q less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264080566 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-279*v**2 + 74 - 28 - 46)*(-16*v - 8*v - 2 + 18*v) in the form b + c*v**2 + z*v**3 + n*v and give z.\nAnswer: 1674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2804.65939 rounded to the nearest ten?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/4 and (156\/832)\/((-15)\/76).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66174423779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 bigger than 607\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 - 9 + 11)*(-6 + 0 + 4)*((-2*r + 7*r - 3*r)*(-6 + 4 + 0) + 3*r - r - 3*r + 2*r - 1 + 1) + 62 - 62 + 14*r to the form h*r + p and give h.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 6 - 7) + 15 + 16 + -6.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 19\/9 of a hour?\nAnswer: 7600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/5 + 234*s\/5 + 4563\/5.\nAnswer: 3*(s + 39)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(77)\/sqrt(7)) - 6*(-3 + sqrt(5))**2.\nAnswer: -84 + 37*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 4:40 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 + 970*i**2 - 811*i - 76001. What is j(484)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*r - 52 = 0, -4751*h + 6*r = -4747*h + 104 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q - 12 = 0. Let k be 1*3\/q*0. Solve -2*u - 2*s + 12 = 0, -u - 5*s + 4 + 6 = k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 95*b + 148. Determine p(-93).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/37 or -2?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -23. Let b = x - 4. Let h = b + 20.9919. What is h rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10974.223 rounded to the nearest ten?\nAnswer: 10970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -3*x - 24, 54474*f - 54478*f = -9*x - 60 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110847 (base 10) to base 6.\nAnswer: -2213103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 33*y**2 - 61*y - 34. Let r be o(31). Let k be 20\/(-225)*3\/(-2). Put -5, k, r in increasing order.\nAnswer: -5, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 4:42 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/12)\/((-5)\/((-120)\/(-9))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46887?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 23 = 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2204*v**5 + 8*v**2 - 215*v wrt v?\nAnswer: 132240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 146546824 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-2))*(n*n**(1\/12))\/n*n*n*(n**(-15)*n)\/n**(2\/25) assuming n is positive.\nAnswer: n**(-2999\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**3 + y**2 - 1. Suppose -161*s - 7*s = 117*s + 3135. Let j(n) = 14*n**3 - 2*n**2 + 4. Calculate s*m(h) - 4*j(h).\nAnswer: -h**3 - 3*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1156?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1035 (base 7) to base 2\nAnswer: 101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1093257 and 14121?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t + 16. Let w be p(0). Suppose -4*k + 7*v - 2*v = -19, 3*k - 2*v = w. Solve g + g + k = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.047, 0.1, -5, -33.\nAnswer: -33, -5, -0.3, 0.047, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3837, -3829, -3819, -3807, -3793, -3777?\n\"Answer: l**2 + 5*l - 3843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1030*d + 144376. What is m(-140)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 8:29 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117656 is divided by 153.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 522992 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 11:58 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 11*j - 19. Let x be p(3). Solve 4*g + 7 + x = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 8*c**2 + 11*c - 35. Determine p(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(1\/4)*(y\/y**(-31))\/y)\/(y*y*(y**(-11\/2)*y)\/y)**(-2\/79) assuming y is positive.\nAnswer: y**(10321\/316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -13, -4, -275.\nAnswer: -275, -13, -4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 - 291*i**3 + 7479*i**2 - 20445*i + 13254.\nAnswer: 3*(i - 47)**2*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = -3*n, 25 - 9 = 4*k + 2*n. Suppose 3*u - 92 = -2*y, 0 = -k*u + 5*y + 115 - 9. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 2. Let z be d(0). Suppose 0 = 5*w + 20, 0*w = -p + w + 32. Solve -z*k - p = 4*g, 2*k + g = -3 - 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -1 - 7 - -1. Which is smaller: f or 3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 12, 165\/712, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 8 = 2846*r - 2845*r, -3*r + 2*k + 17 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1053) - (sqrt(1053) + 1 + sqrt(1053) + 3)) + (sqrt(117) - (1 + sqrt(117)) - sqrt(117) - sqrt(1300)))**2.\nAnswer: -37902 - 1320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/8 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 1. Let a(m) be the second derivative of -19*m**3\/6 - 3*m**2\/2 + 6*m - 456. What is -a(k) + 4*i(k)?\nAnswer: 23*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from naannnaaaj. What is prob of picking 3 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 1. Let s(x) = -x - 1. Let o(t) = h(t) + 3*s(t). Suppose 4*k = 3*b + 27, 3*k - 5*b = k + 17. Let j = -2 + k. What is o(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192066 and 1654.\nAnswer: 158838582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*3 - (3 - 1). Suppose n + 2 = -3*g. Suppose 39*r = 46*r. What is the smallest value in r, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*r - 2299 = 675*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1094.9, -5 in decreasing order.\nAnswer: -1, -5, -1094.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33239.658 - 33413. Let p = -173 - l. Round p to 2 dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200 - -210. Solve -5*y - r = -20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1600510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h + 65685 = 0. Let z(b) = -h*b**2 + 12*b + 30470*b**2 + 17236*b**2 + 19. Let y be z(-9). What is y rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 588*q - 37652. Calculate l(64).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -22 + 78 - 28 - 23 - 7*v**2. Let a(k) = -1. Give 5*a(t) + g(t).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 u, and 1 a when three letters picked without replacement from darsaauasannddd?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**(-2\/15)*a)\/a))**(4\/15)*(a\/(a\/(a**3*a)*a))**(4\/11) assuming a is positive.\nAnswer: a**(2612\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 914*c + 1113 + 18995 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 9*g**2 - 7*g + 9. Let j be z(-8). Let i = -1 + j. Solve 2*q = 6*u - 3*u + 8, -2*q - 2*u - 2 = i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (19 + -27 - 23)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2455971679 to the nearest integer?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39613 and 315.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/950 and -73\/3230.\nAnswer: 16150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381903?\nAnswer: 3, 127301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 4 + 9 - -18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-22 - -3)) + -5 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 7*y**2 - 8*y - 12. Let s be g(-6). Let f(x) = 2*x**2 + 4*x + 2. Let p be f(-2). Solve -7*q + p*q = s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 25 = 0, 32*s + 5*n = 36*s - 45. Suppose -5*c + f + 95 = 0, 0 = -5*c - 0*f - 3*f + 115. Let t = c - 10. Solve -5 - t = -s*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -6, 2, 5\/3 in descending order.\nAnswer: 2, 5\/3, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-4 - 0))\/(-1). Suppose -20 = -0*s - 4*s. Let u(w) = w**3 - 8*w**2 + 7*w - 4. Let p be u(7). Put p, -1, s, v in descending order.\nAnswer: s, v, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*j**4*q**3 + 3*j**4*q - 2*j**3*q**3 - 3*j**2*q + 29*j*q + 18*q**3 + q**2 wrt j?\nAnswer: 432*j*q**3 + 72*j*q - 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -262?\nAnswer: 5\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*b + 127*k - 125*k, 0 = -b - 2*k + 14. Calculate the least common multiple of b and 4\/(-14) + (-510)\/(-21).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14898 and 9399?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 188\/705*(-6)\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -71871, -72095, -72469, -72993, -73667, -74491?\n\"Answer: -75*d**2 + d - 71797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.091 + -5.091. What is the closest to -0.2 in c, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*z - 252*z + 269*z - 394*z.\nAnswer: -756*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 201728 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76449181796 less than 1?\nAnswer: -76449181795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 2)*(-7 + 7 + 2*t) + (-t + 3*t - 5*t)*(-28 + 165 - 42) as h + y*t and give y.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - x**2 + x - 1. Let c(f) = f**2 - f. Suppose 15 = 5*j + 5. Suppose -4*n - 1 + 9 = 0. Let s(a) = j*i(a) + n*c(a). Differentiate s(p) wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j. Let i(l) = l**2 - 14*l. What is 6*i(v) + 17*t(v)?\nAnswer: 6*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 364881 to the power of 1\/2, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a1 (base 12) to base 2.\nAnswer: -1000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*o + 4 = -7, -81 = -5*m - 2*o. Let j = -44 - -25. What is the tens digit of m\/3*(-4 - j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/621 and ((-51)\/1564)\/(1890\/3668).\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15.3 (b) 0 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2548) + 1*sqrt(2548))\/(2*sqrt(484)).\nAnswer: 7*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 153, -4, 3525, 3, 2 in descending order.\nAnswer: 3525, 153, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2.8. Let d = 0.03 + 4.97. What is the closest to -0.1 in 1, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206761574 + 3\nAnswer: 206761577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*y + 17, -2*a + a + 26 = 5*y. Suppose k - 8 = -4*n + 3, 5*k - 9 = 3*n. Let u = n - -1. Calculate the lowest common multiple of a and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 157, 159, 161, 163?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-570))\/((-106)\/9063)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 1\/2*i**2 - 9 - i - 2*i**3. Determine c(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-3) - (-4)\/(-2). Let b = l + 1. Let h = 10 - b. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 - 4*l - 4. Suppose -119 = 126*c + 259. Determine r(c).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.111 - 7384017?\nAnswer: -7384017.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 6:43 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2163433 and 161752.\nAnswer: 17307464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 - (-887)\/2. What is the remainder when (-2)\/1*79\/(-2) is divided by 3\/(-4) + y\/16?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 16*m + 7. What is the remainder when 17 is divided by z(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -360\/1177?\nAnswer: -360\/1177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2845598*q + 2845592. Calculate z(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 4 - 4) + 5\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - k**2 + 1. Let c(s) = -5*s**3 + 2*s**2 + 6. Let q(t) = -6*a(t) + c(t). Let h be q(-8). Solve -9 + h = -5*l + x, 4 = 3*l - 2*x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1\/(-7)*(-24 - -1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 801 - 798. Let p be (-1)\/3 + 32\/6. Put p, h, 0 in descending order.\nAnswer: p, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f - 2. Let y(n) = 30*n + 21. Let d(i) = 21*b(i) + 2*y(i). Let v(r) = -r. Calculate v(d(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 8 = -3*a - 2, 0 = -4*a + 5*k + 5. Suppose i - j - 2*j - 22 = 0, 5*j = -a*i + 70. Let n be (2\/(-66))\/(8\/i). Is 1 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8 + 5 = 0, 0 = r + 2*t - 53. Suppose q = -2*l - 51, 2*q + l = 2*l - 97. Let c = r + q. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2502 - -67.\nAnswer: -2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 1124894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(2 - 32\/18). Suppose -r = -2*y + u, 4*y - 13 = 5*u + 8. Suppose -5*p - 5 = -3*t, -y*t - 4*p = 1 + 3. Sort -2\/17, -5, t in descending order.\nAnswer: t, -2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(75) - (sqrt(75) + -2 - sqrt(75))*4))**2 + -5 + -4 + (4 + sqrt(36)\/(-2*sqrt(12)))**2 + 3.\nAnswer: 1276*sqrt(3) + 8939\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*5*(sqrt(187) - (sqrt(187) + 2*sqrt(187))))\/(sqrt(704) - sqrt(704)*2).\nAnswer: 75*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/1595 (b) -3 (c) -0.5 (d) -0.45 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237.8013 years to decades.\nAnswer: 23.78013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2. Let n(w) = 120621*w. Calculate s(n(c)).\nAnswer: 29098851282*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7011.553 nanograms?\nAnswer: 0.000000000007011553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-56 - (-2250)\/40)\/((-1)\/92)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/(410\/(-40))*49\/14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 6131 + 6183 - 11820)*(o**2 - 3*o**2 + 3*o**2).\nAnswer: -2*o**3 + 494*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -666 = -3*j - 663. Put 5, j, 4, 0 in decreasing order.\nAnswer: 5, 4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 12*k**2 + k + 1. Let m be z(-1). Suppose 4*l = -2*w + 392, 5*w - 348 = -5*l + 152. What is the greatest common factor of m and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387276 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 + 667 - 11*g**3 - 667.\nAnswer: -22*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 11, -1\/5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9058468 to the nearest integer?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -451. Suppose 0*n = 2*n - o. Suppose 5*w - 200 = -5*i, 0 = -7*i + 3*i + 3*w + n. Calculate the highest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -19*n**2 - 310*n - 351. Let z be t(-14). Solve -z*r - 63 = -274*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14124)\/(-5885)*(-6)\/(-48)*-6?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -21. Let a = -28 + 22. Let f = a - c. Solve -6*b = -2*b - f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21020 + 21027. Let l(w) be the first derivative of -12*w - 2\/3*w**3 - 32 - p*w**2. Suppose l(b) = 0. Calculate b.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -8. Let b = l + 18. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + o - 7. Give a(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*p**3*s + 6*p**2*s - p*s**3 - 40*s**3 - 3*s + 1 wrt p?\nAnswer: 36*p**2*s + 12*p*s - s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(64\/(-9)))\/(24\/(-32))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3 + (sqrt(2) - 4*sqrt(8)) + sqrt(2))**2 - (sqrt(242) + 0)*3).\nAnswer: -345*sqrt(2) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-2))\/(2 + 0). Suppose m = -2*g + 3*g - 1. Let l be 114\/8 + g\/(-4). Solve 4 = -2*j + l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 8*d + 18. Let j be r(-5). Solve 18*g**4 - 2*g**j - 4*g**5 - 9*g**4 - 8*g**5 + 5*g**3 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36294434783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*v + 17 = 0, -3*i + 5*v - 15 = -2*i. What is the third derivative of 5*j**i - 6*j**5 + 3*j**5 + 11*j**2 wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 407*j**2 - 1220*j - 1. Let g be f(3). Factor -8\/3*l + 2\/3*l**2 + g.\nAnswer: 2*(l - 3)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20643 (base 15) to base 4.\nAnswer: 121010013","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4976976 is divided by 261945?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -157, -315, -483, -667, -873, -1107?\n\"Answer: -d**3 + d**2 - 154*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 93636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 9*l + 13\/6*l**3 - 3\/10*l**6 + 0*l**5 + 0 + 0*l**2 + 0*l**4. What is the second derivative of q(b) wrt b?\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12617, -23169, -31651, -38063, -42405, -44677, -44879?\nAnswer: -43011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9672\/(-4433))\/((-78)\/(-33)).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 1, -4, -5, 10 in ascending order.\nAnswer: -16, -5, -4, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-500)\/(-10) - 2*1. Let o = y - 49. Let g(h) = -6*h**2 + 3*h**2 + h - 2*h**2. Calculate g(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 168?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 6 = -4*l, 5*p - 9*l = -75 + 60 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + s = -213, -7*u + 5*u - 2*s + 94 = 0. Let w = u + -51. Let b be 64\/(-1*w\/(-150)). Round b to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -826*l - 372*l - 807*l.\nAnswer: -2005*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/34 - (6 - (-800)\/(-136)). Solve c = 2*z + 4*n + 18, -5*z = -3*z - n + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6048.91nm?\nAnswer: 0.000604891","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*m = -14, -3*b + 6*b - m - 1 = 0. Let n be (3 + -4)\/b - 1. Solve n = -3*a + a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 84818\/(-36)*(-3)\/(-8). Let z = -2665\/3 - q. Let w = 11\/501 - 19781\/11022. Calculate the common denominator of w and z.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4428 divided by -6178\nAnswer: -2214\/3089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o = 18. Suppose 60 = -k + o*k. Let j = k + 0. What is the remainder when 22 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**5\/20 - 2*h**4\/3 - 2*h**3 - 3*h**2\/2 - 7*h. Let k be q(-2). Which is the third smallest value? (a) k (b) 2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((12\/(-9))\/4)\/(-1). Let l(y) be the second derivative of 0*y**2 + w*y**3 + 0 + y. Let m(k) = -k**2. Calculate m(l(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 10:49 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -199, -209, -225?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a. Let z(n) = 11750*n + 0*n**2 + n**2 - 11734*n. Give r(z(v)).\nAnswer: -5*v**2 - 80*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -698, -1527, -2684, -4169, -5982, -8123?\nAnswer: -10592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 116*r + 8304. Calculate j(-50).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 - 102. Which is the fourth biggest value? (a) -2\/5 (b) -5 (c) -1\/9 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841 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: Let p(s) = -s**3 - 7*s**2 - 5*s + 8. Let b be p(-6). Let a be 2\/3 - (0 - b). Does 4 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u - 920 = -v, 0 = 5*v - 3*u - 4715. Suppose -p + 6*p - v = 0. What are the prime factors of p?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545\/23 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 9:16 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9.51 and -8365267.1.\nAnswer: -8365257.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11334*j**3 + 3678*j**3 + 3982*j**3 + 3675*j**3 - 72*j + 72*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**4\/4 + 5*m**3\/3 - 8*m**2 - 61*m + 143. What is the tens digit of n(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1192 - 701. Let f = 17 + -12. Suppose f*y + 6209 = -m. Round y to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45211.18 meters in micrometers?\nAnswer: 45211180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1073 - 431. Suppose -6484 = -14*u + o. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7004176 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -1\/80*t**5 - 2*t**2 + 9 + 13\/32*t**4 + 0*t + 0*t**3. Factor i(w).\nAnswer: -3*w*(w - 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 + 18*q + 4. Let j be u(-4). Sort -1, j, -5 in descending order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70197432?\nAnswer: 2, 3, 2924893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/7, -12, -0.8, -3, -19\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 352*b**6 - 115241*b**3 + 52*b**2 + 1458525*b?\nAnswer: 42240*b**3 - 691446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*f + 22, 22 = 2*f - 5*w - 3. Let h be (18\/(-15))\/((-26)\/(-10) - 3). Let r(j) = -38 + h*j + 34 + 2*j - 6*j. Determine r(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/48 and 107\/78.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 470 and 16591.\nAnswer: 165910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 273104681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5449 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.1139ug to kilograms.\nAnswer: 0.0000000821139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-30))\/((611\/2145)\/(-47)*-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7016819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 1251849210*z + 625924600*z + 625924608*z.\nAnswer: -2*z - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9*((-1)\/5)\/((-27)\/(-45)). Suppose 422 - 1430 = -2*r. Suppose -3*d + x*m + r = 0, 0 = d - 3*m - 81 - 89. Does 25 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*x + 122*x + 31173 = 35*x + 363 for x.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 877435 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**2 - 80*h - 240 = 0. Calculate h.\nAnswer: -12, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(28\/3)\/z)**(4\/7)*(z**14\/z*z*z)\/(z**(-14\/5)*z))**(-5\/9) assuming z is positive.\nAnswer: z**(-2264\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/16, -1093, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**2 + z**2 + 0*z**2)*(22 - 22 + 6*z) to u*z**2 + q*z + d*z**3 + p and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 0*p**2 - 4*p**2 + 2*p**2 + p**2. Let v(i) = -9*i**2. Calculate m(v(a)).\nAnswer: -81*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2 + 2*g - 6*g - 2*g - 1. Let b(o) = 3 - 16*o + 0 - 3*o. Let s(z) = -2*b(z) + 7*p(z). Differentiate s(v) with respect to v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -377*c + 408 wrt c?\nAnswer: -377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -240001782 + 31681539605\/132. Let h = r + -29668\/3. Let l = -186\/11 - h. What is the common denominator of 67\/4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1360 and 39760?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -4 - 4 - (480 + -440)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10847715 to the nearest 10000.\nAnswer: -10850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*k + 2*q = 171*k + 4, 2*k - 3*q = -25 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**4\/6 - 5*h**3 - 50*h**2 + 602*h. Factor d(a).\nAnswer: -2*(a + 5)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, f: 1, h: 9, x: 4, o: 4}. Give prob of picking 1 f, 2 o, and 1 x.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7342957 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 10*n**2 - 12*n - 13. Let q be z(-10). Suppose 0 = i - 0*i + q. What is the tens digit of 8\/(-28) - i\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 + 99. Suppose -m - 3*r = -16 - 1, -v*m - 2*r + 23 = 0. Suppose 16*s + 151 = 12*s - 5*k, s - m*k + 19 = 0. What is s rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 - 76. Let k = -34 + u. Suppose 6*i = -k*i + 117. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from doudouudndhuod?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 0.1, -0.0592?\nAnswer: -0.0592","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 84, 0.6, 1.505?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**8\/784 + b**7\/98 - 3*b**6\/56 - 13*b**5\/28 - 5*b**4\/4 - 12*b**3\/7 + 18*b**2 - 2. Factor n(k).\nAnswer: 3*(k - 4)*(k + 1)**3*(k + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122432 + -11135?\nAnswer: -134011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2\/7 + 30*c\/7 + 368\/7 = 0.\nAnswer: -8, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7187, -7144, -7101, -7058?\nAnswer: -7015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-12) + (-845)\/948. Let d = -2\/79 + j. Let l be -1 + 14\/16*1. What is the second smallest value in -3, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13919051 (base 10) in base 14?\nAnswer: 1bc477d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 7*o + 185 = 0. Suppose 3*p = o + 38. Let b be 70\/p + (-2)\/(-10). Is b < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8421100 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 11) to base 10.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-38)\/(-1)*(-32)\/(-8). Let h = -150 + s. Suppose 4*d - u + 7 = 0, 0 = -0*d - 4*d - 3*u + 5. Put 1, h, d in descending order.\nAnswer: h, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 177\/41860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30385 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**6\/3 - 39*h**5\/5 + 45*h**4 + 100*h**3\/3 + 1561. Factor z(v).\nAnswer: v**2*(v - 10)**2*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 799 = -783 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*l - 27 = -8*t, 0 = -t + 2*l - 3. Suppose -7 = -t*v + 2. Factor n + n**4 + 2*n**3 - 3*n**4 - 2*n**2 + 4*n**4 - v*n.\nAnswer: 2*n*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = 0. Suppose h*n - 4*n = 0. Suppose -4*j + n*j - 4*b = -72, 3*b + 21 = 2*j. Calculate the highest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - a**2 + 10 + 2*a**2)*(21 - 7482*a - 3*a**2 + a**2 + 7487*a) to v*a**3 + o + s*a + c*a**2 + k*a**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 60ce607?\nAnswer: -60ce607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**5 + 11652*d**2 - 5880*d**2 - 5916*d**2 + 18*d**4 + 42*d**3 + 126 - 39*d = 0. What is d?\nAnswer: -3, -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -204 - -396. Let k(o) = 319*o**2 - 1919*o + 36. Let y be k(6). Calculate the highest common factor of y and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12 = -0. Suppose -i*x - 4451 = 5*w + 16359, w + 2 = 0. Round x to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1635 by -1.\nAnswer: -1635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 11*n**2 - 12*n - 24. Determine g(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ense. What is prob of picking 1 n and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130966.04 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 5?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 52\/211363?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - p**2 + p. Let d be h(0). Suppose -3*q - q = d. Suppose -m - f = -2*m + 3, 2*m + f - 3 = q. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 42 = -2*n. Suppose -3*u - 2*u = -1540. Suppose -3*r + u = -r. Calculate the greatest common divisor of r and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 + (110\/(-40) - 9). Which is the nearest to s? (a) -0.3 (b) 2 (c) -1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50033 - 3?\nAnswer: 50030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -1331*v**4 - 1089*v**3 - 297*v**2 - 27*v = 0. What is v?\nAnswer: -3\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/2 - ((-12 - 12) + 26). Factor 0*w**3 + 0*w + 0 - i*w**2 + 1\/2*w**4.\nAnswer: w**2*(w - 1)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9787 is divided by 4855?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*s - 4*f, 3*s + 4*f - 6 - 17 = 0. Suppose -7 - 15 = 11*z. Let i be (-264)\/715 + 39\/15 + z. Which is greater: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7844, -15823, -23866, -31961, -40096, -48259?\n\"Answer: 2*x**3 - 44*x**2 - 7861*x + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 25. Let z be w(-6). Let u(r) = -18*r - 43. What is the hundreds digit of u(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 14*p**2 - 3*p - 12 + 19*p**2 - 45*p**2 + 23*p + 11*p**2. Calculate f(11).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (9 - -6) + 3 + -109.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/207 - -611\/1035. Let r(w) be the second derivative of 0*w**3 + 3\/4*w**4 + 0 + w + 0*w**2 + v*w**5. Find the third derivative of r(j) wrt j.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 = -v. Suppose -v = 3*i - 4*q - 3, 0 = i + q - 5. What is the tens digit of -1*i - 310\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359838 is divided by 358636?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 5:14 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 + 8 = 3*l - 5*h, 0 = 5*l - 4*h - 374. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 12*a**2 + 24*a + 31. Let g be o(9). Let k = -8 + 11. Find the third derivative of 4*l**4 + 7*l**2 + 4*l**2 + k*l**g + 4*l**4 wrt l.\nAnswer: 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7080 + 1575 = -1355*q - 3808 - 10572 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 5 (c) -26\/43 (d) -2\/3 (e) 4 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of (-105)\/(-6)*486*32\/120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12988 - 13794 = 6*i + 20*i for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiiziii. What is prob of picking 1 z and 3 i?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30322202 (base 4) to base 8.\nAnswer: 147242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1054 + -2105\/2. Which is the fourth smallest value? (a) -5 (b) l (c) -0.6 (d) 3\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 46\/43, 3, -0.09 in increasing order.\nAnswer: -0.09, 2\/9, 46\/43, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - 1 - (-118 + 99)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 754693835396958 and 1?\nAnswer: 754693835396957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**2 + 4*p**3 + 0 - 7*p**2 - p**3 - 3 to the form k*p + o*p**2 + m + d*p**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515 + 1158 = -2*n + o, -2497 = 3*n + o. Let s = 1569 + n. What is the highest common factor of s and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i**2 - 7*i - 7. Let x(d) = 7*d**2 - 6*d - 6. Let g(l) = 6*v(l) - 7*x(l). Let p(f) = -4*f**2. What is g(p(b))?\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -309 by -3.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = m - 72. Suppose 0*j = 2*j - 4. Put -2, j, m in descending order.\nAnswer: j, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12 + -9 - (-8)\/2. Suppose -9*u = -b*u - 4. Is u\/((-12027)\/4011 + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 2*i**2 + i**2)*(26 - 33 - 37).\nAnswer: 88*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 8:54 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 45761, 182984, 411687, 731870, 1143533, 1646676?\n\"Answer: 45740*k**2 + 3*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 + -36. Let y = p + -58.29. Let v = -0.01 + y. Which is the closest to 1\/4? (a) 1\/7 (b) 0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3*x - 1998*j**2*x + 8*x + 9 wrt j.\nAnswer: 6*j**2*x - 3996*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41824 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/(-6))\/((-48)\/1656)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.393167 or 2.77?\nAnswer: -0.393167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/2 + (-1 + -3)\/(-2). What are the prime factors of (n\/6)\/((-1030)\/516 - -2)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 - 3*w**2 - 2*w**4 - 151*w**3 - 2*w**2 + 0 + 9*w**2 - 2 to a + f*w**4 + h*w**3 + m*w**2 + i*w and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w - 2828638 - 16*w + 28*w.\nAnswer: -2*w - 2828638","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -6. Let l = 1 + y. Suppose -l*i = -22 + 2. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37909, -37924, -37937, -37948?\nAnswer: -37957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -844.38 and 1.\nAnswer: -844.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -789257 smaller than -20520685\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, f: 2, p: 3}. What is prob of sequence fpp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n + 0*n)*(0*n - 4*n + 3*n)*(3 + 0 + 0 - 9 + 7 - 35 + 0 + 0 - 2 + (1 + 0 - 2)*(1 + 0 - 2)).\nAnswer: 105*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4402143012 (base 5) to base 6\nAnswer: 533423133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/8040 and -97\/14740.\nAnswer: 88440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/(5\/15)*327015\/(-1677).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 2a?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.231, -7, -2, 35 in increasing order.\nAnswer: -7, -2, -0.231, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/13 (b) -220\/9 (c) -5\/77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -113?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 3*u - 12*u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 1)*(4*b + b - 2*b)*(48257*b - 48572*b + 0 - 1) to y*b + a*b**2 + h and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 6*x**2 + 33*x + 15 = 0.\nAnswer: -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -32543*d - 227804. Determine l(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 340 + -340.5. Which is the smallest value? (a) d (b) -13\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16629 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*i, -b + 0*i = -4*i - 12. Suppose 0 = k - b*k. Suppose 3*h + k*h = 24. 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 12 - (14 + -3 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-21) - 600\/70.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-2))\/(0 - -3)*2. Suppose 7 = 2*u + s. Suppose -5*m = -u*g - 60 - 97, -2*g = 3*m - 79. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -11*n. Let p(k) = 11638*k**2 + 1312. Determine p(q(t)).\nAnswer: 1408198*t**2 + 1312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 + -53. Solve 1 - a = 5*b - 3*k, -5 = b - k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*z + 57*z - 32*z = -864 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3 - z + 7*z + 0*z - 5*z. Let f be m(6). Suppose -5\/3*p**f - 2\/3 - 3*p**2 - 1\/3*p**4 - 7\/3*p = 0. What is p?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 3:40 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.867 + 0.133. Let o = -14.905 + k. Let w = 1.095 - o. Which is the closest to w? (a) -0.3 (b) 2\/15 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264882636.2 rounded to the nearest 100000?\nAnswer: -264900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 (base 9) in base 2?\nAnswer: -1010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4583*b + 459. List the prime factors of w(4).\nAnswer: 19, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/38)\/((-30)\/40)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41910, 39444, 36978, 34512, 32046?\n\"Answer: -2466*l + 44376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 + -3.4. Let y = -4.8191 - -4.319. Let p = j + y. What is p rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) 1357 (b) 1.05 (c) -0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -15. Let j be (-1)\/(3 + 1 - 3). Let p(x) = 40*x**2 - x - 1. Calculate the remainder when p(j) is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*t - 1396 = 5*q, -3*t - 1745 = 5*q. Let g = q - -492. Calculate the greatest common divisor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 636470*j**2 - 2 + 1272837*j**2 + 0*j - 636495*j**2.\nAnswer: -128*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0460315186 + 0.04603. What is t rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*k - k + 61*k + (1 - k - 1)*(-1 - 5 - 3) in the form q*k + c and give q.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17914972, 17914970, 17914966, 17914960, 17914952?\n\"Answer: -w**2 + w + 17914972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*v**4 + 0*v + 4\/13*v**3 - 6\/13*v**2 + 0.\nAnswer: 2*v**2*(v - 1)*(v + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(228)*4 + sqrt(228))\/sqrt(12)*3 + ((sqrt(228)\/sqrt(300))**2 - (sqrt(475) + 2 - sqrt(475))**2)).\nAnswer: -162\/25 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 7*n)*(4 - 2 - 1)*(-4*n**2 + 2*n**2 + 4*n**2).\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtwm when four letters picked without replacement from tctmwmmmtmwmtcwcwc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**3 - 1. Suppose -6*o - 3*j - 9 = -5*o, 0 = 2*o + 3*j + 6. Suppose -o*a + 4*a + 8 = 0. Let h be ((-4)\/(-6))\/(a\/12). Give x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1 = -4*i + 11, -2*i = 4*c - 24. Suppose h - 118 = c*h - 4*w, -3*h - w - 64 = 0. Do h and -9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (144 - 167) + -66.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 11901 = -r, 8*p - 5*p - 3*r = 7131. What are the prime factors of p?\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -t - 3*t - 9639988, -4*c - t = -9640003. Round c to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30639691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -6*w - 0*w. Let y be (3\/(-6) + 0)\/(3\/w). Let n(q) = -29*q**3 - q**2 - q. What is the units digit of n(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35469 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(4))\/sqrt(5) - -2*sqrt(11)*-5.\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632095581?\nAnswer: 3, 13, 17, 163, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, -22, -87, -208, -403, -690, -1087?\n\"Answer: -3*t**3 - t**2 - 3*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1837 = 5*a - 555, 2*a = 4*u - 5038. Let g = 1809 - u. What are the prime factors of g?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 38\/133)\/(-2 - (-96)\/42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42561, -42573, -42585, -42597, -42609, -42621?\nAnswer: -42633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/59576 and -57\/238304.\nAnswer: 238304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 381060989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008818378 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 44, 4, 0.2?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {s: 5, b: 2, z: 1, h: 1, x: 1, q: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4816715 = v. Let o = v - 1678867. Let s = o - -3515524. What is s rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11032322231 (base 4) to base 15\nAnswer: -1c16eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) 5 (c) 1\/3 (d) -2\/5 (e) -2287 (f) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -185*j - 931. Let f be a(-14). Calculate the highest common divisor of f and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 30. Let j be (-3 - -1) + 0 - 3. Let h = -8 + 5. Sort j, h, a in ascending order.\nAnswer: j, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 4*b + 9. Let w be y(-5). Suppose 0 = w*a - 10*a - 260. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579 divided by 2?\nAnswer: 579\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -4, 1\/3, 0.6, -6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 54 - 46)*(-m + 0*m - m)*(25*m - 7*m**2 - 25*m).\nAnswer: -840*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3143 divided by 6.\nAnswer: -3143\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-30))\/(4\/(-6)). Let o(h) = -2*h**3 + 0 - 2 + 3. Let n be o(c). Solve -n*i - i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/(c\/c**(-1\/3)))\/c)*c)**(7\/8)*(c\/(c\/(c**2\/c)))\/c*c**(-4) assuming c is positive.\nAnswer: c**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023031 (base 6) in base 9?\nAnswer: -75421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1642579 divided by 11.\nAnswer: -1642579\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(1*(0 + -1)). Suppose -n = -o*n + 20. Calculate the remainder when 18 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + p**2 + (-10 - 2 + 7)*(2*p**2 + 3*p**2 - 3*p**2).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -1)*(-98)\/126?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 0*t**2 + 1\/6*t**3 - 12*t + 0. Let l(a) = 4*a**2. Calculate n(l(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, e: 4, k: 4, z: 3, w: 2, g: 1}. What is prob of picking 1 x, 1 w, and 1 g?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(18)*-1)*2 - -1*sqrt(288))\/(-3*-1*sqrt(144)) + 1.\nAnswer: sqrt(2)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 42175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**4*f*((f\/f**(-2\/3))\/f)\/f*f*f**4\/(f*f**(-2\/17)) assuming f is positive.\nAnswer: f**(91\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-4 - -7 - 5)*(-19890)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 4*f**3 - 31\/2*f**2 - 12 - 1\/4*f**4 + 3*f. Let w be k(6). What is the highest common factor of w and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004704804 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.03224 rounded to 1 dp?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54388279*b + 12 = -54388280*b + t, -2*b = -t + 22 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/8)\/(5\/16*4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-134)\/(-3))\/1 + -2. Let s = 43 - q. Is 0 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22702 (base 16) to base 5\nAnswer: 14003213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -14\/3, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 2, 2*p - u + 14 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/357)\/(10\/28)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39737*t**4 - 39747*t**4 - 2 + 4 - 2 + 40*t**2 - 8*t**3 + 2*t**5 = 0 for t.\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -8*w**3\/3 + 1. Let j(n) = n**3 + n**2 - n - 1. Let d be j(-1). Suppose d = -2*y - 0*y + 2. Determine l(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4799434 to the power of 1\/2, to the nearest integer?\nAnswer: 2191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(4 - 4 + 4)*(-15*g + 5*g + 2*g).\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*w + 26*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z - 33*z = -8959 - 5801. Calculate the remainder when z is divided by 61.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079138 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9069 rounded to 2 dps?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 170404 (base 8) in base 5?\nAnswer: 3433300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -12. Let v be 4 - (-3 - (0 - u)). Suppose 0*q - 102 = -5*y + q, 0 = 5*y + v*q - 120. Solve 5*l + a = y, -5*l - 5*a + 3 = -22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eegoolgoetggokk. Give prob of sequence tklo.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*u + 4*s, 0 = -5*s + 19 + 1. Suppose 119 - 5 = u*i. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2248 (base 16) to base 11\nAnswer: -6659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-78)\/12 - (-12)\/8. Let x(t) = -7*t**2 - 13*t + 9. Let n(k) = -3*k**2 - 6*k + 4. Let g(w) = 5*n(w) - 2*x(w). Calculate g(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12 + (-57)\/4 + -4)\/(990\/(-4455)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 + 267?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 47*d + 11. Let r be u(7). What is r rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794*b - 1295*b + 12840 = -20584 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/1159192 and -17\/88.\nAnswer: 12751112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -216, -157, -2\/21, 5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10798.62834 rounded to the nearest 100?\nAnswer: -10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 + 1)\/(44\/690). Let l = -4717\/44 - n. Calculate the common denominator of 1\/6 + (-326)\/30 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121618 = 2*b + y, -21*y = -b - 26*y + 60845. List the prime factors of b.\nAnswer: 5, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5395871 - 0.4.\nAnswer: 5395870.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 - 2*w - 6. Let f(t) = 3*t**2 + 2*t + 5. Suppose 5*k = 160*u - 163*u - 24, 0 = -5*k + 5*u - 40. What is k*f(v) - 5*h(v)?\nAnswer: 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318*y + 1080*y - 17158 - 19081 = -6521. Suppose -5*x = -0*x + 5. Calculate the remainder when 1*150 + (-1)\/x is divided by y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - (-225)\/27)*1*3. Let l = q - 75. What is l rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grzgrigigzgirzgerg. What is prob of picking 3 r and 1 e?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*a*j**3*y**2 + 2*a*j**3*y + 2*a*j*y**2 + a*y - 3*j*y + j wrt y?\nAnswer: 132*a*j**3 + 4*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -442 (c) 1\/2 (d) 44.5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f - 15. Let h(d) be the first derivative of -3*d**2\/2 + 8*d - 15. Give -11*h(m) - 6*l(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 3:57 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 818915723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 7:40 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35038 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1929 by 18095.\nAnswer: 1929\/18095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 81605491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 6 - 0) + -4 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 326027753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 640576 and 39715712?\nAnswer: 39715712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -106760 (base 14) to base 11\nAnswer: -34a5a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 8. Let x(o) = o**3 + 8*o**2 + 6*o - 7. Let h be x(a). Let n(g) = h*g - 4*g + 5 - 6 + g. Calculate n(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2954681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 + -1.92. Let y = n - -6. Which is the nearest to y? (a) -5 (b) 1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6106*y - 6713*y - 41286*y.\nAnswer: -54105*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-798))\/(-15*(-30)\/950)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 341975508 by -669228.\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(4*(sqrt(320) - (-2 + sqrt(320))) + 2)**2 + -5.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - -5*sqrt(119)*-4)\/(sqrt(35)\/(sqrt(25)\/sqrt(5))))**2 + 0.\nAnswer: 6137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juujuuhjjjujjuhuuj. What is prob of sequence hj?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -20 + (-2 - -1) + 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-1 + 3)\/(-2). Let a = 5\/4 + -23\/12. What is the smallest value in f, a, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -48. Solve -10 = -4*j + h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4235.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 444 - k - 441 - 6*k - 12*k**3 to j + v*k + i*k**3 + g*k**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 17858*a - 195928. What is l(11)?\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 3790?\nAnswer: -1\/3790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1943*n**2 + 44666*n - 45. Determine t(23).\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**3 - 8*a**3 - 5*a**3)*(-4 + 1 + 2 + (-4 + 3 - 1)*(2 - 1 - 3 + (35 - 19 + 17)*(-4 + 0 + 3))).\nAnswer: -552*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*u + 38, -i - 18 = 5*u - 0. What is the tens digit of i + -3 + 119 - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 22*l**3 - 3*l**2 + 2*l. Let a be p(2). Let g = a + -164. Suppose -7*t + 3*t + 37 = b, 2*t + 2*b = 26. Solve -h = -t*q + 3*q, -g*h - 19 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2 + 279385*c + 18435054 = 0?\nAnswer: -279319, -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59109660 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3\/7 + (-5)\/35\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -86, -3, -2, 0 in decreasing order.\nAnswer: 5, 0, -2, -3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84000*t*y**3 - t*y**2 + 12941*t*y + 23*y**3 - 6493*y wrt y.\nAnswer: -504000*t*y - 2*t + 138*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 13 - (19 - (-45 - -39))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -11\/6*j**3 - 41\/42*j**7 - 3\/2*j**2 + 0*j**5 + 0*j**4 + 0*j**6 - 1 + 3*j. What is the second derivative of p(l) wrt l?\nAnswer: -820*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Let h(b) = b**2 - 2*b - 3. Let z be h(-2). What is the least common multiple of 8\/z*10\/4 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*g - g = -30, -32 = 2*y + 5*g. Let q = -288\/11 - y. What is the third smallest value in -2\/15, -2, q?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*h - 2, 3*w + 5 = 5*h. Which is the second biggest value? (a) -0.5 (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 1)*8\/(-6)*(-282)\/(-752).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -26. Calculate the greatest common divisor of j and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5 + 1\/5*b**3 + 0*b**2 - 3\/5*b.\nAnswer: (b - 1)**2*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 8. Let n = -564 - -567. Sort 4, n, a.\nAnswer: a, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a millimeter in micrometers?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.639411 + 0.594899\nAnswer: -2.044512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 9:19 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161122.\nAnswer: 2, 13, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.74 - 85.14. Let o = c - -1.4. Let p = -75.0000091 - o. What is p rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 68\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from iniimmiyymkmy?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/120 - 17*h**5\/60 + 3*h**4\/4 - 23*h**3\/6 - h**2. Let a be s(16). Let m(p) = -2*p + 21. What is the units digit of m(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-9 - (-11 + 19)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4 - 277578*d**3 + 555140*d**2 + 1110312*d - 2220592 = 0. Calculate d.\nAnswer: -2, 2, 138787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 0)*2\/10. Let l = -20385 - -20379. Which is the third biggest value? (a) l (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-6 - -7) + -2 - -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 + 391*t**2 - 569*t - 2520. Let r be b(194). Factor 1\/5*d**3 + 483\/5*d + 529\/5 - 9*d**r.\nAnswer: (d - 23)**2*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 12 + 8. Suppose -d + 0*b + q = 3*b, 2*b + 10 = 0. Let m be -4*d*(102500 + 0). What is m rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/26 + (-20)\/130. Let z(l) = -2 - 7*l - 8*l + 13*l + 15. Let o be z(i). What is the highest common factor of 104 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**2 + 1767092*s + 1767096 = 0.\nAnswer: -1, 441774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059545325?\nAnswer: 3, 5, 14127271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 21\/1648 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 189590 + -407490. What is s rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -24, 5, 0 in decreasing order.\nAnswer: 56, 5, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 141, 776, 2487, 5808, 11273, 19416?\n\"Answer: 89*f**3 + 4*f**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19117a89 - 1?\nAnswer: -19117a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5717*y + 28582. What is m(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:20 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 6*k**2 - 14*k + 0 + 77\/4*k**4 + 147\/20*k**5 + 16*k**3. Suppose f(q) = 0. Calculate q.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27108.33 micrometers in nanometers?\nAnswer: 27108330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -23*t**2 + 2130*t + 14929. Give i(-7).\nAnswer: -1108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005164 to six dps.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 41*t**3 - 20*t**2 + 32*t - 14. Let j(g) = -16*g**3 + 7*g**2 - 11*g + 5. Give -17*j(r) - 6*k(r).\nAnswer: 26*r**3 + r**2 - 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvppluttvlpluylp. Give prob of picking 1 y, 1 p, and 1 v.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 3:36 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27703 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0804206541 - 0.3\nAnswer: -0.2195793459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**3 + 85*p**2 + 192*p - 41. Calculate a(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(200)*5)\/(-2*sqrt(160) + sqrt(10) + sqrt(10) + sqrt(10)))\/(5*(sqrt(360) - ((sqrt(360) - -1*sqrt(360))*-2 + sqrt(360)))).\nAnswer: -sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 382 - -1?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (115\/69)\/((-1)\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1182247200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (19932\/(-110))\/((-4)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30, -49, -78, -117, -166?\n\"Answer: -5*n**2 - 4*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 198, 1\/19, -2\/7 in ascending order.\nAnswer: -1, -2\/7, 1\/19, 1, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 29 = 5*v + 4, 2*v = -3*q + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4 = 3*g + 17, 5*j = g + 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1080\/19 - -2597\/38. Let u(o) be the first derivative of 21 + s*o**2 - 3*o. What is the derivative of u(z) wrt z?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 7*b**2 + 5*b + 1. Let r be y(6). Let c(p) = -p**3 - 6*p**2 - 6*p + 1. Is 5 a factor of c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -145*f + 360 wrt f.\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - i = -126. What is the remainder when (-24)\/i*3*-3 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 483 = 4*j. Suppose 6*k - j - 279 = 0. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 312.9999943 - 313. Round a to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2))**(2\/17)\/((b\/b**14)\/(b\/b**(-4\/7))))**3 assuming b is positive.\nAnswer: b**(5181\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/((g*g\/g**18*g)\/g*g*g))\/g)\/g)\/((g**(-3\/16)*g*g)\/g) assuming g is positive.\nAnswer: g**(211\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4252, 17135, 38620, 68719, 107444, 154807, 210820, 275495?\nAnswer: 348844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-24)\/(-16)) - (5 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*c = 40*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-21))\/((-3)\/(-21)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44793 and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 2 + -3 - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 2:50 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9091506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 173*q + 25. Let o(d) = -1. Let x(m) = -2*o(m) + r(m). Suppose 99 = -4*b + 115. Is x(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-9)*1*13*(-28)\/(-728).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4809955 + -4090045. What is g rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42274.9 - -42275. Let i = 25.8 - 23. Which is the smallest value? (a) y (b) i (c) 1\/3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35337 + -6451. Suppose 0 = 18*g - z + 7250. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(((k**(-30)*k*k)\/k)\/k)\/k*((k\/(k*k**(-31)\/k)*k*k)\/k)\/k*k)\/(k\/(k*k**(-46)\/k)*k**(-11\/5)\/k) assuming k is positive.\nAnswer: k**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, j: 1, r: 2}. Give prob of sequence rgg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4 + 196*k**3 - 6978*k**2 + 106624*k - 591872 = 0. What is k?\nAnswer: 17, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511500.\nAnswer: 2, 5, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 15 + 13)*(464*g**2 - 144*g**2 + 787*g**2 - 57*g**2 + 67*g**2).\nAnswer: -4468*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*k + 2, 4*k - v + 3*v = 16. Let q be ((-4)\/12)\/((-2)\/24). Let s(p) = p + 0*p + k*p - q. Calculate s(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + d**2 + 1. Let c(i) = -7*i**3 - 7*i**2 - 3*i - 12. Let o(l) = -c(l) - v(l). Is o(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-9)*(-4)\/((-8)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**4 + 160*p**3 + 6965*p**2 + 57080*p + 113280 = 0.\nAnswer: -16, -8, -3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10101?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -49 - 76. Suppose 2*w + 3*w - d = 0. Suppose -8 = -w*f - 2*q - 3, -3*q + 15 = 0. What is the smallest value in f, 2, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 21*t**2 - 459*t + 613. What is x(11)?\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/24 and -127\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 3:30 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13074 (base 9) to base 4.\nAnswer: -2021233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164304 by 48.\nAnswer: 3423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/4 + 11\/(-22). Find the third derivative of -h**4 + 3*h - a*h - 14*h**2 - 20*h**4 wrt h.\nAnswer: -504*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 6*o + 102. Suppose 3*w = -3*x + 57, -3*w + 3*x + 0*x = -o. Let h be 8\/(-6)*(-27)\/w. Solve 2*g = -h - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (357\/28)\/((-2)\/(-8)). Suppose v*o = 47*o + 208. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*x = -4*w, -3*w + 3 = 3*x. Suppose -4*p + 612 = w*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + x + 18. Let v be l(-11). Let n = v + -123. Solve o = -10 + n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 93327479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 3 - ((-14 - 3) + 20)) + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14791422 by 5.\nAnswer: -14791422\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -696 (base 10) in base 3?\nAnswer: -221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*q - 2365 = -2*z, -5*z + 3*q + 3938 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*440\/12650?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 - 10604*b**2 + 10600*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 699 = -3*s, 3*b = -0*s - 5*s - 1173. Let f = -129 - s. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 4*m + m)*(8*m**3 + 2 - 6*m**3 - 2*m**2 - 5*m**2).\nAnswer: 2*m**4 - 7*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**3\/7 + 5500*v**2\/7 + 1893372*v\/7 + 1887876\/7 = 0.\nAnswer: -687, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (-28 + (-2 + -7 - -21)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**2 + 2. Let o(a) = -5*a**2 + 1. Suppose i + 5*j = 4, 5*j = 4*i + 2*j - 16. Let s(c) = i*l(c) - 5*o(c). Differentiate s(x) with respect to x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 8) to base 3.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 18 = 2*p. Let o be (-243)\/(6\/(36\/p)). Calculate the highest common divisor of 27 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408575 is divided by 304?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (-12 - -12 - -14 - 17 - 6).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (16 - 11) + 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:26 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u**2 + 53235 - 51463 + 2*u)*(1 - 1 - 2*u).\nAnswer: 4*u**3 - 2*u**2 - 3544*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((42\/49)\/6)\/(-8*5\/(-1400))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 14*b + 24. Determine t(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 160633 (b) 5 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 - 2*j**2 - 1. Let q = -9 + 11. Let t be h(q). What is the highest common factor of t and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*z = 270, -8*h + 750 = -3*h - 5*z. Let r = 75 - -21. What is the lowest common multiple of r and h?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 23.2. Let y = -13564447.1999937 - -13564441. Let t = y - g. Round t to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p**3 + 580*p**2 + 1208*p + 240 = 0. Calculate p.\nAnswer: -30, -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-72))\/(995\/796).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 3*s**2 - 2*s + 4. Let p be x(-3). Suppose -p = -2*h, k = 6*h - h - 10. Suppose -k = -2*j + 17. What is the remainder when j is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 3a8?\nAnswer: -3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3864, -3853, -3816, -3741, -3616, -3429, -3168?\nAnswer: -2821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -438 divided by -138\nAnswer: 73\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y = -52*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 216, 900, 2032, 3606, 5616?\n\"Answer: -c**3 + 230*c**2 + c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56145 is divided by 367.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -46*y**3 + 13*y**2 - 4*y. Let i(j) = 46*j**3 - 12*j**2 + 5*j. What is 4*i(v) + 5*r(v)?\nAnswer: -46*v**3 + 17*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -13*k**4 - 7*k**3 + 7*k**2 + 13. Let w(x) = -4*x**4 - 2*x**3 + 2*x**2 + 4. Let o(s) = 4*r(s) - 14*w(s). What is the first derivative of o(j) wrt j?\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 6. Let l be q(4). Let o(r) = r - 3. Let i be o(4). Solve -l*t - i = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**4\/24 - w**2 - 16. Let l(y) = -16*y - 7. Let g(s) = -b(s) + l(s). Let u(z) = -9*z - 4. What is 6*g(m) - 11*u(m)?\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1720 minus -0.0848?\nAnswer: -1719.9152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -98, 1.34, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*(-66)\/(-176)*(-24)\/27.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1905, 2218, 3055, 4674, 7333, 11290?\nAnswer: 16803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 6. Let q be b(-5). Let z = q + -12. Find the common denominator of (-2)\/z - (-305)\/80 and -83\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/25 - 45\/(-250). Is -1 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -5, -1310*o - 3*z = -1308*o - 0*z - 141 + 26 for o.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7 - 2 - 2*v + 21*v - v**2 - 19*v. Determine h(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-4)\/8*1). Let f(y) be the first derivative of y**4\/4 + 4*y**3\/3 + 2*y - 204. Let c be f(m). Solve 3*u = u + c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46849172134 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 92 + 82. Suppose -7*f + l*f = -15. What is the units digit of 81*((-2)\/(-3) + f\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305 = 6*s + 311 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1372) + 0 + 4 - (3 + (sqrt(1372) + -6*(sqrt(1372) - sqrt(1372)*-5))**2).\nAnswer: -1680704 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 2*y + 2. Let o be g(-4). Suppose 2*f = -5*w + 84 - o, -15 = 5*f. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-1 + -36 - (-89 + 159 - 80))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-3 - -5 - 0\/(-4)). Solve -o*d + d = -15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - g + 176 = 204 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198960 and 37920.\nAnswer: 31435680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-2 - -4) - 1. Let s = 4 - 2. Suppose -p = -v + 4, 2*p + 19 = v - s*p. Put c, v, -3 in descending order.\nAnswer: v, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3094 = 105*w + 38*w - 24*w for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 3 + 1)*(21 - 3*c - 21)*(-1 + 2 - 3) in the form a + v*c and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*p - 64*p = -12831 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1707, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -424.0685 + 0.0685. Let b = g + 426.929. Let j = 0.071 + b. Which is smaller: -7 or j?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -809, 4, 1, -38 in descending order.\nAnswer: 4, 1, 0, -38, -809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 60. Let z(m) = -9*m - 3. Calculate the smallest common multiple of 3 and z(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/60 + a**4\/6 - a**2 + 55. What is q(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 13*y**2 + 59*y + 13. Let f be s(-5). What is the highest common factor of 189 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -209*m**3 - m**2 + 49*m - 35. Let p be c(15). Round p to the nearest ten thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11564 + -1313360?\nAnswer: -1301463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4063.82 to the nearest integer.\nAnswer: -4064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1055089 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-eight sevenths of a week?\nAnswer: 69120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (-3*sqrt(136) + sqrt(136))\/sqrt(8) - sqrt(85)\/sqrt(5)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8953.47 microseconds to hours.\nAnswer: 0.000002487075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15380 (base 15) to base 13.\nAnswer: -25116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(102))\/sqrt(6).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*12\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*n = -35, -i - 27 = 2*n + 3*n. What is the lowest common multiple of ((-36)\/14)\/(i\/14) and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(2 + sqrt(539) + 4) + 5)**2*-4.\nAnswer: -39120 - 7616*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(65)\/sqrt(5) - sqrt(13))*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01779 to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -18.81, -2, 0, 0.06 in ascending order.\nAnswer: -18.81, -2, 0, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 10*r**2 + 10*r + 4. Let m be c(11). Let o = m + 7. Suppose -7 = j - 4*k, o = -4*j + 2*j - k - 14. Let a(b) = b + 12. Determine a(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206091, 206579, 207093, 207645, 208247?\nAnswer: 208911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.057 and -0.1.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 - 333846*w - 3671941. Give v(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 12:04 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.08917 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 169 - 15599 = 0. Suppose -9*n + c = 291. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87614 plus -0.6?\nAnswer: -87614.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -386, -881, -1586, -2507?\nAnswer: -3650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2957 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 26*x + 121. What is j(-31)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*v**2 - 26*v + 12*v + 14*v + 42*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*y + y + 4, 2*y - 9 = -3*a. Suppose -6 + 24 = y*s. Let i = 25 - s. What is the remainder when 56 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/595 (b) -3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97947882.\nAnswer: 2, 3, 89, 61141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11534 (base 14) to base 7\nAnswer: -233664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 23*a**3 + 2*a**2 - 1. Let o be m(1). Suppose -3*h + 10 = 2*n + 2*h, 5*h = -3*n + 5. Let j = n + 11. Calculate the greatest common divisor of o and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67136?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3300.\nAnswer: 1\/825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyky when four letters picked without replacement from {m: 9, e: 2, k: 3, y: 5}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v**2 + 10*v - 5*v**2 - 30*v**3 + 5*v**4 + v**5 + 4*v**5 + 15*v**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2687 and 36.\nAnswer: -2651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -46. Suppose 2*r + 10 = g*r. Find the third derivative of 300 - 300 + 13*k**3 - 7*k**r wrt k.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -5) + -4 + -5 + (3 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 330\/17*o**2 - 32\/17 + 730\/17*o**3 + 422\/17*o**4 - 52\/17*o + 42\/17*o**5 = 0?\nAnswer: -8, -1, -1\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020 + 12?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-266)\/18 - 40\/180. Calculate the common denominator of (-382)\/(-90) - 3\/z*1 and -20\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*w - 81, 0 = 5*v + 73 - 98. What is the highest common factor of 1304 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 563 (b) 10 (c) -18\/5 (d) 1 (e) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 284.2 + -302.2. Put 4, m, -6\/5 in decreasing order.\nAnswer: 4, -6\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 2)*(p + 2 - 2) + 3*p + 5*p + 4*p + p - p - 2*p to g*p + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23579 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 24*z**2 - 2831*z - 124. Calculate r(118).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + -5 + 2 - 1. Let h be 4 - -2*200\/5. What is the greatest common divisor of h and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 - 96.6. Let z = 534.697 + -535. Let t = -0.097 + z. Which is the third smallest value? (a) -4 (b) w (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 27 + 38 = -5*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(3\/7)\/a)\/a)**(-2\/125))**2 assuming a is positive.\nAnswer: a**(44\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(1 + -5 - -3). Let r(n) = n + x*n + 3*n - 3*n. Let c(l) = 1691*l**2 + 1677*l**2 - 3300*l**2. Give c(r(o)).\nAnswer: 68*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 1, l: 1, r: 1, y: 2, x: 1}. What is prob of picking 1 i, 1 x, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66859, 66551, 66037, 65317, 64391, 63259?\nAnswer: 61921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -14\/3*i**3 - 11\/4*i**4 + 0*i**2 - 5 + 0*i. What is the third derivative of n(o) wrt o?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152.9999818 + 153. Round g to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4202000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 966835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let s be (-110)\/(-33) - (-4)\/(-3). Let m(o) be the third derivative of 0*o + 0*o**3 + 2*o**s + 1\/60*o**5 + 0*o**4 + 0. Determine m(d(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4039478640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9257, 89, 2\/7 in increasing order.\nAnswer: -9257, 2\/7, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 60 + 3*k - 3*k**3 - 59 - 5*k. Let i(l) = 3*l**2 + 2*l - 2. Let a(c) = -c**2. Let j(q) = 2*a(q) + i(q). Let x be j(-3). What is w(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -13 - (3 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 2 = 23*w. Let h be -1 - w - (-4 - -8)\/(-4). Let x be 0*(h - 0 - (-1 - 1)). Solve -c + 2*c = x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - j = -g, 673*g - 676*g = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 877079689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 9. Let i be r(7). Suppose -i*h = 5*h - 11081. What are the prime factors of h?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64 - 6*g**3 - 12*g**2 - 64 wrt g.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000111111111101 - -10?\nAnswer: 1010000111111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47597?\nAnswer: 11, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91 - -33) + (142 - 179).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131637 + 39687 = 3678*n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 147*j - 139*j. Which is the nearest to 5? (a) j (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/24)\/(6\/(-16)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 12*v + 16*v + 11*v. Let j(u) = -1173*u**2 + 2352*u**2 - 1177*u**2. What is j(c(z))?\nAnswer: 3042*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003596038 to 5 dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -0.1, 4.3, -1 in decreasing order.\nAnswer: 5, 4.3, 2, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 75 (base 12) to base 15\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25788 is divided by 537.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 40*c + 18. Calculate k(18).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8000*w**3 - w**2 - 6*w + 40. Suppose 0 = -3*q - 20 - 10. Let z be g(q). What is z rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 3\/((-9)\/(-3621)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323) - (sqrt(1323) + 0 + sqrt(1323) - sqrt(1323))**2) + 3*3*sqrt(27).\nAnswer: -1323 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1340 - 1337. Solve -5*h = g + 18, 0 = g - 3*h + m - 17 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10*m**2 + 1338*m - 375. Calculate g(-134).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 5*c**2 + 290*c + 1705. Calculate t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, z: 3, g: 2, w: 3, y: 3, s: 2}. What is prob of sequence ygzs?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**6\/120 - w**5\/5 + 11*w**4\/24 + 5*w**3\/6 + w**2\/2 + w. Let h(x) be the first derivative of f(x). Let y be h(11). Is 4 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12248612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -2 + (-4371)\/(-2445). Let s = -278\/17 + 45348\/2771. Let q = d + s. What is the nearest to 2 in 1, 0.4, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:49 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((0 + 0 - -2) + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 799080 divided by 30.\nAnswer: 26636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 4. Suppose -p - 3 = 2*g, p + 9 = -3*g - 2*p. Suppose g*u = -3*u - 30. Is z(u) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*t = 705*t - 5738 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*g**2 + 4*g**4 - 16*g**2 + (0*g**3 + g**3 + 0*g**3)*(-80*g - 16520 + 16520).\nAnswer: -76*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.45 - 2.05. What is the nearest to 3.6 in g, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -92\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1784 is divided by 44?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/208 and -115\/24?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(3\/1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 2*d**2 - 3*d + 4. Let f be l(3). Let c(j) = -2*j + j + 5 + 3*j. Let b(g) = g + 2. Give f*c(u) - 9*b(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2424*x - 2421*x = 91104. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z + 24 = -14*k + 24*z, -5*k - 24 = -3*z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 274, 600, 1064, 1672, 2430?\nAnswer: 3344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -192.\nAnswer: -5\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 13*r + 57. Let y be h(-17). Suppose 22*o - 19*o = y. List the prime factors of o.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 1)\/(-2) + -4. Let s be (-1)\/(-27)*72\/16. Let q be 0 + -2*(-6)\/27. Which is the second smallest value? (a) s (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*s**3 - 5728 + 5728 - s + 3*s**4 as d*s + l*s**2 + g*s**3 + t*s**4 + r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1506, -6016, -13532, -24054, -37582?\n\"Answer: -1503*m**2 - m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**4\/12 - 23*d**2. Let i(t) = -8*t. Give h(i(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 14\/11 (c) -2\/1701 (d) 0.57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77040 is divided by 38488?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213 + -11243142210?\nAnswer: -11243141442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 6:46 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 1, 5*c + 0*c = -5*v. Suppose y - 2 = v. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -9, 0, 25, -36, 2 in descending order.\nAnswer: 25, 2, 0, -8, -9, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 10:41 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3)\/(1\/24). Let f(a) = 3*a**2 + 39*a - 18. Let t(i) = -i**2 - 20*i + 9. Let m(y) = -2*f(y) - 5*t(y). Does 34 divide m(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-36)\/(-2) + -16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43049895?\nAnswer: 3, 5, 7, 409999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (55\/(-30) + 1)*9\/(-5). What is the nearest to 1 in -0.2, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 104*h**2 + 11*h + 22. What is the units digit of y(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7256 is divided by 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1 - 1)*1)\/((-18)\/27). Let o = 16 - 9. Solve -c - b*y + 1 + o = 0, 2*c + 5*y - 15 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11671886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -47\/40*w**6 + 43\/8*w**4 + 0*w + 0*w**5 + 0*w**3 + 0 + 301*w**2 - 1\/210*w**7. What is the second derivative of b(x) wrt x?\nAnswer: -12*x**2 - 846*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010110210101 (base 3) to base 16\nAnswer: -92707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 7. Let t = 4 + -7. Let x be 10\/t - (-8)\/(-12). Which is bigger: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 plus 33.62?\nAnswer: 33.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*f**2 - 2812*f + 520 = 0.\nAnswer: -65\/6, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - 3*s**3 + 2*s**3)*(4874 - 1500 + 3192 + 1750 - 1325).\nAnswer: -6991*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -1. Let i = x + 4. Let k be (3\/6)\/(i\/20). Which is the closest to -1? (a) -0.3 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/20*55\/297*-78?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.00769 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*s = 26*s + 101*s + 956. Which is the closest to 0.1? (a) 4 (b) s (c) 0 (d) -64.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/976455 and 149\/270.\nAnswer: 1952910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 289*r + 918 = 292*r, -517 = 5*u - 4*r for u.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 4\/5, 53, 0.1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -22596*v**2. Let l(a) = a**2. Determine j(l(m)).\nAnswer: -22596*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 5*x + 5. Let o(k) = -k. Let a(g) = -d(g) - 6*o(g). Let y(j) = -9*j**3 + 1. Let t be y(-1). What is the lowest common multiple of 5 and a(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 8*m**2 + 9*m + 2. Let p be t(-9). Let s = 2 + p. Is ((-75)\/6)\/((-2)\/s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19822 + 19824. Let c(g) = g**2 - 7*g + 8. Let h be c(6). Solve 0 = -z*r + 6 - h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1069*w + 23 = 1072*w + 2*u, -3*u = 4*w - 32 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -3 - (12 + -20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100100100 (base 2) to base 15\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z + 5*z)*(2 + 0 + 1)*(1 - 6 + 4).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - r + 11. Calculate v(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/5 + (4 - -7). Suppose 6*l = -c*l + 104. Let x be (12\/(-5) + 2)*2. What is the third smallest value in l, -1\/2, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**3 + m**2 + 4*m + 6. Let o(h) = -3*h**3 - h**2 - 3*h - 5. What is -4*l(r) - 5*o(r)?\nAnswer: -r**3 + r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-650)\/(-15))\/(-26) + (2\/3 - 1). Let k be 5\/(-3 + 4\/2). Are y and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 422, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**3 - 3*m - 1. Let h(f) = -7*f**3 + 5*f + 1. Let b = 25 - 28. What is b*h(i) - 5*q(i)?\nAnswer: i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 1)*(4*i - 4*i - i)*(-3*i**2 + 10*i**2 + 14*i**2).\nAnswer: 126*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165386 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (440\/15)\/8 + -3. Let z = -1365 - -1377. Which is the nearest to 0.1? (a) z (b) -8 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 344.08387485751 - -4.33068542049. Let n = -0.414389278 + p. Let b = n - 348. Round b to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256253 and 9215.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 5*w - 1. Let m = 5 + -2. Let v(k) be the third derivative of -k**4\/24 + 3*k**2. Let q = 25375 + -25374. What is m*v(r) + q*l(r)?\nAnswer: -r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -5. Let x = b - -1.7. Let v = 5 - 4. What is the nearest to v in x, -2, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 17 + 2*g**3 + 22*g**2 - 4*g**3 to u*g**2 + l*g + o + t*g**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3230 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 21*j + 373. What is the remainder when 101 is divided by f(32)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, m: 10}. Give prob of picking 3 r and 1 m.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2.3. Let f = -64.3 + 64.1. Which is the biggest value? (a) k (b) f (c) -0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 + 82. Suppose 4*h + 18 = 3*o, -3*o - 4 = 4*h + 2. Suppose 2 = -o*q, -3*m + 7*m + q - 31 = 0. What is the highest common factor of x and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(-1 - -4)*(122 - 25098)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195 * 21.987\nAnswer: -4287.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and -0.14807.\nAnswer: -2.07298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360 by 72.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4936 and 104?\nAnswer: 64168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0 + 0*o + 167*o**2 + 1\/80*o**6 - 11\/20*o**5 - 47\/16*o**4 - 6*o**3. Factor w(b).\nAnswer: 3*(b - 24)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*r + 13. Suppose m - 4*w = 19, -m = m - r*w - 18. Solve 8 = -c - 2*y, 0 = -4*c + m*y - 3 - 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -111 + 206?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 170*t + 164*t + 4 + 2 - 2*t - 2 + (-2*t - 3*t + 4*t)*(2 - 2 + 2))*(3*t - 5*t - 4 + 3).\nAnswer: 20*t**2 + 20*t + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8363.5 rounded to the nearest 100?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49181765 and 6885.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4 + 0*x**2 + 3*x + 1 + 2*x**2. Let z(t) = -2*t**3 - 9*t**2 + 24*t + 108. Let d be z(-4). Calculate the remainder when 48 is divided by l(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.09, -21534, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7 = a, 0 = 3*a + 5*x + 3 + 8. Let s(q) = q - 5*q**2 + 6 + 2*q**a + q**3 - 4*q**3. Let l = -13 + 8. What is s(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 652, 653, 654, 655?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g - 3*g. Is 7 a factor of (g + (-4 - -3))*-7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 33. Let k(s) = 9*s - 4. Let r(b) = -125*b + 55. Determine l*r(m) - 55*k(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006519434701 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - ((-531)\/7)\/(-9). What is the nearest to -0.1 in 5, -4, -1\/4, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/5*(-558)\/216.\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/6*(1 - 4). Suppose 4*m = v*y + m - 132, 4*y - 171 = -m. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2*1\/18). Let g be 3*(-3)\/k + 0. Let y(a) = g + a - 1. Let d(j) = 2*j**2. Give d(y(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 12*d - 26. Calculate a(12).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 18 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-312) - 4669\/(-37352).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67889 is divided by 146?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26, 51, 108, 209, 366?\n\"Answer: 2*c**3 + 4*c**2 - c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1369706500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d - 8 - 25*d + 8 + 36*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3696*v - 11 = i + 3700*v, 5*v + 16 = -i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -100*d - 57. Let s(m) = -100*m - 57. Let f(z) = -2*i(z) + 3*s(z). What is the derivative of f(k) wrt k?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 6152.\nAnswer: -7\/3076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -17*p. Suppose 0 = -5*z + u + 22, 0 = -4*z + 994*u - 989*u + 26. Let v be (-1 + 0)\/(1\/(-9)). Let g(k) = 8*k. Determine v*g(t) + z*l(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - a - 6 - 14, -5*a = 2*u - 8. Sort 6, 0, 2\/23, u in decreasing order.\nAnswer: 6, u, 2\/23, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24908 divided by -581\nAnswer: 24908\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = i + u, i + 3*u + 7 + 50 = 0. Let q = 143 + i. Calculate the greatest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -982*s*t + 48050*s + 211*t + 3 wrt t?\nAnswer: -982*s + 211","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*v + 8. Let a = 55 - 51. Solve -5*s**v + s**3 + 2*s**2 + s**2 + 5*s - a*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.834134 millilitres?\nAnswer: 0.000834134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*y + 826 = 133 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3476 and 12.\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 4*c + 32. Suppose -4*i - 2*p = -14, 2*i + p = -2*p + 1. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.21 (c) -1\/205 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 1 (b) 2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1428*v + 108. Let c be j(6). Calculate the least common multiple of 204 and c\/(-658) - (-6)\/14*-2.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 3*q - 297. Let y be (-30)\/4*(-12)\/(-15). Let t = y + 12. What is the remainder when q is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdhdmfssdmhsmssmsj. What is prob of picking 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20637 divided by 5\nAnswer: -20637\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-27))\/(770\/231)*188\/(-6)*-3.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (120\/80)\/((-2)\/(-4)). Let c(n) be the first derivative of -x*n**3 - 2*n + 11\/2*n**2 + 19. Let c(w) = 0. Calculate w.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 16 = -4*p, 2*n + 5*p = -3*n + 20. Solve 0 = -n*y - 5*y + k + 2, 2*y + k - 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-58)\/(-6) + (-4)\/6. Suppose 0 = -4*l + i + 7. Let p be -1*(2 - l - 0). Solve p*j = -6 - 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26583 = 11*k - 13*k + 4437. Is 192 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o**2 - o + 1. Suppose 3100 = 371*j - 61*j. Calculate the remainder when w(1) is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, h: 1, n: 2, r: 1}. What is prob of sequence vnrh?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 265 and 1446110.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:26 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -21 - (9 + (1 - 12)) - 98.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 3*u**2 - u + 2. Let f be b(0). Suppose -p + f*m - 100 = -5*p, -p = -2*m - 35. What is the greatest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1217308 to 3 dps.\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2. Let j(q) = 9*q - 26. Let l(x) = 6*x - 17. Let f(s) = 5*j(s) - 7*l(s). Let g be f(5). Let t(y) = 2 - y + g - 6. Determine t(b(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = -16*d - 6. Suppose 4*p - 113 = 151. Let c be p\/14 + 4\/14. Solve -2*g = d*g - c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3 - s**3 + 4 + 45*s**3. Let l be v(1). Find q such that -l*q**5 - 5*q**2 - 75*q**4 - 39*q**3 - q**2 - 3*q**4 = 0.\nAnswer: -1, -2\/5, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = r + 6*q - 7, 5*r + 3*q = -5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -514*q**2 + 527*q**2 + 843*q**2 + 1115*q**2 - 35*q**2 - 9*q in the form y*q + z + g*q**2 and give g.\nAnswer: 1936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 939971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2332 + -3422023?\nAnswer: -3414141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 143260\/780 + 4\/6*-1. Calculate the greatest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 10 + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -204, -5, -14, 0.\nAnswer: -204, -50, -14, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6842.\nAnswer: 2, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242684?\nAnswer: 2, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.4 from 22.1.\nAnswer: 19.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -161*p**3 + 2*p**2 - 4*p + 2. Give n(1).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 3)*(13*b - 11*b + 12*b) - b + 3*b + 0*b in the form u*b + c and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 5*x**2 + 6*x - 6. Let o(c) = c**2 - 14*c + 7. Let j be o(13). Calculate p(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - 7) + -4 + 44\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 19 + p - 26 + 3*p. What is the tens digit of u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1 - 57*p**2 - 5*p + 3 - 2*p**3 + 60*p**2. Let n be k(2). Let g be 2\/n - 78\/(-15). Solve 19 = -g*l + 5*x + 4, -x - 1 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23581 is divided by 3420.\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 44. Let b = -0.9 + -0.1. What is the third biggest value in 5, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + 3*z - 1. Let m be t(2). Let n(q) = 3*q**2 - q. Is n(m) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (12\/14)\/3 + (-34 - 15981\/(-147)) and 450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -660*i - 3956. Let m be o(-6). What is the second smallest value in -2\/11, -4, 0.3, m, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, -16, -47, -80, -109?\n\"Answer: f**3 - 10*f**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66815.008 rounded to the nearest ten?\nAnswer: 66820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (354*v - 534*v - 151*v)*(-3*v**2 + 6*v**2 - 2*v**2) + (3*v - 2*v**2 - 3*v)*(-v - 1 + 1) + 4*v**3 - 3*v**3 - 2*v**3.\nAnswer: -330*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-21) - (-4)\/14. Solve 16*s + 45 - 4*s**q - 23 - 38 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2999*y - 1. Let c(r) = 15000*r - 5. Let h(z) = 2*c(z) - 11*o(z). Let w(x) = -x. Give h(w(q)).\nAnswer: 2989*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 16 + -22 + 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 0*s - 6 + s - 2*s. Let b(f) = f**3 - 8*f**2 - 9*f + 3. Let x be b(9). Suppose 4*h + 2 = -5*l + 5, 12 = -h + x*l. Calculate i(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/32 - -1)*(-12)\/(-10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2401892?\nAnswer: 2, 37, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**5 + 66*v**3 + 5309*v**2 wrt v.\nAnswer: -60*v**2 + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 10)*(-6 - 1 - 2)*(-3 - 2*r + 3)*(-5*r - 3*r + 4*r)*(2*r - 3*r - r).\nAnswer: -1440*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6286.\nAnswer: 2, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z - 5 - 7 + 1 + 8 to the form d*z + i and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58784 and 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z + 5. Let k(i) = 5*i + 4. Let w(y) = 4*j(y) - 5*k(y). Let o(v) be the third derivative of -v**4\/8 - v**2. Calculate o(w(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 - 2*s**2 + 11*s + 15. What are the prime factors of m(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 3*t**2 + 116*t + 337. Calculate f(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - -52. What is the highest common divisor of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**5\/20 - 5*k**4\/12 + k**3 + 7*k**2\/2 - k. Let z = -199 - -242. Let n be (-10)\/(-70) - z\/7. Determine t(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - 70.052. Let z = -0.047 - x. What is z rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -215398?\nAnswer: -43079.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1104)\/60 - ((-560)\/25)\/(-14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1920.801 centuries to years.\nAnswer: 192080.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((3 - 7) + 6)*16. Let i be d\/18 - (-2)\/9. Find the third derivative of 10*z**3 + 10*z**i + 15*z**3 - 32*z**3 wrt z.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6960?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58088.\nAnswer: 2, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19266?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -11*z + 17. Let u(y) = -y + 1. Let x(c) = 4*c - 3. Let j(p) = -6*u(p) - x(p). Let t(b) = -6*g(b) - 34*j(b). Calculate t(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4472894 is divided by 42.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -92.8?\nAnswer: -94.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 28 = 0, -18 = -3*u - 3*l + 27 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*0.5.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 7*v - 4. Let m be a(7). Let p(o) = -o**3 - 6*o**2 - 2. Let y be p(m). Let g = y - -69. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -92*a + 96*a + j, 4*j - 7 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 - 14*q + 6. Let o(n) = 7 - 15*n + 6*n - 3 - 2*n**2 + 0*n**2. Let a(d) = 4*d + 1. Let z be a(3). Let w = z - 18. Determine w*h(m) + 8*o(m).\nAnswer: -m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.258967 micrograms to milligrams.\nAnswer: 0.006258967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -5*k + 3, -3*k + 1 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.1, 1\/85, -0.2, -0.7 in ascending order.\nAnswer: -0.7, -0.4, -0.2, 1\/85, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/32 and -71\/913472.\nAnswer: 913472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 44?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 15*t**2 - 13*t - 4. Let m be h(-14). Let q be (-5)\/(-30) + (-23037)\/m. Suppose -313 = -f - 2*a - a, -2*a - q = -4*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 + 108 = 5*g. Suppose -g = 4*y - 186. Suppose -2*f + y = -0*f. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8923291 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*w + 38 - 962 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13943 + -138.47943. Let y = k + 136. Round y to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*t - 5 = 28, -3*t = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 277 - 269. Solve 7*y - o = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 3 = -3*r. Is (r - (-276)\/4) + 0 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 11*l + 76 = 0. What is the lowest common multiple of l and 2?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 695, 1396, 2109, 2840, 3595, 4380?\nAnswer: 5201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.96 (b) 5 (c) 9\/17 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 4, 3, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, 5, 29.8, 2 in decreasing order.\nAnswer: 29.8, 5, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170 and 9?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -19 - (-27 + 31)) + -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*v + 3. Let u(x) = 4*x - 5. Let b be u(v). Suppose b*f = 4*f. Solve 4*a + a + 5 = f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 90, 136, 182?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925943 - 4?\nAnswer: 1925939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4857010, 4857011, 4857012?\nAnswer: 4857013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 38 - 33 = 0. Put d, -0.2, -6\/5 in decreasing order.\nAnswer: -0.2, -6\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfalxnlfnxnlnl. What is prob of picking 1 n and 1 l?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40c94 (base 15) in base 6?\nAnswer: 4222351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 14. Let i be h(-7). Let c be (-1)\/(-1) - 28\/i. Let p(g) = -g + 4. Calculate p(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3933000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/1)\/(((-280440)\/(-144))\/(-41)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {r: 2, v: 1, c: 3, w: 1, u: 3, i: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2869516?\nAnswer: 2, 13, 139, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 50205897 divided by -9\nAnswer: -5578433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71625 is divided by 628.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -5, 6, 2, 5.\nAnswer: -5, 0, 2, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 88?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 divided by -14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -4\/7, -4, 0, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(12\/(-3))\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -3. Let k(w) = 26*w - 27. Let b be k(-3). Let q = b - -111. Solve -q*u + u - x = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587063703 to the power of 1\/3, to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**3 + 15*v**3 + 46*v**3 + (v**2 + 2*v**2 - 4*v**2)*(1 - 1 - v) + (2*v - 4*v + 0*v)*(0 - 3*v**2 + 0) + 0*v**3 + 2*v**3 - 5*v**3.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0, -12\/5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t**3 + 10*t**2 + 14*t + 4. Let b be c(-1). Let u be 3 + (2 - 0 - 2). Let l be (3 + -2)*(-1 - -1). Put l, u, b in descending order.\nAnswer: b, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 0. Let x = w - 0.3. Let v = 82.9 + -81.9. What is the nearest to v in 0, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 526 - 434. Suppose h = 4*v + 3*x, -5*x = -5*v + 31 + 84. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**11\/q**(4\/3)*(q**3)**(40\/7) assuming q is positive.\nAnswer: q**(563\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(2*sqrt(10)))\/(-2*sqrt(12)) + ((sqrt(56) + (sqrt(392)*-2 + sqrt(392))\/sqrt(7))\/(sqrt(8) - 1*sqrt(8)*2))**2.\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1388*n**3 - 538*n**3 - 9703*n**3 - 451*n**3.\nAnswer: -12080*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from xlxxxllxlxlxxlvxlxlx?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, 19, 28, 29, 16, -17?\n\"Answer: -m**3 + 5*m**2 + 3*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45421, 45452, 45483, 45514, 45545?\nAnswer: 45576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f - 17 + 0*f - 13*f to the form y*f + n and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5. Suppose -10 = -p - d*p. Calculate the common denominator of 34\/3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3897 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 182\/105)*(1 - 6). Which is the third biggest value? (a) 0 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.75 minus 30?\nAnswer: -39.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 485204 and 845504?\nAnswer: 4804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.988 to 0 dps.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, 48, -4, -61 in decreasing order.\nAnswer: 48, 7, 1, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -f + 306 + 48, -y + 74 = f. Calculate the greatest common factor of y and 1295.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/13429 or 0?\nAnswer: 2\/13429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3*g = -62 + 47, 5 = -3*f + g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51696, -206778, -465250, -827112, -1292364, -1861006, -2533038?\nAnswer: -3308460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -5 (c) 7 (d) 1\/4 (e) 19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/7, -1\/10, 0 in ascending order.\nAnswer: -1\/10, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05824 - -13.5770541242.\nAnswer: 13.5188141242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i + 27. Let x be o(-12). Let y be (1*-4)\/(-2 + 112\/x). Solve -3*c = 4*n + y, 6*n + 5*c + 22 = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -5194, 1\/2?\nAnswer: -5194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25265541 + -4?\nAnswer: -25265545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -14*g + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*o - 29*o + 30. Is 9\/5 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**4*p**2 + 1356980*g**2*j*p**3 - 129*g*j + 861*g*p**2 - 2*p**3 wrt g.\nAnswer: 24*g**2*p**2 + 2713960*j*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2872)\/(-14))\/((-5)\/(-105)*6) is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (546\/308)\/(-13)*128\/(-32)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 15*r - 7. Let y(d) = 2*d**2 - 29*d - 14. Let h(b) = -11*o(b) + 6*y(b). Let p be h(10). What is the highest common factor of 9 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 838*u**3 + 4*u**2 - 45*u - 1. Let t(y) = 836*y**3 + 3*y**2 - 45*y - 1. Let j(h) = -4*t(h) + 3*v(h). Find the second derivative of j(b) wrt b.\nAnswer: -4980*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/197 greater than or equal to 12374\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**11*j*j**10)\/(j**(-3)*j)**(-4\/5))**(8\/13) assuming j is positive.\nAnswer: j**(896\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**5\/20 - 3*g**4\/4 + g**3\/6 - 2*g**2 - 48*g. Let s = 190 + -199. What is c(s)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*w**5*z**3 + 155*w**4*z**3 - w*z**3 - 1338*z**3 wrt w?\nAnswer: -80*w**3*z**3 + 1860*w**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775125.\nAnswer: 3, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 39*n**2 - 72*n - 82. Determine l(37).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**7\/56 - i**6\/30 + i**5\/20 + i**4\/8 - i**3\/24 - i**2\/4 - 6*i. Let l(s) = 0. What is s?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2233424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*q**3 - 441*q**3 + 158*q**3 + 137*q**3 - 4*q - 18*q**2 to the form g*q + y + v*q**3 + s*q**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.61*178.\nAnswer: 2244.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*b**3 - 230*b**2 + 8*b = 0 for b.\nAnswer: -4, 0, 1\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13223011320 (base 4) to base 10\nAnswer: -2011512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -27. Suppose -z*t - h + 2751 = 0, 2*t = h - 233 + 1332. What is t rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10*n - 27 = 9*n, m - 5*n = -15. Sort 1, m, 73, -2, 0.\nAnswer: m, -2, 0, 1, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - g - 1. Let m(t) = -9*t**2 - 8*t + 27. Let k(v) = m(v) + 5*y(v). Let x be k(11). Solve -5*p - 4*u + 7 = x, -2 = u - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4361 + 4420 - 8922 - 5*l.\nAnswer: -5*l - 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -162*d**2. Let h(f) = 3*f. Calculate h(r(t)).\nAnswer: -486*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1022235 to the nearest 1000.\nAnswer: 1022000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -18371478.\nAnswer: 1\/9185739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.262 + -0.138. Sort f, -1\/2, 2\/5 in descending order.\nAnswer: 2\/5, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -395356843, -790713683, -1186070523, -1581427363?\n\"Answer: -395356840*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 6:02 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*p + 3496 = -29*p. What is the tens digit of ((p\/(-6))\/(-1))\/(2\/258)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 986?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 10*j**2 + 54*j + 181. Let z be x(-6). Let q(s) = 4 + s + 33*s**2 - 4. Determine q(z).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6034537.\nAnswer: 6034537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4405*d**2 + 4396*d**2 - 8802*d**2 - 298*d**5 + (3*d**2 + 2*d**3 - 3*d**2)*(3*d**2 - 5*d**2 - 2*d**2).\nAnswer: -306*d**5 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r**3 + 2*r**3 + 2*r - 3*r**3)*(1 - 5 + 5 + (4 + 0 - 2)*(2 - 4 + 3)).\nAnswer: 21*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3093*h - 3098*h = -5*p - 50, -4*p + 5 = -h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87551477?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/6*27\/36. Suppose -4*h = -y*x + 8, 2*x + h + 0*h = 13. Let k(s) = 9 - x + 5*s - 3. Let m(i) = 3*i. Give k(m(l)).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122175480*d**3 + 228091801*d**2 wrt d.\nAnswer: -733052880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-3)\/((-6)\/(-148)). Let g = -27 - y. Let c = -687 - -699. What is the remainder when g is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 6 + 22. Calculate the smallest common multiple of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*b + 27*b - 23328. What is the remainder when b is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*i = -170, -3 = -2*i - 13. Factor -46 - 89 + 169*m + 4*m**2 - r*m - m**2.\nAnswer: 3*(m - 1)*(m + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -234*h**3 - 11*h**2 - 11*h + 189. Let k(w) = -47*w**3 - 2*w**2 - 2*w + 38. Let u(n) = -11*k(n) + 2*t(n). Differentiate u(r) wrt r.\nAnswer: 147*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 673*d - 35. Let g be p(-5). Round g to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83448 and 2745.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 53\/2, 2.9, -6\/17 in decreasing order.\nAnswer: 53\/2, 2.9, -6\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 63*a**3 + a**2 - 8*a + 4. Let g be h(4). Suppose -g = -12*f - 0*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.251, -14.875, 1\/2?\nAnswer: -0.251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 8:18 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(39)\/sqrt(3) + 5.\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewww when four letters picked without replacement from wwweeew?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-7))\/(30\/(-3150)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5\/3 - 38150*d**4\/3 + 185517166*d**3\/3 - 34069982914*d**2\/3 + 22280702848*d + 33699215592 = 0.\nAnswer: -1, 3, 189, 9442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 3*w**2 + 10. Suppose -5*b + 0*b + 2*h = -13, -11 = -5*b + 4*h. Calculate the remainder when 28 is divided by q(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2223)\/777 - (110\/(-30) - (-2)\/3) and 37\/70.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 37\/166 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 - (-376)\/141. Let g = 55 + -51. Let x be (-2)\/(-4) - (-21)\/(-6). Which is the closest to x? (a) -3 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29797769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - (-1945)\/(-48) - (-84)\/36?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3057960 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244556*d + 122460*d + 122445*d - 4.\nAnswer: 349*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4.1, -16, -1\/5, 5, -1.4, 4, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 204*l**5 + 5919*l**4 + 53790*l**3 + 530295*l**2\/4 - 189669*l - 11271\/4 = 0.\nAnswer: -13, -17\/2, -1\/68, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -105*k**2 + 75*k. Let h(z) = 26*z**2 - 19*z. Let g(t) = -9*h(t) - 2*q(t). Find the second derivative of g(v) wrt v.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 363200 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 3. Let b be o(3). Suppose 3 = q + 4*v + 21, 2*q + 4*v = -16. Solve -2*y = q*h - y - 5, -5*h + y + 9 = b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 0*s**5 + 0*s + 1 + 0*s**3 - 1\/6*s**6 - 5\/2*s**2 + 0*s**4. What is the second derivative of x(r) wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**5 + 7*q**4 + 6*q**3 - 2*q**2 - 3*q - 5. Let t(b) = b**4 + b**3 - 1. Let v(w) = -i(w) + 4*t(w). Factor v(g).\nAnswer: -(g - 1)*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) + sqrt(280)*2)*4)\/(-5*sqrt(30)\/sqrt(3) - sqrt(10)) + ((4*(sqrt(98)\/sqrt(2))\/sqrt(7))**2 - sqrt(63)\/(2*sqrt(1296))).\nAnswer: -97*sqrt(7)\/24 + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 + 7*t + 19. Let n(f) = f**3 + 3*f + 10. Calculate -3*l(b) + 7*n(b).\nAnswer: b**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -29541.66 and 29447274.\nAnswer: 29417732.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by -2288.\nAnswer: -81\/1144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136 + -256. What is the remainder when 36 is divided by 3\/(w\/(-38) - 3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 161036 or 161035?\nAnswer: 161036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (8 - (2 + 1 + 2 - 3))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -4 (b) -413.3 (c) 9.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjzwwcccwz. What is prob of sequence wwz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -1684*j**5\/5 - j**4\/6 + 11*j**3 + 7027*j. Find the third derivative of w(q) wrt q.\nAnswer: -40416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856713 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -148 * -1\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -352239 (base 10) to base 7.\nAnswer: -2664636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 270 - 242.7. Let x = 30 - k. Let t = -2.6 + x. What is the nearest to t in 3\/4, -1, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1695 - -1.1695. Which is the smallest value? (a) 2\/5 (b) v (c) 10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/18 and -37\/216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6275 + 3665. Let w = m + 2610.4142. Let k = w - 0.41. Round k to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59117 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*p = 237, 5*r - 3*p - 47 = 250. Calculate the greatest common divisor of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 - -97. What is the second biggest value in 75, -5\/6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m. Let r(d) = -90*d + 2. Give n(r(x)).\nAnswer: 90*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 + 3*w**2 - 9*w + 6. Is 18 a factor of m(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 235045*a**2 + 13811655528*a - 13811420484.\nAnswer: (a - 117522)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2280 and 620520.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z + 15. What is the remainder when 29 is divided by h(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 + 4*d**3 + 0*d**3 + (4 + 0 - 3)*(-2 + 2 + d**3) + 2*d**3 - 3 + 3 + d**3 + 2*d**3 - 2*d**3 + 147 + 85*d**3 - 196*d**3 + 115*d**3.\nAnswer: 9*d**3 + 147","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -2) + 1 + 2 + -12?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 1169883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2. Let y(n) = 75*n**2 - n. Determine y(l(h)).\nAnswer: 300*h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39066 - 39066. Sort 1, -0.5, t, 2893 in ascending order.\nAnswer: -0.5, t, 1, 2893","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.164009512 to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, k: 1, u: 1, h: 1, n: 1}. Give prob of sequence ukno.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -8*g**5 + 30*g**4 + 224*g**3 + 358*g**2 + 204*g + 32 = 0.\nAnswer: -2, -1, -1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1 - -3 - -1) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**2 - m - 10. Determine n(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8003617409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.8 in 12\/11, 191, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqpuupppuuppquqpupq. What is prob of sequence uq?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 - 6*z + 4. Give x(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 34 = -0*o + 3*u, -122 = -3*o + 4*u. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 33020658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**25*f*f*f**(4\/21)*f*f assuming f is positive.\nAnswer: f**(613\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 + 73*t**2 - 69*t + 23. Is 115 a factor of h(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 18*l**2 - 3*l - 3. Calculate the remainder when 52 is divided by u(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3516, -3517, -3518, -3519, -3520?\nAnswer: -3521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 9:30 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1468*f**3*s**2*u**2 - 2*f**3 + 2*f**2*s**2 - 870*f**2 - u**2 + u wrt f?\nAnswer: 8808*s**2*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5 + 844*w**4 + 105002*w**3 + 3367560*w**2 + 31840200*w = 0. Calculate w.\nAnswer: -190, -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) - (-2*sqrt(119) - sqrt(119))*3))\/(sqrt(847)*1 + sqrt(7)) + 4.\nAnswer: -3*sqrt(17)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-4 + (2 - 986) + 3). Let a = -971 + u. Solve 5*r + 3*x = -23, 4*r + a = -r + 3*x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28631 is divided by 3983?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362079 is divided by 59872?\nAnswer: 2847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 43 = 137. Suppose 0 = -3*v - 14 + 98. Suppose -5*w - v = -5*x - 2*w, 3*x - f = -3*w. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(576)\/(sqrt(12) + sqrt(12)*1)*-2*4 - (sqrt(363)\/(sqrt(11)*-1))\/(sqrt(11) + (sqrt(88) - (-1*sqrt(88) + sqrt(88)) - sqrt(88))\/sqrt(8)).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -25 from 167647293.\nAnswer: 167647318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a**5 + 237*a**3 - 3*a**5 - 183*a**3 - 12*a**4 + 3*a**4.\nAnswer: -3*a**3*(a - 3)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 2618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10434 and 1110?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20995, -41997, -62999?\nAnswer: -84001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*d**3 + 2*d*y - 2753984*d - 26844704*y wrt d?\nAnswer: -15*d**2 + 2*y - 2753984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (-1 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.00781t to grams.\nAnswer: 7810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-2)\/3 - 0) + (-40 - 45645\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -43, -65, -89, -115, -143?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*i = -12, 5*v - 17 = -5*i + 33. Suppose 1874 = p - 4*c, -5*p - v*c + 8*c = -9475. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 2*f**2 + 2*f**2 + f**2 - 4*f**2 + 2*f**2 - f**2 + f - f + (f + 2*f - f)*(-3*f - f + 2*f) - 2*f**2 - 2*f**2 + 3*f**2)*(-2*f**3 + f**3 + 2*f**3).\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/103 in 2\/11, -2, 2\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*l**3 - 7318*l + 2 + 0 + 7276*l to o*l**3 + g*l**2 + x*l + y and give o.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7895.9 + 7235. What is z rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**3 - 31*o**5 - o**4 - 6*o**4 + 5*o + 29*o**5. Let s(z) = z**5 + 3*z**4 - 2*z**3 - 2*z. Let g(t) = 3*d(t) + 7*s(t). Suppose g(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + 119\/(-24))*(3 - 2). Let y(c) be the third derivative of -4*c**2 + 0*c - s*c**3 - 1\/240*c**5 - 1\/48*c**4 + 0. What is n in y(n) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12008\/40 + 180\/(-150). Suppose -3*x + 5*x = -k + 27, 0 = k - 3*x - 17. Calculate the greatest common divisor of k and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -2.1. Let w = 80.1 - 80. Let v = w - 0.2. Which is the biggest value? (a) 0.5 (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41896.3166*0.3.\nAnswer: 12568.89498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 94 - 78?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 + 5*r**2 - 5*r + 44. Let z(k) = -k**2 + k - 1. Determine -f(s) - 5*z(s).\nAnswer: -2*s**3 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -15824?\nAnswer: 15820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*p = 0, -4*a + p = 3*p - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1596 = 353*r - 437*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13354 + 13385. Which is the closest to -1\/3? (a) -1\/9 (b) m (c) 0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gccg when four letters picked without replacement from scccgzscsczg?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 9:06 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(153) + (1*sqrt(153) - sqrt(153)) + -3 - sqrt(153)))*-4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*389)\/(16 - (-8787)\/(-551)). What is the highest common factor of 57 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 227.3 (c) 2\/3 (d) 5\/6 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-40) - 254\/(-10). Let q be 72\/(-39) + (-4)\/k. Let f(d) = d**2 - 14*d - 16. Let i be f(15). Sort 5, i, q in ascending order.\nAnswer: q, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*48\/40*(-12)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33985402 and 954.\nAnswer: 305868618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 - 89. Calculate the remainder when 25 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1379542881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64526091.\nAnswer: 3, 7, 438953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 + 1098*q + 4863. What is m(-270)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396605 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112221010 (base 3) in base 5?\nAnswer: 1434232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2347, 2276, 2205, 2134, 2063?\nAnswer: 1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**8\/5880 + k**7\/1470 - k**5\/210 + k**4\/84 - 5*k**3\/2 + 31*k**2. Let p(d) be the first derivative of t(d). Factor p(v).\nAnswer: -2*(v - 1)**3*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/(-3))\/(18\/27). Suppose g*n + 75 = 2*n - 5*p, 4*p - 24 = 3*n. Let x be -6*(10\/(-4) + n + 14). Solve j = x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2 - 7692*i - 23112 = 0. What is i?\nAnswer: -3, 1926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -11*a + 7. Let d(v) = -10*v + 5. Give -6*d(f) + 5*r(f).\nAnswer: 5*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 5\/2, 5, 2, 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 27 - 27. Let f(k) be the third derivative of 29*k**5\/60 + k**3\/6 + 39*k**2 - 2*k. Give f(d(j)).\nAnswer: 116*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4 - 14*o**3 + 47*o**2 + 14*o - 48 = 0 for o.\nAnswer: -1, 1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12095*k**2 + 30 - 12095*k**2 - 17 + 21 - 34 - 9*k**3.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2338?\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 13, -1, 0.1, -632, 0.3?\nAnswer: -632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - z**2 - z + 1. Let f be n(1). Is 2 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-249)\/(-1992))\/(18\/12)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 4*a - 9 = 0. Suppose -a*h = -8*h + 1165. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 235 + 109. Solve 45 - v = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 7:39 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x - 3. Calculate j(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/5 + 24\/40. Let b be (12\/64)\/((-3)\/(-4)). Solve 1\/4*y + 1\/4*y**2 - 1\/4*y**g + 0 - b*y**4 = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -541 - -469. Let a be (w\/(-108))\/((-4)\/(-198)). Solve 0 = -4*j - 3*r + 31, 0*j - a = -2*j - 5*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = u. Suppose -3*f + 2*f + 3*c = -25, 57 = 5*f + 2*c. Calculate the remainder when u\/(-14) + 528\/14 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 0 = 4*i. Suppose -k = i*d + 13, d - 5*k = 5*d + 23. Do 0 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4 + -1*1*(sqrt(833) + 1)*4)*6)**2.\nAnswer: -2399040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*r**2 - 69*r**2 + 215*r**2 - 71*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(1\/3))\/(r*r\/(r**(1\/8)\/r)))\/(r**(1\/3)\/(r\/r**(-6))))**(-2\/7) assuming r is positive.\nAnswer: r**(-107\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5 + 32*t**4\/3 - 14*t**3 - 8*t**2\/3 + 8*t = 0. What is t?\nAnswer: -2\/3, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-1*sqrt(190)*4 - sqrt(190)) + (sqrt(190) + (sqrt(190) - sqrt(190)*3))*-6)\/((-5*sqrt(1440)*2 - sqrt(1440))*-6))**2.\nAnswer: 19\/17424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-7))\/(1\/(-49)). Suppose 2*g = 5*m + 19, 12 + u = 3*g + m. Suppose 5*d = -g + 47. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -61 + 61 + m**2. Let c(f) = -f**2 + 3*f - 3. Let l(z) = -c(z) - 3*x(z). Let d = 358 + -361. Give l(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at least as big as 1.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 11200021231112?\nAnswer: -11200021231121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(77))\/sqrt(7) + (-4 + sqrt(44)\/sqrt(4) - sqrt(110)\/sqrt(160)) - (-1*sqrt(121)*2)\/(sqrt(11) + (-2*sqrt(66))\/sqrt(6)).\nAnswer: -4 + 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-91)\/(-320)*3 - (-1)\/10 and -95\/112.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-170) + 669678\/1905360. Factor -9\/8*v + 3\/4*v**3 + 3\/4*v**2 + z*v**5 + 3\/8 - 9\/8*v**4.\nAnswer: 3*(v - 1)**4*(v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {k: 3, c: 6, f: 5, l: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3870*u - 10120 + 10120 as x + s*u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2 + 1821577*k + 1821578 = 0.\nAnswer: -1, 1821578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.85 (b) -139 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 10 + (13 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8312583 - 2*m - 4156334 - 4156249.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*w + o - 0*o, -w = -3*o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 10) to base 13\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**8)*g\/(g\/g**(-7\/6)*g)*g\/(g\/g**(-1)*g)*g**(-1\/3))**(-1\/5) assuming g is positive.\nAnswer: g**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*y + 8 = -10, 0 = 3*z - 2*y - 2. Suppose -z*m = -99 - 39. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -293 divided by 117\nAnswer: -293\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1143*o - 65 = -1130*o. Let t = 4 - 6. Which is the biggest value? (a) -1\/2 (b) t (c) 0.5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 135 = 3*s. Let o be 4\/(-14) - 20\/(-70). Suppose o = g + 2*v + 2*v - s, 5*v = 3*g - 13. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165596160 divided by -30?\nAnswer: 5519872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -29. Let c(y) = -6*y + 356. Let j be c(58). What is the highest common factor of j and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, m: 5}. Give prob of picking 2 m and 2 r.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**2 - 15 + 15)*(117*c + 9*c + 11*c) + 3*c - 2*c - 2*c**3 + 0*c - c**3 - 2*c**3 + c**3.\nAnswer: 818*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 0 + -3 + -1 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -565920 divided by -720.\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12752, -12743, -12734, -12725, -12716, -12707?\n\"Answer: 9*w - 12761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9373 - -1.3373. Sort l, 2\/17, 0.33, 0.31 in descending order.\nAnswer: l, 0.33, 0.31, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(78)*1 - sqrt(78)))\/(sqrt(60)\/(sqrt(10)*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -113, -1 in descending order.\nAnswer: 9, -1, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 73? (a) -231 (b) -0.5 (c) 3\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160)*1)\/(sqrt(5) - (sqrt(500) - sqrt(500)*-3) - sqrt(5)).\nAnswer: -3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - o**3 + 2*o**2 + 3*o**3 - 10 as g*o**3 + y + z*o**2 + h*o and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13*a**2 + 3 - 3. Let s(d) be the first derivative of -3*d**2\/2 + 2233. What is s(o(w))?\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.60794982 to three decimal places.\nAnswer: 0.608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + 94. Let f = 143 - k. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*q**4\/2 - 17240*q**3 + 5937452*q**2 + 4758240*q + 952200 = 0. What is q?\nAnswer: -2\/5, 690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15333.\nAnswer: 3, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 22*u + 27. Let g(c) = -11*c - 13. Let d(l) = 13*g(l) + 6*h(l). Let a be d(-8). Suppose 0*q + a = -9*q. Round q to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 - 5307324996517.\nAnswer: -5307324996544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5306 divide 318871724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7510.7 + -7512. What is the fifth biggest value in i, -39, -3, -0.2, 0.3?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13487323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55.835 + -56. Let t = -0.212 + 0.3. Let o = v + t. What is o rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 3. Let v be 544\/204*(17\/84 + (-6)\/21). Sort 1\/6, k, v in decreasing order.\nAnswer: k, 1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/39 (b) 79328 (c) -2 (d) 4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 2. Let m(o) = o + 6. Let b be m(-4). Let r(q) = 9. Let k(p) = -3. Let w(y) = -4*k(y) - r(y). Determine b*w(z) - 3*x(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1935 - 1064. Suppose q - 256 = 5*d. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y = -34824 + 39180 for y.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -24645, 5, 3791 in decreasing order.\nAnswer: 3791, 5, -24645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7372*i - 324 = 3692*i + 3653*i. Let b be (21\/28)\/((-1)\/48). Let l be 1\/(-2) - b\/8. What is the greatest common factor of l and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**4\/5 + 91188*o**3\/5 + 456016*o**2\/5 + 547248*o\/5 = 0.\nAnswer: -3, -2, 0, 22802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjg when three letters picked without replacement from {l: 5, g: 4, j: 8}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 12:52 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14916, 29834, 44752, 59670?\nAnswer: 74588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1174732 and 17508025?\nAnswer: 910417300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18*(6\/(-3))\/(1*-6). What is the derivative of -30*i - 19*i - 47*i - b*i + 11 wrt i?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2698 and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 52 = -8*h. Let a = 62 - h. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22889905 to the power of 1\/2, to the nearest integer?\nAnswer: 4784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 + 56*y**2 + 38*y + 30. Determine d(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 58?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 943502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 2. Let f be s(-2). What is the third derivative of -12*k**4 + 12*k**4 + 2*k**f - k**2 wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-27) - (-11 + (-1078)\/(-99)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9902, 23606, 37308, 51008, 64706, 78402, 92096?\nAnswer: 105788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5746.786 - -5747. Let o = -32.66 + 33. Let s = o - i. What is s rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6258496763.\nAnswer: 6258496763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z - 2363 = 1282. What is the smallest common multiple of z and 36?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/3)\/10*22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26784, -26785, -26786, -26787?\nAnswer: -26788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239 + 185.7. Let c = y + 53.8. What is the closest to 0 in c, 3\/5, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 267*m**4 - 130*m.\nAnswer: 3204*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -21 (b) -1.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/(-12))\/((-4)\/6). Let u(k) = -5*k + 10. Let z be u(r). Let h = 14 + z. What is the smallest common multiple of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*o - 29*o + 156. Calculate the highest common divisor of o and 546.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j*q**3 + 736*j*q**2 - 2047*j - 50*q**4 + 1837*q wrt q?\nAnswer: -6*j*q + 1472*j - 600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*q - 9. Let d be q\/1*(-8)\/(-16). Solve 11 = d*f - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74c (base 15) to base 16.\nAnswer: 66f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -45. What is the third biggest value in -0.5, -4, l, 0.27?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10368*t + 206308 = 683236 for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**8\/336 + j**6\/24 - j**5\/12 + 11*j**3\/3 + 11*j. Let i(a) be the second derivative of c(a). Suppose i(s) = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1236278174?\nAnswer: 2, 89, 1201, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-4)*210*220\/57750?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-10))\/(1\/(-5)). Suppose -z*w - w + 9 = 0. Suppose -3*y = -s + 1, y + w = -2*y + 3*s. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1508 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 30 = 14*b. What is the lowest common multiple of b and 22?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85.7 + -86. What is x rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24755?\nAnswer: 5, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 5:09 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/117316 and -57\/2110.\nAnswer: 586580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43404 is divided by 434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*t**5*u**2 - 9077*t**4*u - 125*t*u**2 + 8*t*u + 4 wrt t.\nAnswer: 260*t**3*u**2 - 108924*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -4 (c) 19613 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by 132.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 263892308*r**3*y**3 - r**3*y - 2*y**3 - 51539*y**2 + 224*y wrt r?\nAnswer: 791676924*r**2*y**3 - 3*r**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 988 > 1045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38311935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 2 + 22)*(p + p + 0*p) - 9 - p + 9 - 2*p + 2*p - 2*p + (-2*p + 0*p + p)*(-3 + 2 + 2) - p + 0 + 0.\nAnswer: 83*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4322 by -1.\nAnswer: 4322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*d + 2. What is s in -11*s**d + 45*s**2 - 20*s + 2 + 16*s**2 = 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.763961 rounded to 1 decimal place?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Let f = 1 + -3. Let o = f + d. What is the second biggest value in 3, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*n + 3862 + 6358 = -581 + 505 for n.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3716)\/(-48)*4*(5 - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(500) - sqrt(500)) + (sqrt(80)*2 + sqrt(80))\/sqrt(4))\/((2*sqrt(90)*4)\/sqrt(9)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + -8 + 5 + 0 + -4 - (-51 + 59).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4*c = -y + 351, 0 = 3*c + 2*y - 212. Suppose -c = 13*o - 15*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6831 divided by 9\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2250254us in seconds?\nAnswer: 0.0000002250254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times -2279?\nAnswer: 66091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16012824*x**2 + 124494896 wrt x.\nAnswer: -32025648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(12))**2*3 - (sqrt(3) + sqrt(3) + 0)**2*-1).\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**2*a))\/a*a*a**(-3\/7)\/a*a\/(a**(-1\/2)\/a)*a*a\/(a\/a**(-2\/9)*a)*a)\/(a**(-3)\/(a\/((a*a\/(a\/a**(1\/4)))\/a)))**40 assuming a is positive.\nAnswer: a**(18755\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = -3*c, -1 = c - 0*w - w. Let d(b) be the first derivative of b**4\/4 + b**3\/3 - b**2\/2 + 8*b - 187. Let p be d(c). Solve 0 = h + h - p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1740979, -13 in ascending order.\nAnswer: -1740979, -13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlqq when four letters picked without replacement from {q: 9, l: 2}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/72 and 29\/234?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9)*z*z)\/z**(1\/5) assuming z is positive.\nAnswer: z**(71\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -490*m**3*y + 2*m**3 - m**2*y - 153*m**2 wrt m?\nAnswer: -2940*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-14 + 11*s + 14)*(-2*s - s - 2*s) + (-2*s - 4*s + 3*s)*(0*s + s + s + 1))*(9*s - 39 + 39).\nAnswer: -549*s**3 - 27*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**3\/3 + 2. Let k = -2 - -4. Let p(v) = 0*v**k + v**2 + 2*v**2. Determine f(p(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 978441 + -978069.9637. Let m = 371 - c. Let g = m + 0.03629677. Round g to seven decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n = -1605 + 1339 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/6 - (-195529)\/28614?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h**2 - 102*h + 21. Let r be y(-13). Let k = r + -167. Let g be (1\/(-12))\/((-9)\/(-24)). Which is the closest to -0.1? (a) k (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -10 - 2) + 0 + (27 - 3)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1309324*i**5 + 216*i**2 + 103.\nAnswer: 78559440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - 63. Let d(y) = 8*y + 1. What is d(v(a))?\nAnswer: 16*a - 503","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*sqrt(14)\/(-1*sqrt(847)).\nAnswer: -8*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -2\/9, 2\/5, 1 in decreasing order.\nAnswer: 1, 3\/4, 2\/5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.91 rounded to 1 decimal place?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12183107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4547 = -f + 2860, -3*t - 4*f = -11128. What is the smallest common multiple of t and 16?\nAnswer: 14800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z**3\/19 - 1122*z**2\/19 + 11588*z\/19 + 1170\/19 = 0. Calculate z.\nAnswer: -65, -1\/10, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = 14*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 21, -1431, 11, 4, -8.\nAnswer: -1431, -8, -1, 4, 11, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2057) + 0)*-5 + 3 - ((-1 + 3 + sqrt(2057))**2 - (3 + sqrt(2057))**2*4).\nAnswer: 495*sqrt(17) + 6206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*f + 45 = -0*f, -4*f = 3*m - 27. Let o = 60 + -52. What is the smallest common multiple of o and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18193 is divided by 520?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1)*(32\/8)\/(-4). Let o(u) = u**2 + 2*u + 2. Determine o(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74319995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 43*y**2 - 30. Let t(o) = o. Give t(k(m)).\nAnswer: 86*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 15866.\nAnswer: 3\/7933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(539)*4 + 0 - (-3 + sqrt(539) + -1)).\nAnswer: 16 + 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 9*d - 27*d + 6*d in the form q*d + c and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332138435.\nAnswer: 5, 17, 59, 103, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 795798 and 1107?\nAnswer: 32627718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 53\/4*(-24)\/(-42)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(-45)*h)*h)\/(h*h*h\/(((h*h\/(h*h\/(((h**(5\/6)*h)\/h)\/h*h))*h)\/h*h)\/h))*(h\/(h\/(h\/((h*h**29)\/h*h)))*h)**(2\/71) assuming h is positive.\nAnswer: h**(18763\/426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5 + 4221*a**4 - 765846*a**3 - 558300864*a**2 + 1119631392*a = 0. What is a?\nAnswer: -267, 0, 2, 836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*u - 18, 3 = -5*u + f - 9. Let b be -2 - -4*u\/(-3). Let j(s) = 48*s**2 - 3*s + 1. Let g be j(b). What is the greatest common factor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 1. Let a(q) = 9*q + 2. Let p(v) = -3*a(v) + 6*c(v). Is p(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k - 26. Let m(a) be the second derivative of a**3\/3 - 5*a**2\/2 - a. Suppose 0 = 4*h - 2*h + 6. What is h*w(t) + 16*m(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6 = 14. Sort -5, p, -2 in ascending order.\nAnswer: -5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049376391 a multiple of 494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 3022948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*d + 9004811 - 8995125 = 0 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**11)\/(((y\/(y\/(y\/(y**(9\/2)*y))))\/y)\/y))\/(y\/(y**(-6)\/y*y)*y*y*y**(-5)))**41 assuming y is positive.\nAnswer: y**(1189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 368\/(-69) + 7\/3. Let c(k) = 245*k**2 + 56. Let q(w) = 13*w**2 + 3. Let b(t) = y*c(t) + 56*q(t). Let g(j) = -32*j**2. Give g(b(a)).\nAnswer: -1568*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 153, 232, 311, 390?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -26144676 divided by -2904964\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4000366, 4000358, 4000350, 4000342, 4000334, 4000326?\nAnswer: 4000318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4*1\/(-4))\/((-3)\/(-69)))\/(-3).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12715*c**2 - 103*c**3 - 12715*c**2.\nAnswer: -103*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 835180 (base 10) to base 6.\nAnswer: 25522324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = c + 6. Let w(j) = 2*j**2 + 0*j**2 - j - 2 + 0*j**2. Let b be w(c). Calculate the highest common factor of 234 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3*t**3 - 2*t**3 - 1 - 2*t**3 as s*t + f + j*t**2 + h*t**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 5. Let a(k) = 2. Give 5*a(n) + 3*b(n).\nAnswer: -3*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o - 34*o - 3*i + 5 = 0, o + 1 = 3*i. Solve -o = -10*v + 8*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1660, 1362, 1080, 814, 564, 330?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 6\/5*u**4 - 49 + 0*u + 14\/15*u**3 + 1\/5*u**2. Suppose f(k) = 0. Calculate k.\nAnswer: -1\/3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 greater than -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -18\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -390, -557, -720, -879, -1034?\nAnswer: -1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 60*q + 21*q - 81*q + 4*q**2. Let a(m) = -3*m - 19. Give a(p(j)).\nAnswer: -12*j**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3184035 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 7:24 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5497 - 186243 = -20*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 8:43 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14175593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5 - 79020*t**4 + 79021*t**3 = 0. What is t?\nAnswer: -79021, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 26*k**2 + 24*k + 83. Let c be s(27). Suppose -2*j = c, -i - 2406 = -6*i + j. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192565 and 165680.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g**4 - 132*g**3 - 132*g**2 + 12*g. Let l(k) = 2*k**4 - k**3 + 4*k. Let b(r) = -3*l(r) + v(r). Factor b(p).\nAnswer: 3*p**2*(p - 44)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 135\/8 - 119\/4*f**3 - 27\/8*f**4 - 171\/2*f**2 - 297\/4*f.\nAnswer: -(f + 3)**3*(27*f - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-4) - 1\/2. Suppose 27*s + 148*s**o - 158*s**3 - 65*s**2 + 8*s = 0. Calculate s.\nAnswer: -7, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-13)\/26)\/(1\/(-14)). Let t be (5\/2)\/(115\/322). Calculate the highest common factor of t and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v - 12. Let i be s(5). Find the common denominator of 32\/15 and ((-348)\/16)\/(i\/(-4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + (1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f*(f*f**(2\/15))\/f)\/f)*f**12*(f*f**3)**(-6) assuming f is positive.\nAnswer: f**(-167\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + 4. Let d be q(-3). Let z(t) = 5*t**3 + 6*t**2 + 6*t + 3. Let y(c) = -7*c**3 - 7*c**2 - 7*c - 3. Let s(u) = 2*y(u) + 3*z(u). Determine s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + l + 12514 = 10*m, -1 = -l. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3 - 2 + 42*l - 2*l**2 - l**3 - 43*l. What is the remainder when 2 is divided by t(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 - -98 - ((3 - 5) + -1 - 2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1543, 5\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-10)*2\/(4\/5))\/((-4390)\/7024)?\nAnswer: -66\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -12*i**3 - 2*i**2 - 5*i - 8. Is a(-2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcmbdbozoooccmbccdbb. Give prob of sequence ocdd.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**4\/6 - j**2. Suppose t + 3*k + 4 = 0, 0 = t + 4*t + 4*k + 9. Let p be v(t). Put -5, p, 1\/4 in increasing order.\nAnswer: -5, p, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4089\/4 - -1042. Let b = 187\/36 - 238\/9. Find the common denominator of a and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/48 and -109\/1152.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21, 34, 55, 90, 145, 226, 339?\n\"Answer: t**3 - 2*t**2 + 12*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - v - 4 = 0, -2*u + u - 10 = -3*v. Suppose -4*o = -u*i - 3*i + 42, 10 = -o + i. What is the common denominator of 32 and (o\/(-44))\/(4\/14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(3 - 2 + 3)*(-12*q + 3*q + 4*q).\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160260 divided by -53420.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*c**3*q**3 + c**3*q - 4*c**2*q**2 + 2*c*q**3 - 2*c wrt c.\nAnswer: -90*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 14*h**2 + 32*h + 1. Calculate k(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 129*s**2 - 743*s - 126620. What is d(-127)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 12:31 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 12*a = 10. Let h be (1 + 62\/a)*(27 + -12). Let n be h\/12*(-2 + 0). What is the greatest common divisor of 65 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x. Let n(o) = -13*o. Let c(m) = -2134*m + 3. Let v be c(0). Give v*n(d) - 5*g(d).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2565096 divided by -1282548?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*s - 14*s - 8*s**2 + (-s - 2 + 2)*(6*s - s - 4*s) + 0*s**2 - 5*s**2 + 3*s**2 + (s - s**2 - s)*(3 - 1 - 4))*(120*s**2 - 2917 + 2917 + s).\nAnswer: -1080*s**4 - 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7257810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c + 21. Calculate the least common multiple of 9 and f(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58574 is divided by 29215.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -763684\/49 and -15585 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 147*j - 151*j + i, -5*j - 2*i + 8*i = -81 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (44174\/(-2106) + 21)*(-3 - 0)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -587*a**2 - 564*a**2 + 1729*a**2 - 579*a**2. Let u(f) be the second derivative of -47*f**3\/6 - f**2\/2 - f. Determine n(u(v)).\nAnswer: -2209*v**2 - 94*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 12. Let l(f) = 3*f - 6*f**2 + 2 - 4*f + 0*f + f**3. Give l(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 - (6 - (10 + -6 + 6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 - 63. Let a(c) = -c**3 + 2*c**2 - c - 5. Let d be a(-5). Suppose 12*s = d + 341. Is s at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -308.8 - -308.8. Put -4, b, -1, -3, 1\/9 in ascending order.\nAnswer: -4, -3, -1, b, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -20\/7, -2\/3, -1\/8, 0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6 + 79 - (0 + -3)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1002 and -54.\nAnswer: -54108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -13. Suppose 0 = 2*b - c*b + 102. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*(-84)\/63\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300464854 to the power of 1\/2, to the nearest integer?\nAnswer: 36062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 3*q + 8. Let v(g) = -g**3 - 9*g**2 - g - 13. Let j be v(-11). Let x = j - 237. Let r(p) = 2*p**2 - 2*p - 7. Determine x*r(c) + 2*u(c).\nAnswer: 2*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -10. Suppose -17*x = -x + 1152. Let b be (1\/((-14)\/x))\/((-12)\/(-56)). What is the highest common factor of w and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3062778, -6125544, -9188310, -12251076, -15313842?\n\"Answer: -3062766*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/4 + 231\/(-36) and 81\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*t = -4415 + 1643, 0 = -2*t + 6. Let p = i + 1502. List the prime factors of p.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*u - 5*u = 11, 3*u - 1 = -2*z. Suppose -z*g + 44 + 0 = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 2*h**2 - 3*h**2 + (3 + 2*h - 3)*(0*h - 5*h + 0*h))*(-h + h + 14*h**2).\nAnswer: -154*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**6\/60 + k**5\/4 - 7*k**4\/8 - 10*k**3\/3 + 25*k**2 + 144*k. Solve t(q) = 0 for q.\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/19 or -154?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 340\/3, -1446, -0.1, -3 in decreasing order.\nAnswer: 340\/3, -0.1, -3, -1446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 4*l + 6. Let j be a(5). Suppose 0 = -3*u - 3*z - 1 - 8, 3*u - z + j = 0. What are the prime factors of 25*(u - (-14)\/10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 40 = -2*l - 5*g, -8 = 2*l - 4*g. What are the prime factors of (602 - l) + (-2 - -2)?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p. Let u(g) be the second derivative of g**4\/4 - g. Determine t(u(h)).\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20 (b) -1082 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35 from 14884087558.\nAnswer: 14884087523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*p = -48*p - 2688 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 13*a**2 - 142*a - 11. Determine l(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0*4\/16)\/1. Let n(d) = 4*d**2 - d + 1. Let v be n(1). Suppose s = v*c + 4 - 12. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 70*j**3 + 0*j**2 - 6*j - j**2 - 3 - 69*j**3. Let t = 1 - -3. What is the tens digit of y(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2272*n**2 + 4598*n**2 - 2326*n**2 + n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 243572 + -135913235\/558. What is the common denominator of f and 91\/496?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -438967 or -438973?\nAnswer: -438967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 429*t + 865*t - 431*t)*(t**2 + 10*t - 10*t).\nAnswer: 5*t**3 + 29*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -29. Suppose -4*m + 3*m + 104 = d. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 1441 + 2737 - 1711)*(-2*a**2 + 2*a**2 - a**3).\nAnswer: -a**4 + 415*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 7:22 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3034 - -3268. Solve z*j = 239*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 6:15 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 524?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d*d*d**0*d)))\/d*d*d)\/d*d*d*d**(-2))\/(d\/(d\/d**(-1\/4)*d))**8*((d**2\/d)\/d*d*d*d**1*d)\/(((d**(-3\/4)\/d)\/d)\/d*d**(-3\/8)) assuming d is positive.\nAnswer: d**(169\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**3\/13 - 516220*a**2\/13 = 0.\nAnswer: 0, 258110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 - (0 - 8)) + (67 - 77)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4330515043.\nAnswer: 17, 53, 569, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/864 and 137\/36.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -0.54. Let s = -3.94 - p. Which is the nearest to -1\/2? (a) 0.1 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 169790 and 12.\nAnswer: 1018740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 less than -852268112187?\nAnswer: -852268112167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/333, 7\/4, -2, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92501*b**3 - 14*b**2 - 215*b + 7127?\nAnswer: 555006*b - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -259 - -358. What is the least common multiple of g and 81?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96671\/328 < 294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - (-3 + sqrt(180)))**2 - sqrt(45))*-2 + ((sqrt(5)*1)**2 + 0 - (sqrt(80) + 1)**2).\nAnswer: -184 + 34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 253\/2036446 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.3. Let x = -41 + 46. Suppose 11 = -6*y + x. Which is the closest to y? (a) -5 (b) d (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (-42)\/(-11718)*1891. Solve -4\/9*v**2 + 0 - i*v = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/15 - 64\/180. Let t = -3530 + 3527. Which is the nearest to k? (a) 0 (b) 3 (c) t (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 16369*l + 32279675. Give m(-1972).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = -48*l + 2405. Suppose i = -4*i - 30. Let o(j) = -2*j - 7. What is the remainder when l is divided by o(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {n: 7, x: 12}.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 0*n**3 - 3 - n + n**4 + 2*n**2 + 3 to the form k*n**2 + w*n + h + a*n**4 + i*n**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 1. Suppose t = 3*p + 360, -3*p = t + 178 - 514. Let h(a) = 4 - t*a + 184*a + 165*a. Determine h(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 11. Let u be a\/3*(-3)\/18. Is -1 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (210\/49)\/((-24)\/42)*(-15)\/50\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 5:28 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37722 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0935 - 0.9065. Which is the nearest to k? (a) -1\/6 (b) 8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by (5 - (4 + 3)) + 76?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -25*s**4 + 21*s**2 + 4*s - 4. Let l(d) = d - 1. Let y(h) = -4*l(h) + z(h). Find the third derivative of y(p) wrt p.\nAnswer: -600*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1658, -3307, -4940, -6557, -8158, -9743?\n\"Answer: 8*k**2 - 1673*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**5 + 1908*z**4 - 264201*z**3 + 8319070*z**2 + 8518176*z + 2146176 = 0. Calculate z.\nAnswer: -1\/2, 46, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70587.\nAnswer: 3, 11, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g - 22*g + 372 = 0. Solve 0 = -2*v + 14 - g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 19 - 15)*28\/4?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2061317408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**5\/30 - 3*l**2 - 16*l. Let t(g) = 0*g**2 + 6*g**2 + 3*g**2. Calculate t(d(n)).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19, 662061 in descending order.\nAnswer: 662061, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**(-1\/11)*d)\/d*d*d*d**3)**45 assuming d is positive.\nAnswer: d**(3420\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5806686, -5806697, -5806708, -5806719, -5806730?\nAnswer: -5806741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let x(l) be the first derivative of 201*l**3 + 25. Calculate x(a(v)).\nAnswer: 603*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 477287.1 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 4:24 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3.8661 times 11605\nAnswer: -44866.0905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3453, 3441, 3427, 3411, 3393?\nAnswer: 3373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163550502?\nAnswer: 2, 3, 397, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 16*m - 11. Let i(y) = -y + 1. Let o = 3 + 2. Let f(a) = o*i(a) + t(a). What is the tens digit of f(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + r. Let q(d) = 26*d**2 - 9*d + 1. Give -6*g(j) - q(j).\nAnswer: -20*j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.407 + 16.407. What is the third biggest value in 5, -23, s, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*c = 5, -2*s + 2*c = -0 + 2. Let w = s - 1. Let q = -1 - w. Which is smaller: q or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -45*s**2 + 130*s + 2. Calculate m(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2282.51142us?\nAnswer: 0.00000002641795625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -19. Let j(k) = 3*k**2 - 5*k + 2. Let o be j(z). Suppose 0 = g + 4*g - o. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 340 = 6*f. Suppose -3*n = n + f. Let v = n - -21. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbjnjjh. What is prob of sequence bg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34\/2459? (a) -12 (b) 0.3 (c) -12.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -318, -304, -292, -282?\n\"Answer: -k**2 + 17*k - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050080821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 42*p = 11*p + 41401. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 20*u + 186. What is the units digit of q(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**6)*i*i*i**(-3)*i**(1\/11)*i**5 assuming i is positive.\nAnswer: i**(-21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 66498 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkokkooogok. Give prob of picking 1 o and 1 k.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 18 = -3*o. Let w(g) be the third derivative of -g**4\/24 - 7*g**3\/6 - g**2. Let y(k) = -8 - 4*k - 13*k + 16*k. Give o*w(c) + 5*y(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-154)\/(-66))\/(-2 + (-20)\/(-12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1158 (b) -1 (c) -0.07 (d) 11 (e) 3 (f) 8 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13621926 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(-5*q - q + 4*q)*(-202 - 198 + 335) as x + h*q and give h.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zee when three letters picked without replacement from {z: 6, v: 2, e: 3, p: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - c**2 + c - 1. Let h = 50 - 46. Let d(z) = -10 + h*z - 5*z**3 + 3 + 5*z**2 - 9*z**2. Give d(m) - 4*f(m).\nAnswer: -m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 12 - 3*f - 14*f.\nAnswer: -17*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(-2760)*30)\/(8\/20*10)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 51.1\nAnswer: 50.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.1, -9\/5, 4, 177, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2389283 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -32*m - 10*m - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*z - 3*z + 2*z + (-4 + 4 - z)*(4 - 1 - 1).\nAnswer: -23*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:42 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11647 + -11647.000058348. What is b rounded to 6 dps?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -11*f + 18. Let w(v) = 3*v**2 - 5*v - 3. Let b be w(f). Suppose 4*k = b - 23. What is the highest common divisor of 56 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.01409+127.2817\nAnswer: 124.26761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897955 is divided by 11968?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/11 - 62*i**3\/11 - 118*i**2\/11 - 58*i\/11.\nAnswer: -2*i*(i + 1)**2*(i + 29)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-1) - 7 - 801. Let g = y - -468. Let c = -183 - g. List the prime factors of c.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/154)\/(-6*99\/(-252)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 7.2. Let w = 12 - n. What is the second biggest value in w, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/(-15))\/(-7)*(-4)\/24.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 0.4 (c) -0.2 (d) -23673\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/2403 and 19\/10413?\nAnswer: 31239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113220 + -1310100?\nAnswer: -1130220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4012009\/5 + 4006\/5*w - 1\/5*w**2 = 0 for w.\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 2 = -7*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 1. Let o(n) = -7*n**2 + 13*n - 14. Let k(a) = -6*m(a) + o(a). What is the tens digit of k(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -531, -2185, -4961, -8865, -13903, -20081, -27405, -35881?\n\"Answer: -l**3 - 555*l**2 + 18*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**3 + 2*q + 2. Let w be b(-1). Solve -4*i + 12 = -5*n + w*n, 2*i + n = 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245 by 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 8:45 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + i. Let a(k) = -87*k + 2. Determine a(x(f)).\nAnswer: 261*f**2 - 87*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 1:23 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 44*z**3 + 12 + 12*z**2 + 16*z - 17*z**3 - 26*z**3. Let r be s(-8). Suppose -6*u + r = -u. Calculate the smallest common multiple of 2 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -31*x - 339. Give b(-12).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104400 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17695734, -17695746, -17695758, -17695770, -17695782?\nAnswer: -17695794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 3*c**2 + 3*c + 3. What is n(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/738576 and -71\/24.\nAnswer: 738576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 5874*o.\nAnswer: 5874*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -229e39 (base 16) in base 4?\nAnswer: -20221320321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117129874 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: List the prime factors of 340.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1871165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1031, 2105, 3181, 4259, 5339, 6421?\nAnswer: 7505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1408557 and 0.5.\nAnswer: 704278.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**2 + 539*v - 5*v**2 - 534*v + 0*v**2.\nAnswer: 8*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 54\/21 + (-10)\/(-105). What is the closest to o in 9, -3\/7, 6\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15694500 + 0.0423?\nAnswer: -15694499.9577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*i, -3*c + 0*i = 2*i + 204006. Let o be (c\/(-3))\/((-2)\/150). Round o to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*a - 76 = 164 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 480*l + 1596. What is the units digit of z(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.364873403 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*q - 29*q + 2841*q**2 - 21356*q**2 - 27*q in the form p + t*q + r*q**2 and give r.\nAnswer: -18515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -690, -1554, -2616, -3882, -5358, -7050, -8964, -11106?\nAnswer: -13482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*h, 4 = -4*k + 2*h - 6*h. Suppose d = k*l + 5, 0 = -4*d - 3*l - 14 - 4. Let g be ((-18)\/d)\/3*1. Solve -30 = 3*i + 3*q, 4*i - g*q = 2*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 12, -d = 32*f - 27*f + 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 84 (c) -7\/3 (d) 4 (e) -9 (f) 2\/19 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/7 - (-1 + 0 - 32). Suppose 0 = 2*k + v - p, k - 4*v = 2*k - 28. Sort k, -3, 0 in decreasing order.\nAnswer: k, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 138*h**2 - 4*h. Let x(f) = -139*f**2 + 5*f. Let a(v) = 3*n(v) + 2*x(v). What is the hundreds digit of a(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 3*k + 11 = 2*k, -5*c + 5 = k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40444400 (base 5) to base 3.\nAnswer: 121200001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -28*k**2 + 27*k - 15. Let y(h) = 25*h**2 - 20*h + 14. Determine -3*i(c) - 4*y(c).\nAnswer: -16*c**2 - c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7774430, 7774422, 7774414?\n\"Answer: -8*w + 7774438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 6. Let s = -8 - 0. Let k be u(s). Let f = 9 + k. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297480899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/4177 in -0.1, -1\/3, 6374?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4)*i)**(3\/22))**(-16) assuming i is positive.\nAnswer: i**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1815 - 1803. Calculate the greatest common factor of 300 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 108*p**2 + 0*p**4 + 3\/4*p**5 - 96*p - 33*p**3 = 0. What is p?\nAnswer: -4, -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + 2*(sqrt(5) - (0 + sqrt(5))**2) + 1.\nAnswer: -5 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(75) + 0) + sqrt(75) - sqrt(75)) + 1*2*sqrt(75) + -1*(sqrt(15)\/(sqrt(15)\/sqrt(3)) + (sqrt(3) - sqrt(48))))**2.\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558*l = -117*l + 56241 + 56214. Sort -4, l, -3, -5 in descending order.\nAnswer: -3, -4, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201568739.\nAnswer: 19, 331, 32051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 914394661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.592031656 - -9947.7.\nAnswer: 9945.107968344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2 and 64\/6235.\nAnswer: 12470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 0 + 1\/12*h**4 + 0*h**3 + 4*h + 1\/10*h**6 + 0*h**5 + 0*h**2. Find the third derivative of z(w) wrt w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8875 and 11005.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25164898 is divided by 11305.\nAnswer: 11273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 6*m**2 + m - 6. Let f be r(6). Suppose 5*v - 2 = -4*z, 3*v + 2*z + 3*z + 4 = f. Do 5\/4 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -174 + -89. Let z = q - -263.2. Let i = 0.2 - 0.4. Which is the nearest to -8\/7? (a) -1\/2 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 138.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-415))\/((-2)\/(-4)*(-38)\/(-608)*32)?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 7*t - 50. Let d be t\/35 - 4\/14. Suppose 2*h - 65 = -5*v + 6*h, d = -5*v + 3*h + 60. Calculate the highest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/14 - (8 - (-3 + (37 - 21)))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6\/11))**(1\/10)\/((y*y\/(y\/(y**(-6\/13)*y*y))*y)\/(y\/(y\/y**(-2\/3)))) assuming y is positive.\nAnswer: y**(-9137\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 1\/2688*o**8 - 1\/960*o**6 + 0*o**4 + 26*o**2 + 1\/480*o**5 + 0*o**3 + 0*o + 0 - 1\/1680*o**7. Factor t(f).\nAnswer: f**2*(f - 1)**2*(f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 752 = 922. Let y = g - -561. Solve -4*t = 0, y*f - 3 = -5*t + 2*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 9*x**2 + 16*x - 9. Suppose -7*k + 10*k = 56*k - 318. Determine g(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 97*s + 10621. What is d(55)?\nAnswer: -764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002284996 to 6 decimal places.\nAnswer: 0.002285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23128 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -5. Let z be (-6)\/(-4)*(-2 + 4). Suppose 357 = -z*p + h*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 + 15*y**2 - 10*y + 3. Is f(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.71694 litres in millilitres?\nAnswer: 4716.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, 4 in ascending order.\nAnswer: 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8306 + 8330. Solve 0 = 39*q - 31*q + r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64116 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/(((-6)\/(-123))\/2)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a + 13. Let r(d) = 9 + 5*d - 18 - 8. Let z(g) = -6*c(g) - 5*r(g). Let i(y) = -3*y**2. Give z(i(l)).\nAnswer: 3*l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/36*1*15\/(-10)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131458 is divided by 14451?\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.328 - -1.672. What is the nearest to 0.1 in 1499, 5\/2, b?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 9:21 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4641 (b) -0.01 (c) 0.022 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, -18 in ascending order.\nAnswer: -20, -18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6947.31 - -6946. Which is the smallest value? (a) r (b) -4 (c) -2\/19 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13289.15 years in decades?\nAnswer: 1328.915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 u, and 1 s when four letters picked without replacement from {u: 3, s: 15, f: 2}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 7*y**2 + 6*y. Let v be c(-6). Suppose v*l = -2*l. Suppose -2*k + 8 = -l*k. Solve 4*o = 8, 0 = 2*i - 3*o + 2 - k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 1725723924.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 3*g - g**3 + 10 - 27 + 15. Let w be l(-1). Solve r + 6 = -3*u, 2*r - u + 2 = w*u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -6 + 1, -q = w + 204. Let i = q + 652. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 - 4 + 4 + (2*r + 0 + 0)*(-r + r - 2*r) + 2*r - 2*r + r**2 + 133*r - 128*r - 4*r**2 + 0*r**2.\nAnswer: -8*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 264? (a) 4 (b) 0.038 (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0192054195 + -18753.3794745805. Let c = g + 18754. Let z = -0.6 + c. Round z to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86568673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 3*y + 3 + 13, 4*m + 3*y = -14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229851?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/5 + 4\/10. Let z = 0.27 + -0.28. Let a = z - 0.29. What is the biggest value in 1, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 16. Suppose 147 + 344 = a - 4*t, 0 = -3*a + 2*t + 1493. Let v = a + -495. What is the lowest common multiple of v and s(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b720 (base 15) to base 11.\nAnswer: 61152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 504 (base 11) to base 5.\nAnswer: 4414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5042688?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -103559.97 rounded to the nearest one thousand?\nAnswer: -104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9684333 less than -5?\nAnswer: -9684338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**4\/4 - 16*d**3\/3 + 7*d**2 - 4*d - 13. Is 13 a factor of r(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 7*o + 121\/30*o**6 + 0*o**2 + 57\/2*o**3 + 0*o**4 + 0*o**5 + 9. What is the second derivative of y(u) wrt u?\nAnswer: 1452*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11823 + -11841. Which is the third biggest value? (a) g (b) -2\/13 (c) 3 (d) -0.4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*-3*5*sqrt(252) + 5 + ((sqrt(252) - (0 + sqrt(252)))*-3 - sqrt(252)))**2 + 3.\nAnswer: -5520*sqrt(7) + 533335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 3 - 178*m**3 - 31.\nAnswer: -178*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.26327552 rounded to 2 dps?\nAnswer: -3.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**6\/960 + n**5\/320 - n**4\/32 + 5*n**3\/3 + 3. Let l(z) be the third derivative of p(z). Factor l(c).\nAnswer: 3*(c - 1)*(c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 353071, 353068, 353063, 353056, 353047?\n\"Answer: -v**2 + 353072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*k - 1579585 = 24*k + 9835775. What is k rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 19. Suppose -y + 32 = -j*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(576) - (sqrt(324) + 2*sqrt(324))\/sqrt(9))\/((sqrt(84) - (sqrt(84) + (sqrt(84) - 2*sqrt(84)*1)))\/sqrt(7)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1050 and 2430.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 3, -1\/4, -0.5 in decreasing order.\nAnswer: 3, -2\/13, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/201025 and 8\/2475.\nAnswer: 1809225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + (1*(sqrt(2)*-4 + -2 + sqrt(2)))**2.\nAnswer: 12*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 23. Suppose h = -12*a + 15 + 201. What is the smallest common multiple of a and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/872 < 28666\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 763.7013 to the nearest 10.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 4*m - 8. Let h be s(-6). Let i(d) be the second derivative of 0 - 3*d + 0*d**2 - 1\/20*d**5 + 0*d**3 + 1\/12*d**h. Factor i(c).\nAnswer: -c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.49, -0.2, -103, 9\/13?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3634*-66.\nAnswer: -239844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21421429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 11:46 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5390462)\/106216 + 57*(-4)\/(-6)?\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141 - 111 + 10*q + 235 - 13*q + 4*q.\nAnswer: q - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 2\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110 + 149. Calculate the remainder when n is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -41, -61, -83, -107, -133, -161?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.5 take away -17.054906?\nAnswer: -32.445094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 12 + 93. Do -2\/7 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -426257387 and 2.\nAnswer: -426257385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6242443177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11\/2 + -5. What is the smallest value in 0.4, w, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706587740?\nAnswer: 2, 5, 71, 497597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 202*a - 374. What is the units digit of o(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100001101010 (base 2) to base 14.\nAnswer: -9a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 7 = -3*s + 5, -9 = -s - 2*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.62 - -0.72. Let m = 2.5 + d. Which is the nearest to 0.1? (a) 5 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29586800 and 10534.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-312)\/(-234)*-1707*-6*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfvaj. What is prob of picking 1 v, 1 a, 1 f, and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7077.98 + 7016. Let a = 62 + y. Suppose 0 = -2*q - 2*h - 2, 4*q + 0*q - 3*h = 3. What is the nearest to a in -4, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33388068 and 28840.\nAnswer: 333880680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -16.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cceceeeekc. Give prob of picking 4 c.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46618621163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d + 4. Let g be f(8). Is 476\/g - 2\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8112 = -8*o + 6*o. Let u = o - 2369. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**3 - 48*a**2 + 52*a - 3. Let z be k(-13). Let y(h) = -4*h**2 - 5*h - 4. Calculate y(z).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - v**2 - 3*v**2 + (0 + 2*v + 0)*(-2*v + 3*v + v))*(4*v - 19*v - 2*v).\nAnswer: -85*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 5:25 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 564003638?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3062310 (base 8) to base 10.\nAnswer: -812232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3148 + -1393. Does 117 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.4.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8*s**2 + s. Let i(u) = u. Let v(k) = i(k) - o(k). Let p(y) = -2280*y - 2285*y - 2290*y + 6855*y + 9*y**2. Give v(p(c)).\nAnswer: 648*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7240 and 710.\nAnswer: 514040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (57 - 10 - 129)*(4*a + 0*a - 2*a)*(a**3 + 0*a**3 + a**3) as t*a**2 + d*a + o*a**4 + h + y*a**3 and give o.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 6*p**2 - 2*p. Let s be c(-6). Let b(t) = 12 - s + 0*t - t. Let z(i) = -16*i. Give b(z(d)).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 + 2081*v**2 - 243748*v + 30806. What is o(906)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81247*l - 162494*l - 2*l**2 + l**2 + 81247*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*k + 360 = -132*k + 269*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (-1 + sqrt(98))**2 + sqrt(98) + ((1*sqrt(98)*-3 - sqrt(98)) + sqrt(98))**2 + (sqrt(98) - (1 + sqrt(98)))**2 + 3.\nAnswer: -7*sqrt(2) + 986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 449853 and 5.\nAnswer: 2249265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) - (-118)\/6. Suppose 4*n - o = -5*o - z, 5 = 3*n - 2*o. Which is smaller: 2\/9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 20, 4*l = -2*o - 64 - 16. What are the prime factors of (-1)\/((-16)\/l + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from wvdvmvz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + k - 20 = 5*v, 0 = -2*v + k + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) 3 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**4\/12 + 7*r**3\/6 + 5*r**2\/2 - 2*r + 4. Let i(n) be the first derivative of b(n). What is i(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/39)\/(d*d*(d*(d*d**(1\/11))\/d)\/d) assuming d is positive.\nAnswer: d**(-875\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*m**2 + 1 - 11*m**2 - 6*m**2 + 1 to the form g + d*m + c*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8911*k + 6757*k - 3636*k.\nAnswer: 12032*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 18*w**2 - 18*w + 52. Let m be z(22). Let y(b) = -1592*b + m*b + 32*b**2. Let k(c) = -3*c. Give k(y(h)).\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 3*v**2 + 52*v - 418. What is t(10)?\nAnswer: 1402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 5*x + 5*f + 37, f = -4*x + 31. Suppose -5*l - z + 3*z = -18, 3*z = -12. Calculate the highest common divisor of l and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 78*t - 77*t + 5 = 0, 5*g = t + 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, f: 1, c: 7}. Give prob of picking 1 n, 1 f, and 1 c.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 224357\/11 at least 20395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*b + 21 = 0, 15 = l - 5*b - 6. Is 6 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*q = -63*q. Solve -z + 3*f + 3 = q, -4*f + 8 = -5*z + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*d**3 - 551*d**3 + 944*d**3.\nAnswer: -86*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800677 is divided by 4003.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 29. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -1. Find the first derivative of 1 - 6 - b**2 - t*b**2 wrt b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 - 60. Suppose 0 = 3*f - 5*f + x. Solve -f = 5*y - y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221221 - -1?\nAnswer: 221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50.5 + -134. Let r = -83.1 - v. What is the closest to 0.06 in -1\/3, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -49, 2.\nAnswer: -49, -13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/20*(-10)\/(-4) + 0. Let s(x) = 5*x**2 + 2*x - 2. Let v(j) = -51*j**2 - 21*j + 21. Give g*v(k) - 63*s(k).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 4, -1347263\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 62*i + 8. Let o(n) = 93*n + 9. Calculate -5*o(b) + 7*t(b).\nAnswer: -31*b + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76835 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4023 and 270.\nAnswer: 40230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**3 + w + 6*w**3 - 11*w**3 + 1 to the form s + m*w**2 + y*w + f*w**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.032 - -12.1. Do 0.1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p + 2. Let q(m) = -m + 6. Let h be q(4). Let v be y(h). Calculate the greatest common factor of 98 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*n = 9*d + 12, -10 = 3*d - n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-five eighths of a week?\nAnswer: 1575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 1a67?\nAnswer: -1a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 904d?\nAnswer: 904c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -60 + 18. Solve -2*p = -4*t + 5*t - f, -13 = 2*t - p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - u - 3 - 1)*(-26 - 7*u**3 - 464*u + 464*u).\nAnswer: 7*u**4 - 7*u**3 + 26*u - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (10 - (31 - 20))*(-10)\/(-6).\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 1558, 1 in ascending order.\nAnswer: -35, 1, 1558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10387 and 167414?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -100, -128, -146, -142?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13088, 13091, 13096, 13103?\nAnswer: 13112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/((-96)\/40) + (-96)\/(-3). List the prime factors of (-754)\/(-30) - m\/((-1620)\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7000 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p - 17*p + 201*p.\nAnswer: 150*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 - 96*v\/7 + 14.\nAnswer: -2*(v - 1)*(v + 49)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/(-4))\/((-91)\/13). Let h(y) be the second derivative of -y + y**3 + g*y**2 - 1\/12*y**4 + 0. Determine h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**3 + q**2 - 2*q + 1. What is the least common multiple of 14\/10 + 12\/(-30) and l(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233986026 - 233986026 + 87*u**2 - 422*u**2 - 226*u**2.\nAnswer: -561*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l = 0. Suppose l = -5*t - 2*x, 2*t + 31 = -t + 5*x. Let h = -1265 + 1264. Which is greater: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/f**3))\/f)\/(f*f**(2\/3)\/f*f))**42 assuming f is positive.\nAnswer: f**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 8:49 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169620 is divided by 174?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -34*s + 119. Suppose -5*x + 374 = 49. What is the remainder when x is divided by h(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 41*a**3 - 8530*a**2 + 430*a - 2921. Calculate n(208).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.2, 0.065.\nAnswer: 0.065, 0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 13*u**3 + 33*u**2 - 22*u + 6. Let p(m) = 17*m**3 + 34*m**2 - 15*m + 4. Determine 3*p(w) - 2*v(w).\nAnswer: 25*w**3 + 36*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7885.184ng in tonnes?\nAnswer: 0.000000000007885184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 20*d**3 + 28*d**2 + 12*d.\nAnswer: 4*d*(d + 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27583.00659 + -27583. Round x to four dps.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, o: 2}. Give prob of sequence ono.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3010 and 293174?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 4\/14)*1. Let x = 4761458\/55 - 86572. What is the closest to y in 4\/3, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2)\/z**(1\/2) assuming z is positive.\nAnswer: z**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.08 - 9. Let f = z + 1.92. Is -2\/7 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53b849 (base 14) to base 2\nAnswer: 1010110100011011011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87951398 divided by 10781.\nAnswer: -8158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 430 and -3.498383?\nAnswer: 433.498383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 10:44 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/84 + (-1)\/(-7). Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -8. Put 2, z, -4\/3, 10 in increasing order.\nAnswer: -4\/3, 2, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17228 - 17218. Let q = -23 + 25. Solve -5*i - b = -q*f, 3*f - 15 = 5*i - 6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129870 is divided by 72?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 117640664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*s + 5*s + 228 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from bnkk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2265377 or 2265374?\nAnswer: 2265374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 14 + 46 = 0. Let k = -11 - q. Suppose -12 + 0 = 2*j - k*t, -4*t = 4*j - 24. Solve 4*a = -p + j*p - 10, -3 = a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 82*k**3\/3 - k**2\/2 - 124*k + 565. What is the second derivative of u(z) wrt z?\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 855*g - 843*g - 24 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11721596*c**2 - 7852987?\nAnswer: -23443192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, 4, 0.5, 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28728*v**3 + 0 - 1\/5*v**5 + 28880*v**2 - 759\/5*v**4 + 0*v = 0. Calculate v.\nAnswer: -380, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -47*q + 801. Let f be n(17). Let k(m) be the third derivative of -1\/120*m**5 + 1\/24*m**4 - m**f + 1\/4*m**3 + 0*m + 0. Find p such that k(p) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*q - 24, 4*q - 1 = 3*j - 4. Suppose 6 = -0*d - q*d. Let c be 1\/d - 6\/(-12). Solve c = g + 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and 2.742605?\nAnswer: 0.6582252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by ((-240)\/(-84))\/((-90)\/(-2016))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/42*-6)\/((-5)\/(-35)). Let p = 5 + -9. Is 61\/k*(p + 6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 32*w + 20. Let v be i(16). What is the first derivative of -160*k + 43 + v*k + 1 - 60*k wrt k?\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11466 = -426*r + 2094 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n = 503 + 667. What is the remainder when n is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/160 (b) -350 (c) -2\/7 (d) -5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 3\/2*p**2 + 6*p + 0*p**3 - 113 + 0*p**4 - 167\/6*p**6 + 0*p**5. Find the second derivative of u(a) wrt a.\nAnswer: -3340*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 294 - 257. Solve -r = -4*l - 45 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1596, -5\/3, -1\/3, -2?\nAnswer: 0.1596","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*3*(-6)\/(6*-3). Let d(v) = 89*v**3 - 1 + 9*v**q + 5 - 90*v**3 - 6*v + 3. Is 9 a factor of d(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -44402646?\nAnswer: 44402636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - n = 22, 3*n - 30 = 2*k - 6*k. Solve 2*c = k + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.026 - -0.02599997. What is z rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/55 and -71\/220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 - 176 - (6 + -31 + (2 - (-3 - 0)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.04737393 plus 2?\nAnswer: -12.04737393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**5 - 333573*f**2 + 865387*f wrt f.\nAnswer: 20*f**3 - 667146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, w: 2, e: 2, z: 1, v: 6}. Give prob of sequence vv.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 8:21 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1771 (b) 1\/5 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**2 + 9*f + 9. Let c(i) = -6*i**2 - 8*i - 8. Let g(q) = -4*c(q) - 3*j(q). What are the prime factors of g(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -337*r**4 - 312 wrt r?\nAnswer: -1348*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 19\/31321592?\nAnswer: 19\/31321592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101011201 - 12?\nAnswer: 1101011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 2*g**7\/35 + 2*g**3\/3 - 4*g**2. Differentiate f(p) with respect to p.\nAnswer: 48*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**24*g)\/g**15)\/((g\/(g*g**8))\/(((g*g*g**(2\/21))\/g)\/g)) assuming g is positive.\nAnswer: g**(380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -17 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77.245 - 77. Let r = j + -0.18. Round r to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -717, -707, -691, -669, -641?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10222 (base 4) in base 5?\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1796 is divided by 338?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 u when three letters picked without replacement from {x: 16, u: 4}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 6*c**2 - 8*c + 6. Let n be a(-6). Let b = -1113 - -1119. What is the highest common divisor of b and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33124*d**3 + 214*d**2 + 5252176*d - 3 wrt d.\nAnswer: 198744*d + 428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 11. What is the units digit of o + -3 + -4 - -32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*y**4 - 12*y**3 - 45231*y**2 - 1434834581 wrt y.\nAnswer: -28*y**3 - 36*y**2 - 90462*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 28 = -2*l. Suppose -4*i - 2*n + 22 = -4*n, 4*n + l = 5*i. Suppose -a + 6*a - c = 8, -2*c - i = -a. Put 5, 2, a in decreasing order.\nAnswer: 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2253960 (base 12) in base 11?\nAnswer: -3794605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l - 7. Let n be z(2). Suppose n + 45 = 2*u. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, c: 1, d: 3, r: 1, p: 3, b: 2}. Give prob of picking 1 f and 1 d.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21364\/36)\/7 + 4. Let s = o + -89. What is the closest to -2\/5 in -2, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 5*n - 990 = 0. Let w be (-5)\/(5\/n)*-1. Let h = 98 + w. Let j(t) = t**3 - 1. Let b(a) = -2*a**3 + a**2 + 3*a + 3. Give h*b(o) - 3*j(o).\nAnswer: -o**3 - o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -5*y**6\/24 + 11*y**5\/30 + y**4\/24 - 6*y**2. Find the third derivative of k(n) wrt n.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-33)\/(-5))\/(15\/225). Suppose 0 = -2*r + 15 - 5. Suppose 3*d + 5*a = l + 100, -a = -r. What is the remainder when d is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**4\/84 + 2*v**3\/7 + 18*v**2\/7 - v - 17. Determine n so that p(n) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191*x - 36*x + 2235 - 2234)*(1 - 1 + 2 + (3 - 5 + 1)*(-4 + 3 - 1)).\nAnswer: -908*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59798313 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19\/4 + 12\/(-16). Is 3 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + (-8)\/(-2) - -8. Suppose -3*b - 3*w + 2*w = -36, -v*b = w - 62. Calculate the remainder when 126 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**31\/((f**31\/f)\/f) assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*a**2 - 11122*a - 110*a**2 + 11122*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = 4*s - 7*s. Let b(f) = -65*f - s*f + 135*f. Let l(q) be the third derivative of q**4\/8 - q**2. Determine l(b(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2077\/630 - 59\/126. Let s be (-5)\/((-2800)\/436) + 3. Let f = s - h. What is the common denominator of f and 123\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, v: 5, q: 1, m: 3, n: 1, c: 1}. Give prob of picking 1 m, 1 e, and 1 c.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (189 - 175) + 2 + -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -26, -45, -80, -137, -222, -341, -500?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -7 = -39283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 80730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (10 - 3 - 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0 = 8. Suppose 0*m - 245 = -3*m + 2*t, m = k*t + 95. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*s**3\/7 - 171*s**2\/7 - 66*s\/7.\nAnswer: -3*s*(s + 11)*(5*s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 minus 2131645370582?\nAnswer: -2131645370581.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -67680 divided by -705?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 312 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*90\/(-30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106146 + 525?\nAnswer: 110004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j**2 - j + j)*(3 - 3 + 1 + (0 - 4 + 5)*(-2 + 0 + 3)) - 50*j**2 + 31*j**2 - 21*j**2 to the form a*j**2 + w*j + y and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 2*b - 6*b. Let n = 0 + 0. Suppose 3*w + a - 27 + 4 = n, 0 = 4*w + 5*a - 38. What is the remainder when b is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61451*u**2 - 61485*u**2 + 122951*u**2.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-4\/35)*v*v**(-1)\/v*v**(-2\/15)*v assuming v is positive.\nAnswer: v**(-26\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -17256, 780 in increasing order.\nAnswer: -17256, -0.2, 4, 780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1908, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, -1, 0, -50, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 870310156.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.365 + 4.865. Which is the third smallest value? (a) -2\/33 (b) t (c) 1 (d) -2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-259)\/37 + (-3 - -4 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 6*a = 250. Find the first derivative of -4*c**4 - 41 + 116 - a*c**4 + 9*c**4 wrt c.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2\/2 - 271*w\/2 + 3509 = 0. What is w?\nAnswer: 29, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*a + 51*a + 8 = 3*t, -2*t = 4*a + 130. Sort a, 0.1, -3\/7, -5, 5 in descending order.\nAnswer: 5, 0.1, -3\/7, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*f**2 + 2770*f - 435 = 0.\nAnswer: 3\/19, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2060194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 99 = -163. Let z = -867 + 998. Let l = b + z. Solve l = -2*d + 3*d + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 10:57 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/18654376 and -79\/20986173?\nAnswer: 167889384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2368371, 4737119, 7105863, 9474603?\nAnswer: 11843339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10*((-2)\/8)\/((-9)\/18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-1 - -2)) + -11 + 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*c - 226330 + 237370 = 0 for c.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -59900 rounded to the nearest 1000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + o**2 - 2*o**2 + 4*o**2 + 0*o**2 + (2 + 0 - 4)*(-5*o**2 + 3*o**2 - o**2).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 70 = k + 10*f, 0 = -2*f + 11 - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 2263853 and 1856.\nAnswer: 2265709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 0*m = -4662. Is 39 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1308 and 35643?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 + 13485*s - 1495466\/3.\nAnswer: -(s - 40418)*(s - 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 3*x - 6)*(-2 + 5 + 1)*(-1 + 6 - 4) - 2*x + 0*x + x + (-3 + 0 + 5)*(0*x + 2*x - 4*x))*(-2 + x**4 + 2).\nAnswer: -17*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**6\/320 - 35*u**2\/2 + 3*u + 1. Let p(y) be the first derivative of v(y). Solve p(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9537*p**2\/7 + 42029562*p\/7 + 13221\/7.\nAnswer: 3*(p + 4407)*(3179*p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + l**2 - 9)*(3*l**2 - 4*l**2 - l**2)*(-l + 0*l + 0*l) + (0 + 0 + 2*l**2)*(2*l**3 - 5*l**3 + 4*l**3).\nAnswer: 4*l**5 - 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 7) to base 2\nAnswer: -110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5, 2*m + 13 = 4*x + 3*m. Suppose -r = x*f - 11, -2*f - 44 = r - 5*r. What is the derivative of 6 + r - 1 + 7*g**4 wrt g?\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (310\/25 - 4)\/((-1)\/5). Let o be (d\/(-9))\/(-7)*-24. Let j(t) = -o*t**2 - 6*t**3 + t**3 + t**3 + 15*t**2. Determine j(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226088169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 416684409 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*w - 10798 = -26449. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3022 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710.687006 microseconds in weeks?\nAnswer: 0.000000002828516875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 952*o - 953*o + q - 9 = 0, -o + 3*q = 13 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1993 is divided by 281.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3 + 68*p - 1 - 22*p + 11 wrt p?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 245, 235, 225, 215, 205?\n\"Answer: -10*d + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 1 - ((-12 - -13)*-4 - -6). Let c(q) = 3*q - 6*q + 3 - q. What is c(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -8, -2*u = 3*y + y - 4. Is 5\/u*(-5 + 6455\/5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(2*f**2 - 2*f**2 + f**4) + 0*f**2 + 0*f**2 + 62792*f**4 - 67663*f**4.\nAnswer: -4868*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49 and -83924.\nAnswer: 4112276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 15606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11301340 (base 5) to base 13\nAnswer: 38068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3337, 5357, 7381, 9409, 11441, 13477, 15517?\nAnswer: 17561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((88\/55)\/((-92)\/(-10)))\/(12406\/(-31015))?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0*k - 1\/3*k**3 + 7\/24*k**4 - 4 + 1\/60*k**5 - 14*k**2. What is i(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46375 - 73?\nAnswer: -46458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*s + 148 = -63*s. Let g = s + -70. Solve -9 = -0*y - g*y + 5*o, 4*o = 2*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(6\/(-4) - -2). Let l be (k - 2*-1)*2. What is the remainder when (-13)\/(-3) + l\/12 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 155*v**2 + 28*v - 21. Let z(k) = 31*k**2 + 5*k - 4. Determine 2*n(g) - 11*z(g).\nAnswer: -31*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 427284 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001072139639 rounded to 5 dps?\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 + 14 = 0. Suppose 5*f - 88 = 272. Calculate the highest common divisor of f and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -1, 0.067, 4, -0.1, -2.08, -1\/4?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1010\/1461?\nAnswer: 1010\/1461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54872734 is divided by 299851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43281*g + 909*g - 8807*g.\nAnswer: 35383*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*o - 10*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from fhfzcbbpcbzfpz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 851 + 1581 = 2*d. Suppose v - 601 = -o - 3*v, -2*o - v + d = 0. Suppose 36*c + o = 39*c. Calculate the highest common factor of c and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-31 + 30)\/(1\/(-2)*1). Solve 3*f = -b + 8, -10 = -4*b - n*f + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11321014204 - 11?\nAnswer: 11321014143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l. Suppose c + 2 = -x + 2*c, -5*c + 2 = -x. Let y be (7 - 1)*1\/(-2). Let w = x - y. Calculate f(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4688705 and 248501365.\nAnswer: 248501365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**3 + 2948*p**2 + 427180*p - 44824884 = 0 for p.\nAnswer: -403, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 4 = -2*g + 5*o, 10 = -5*o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49165, 100536, 151907?\nAnswer: 203278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 4*x + 5. Let w be p(4). Let l = -32.6 + 33. Which is the third smallest value? (a) w (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let u(n) = -1793233776*n**2. Determine u(a(w)).\nAnswer: -1793233776*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 12) to base 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*u - 46. Let d = 41 - u. What is the greatest common divisor of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from {z: 2, y: 2, u: 1, g: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 84\/10 - 10\/25. Suppose g = 5*z - 14, 2*g = -3*z + z + d. Suppose 0 + 2*i**z - 3\/2*i**2 - 1\/2*i = 0. Calculate i.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*t - 1427, 8*v - 2381 = 3*v + 4*t. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5683638?\nAnswer: 2, 3, 823, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (0 - -16) - (-6 + 12 + 3 + 2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.89 + -0.29\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g**2 - 2*g + 4*g - 2*g.\nAnswer: 44*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430 and 46904056?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9780.90014 + -9781. Round o to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(1331) + 0 + -2 - -6*(sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 1)))) + -3)*-4 + -2)**2.\nAnswer: -129360*sqrt(11) + 5226340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 6*g**2 + 7*g - 3. Suppose b - 15 = m - 3*b, 2*m + 5*b - 35 = 0. Let a be x(m). Calculate the highest common divisor of a and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 44*r**3 - 9 + 3\/100*r**5 + 726\/5*r**2 - 43\/20*r**4 - r. Factor u(b).\nAnswer: 3*(b - 22)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*j - 98. Suppose 6*f - 14*f - j = 0. Let t(a) = -15*a + 29. Let i(m) = -7*m + 14. Let u(c) = f*t(c) + 13*i(c). Determine u(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 29, -4, -1\/5, -1 in increasing order.\nAnswer: -4, -1, -1\/5, 2\/17, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1036 by -148.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 16 = -3*a + 35, 5*a - 5*i = 110. Let z = -13 + a. Suppose 0 = -2*p - 2*p + 16. Solve 8 = -p*g + z*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 - ((16 - 29) + 22)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 21 - 5331*r - 92 + 31 + 16.\nAnswer: -5331*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.035 minus 2.7?\nAnswer: -3.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**2 - 60*f + 62 = 0.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*y = -8*y - 4, -3*b + 3*y + 12 = 0. Find the second derivative of a**2 + 5*a - a - b*a wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqfqqqqqfq.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 444271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1636601326.\nAnswer: 2, 818300663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1181 + -1122. Solve 0 = -s*r - 196 - 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k + 395. Calculate q(51).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 479300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*q - 12, 3*l - 2*q - 2*q - 8 = 0. Solve 0 = -x - 3*h + 4*h - 4, 4*h + l = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20997\/2 - 10498. Factor -3\/2*d**3 + 0 + t*d**4 + 0*d**2 + 2*d.\nAnswer: d*(d - 2)**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 776886674*n**3 - 3863*n**2 + 56648*n wrt n.\nAnswer: 4661320044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 - o. Let q(f) be the second derivative of -f**4\/3 - 5*f - 3. Calculate -3*a(x) - 4*q(x).\nAnswer: x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6486 - -10169. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(-3*sqrt(3)*-1))\/((sqrt(40)*-1 + sqrt(40))\/sqrt(8) + (sqrt(30)*-1 - sqrt(30) - sqrt(30))\/sqrt(6)).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/100 and -63\/4154.\nAnswer: 207700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 + (-23 + (45 - 41) - -25).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 936631851 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -33, -2, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 2*d - 2. Let y(r) = 7 + 4 + 11*r + 3*r**2 + 2*r**2. Let z(g) = 11*w(g) + 2*y(g). Let l(i) = 14 - 7*i - 9*i - 14. What is z(l(o))?\nAnswer: -256*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 45 + -3 - ((-13 - -12) + 11 + -18)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15521*t**2 - t + 288*t**2 - t.\nAnswer: 15809*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1454\/3635)\/(3\/(-155))*(-3)\/2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 1:34 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 56?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162965121.\nAnswer: 3, 11, 47, 105071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1. Let t be s\/3*30\/(-5). Factor q**2 - q + 0*q + 0*q**t.\nAnswer: q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1735 or 364602?\nAnswer: -1735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2. Let b(h) = 1903*h - 1001. Give b(i(p)).\nAnswer: 1903*p**2 - 1001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a. Let i(z) be the first derivative of 1\/2*z**2 - 1 - z + 1\/3*z**3. Suppose 6*k - 6 = 3*k. Determine k*y(d) + i(d).\nAnswer: d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in -487, -3, 0.4, -1\/2, 2.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 2, 0 = -13*u + 11*u + 4*s + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 928, 3934, 8952, 15988, 25048, 36138, 49264?\n\"Answer: r**3 + 1000*r**2 - r - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -17 + 19 + 13 + -20.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/4 - 9\/12. Let z be (x - -2)\/((-2)\/2). Let f(h) = h**3 + h**2 + 2*h + 1. Let s be f(z). Which is greater: s or -3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*l - 78384, 4939 = l + 2*o - 10730. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5600)\/(-1750)*(-9)\/18\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**4\/3 - 8*g**3 - 100*g**2\/3 - 56*g - 30 = 0?\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 3, 15, 32, 28, 0 in descending order.\nAnswer: 32, 28, 15, 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57 - -92) + (-90 - -10) + -35?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 16*(-6 - -3)\/6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -5.9. Let s = -13 - -14. Let j = -110 + 548\/5. Which is the nearest to j? (a) 4\/3 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 40 - 46 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (5\/10 - 45\/2) + -793 + 792?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**31*t)\/(t*t\/(t\/(t*(t*((t*(t*t*t**23*t)\/t*t)\/t)\/t)\/t))*t*t) assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g + 8. Let s(a) = 20. Let m(v) = 59. Let d(w) = m(w) - 3*s(w). Determine 24*d(y) + 3*p(y).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33527 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 100123?\nAnswer: -100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 137.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8689*y**2 - 21*y + 21. What is the units digit of d(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5525 - 404. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9204769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 21. Let g be k(-11). Let t be (-6 - -6 - 0) + g\/4. Let f be 2\/27*3 + (-41)\/144. Are f and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 1:03 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4741786 and 52830?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*t - x, 5*t = -0*t - 2*x. Suppose 2*f = 4 + t. Suppose 0 = -7*l + 57 - 29. Calculate the remainder when l is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/37 + 53\/111. Which is the third biggest value? (a) 39 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14601.\nAnswer: 3, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - h**2 - 21. Let v(z) = z + 6. Let j be v(-6). Calculate s(j).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 + 2463920*r - 10950272*r.\nAnswer: -8486352*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(16\/5)\/z*z)\/z)\/(z**(-23)\/z) assuming z is positive.\nAnswer: z**(131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.8 - 11.8. Let d = 1.3 + 1.7. Which is the nearest to 0.1? (a) 0.05 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 337952?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003625542 rounded to 4 decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1)*(-284)\/4. Let i = m - -166. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*3*22\/(-11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -20) + 2 - (-1 - -5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2477 by 96738.\nAnswer: 2477\/96738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from xxaxaaxaxaxxx.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5717, -23805, -54299, -97199, -152505, -220217, -300335?\nAnswer: -392859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzjbyyybyyrj. Give prob of picking 2 b and 1 z.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20504 + 36943. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {r: 9, v: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649 is divided by 157.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62306, -124299, -186268, -248213, -310134, -372031, -433904?\nAnswer: -495753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 0, -177, 3, 18741 in descending order.\nAnswer: 18741, 4, 3, 0, -5, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {j: 8, l: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*u**4\/3 + 300*u**3 + 320*u**2 + 368*u\/3 + 16 = 0. Calculate u.\nAnswer: -6, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 2\/9 (b) -0.3 (c) -28 (d) -155\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 1, e: 2, d: 1}. What is prob of picking 2 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2727\/(-81) + 34 - ((-208)\/(-24))\/((-5)\/(-10))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*f + 84. Let i = f + 31. Suppose -94 = -5*p + i*p. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 602\/15 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p. Let l be c(-7). Suppose -v = -4*b + 17, 5*v = -5*b + l + 8. Let y be (1 + 1 - b) + 8. Solve -h + y = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -389*w**5 + 4*w**2 - 188*w wrt w.\nAnswer: -7780*w**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 17*a**2 - a**2 + 0*a**2. Suppose 375*m - 370*m = 80. Let n(v) = -15*v - m*v + 33*v. Determine n(j(k)).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.152 - -0.152. What is the nearest to 1 in u, 0.2, 24, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 != 4665\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/4 and 6\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 7*b + 9\/2*b**2 - 4\/3*b**3 - 1 - 1\/4*b**4. Let m be k(-6). Solve -5*g - m = 5*q, -g = -0*q + 2*q + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57\/5 of a gram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**2 + 72*h - 1 - 73*h - 509*h + 7*h**2.\nAnswer: 20*h**2 - 510*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 18 = -322*p + 325*p, -5*p - 4*d = 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-1\/4)*m)**49*(m\/(m**(-1\/4)*m))**(-1\/19))**43)**(-4\/7) assuming m is positive.\nAnswer: m**(-280188\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5*364020.6\nAnswer: -1820103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4)**(4\/11)\/(d*d\/(d\/((d\/d**(-8))\/d)))**(-6\/7) assuming d is positive.\nAnswer: d**(706\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 8:26 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -1874?\nAnswer: 1876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-204))\/(3\/(-8)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30204250 (base 6) in base 10?\nAnswer: -856326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**2. Let p(r) = 92. Let x(o) = -517*o - 460. Let s(u) = 5*p(u) + x(u). Determine h(s(v)).\nAnswer: 1603734*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -59. Suppose 4*a = z*a - 3. Is 10 a factor of (20 + -6)*a\/((-12)\/(-34))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 + 52*d - 1064. Determine j(9).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6606704*0.4.\nAnswer: 0.66426816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13345*x + 15 = -13340*x. Let a = 37\/3 + -23\/2. Sort a, 0, x in ascending order.\nAnswer: 0, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3329, 13898, 31523, 56204, 87941, 126734?\nAnswer: 172583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11998 or -12000?\nAnswer: -11998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -91, -79, -63, -43, -19, 9?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 516 in 7\/369, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.53 + -6.5299719. Round p to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 11:43 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12847736 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412 + -0.2.\nAnswer: -412.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12442136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -482102 + -10?\nAnswer: -482112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74072 not equal to 74072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10110101100101111?\nAnswer: 10110101100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**3 + 12762*m**2 + 5082?\nAnswer: -3*m**2 + 25524*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, j: 17}. Give prob of picking 2 l and 2 j.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 356469707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 909749 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 135*y - 942. Let f be o(7). Sort 10, f, 1.34 in ascending order.\nAnswer: 1.34, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*x - 3*x - 156 = 0, 0 = -2*b - 2*x - 78. Find the common denominator of -39\/7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 0*r**3 - 6\/5*r**5 + 5\/2*r**2 + 6 + 0*r**4 + 0*r. What is the second derivative of l(j) wrt j?\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 245*d**3 + 10692430*d**2 + 6109900*d + 872840 = 0. What is d?\nAnswer: -43642, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 9:02 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 78, 0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(6\/7)\/(g\/g**(-2\/15))*g**8\/g**(-7))**34 assuming g is positive.\nAnswer: g**(52564\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + 47*m + 36*m + 32117.\nAnswer: 90*m + 32117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1324 is divided by 269?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**4 - 859*i**3 + 30927*i**2 = 0.\nAnswer: 0, 183\/4, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -100*u + 5. Let n(y) = -49*y + 3. What is -4*i(l) + 7*n(l)?\nAnswer: 57*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = o - 6, -7 - 3 = 2*r - 4*o. Let s(q) = 4*q**2 + 1. Let z be s(r). Solve -3*a + 10 = -z*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45494*m - 2*m**2 - 45494*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1809625 divided by -5.\nAnswer: 361925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 7, z - 3*k = 15496 + 176674. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 251*u**2 - 271*u - 338247 wrt u.\nAnswer: 502*u - 271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159*h**5 + 8*h**3*k - 2*h**2*k + h**2 - 15*h*k + 2*h + 518*k wrt h.\nAnswer: -9540*h**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 1557384048?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 35\/2*i**2 + 77 + 1\/16*i**4 + 50*i + 11\/6*i**3. Factor a(p).\nAnswer: (p + 2)*(p + 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -7, -1 in ascending order.\nAnswer: -7, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1832766 + 224?\nAnswer: -1832542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -124 + 194. Suppose 0 = 178*y - 188*y + 420. What is the greatest common divisor of i and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 479, 1905, 4275, 7583, 11823?\n\"Answer: -x**3 + 478*x**2 - x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 75*c**5\/7 - 90*c**4\/7 - 69*c**3 + 18*c**2 + 300*c\/7 + 72\/7 = 0?\nAnswer: -2, -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 103134*-18.18\nAnswer: -1874976.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -26. Let r be (-2)\/(-1)*(3 - l). Is 4\/r*0 + 1259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 126 or 1377\/11?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 0, -13*t + 12*q - 2345 + 1838 = 0 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 10. Suppose d = -i - 0*i - 10. Let v(g) = g**3 + 11*g**2 + 7*g - 13. What is the units digit of v(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -193.301 - -194.3. Let j = -0.0983 + -0.9017. Let x = t + j. What is x rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - u**2 - 77 - 81 + 11*u**2 - 12*u + 144. List the prime factors of i(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265 (base 7) to base 5.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144690, 578733, 1302136, 2314899, 3617022, 5208505, 7089348?\nAnswer: 9259551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2\/11, 20, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by 213?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1372, -0.4 in decreasing order.\nAnswer: 0.5, -0.4, -1372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, v: 3}. What is prob of sequence vv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -15*d**5 - 159*d**4 - 459*d**3 - 165*d**2 + 150*d = 0.\nAnswer: -5, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t*t**(-6))\/t*t))\/t)\/t**(-2\/9))**(-3\/11)\/((t**(1\/5)\/(t*t**(-2\/15)\/t*t))\/(t**(-1\/3))**(-12\/5)) assuming t is positive.\nAnswer: t**(7\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*t**2 + 18 + 0*t**2 - 18.\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72.08343 - -4456593.91657. Let n = 4456665.3800078 - w. Let p = n - -0.62. What is p rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 23 = -3*v - v, 5*v + 10 = 0. Let l(w) = 2*w**2 - 8*w - 7. Let h be l(z). Suppose 0 = h*k - 63 - 102. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmm. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {z: 1, l: 2, j: 11, t: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + -0.9. Let k = 1.1015 + q. Round k to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -4*j**3\/3 - j**2\/2 - 18*j. Find the first derivative of s(z) wrt z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -17. Suppose 0 = -2*o - 4, -3*r + 2*r = o - q. Suppose -5*s = k - 3 - 4, s = r*k + 11. Solve 5*u = -2*p - 5, u - s = -3*p + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.00658? (a) 0.1 (b) -6 (c) -38 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4264055450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*v + 2*a + 2, v + a + 7 = 0. Let o be v\/(-2)*13\/((-130)\/179655). Is (-6)\/21 - o\/49 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.6922454 weeks?\nAnswer: 418670017.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -2 (c) 0.34 (d) -11 (e) 163 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - 5. Let i = 18 + q. What are the prime factors of 34\/i*(2 - 1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7*f + 270 = 0. Let h = -26 - -44. Calculate the highest common divisor of f and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44423, -55962, -67501, -79040, -90579, -102118?\n\"Answer: -11539*z - 32884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 7 - 23. Let w be 28\/182 + ((-3108)\/39)\/(-2). Suppose w + 62 = 17*a. What is the lowest common multiple of x and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -562 - -822. Suppose y - 20 = 4*k. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 1, h: 1}. What is prob of sequence zhs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/30 - (7021\/(-255))\/59?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 + 6*a**2 + 26*a + 6. Let u(z) = 2*z**3 + 5*z**2 + 26*z + 5. What is 5*h(x) - 6*u(x)?\nAnswer: -2*x**3 - 26*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 12:48 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*j - 24, -2*l = 5*j + 3 - 15. Let v(q) = 11*q + 2 - 5*q - q**3 + 2 + 5*q**2. What is v(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50313 (base 8) in base 5?\nAnswer: -1130213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18159, 144771, 488273, 1157109, 2259723, 3904559, 6200061?\n\"Answer: 18074*v**3 + v**2 + 91*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.25, -35, -11, 2\/7, 69, 2\/13.\nAnswer: -35, -11, -2.25, 2\/13, 2\/7, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*v + 23. Suppose 3*r + 6 = u, 4*u = -4*r - 45 + 5. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14158329*p**4 - 19142658*p wrt p.\nAnswer: -169899948*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 6:46 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 134145, 134144, 134143, 134142, 134141, 134140?\n\"Answer: -r + 134146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173423 + 84471 = 13*o. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = -4*u + 14, -3*u + 3*l + 3 = 0. Suppose 40 = 2*s + u*g, 0 = 4*s - 4*g + 3*g - 52. Suppose 6*p - s*p + 1016 = 0. List the prime factors of p.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000909049 to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4*f + 712, -4*k - 9*f = -6*f + 1419. Let c = -197 - k. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1785 - 1713. Calculate the greatest common divisor of n and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k*m**3*t**3 - 161*k*m**3*t - 5*k*m**2*t**3 - 2*k*m*t**3 + 2*m**2*t**2 + 4*m*t**3 wrt m?\nAnswer: 12*k*t**3 - 966*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 133.2575 + -133. Let k = v + -0.26. Round k to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**4 - 7*a**3\/3 - a**2 - 3*a + 18. Calculate the smallest common multiple of 12 and x(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/18 + (21 - (-68541)\/(-3267))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 k when three letters picked without replacement from {k: 7, l: 3, u: 4, m: 4}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 235?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2 + 4*f**2 - 62*f**2 - 2*f**3 - 2*f**3 + 12 - 83 + 3*f wrt f?\nAnswer: -24*f - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**3 - 9*p**3 + 6*p - p + 286*p**3 - 857 + 857 + (-p**3 - 2*p**2 + 2*p**2)*(-1 + 3 - 1) to g*p**3 + j*p**2 + s + f*p and give g.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 125 = -5*p. Suppose 3*c - p = 2*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30552 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b + 20. Let v(w) = -w + 8. Let o be v(b). Let x(y) = y**2 + 5*y. Let s(l) = -l**2 - 5*l + 1. Let i(t) = o*s(t) - 3*x(t). What is i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547390043 to the power of 1\/2, to the nearest integer?\nAnswer: 23396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 2, -34\/19, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y + 8. Give b(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.57 and 0.06?\nAnswer: -0.0342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8718 by 1703.\nAnswer: 8718\/1703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 + 14*t**2\/3 + 12*t.\nAnswer: -2*t*(t - 9)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15904 and 53044384.\nAnswer: 371310688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + n**2 + n - 1. Let x = -342 - -342. What is a(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -46. Let b = h + 81. Calculate the highest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 + 26 = 14*z - 19 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1847994 or -1847993?\nAnswer: -1847994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + -3 + 1 + 1 - (-604 + 601).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -u + 13, 0 = 2*n - 31 + 25 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6 = 22. Let i be (-4)\/16*x*0. Suppose i = b - 3*b + 12. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7238\/461 - 5975579\/7376. Let r = 794 + j. Let u = 2074 - 53857\/26. Calculate the common denominator of u and r.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 81)*(-3 - 1*30\/(-12)). What is the second biggest value in -2\/11, i, 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 7*s**2 - 2. Let i be u(7). Let w = -6865\/7 + 987. Let g = 6 - w. Which is the closest to g? (a) i (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 737186 - 270759. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.69804s to nanoseconds.\nAnswer: 26698040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/5))**(1\/4) assuming h is positive.\nAnswer: h**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from mjrsrjj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.83 - -0.17. Let o be (-8)\/(-6)*(-36)\/64. Let m = 0 + -1. Sort m, q, o in decreasing order.\nAnswer: q, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 + 10001001110100111110101?\nAnswer: 10001001110100111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.11640068\nAnswer: 0.46560272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5 + ((-70876)\/1880 - (-4)\/(-40))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1369 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 - 2*d - 2. Let b = 67 - 68. Let l be q(b). Let k be (l\/6)\/(4\/(-36)). Solve -k*c + 2 = -c + 2*s, -23 = -5*c + s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/66 + y**3\/11 - 4*y**2\/11 + 24*y - 36. Let b(s) be the first derivative of q(s). Factor b(f).\nAnswer: 2*(f - 1)*(f + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b4c + 0?\nAnswer: -3b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -658, -1278, -1882, -2464, -3018?\nAnswer: -3538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 1, b: 1, i: 1, x: 2, g: 1}. Give prob of sequence tg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 318780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 37?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-36) - (-2347)\/9. Let d = m + -185. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9))**(10\/17)\/(c**11*(c*c**(-14))\/c) assuming c is positive.\nAnswer: c**(439\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 291*o**3 - 4 + 6 - o - o**2 - 1 - 292*o**3. Let k(u) = u. Determine a(n) + k(n).\nAnswer: -n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30240 and 14100?\nAnswer: 7106400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from pppppsspspp?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6403*b + 12742. Let z be j(-2). Let t(p) = -63*p**3 - p**2 + p. Let w be t(1). Is z < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, l: 7}. Give prob of sequence luu.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/1362 and -27?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d9da2 - -85?\nAnswer: 1da047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2240\/462)\/80*(-44)\/6\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*b + 54, -3*c + 3*b - 83 = 49. Let a be 204\/(-26) + 6\/c. What are the prime factors of 42\/a*16\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -85 (b) -0.1 (c) -93350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -42, 54, -101\/5?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 120257 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -8. Let j be (4 + q - 4) + 2. What is the derivative of -12 + g + 4 + 9*g - j wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**2 - 5*d**2 - 12*d**2 - 43*d.\nAnswer: -2*d**2 - 43*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/4)*(k**(-10)*k)\/k*(k**(-2)\/k)**(-12\/11) assuming k is positive.\nAnswer: k**(-307\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((84\/(-16))\/7)\/((-98)\/(-56)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**2 + 188*i + 63. Give z(-31).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 10934870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/16)\/((-2)\/(-188)). Suppose 0*y - i = -y. Let z = y + -34. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 + r - 2. Let c(x) = x**2. Let w(p) = 3*c(p) + d(p). Let j be w(1). Suppose 4*g - 2*k = -0*k + 14, -j*k = -g - 1. Solve -g*q = q - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*o - 161 = 0, -5*y + 2*o + 145 = 7*o. Suppose 7*p = -y - 18. Let b(r) = r**3 + 7*r**2 - 6*r + 1. What is the remainder when b(p) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1306 - 1294. Let b = 20 + -1. Let o = b - i. Calculate the remainder when 33 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24884021 + -8?\nAnswer: 24884013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 971297 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -2*s**6\/15 - s**5\/5 + 5*s**4\/3 - 2*s**3 + s + 33. Factor j(a).\nAnswer: -4*a*(a - 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwtwjjwwjwzwzbzzt. Give prob of sequence bwtt.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 376 = -2*w, 3*w = 30*f - 27*f - 564. Which is smaller: -189 or w?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggbbb. Give prob of sequence bb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let z(h) = -4*h. Let i(a) = 7*n(a) - 2*z(a). Let f(v) = 9*v**2 - 5*v**2 + 3*v**2. Determine i(f(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (611823\/(-76))\/(3\/6). Let a = h - -16102. Let b = a + 1279\/418. Find the common denominator of 99\/2 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/114 and -1\/198.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Suppose 4*q - 4*w = 32, -r*w - 17 = -2*q + 4. Suppose q*p + 2*p = -2*s + 25, 2*p = -2. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 4. Let h be (6 + -4)\/((-338)\/114 + 3). Suppose -h = 19*z - 285. Calculate the lowest common multiple of z and a(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = 12. Suppose 5*g = v*g + 3. Suppose m + 20 = -4*r, 5*m = r + 1 + 4. Which is the smallest value? (a) r (b) -2\/11 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.9, 90\/23, -25\/236?\nAnswer: -25\/236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 - 7*n**2 - 1465 + 3*n**2 + 2*n**2 + 607 as x*n**2 + a*n + v*n**3 + y and give y.\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-4))\/3 - (-4)\/(-48). Which is bigger: t or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + y + 4 + 0 - 2*y. Let l be v(-4). Let h be l - 3\/(-1) - 1. Is 2 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (184\/(-12) - -15)*(-5)\/(-1)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q - q)*(-q**2 + 0 + 0) + (4*q**2 - 3*q**3 - 4*q**2)*(-3 + 0 + 5) + (-2*q**2 + 2*q**2 - q**3)*(1 - 1 + 1).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22122\/13 + 3401\/2. Calculate the common denominator of 45\/4 and n.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -25*x**2. Let n(q) be the third derivative of q**5\/30 + 43*q**2. Calculate t(n(s)).\nAnswer: -100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(76\/(-10))*(-638)\/1595.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(7\/6)*k**(-17) assuming k is positive.\nAnswer: k**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5878 + 11991. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 37 - 4*g)*(-6*g + 4*g + g) + 2*g - 2*g - g**2 + (0 + 0 - 2)*(-2*g**2 - 2 + 2) + 0*g**2 + 4*g**2 - 3*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 25, 33, 35, 25, -3?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 197 = 154. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45740 + 45739.81553. What is c rounded to three decimal places?\nAnswer: -0.184","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3336050716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-9)*(-117)\/2. Let z = f - 33. What is the lowest common multiple of 14 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*p = 53*p - 14. Which is the third smallest value? (a) -13 (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -24 + 4. Suppose z*j - 45 = 3. Suppose -105 = 7*o - j*o. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*y + 154*y - 478*y + 220*y + 141*y.\nAnswer: 242*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2932 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 9.93. Let u = 40.499 + -43.499. Let z(v) = v**3 + 3*v**2 - 5*v + 1. Let f be z(-4). Sort d, f, u.\nAnswer: u, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/6*336\/756?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 30*h + 32*h)*(0*h - 4*h + 2*h)*(0 + 5*h + 0) + 6*h**3 - h**3 - 4*h**3.\nAnswer: -639*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209414030.\nAnswer: 2, 5, 7, 2991629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-5) + (32 - -1). Let v = 1 + g. Calculate the greatest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -172 - -116. Let t = 29 - i. What are the prime factors of t?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 1. Let f(v) = 15*v - 9. Let z(m) = f(m) - 4*k(m). Let o(s) = -7*s + 3. Let b be -1 - 18\/(2 + -5). Determine b*z(i) + 8*o(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 3*c - 937, 0 + 3 = c. What are the prime factors of x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/28 + 3)\/((-112)\/4312) - 192\/(-17).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 1) + (8 - 45) + 38 - (-74 + 7)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**4*x - 101*u**4 - u**3*x - 8802*u**3 - 143*u**2 + 18876*x wrt u?\nAnswer: -48*u*x - 2424*u - 6*x - 52812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 11*g - 47, 0 = y - 2*g - 192 + 201 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 200012002021?\nAnswer: -200012002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - l + 47, -3*i - 27 = 222199*l - 222197*l for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12637.\nAnswer: 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 3*q**3 + 6*q**3 + 2*q**3 + 0*q**3 - 13*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/2 - -1)*1 + -10. Let y(a) be the third derivative of a**4\/24 + 2*a**3\/3 + 5*a**2. Let x(h) = -h - 3. Let p(b) = -6*x(b) - 7*y(b). What is p(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -h + 6 - 9, -4*h + i = -3. Suppose 7*t = 2*p + h*t - 434, -t + 617 = 3*p. Calculate the highest common factor of 36 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1687*a. Let b(k) = 2*k**2. Calculate b(g(c)).\nAnswer: 5691938*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 38. Let l = -22 - w. Let q = l + -8.00088. Round q to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 691790856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 + 0)*(5 - 3 - 1)*(2 - 2 - 1)*(-3*r + 2 - 2).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27349 and 171908?\nAnswer: 1203356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2602788*q - 2602788*q - 13223*q**2 in the form t*q + s + d*q**2 and give d.\nAnswer: -13223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 7*h**2 - 2*h - 10. Suppose 28 = -5*t - 7. Let f be v(t). Suppose -f*j = j - 50. What is the lowest common multiple of 4 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 85 = 20. Let y(w) = -w**3 + 14*w**2 - 13*w + 3. Let s be y(r). Let u = s + 5. What is the remainder when 13 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -477360 rounded to the nearest ten thousand?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 3. Let q be f(6). Let h = 3 - q. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -77, -77, -95, -137, -209?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52\/349 + 39957\/3490. Let z be 1451\/(-1036) - -3 - (-2)\/7. Let o = z - 5\/37. Calculate the common denominator of x and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 7) to base 5.\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 2231775, 0 in ascending order.\nAnswer: 0, 1, 5, 2231775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvs when four letters picked without replacement from {s: 3, v: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -381, -1181, -2513, -4377, -6773?\nAnswer: -9701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -3\/8, -1\/2 in descending order.\nAnswer: 63, -3\/8, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 17846009.\nAnswer: -7\/17846009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*q*v**2 + 8*q - 75*v**2 wrt q?\nAnswer: -13*v**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 13\/12*v**4 + 6591\/2*v**2 - 140*v + 0 + 1\/180*v**5 + 169\/2*v**3. Find g, given that j(g) = 0.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/(3*(-19)\/(-342))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9951053.\nAnswer: 7, 281, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*v - 83*v + 8. What are the prime factors of (135 - -2) + v\/3*3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97*-1.1083.\nAnswer: 107.5051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/(-1)*15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -8 - -1) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*n**4*s - 3*n**4 - 23338*n**3*s - 248*n**2*s + 3*n**2 + 4*n - 221*s - 1 wrt n?\nAnswer: 312*n*s - 72*n - 140028*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -26)\/(1\/1). Let v = 40 + -28. Suppose -51 = -4*w - 3*z, 0*w = 3*w - 3*z - v. Calculate the highest common divisor of i and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (-20 - (-8 - -12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*h - 16 - 10, -18 = -h - t. Suppose -5*o = -2*o - 126. Calculate the remainder when o is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1698.619ml?\nAnswer: 1.698619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 126605, 126604, 126603, 126602, 126601, 126600?\n\"Answer: -h + 126606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178091.\nAnswer: 178091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*x + 5*h - 84, -2*x + 12 = -5*h. Calculate the remainder when 77 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*h - 13, -h - 4*u - 17 = -0*u. Let g be ((-80)\/24 + 3)\/(h\/6). Determine n so that 4\/5*n**2 - g*n + 0 - 2\/5*n**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2. Let g(p) be the second derivative of 11*p**4\/3 - 405*p. Give q(g(d)).\nAnswer: 7744*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 10:14 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -3\/5 (b) 0.686 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 410 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + g**2 + 2*g**2)*(7*g - 19*g + 20*g + 18*g).\nAnswer: 52*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 11*j**2 + 4*j + 2. Let y be a(11). Let m be (y\/(-8))\/(1\/(-4)). Solve 5*p + 2 = -m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43377767?\nAnswer: 43377767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**3 - 68171*s**2 + 817928*s - 1363180 = 0.\nAnswer: 2, 10, 68159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t**3 + 135912*t**2 + 3494415*t - 1179906 = 0 for t.\nAnswer: -26, 1\/3, 15127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 5*o**7\/21 + 9*o**6\/10 + o**5\/20 - 5*o**4\/3 + o**3\/3 + 9*o**2 + 122*o - 9. What is the third derivative of u(j) wrt j?\nAnswer: 600*j**2 + 648*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p = -51*p + 34. Let n = 0.1 + -0.5. Which is the third biggest value? (a) -0.5 (b) p (c) 4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30108618*z**2 - 4*z + 78903073 wrt z?\nAnswer: -60217236*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35\/188 - -3\/47. Let n = 177\/2 - 91. What is the closest to k in -2\/7, -1, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79896229?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -146200 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9031, 33920, 75415, 133528, 208271, 299656, 407695?\n\"Answer: 2*m**3 + 8291*m**2 + 2*m + 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -26*g + 292. Determine o(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1065*r - 1087*r + 1628 = 0. Solve -23*g = 41 + r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 3)*(202*q + 940*q - 216*q)*(5 - 1 + 0)*(-4 + 0 + 5 + (4 - 1 - 4)*(1 - 1 + 2)) to h + i*q and give i.\nAnswer: -3704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/4 - 95*n**3\/4 + 51*n**2\/2 + 2043*n - 8370.\nAnswer: (n - 93)*(n - 6)**2*(n + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.001 - 0.419. Let x = 0.02 + p. Which is the second biggest value? (a) 3 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l = -37*l - 56. Solve l*o + 51 = 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -303500\/3 at least -101167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*((-23)\/(-3) - 6\/9). Let h(q) = -6*q + 12181*q**2 - f + 23443*q**2 - 1. Let d be h(-4). What is d rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 48*j + 65. List the prime factors of s(7).\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 980938 is divided by 2102?\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/4661162 and 127\/61710?\nAnswer: 69917430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*x**3 + 2*x - 6*x**3 + 0*x.\nAnswer: 66*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220791 + 215079 = -272*d for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 76 = 2*l. Let a = l + -23. Suppose a*s = 38 + 22. Calculate the greatest common factor of 20 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.8, 6, -17\/5, -0.5, 5, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + sqrt(68))*3 - -6*(((-2 + sqrt(68) + sqrt(68) + sqrt(68))**2 - sqrt(68)) + 1).\nAnswer: -150*sqrt(17) + 3715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 9370960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -15.4. Let i = 0.4 - z. Let s be 10\/(-8) + (-12)\/(-8). Which is the nearest to 0.1? (a) i (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2579*u**3*y**2 + u**3*y - 4*u**2*y**2 + u**2*y + u*y**2 - y + 30 wrt u?\nAnswer: -15474*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10854?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/9 equal to 5554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26380 and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 115162286 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 5)\/8*24\/15. Put 1\/4, 5, m, -4 in decreasing order.\nAnswer: 5, 1\/4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 164 + (6 - (-6 - -15)). Calculate the highest common divisor of c and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 453. Let m be c(0). Let t = m + -200. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88217642*o**2*y**3 - 16*o**2*y**2 - 1472*o**2*y - 4*o**2 - 23*o + 2*y**3 wrt y?\nAnswer: 529305852*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01015 (b) -2 (c) 0.0627 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 0*r**2 - 4*r + r**2 + 1. Let u(s) = 3*s**2 + 1. Calculate the remainder when m(5) is divided by u(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**3\/3 - 2*j**2 + 4*j + 3. Let s be r(4). What is the lowest common multiple of 5 + -3 - s\/2 and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9264*r + 9337*r - 16920*r to the form t + f*r and give f.\nAnswer: 1681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uffuuuffufiuuf. What is prob of sequence ui?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1900251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -33*u**2 - 5. Let n(c) = 65*c**2 - c + 12. Let a(i) = -7*j(i) - 3*n(i). What are the prime factors of a(-4)?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/((-7176)\/(-2880)) - (0 + 9)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 = -y + 24. Find the common denominator of 43\/8 and (-2)\/11 - y\/154.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = 2*b. Let q(t) = t**3 + 7*t**2 + 5*t + 1. Determine q(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 0*p**4 + 0*p**3 - 24*p**2 - 7\/60*p**5 + 0 + 0*p. Let a(b) = b**2. Calculate a(t(m)).\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*n + 20, 2*n = -2*i + 4*n. Let r be 24\/(-10)*20\/(-6). Let y be (2\/3)\/((-6)\/(-27)). Solve -i*l = -y + r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -3 - -1)*4. Let r be 66\/(-12) - 2\/z. Let w(f) = 2279*f**2 + 7*f - 2. Let y be w(r). Round y to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 7908.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -539 - -544. Suppose -3600 = -v*r - 5*l, 5*l = 7 + 3. List the prime factors of r.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 1 - 6983*g**3 - 18127*g**3 + 2*g - 2*g.\nAnswer: -25110*g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/((-20)\/8). Sort 0.3, j, -0.06 in descending order.\nAnswer: 0.3, -0.06, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56, -2, 64, 148, 256?\n\"Answer: v**3 + 47*v - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -631.2331 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 796200 and 5400?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = 2*q. Let u = q + -4. Let r = u - -47. Calculate the highest common divisor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13940 times -5?\nAnswer: -69700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -0.2, 0.9, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + 1 + (-4 - -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 583273375 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 235? (a) 0.2 (b) -2 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1054, -2183, -3434, -4867, -6542?\n\"Answer: -10*n**3 - n**2 - 1056*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pup when three letters picked without replacement from {p: 4, u: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = h + 3. Suppose -3*f - 5 = -h*d - 1, 2*d = -2*f + 8. Suppose -3*o = f*o + 42000000. Round o to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1228711 divided by 19?\nAnswer: -64669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m**2 + 6*m. Let a(x) = x**2 + x. Let f(c) = -2*c**2 + 10*c + 22. Let p be f(7). Let o = p - -5. Determine o*i(q) + 6*a(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 163798 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(833) - (4 + sqrt(833)))*-1)**2 + 2)*6*-2.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqqquqquuququuuuquuq. Give prob of picking 2 q and 1 u.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 12 + 14*c - 13*c to the form w*c + p and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -13*h**2 - 5*h - 781. Let x(q) = 7*q**2 + 3*q + 392. Give 4*i(c) + 7*x(c).\nAnswer: -3*c**2 + c - 380","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 28*p**2. Let w(g) = g. Let i(c) = -c**2 - 3*c. Let b(a) = -i(a) - 3*w(a). Give d(b(y)).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 29\/4 - (-3)\/(-12). Let c(w) = -w + 6. Let h(m) = -2*m + 11. Determine u*c(r) - 4*h(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 5 (c) 11787432\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1680 = 11*y - 12*y, 6714 = 4*y + 5*q. What are the prime factors of y?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 81*y**3 - 33*y + 33. Let w(r) be the second derivative of -r**5\/4 + r**3\/3 - r**2 - 4*r. Calculate 2*c(i) + 33*w(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20730161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 106.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from dhdhddddddhdhdhddh?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*v - 1 + 0 - 3 + 31*v to m*v + z and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(-425)\/510\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + (sqrt(832) - (sqrt(832) - (sqrt(832)*-2)**2)*5))*-5 - (sqrt(156)*-2*-3 - sqrt(156))\/(sqrt(12) + (sqrt(12) - (sqrt(1728)*1 + sqrt(1728)))).\nAnswer: -83200 + 2645*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182894.\nAnswer: 2, 19, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-10 - -15) + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15146879736 and 7.\nAnswer: 15146879743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*a - 15, 0 = -9*a + 4*a - 25. Let l(m) = -8*m + 20*m - 5 + f. Is l(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20485920 + -20485917.29999945. Let v = 2.7 - u. Round v to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544195.\nAnswer: 5, 127, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w. Let n(h) be the second derivative of -7*h**3\/6 - 28*h. What is q(n(g))?\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 - 11520?\nAnswer: -11018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -18, -16, -12, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 541027 to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 3714.9 (c) -2116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.27 + -3.73. What is the nearest to 0.09 in 0, t, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*a = 5*z - 108*a + 185*a + 210, -45 = a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((2 - 0) + -1)*(-41 - -46). Let k = 1 + 8. What is the third derivative of -9*f**5 + 3*f**2 + f**6 + k*f**v wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 + 30*m**2 + 4*m + 5. Let r(y) = -y**3 + 10*y**2 + y + 1. Let t(c) = 6*r(c) - 2*u(c). Let d(o) = -3*o**3 - 2*o - 5. Calculate 3*d(k) - 4*t(k).\nAnswer: -k**3 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 0*q + 5*q)*(0*q + 3*q - 5*q) + (-1450 - 40*q + 1450)*(2*q - 3*q + 2*q).\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8929467 kilograms in micrograms?\nAnswer: 892946700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 3*q**2 - 2*q - 3. Let r be i(3). Let k = 13 + r. Solve 13 = k*v + 5*x, 3*v + 2 = -x - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4 - 746*z**3 + 93000*z**2 - 3905504*z + 3813248 = 0 for z.\nAnswer: 1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493.182 litres in millilitres?\nAnswer: 2493182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 7 = -3*o, -4*k = 2*o + 3*o + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 845 + 23. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 f, and 1 c when three letters picked without replacement from {k: 4, d: 1, f: 1, q: 4, h: 1, c: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 4*x - 3*x - 4 + x**2. Suppose 0*q = 4*q - 12. List the prime factors of k(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 117 + 25. Suppose -j + 22 = d. Let s be (-2)\/(-6) + 25\/j. Which is the second smallest value? (a) s (b) -4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98378.9 rounded to the nearest 1000?\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Let y(t) = 19*t + 3*t - t - 39*t**2 + 18 + 13*t + 6*t - t**3. Calculate the smallest common multiple of z and y(-40).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 11 + 13 + -1 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20 + -3 - (-8118318)\/111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b79c4 (base 14) to base 8.\nAnswer: 13746650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4221 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2743626 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k + 14. Let b(q) = -5*q + 8. Let o(l) = -7*b(l) + 4*u(l). Let a(y) = -2*y. Calculate a(o(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 2*t**2 + 2*t - 1. Let p be -2 + -6*(-2)\/4. Let j be -2 + (p - 0)*4. What is s(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 1389*u. Let g(c) be the second derivative of c**4\/12 + 11*c + 62. Determine m(g(y)).\nAnswer: -y**4 + 1389*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -172? (a) -2\/5 (b) -585\/7 (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5*1177\nAnswer: -5885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704 is divided by 812\/8 + (-6)\/12?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 smaller than -818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425019 and 1776.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17) - sqrt(17))**2 + -1 + (sqrt(2448) + -2 + sqrt(17))**2.\nAnswer: -52*sqrt(17) + 2877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 4*f - 3*f)*(-5*f**4 + f**4 + 2*f**4) + (-1 + 2 + 0)*(-2*f + 2*f + 2*f**5) - 5*f**5 + 10*f**5 - 2*f**5 + 2*f**5 - 2*f**5 + f**5.\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 4 (c) 5316 (d) -0.05 (e) -0.35 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnbhnbnhhv. What is prob of sequence vnh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-22 + -43 - 47) + 76\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10004013 + 3?\nAnswer: 10004020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2 - 2*j + 7. Let a be s(-3). Let n be 11\/(-7) + 6\/a. Is (1700\/175)\/(n\/(-7)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 3*d**2 - 2*d + 4. Calculate a(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -478975.861 + 9\nAnswer: -478966.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**6\/40 - q**5\/15 + q**4\/6 - q**3\/2 - 5*q**2. Calculate m(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*n + 134 - 134 as d + r*n and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 0 + 16\/4. Suppose o*x = 6*x - 32. What are the prime factors of 6*12\/x - -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, 154, 444, 850, 1372?\nAnswer: 2010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201 by 67.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1872) + sqrt(1872) + -2 + sqrt(1872) + sqrt(1872) + sqrt(1872))**2 + -3)*-1.\nAnswer: -46798 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27941677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34.6 + 32. Let t = a + 3.6. Let j = -13 - -9. What is the smallest value in t, -2\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/(-30))\/(6\/(-15)). Let c(k) = -6*k - 2. Let s(b) = 2*b + 1. Calculate h*c(z) + 8*s(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1347\/30 + 4 + 3\/15 + (-20)\/200.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -98\/9 (b) -3\/7 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(65)\/sqrt(5) - (2*sqrt(104))\/sqrt(8)) + sqrt(52)\/(sqrt(324) + -4*sqrt(324)).\nAnswer: -163*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3303201 - 223?\nAnswer: -3310030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4484975 and 48.\nAnswer: -215278800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 41778696\/51 + 1\/(119\/(-14)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -19720?\nAnswer: -157760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4*m = -6. Suppose -22 = -m*y + 5*f, 2*y + 2*f - 10 = 3*f. What is the remainder when 13 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 619048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 7. Let q(y) = -345 + 89 + 89 + 87 + 84. Calculate 5*q(o) + 2*s(o).\nAnswer: 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6584054 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czzc when four letters picked without replacement from {c: 6, a: 1, i: 3, z: 2, e: 1, m: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 6*i + 4. Let k be y(6). Let r = 1 + k. Suppose r*n + 16 = -2*z, 2*z + 14 = z - 4*n. Solve -2 = -z*u + u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + q + 1. Let j(x) = -5*x**2 + 11*x + 4. Let w(v) = -j(v) + 3*z(v). Suppose 5*f + 3*u = -0*u + 42, 3*f = -3*u + 30. Is 19 a factor of w(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-6*(sqrt(1900) - 2*sqrt(1900))*-3 - ((sqrt(1900) + 0)*-3 + -1))*-4 + -4)**2.\nAnswer: -15600*sqrt(19) + 6840169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108363?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*j**4 + 65*j + j**2 - 65*j to the form c*j**4 + f*j**3 + k*j + g*j**2 + q and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 82583445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - m + 2*m)*(3 + 1 - 2)*(10 - 8 - 24)*(6 - 4 + 0 + (-4 + 3 + 2)*(1 + 3 - 3) + 0 + 1 + 1) to i*m + q and give i.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38910923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 55118.7\nAnswer: -330712.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3631*x + 3627*x + 3131164. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*u - 221*u + 1564 = -98*u - 100*u for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 85343979.\nAnswer: -10\/85343979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q**2 - 16*q + 6. Let s be v(8). Calculate the greatest common divisor of s and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c - 10. Let t be x(-2). Suppose 0 = o - 2*o - t*o. Suppose -2*i = -4*r - 782, 2*i + 4*r - 898 + 92 = o. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/51*12\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(171) + 1)**2.\nAnswer: 6*sqrt(19) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48725 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/5*-1*3\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 3)\/((-2)\/20). Calculate the highest common divisor of 15 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -5*k**4\/4 + 160*k**3\/3 - 344*k - 1111. What is the first derivative of l(t) wrt t?\nAnswer: -15*t**2 + 320*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 20*l**2 - 2*l - 5. Let y(r) = 21*r**2 - 2*r - 6. Let d(b) = 6*x(b) - 5*y(b). Let i be d(2). Suppose -2 = -4*h + 5*h, -i = -2*g - h. Does 29 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 60 = -216. Let h = -9 - v. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43, 81, 117, 151?\n\"Answer: -q**2 + 41*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -21987000 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxxxxjjhxhjxjxxjlxxj. What is prob of picking 2 h and 1 l?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/30 and 33\/536225?\nAnswer: 3217350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36784 = 22*b + 16*b. Calculate the highest common divisor of b and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v - 2. Let b be f(-4). Suppose 0 = 5*z - b - 5. Find the third derivative of -3*y - 3*y**3 + 4*y**3 + 3*y**2 + z*y wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, -18\/79, 367?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 167\/3. Let p be 2*(-1)\/(-6) + 0. What is the nearest to p in -5, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/6 - (1 - 0). Let l(j) be the second derivative of j**3\/6 + 53*j**2\/2 - j. Is l(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -15. Let h = 12 - v. Solve 0 = 3*l - h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 + 7 + 96 + -1. What is f rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 27*s**2 - 2*s - 1. Let t be g(-1). Let n = t + 100. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-22) - 42\/(-11). Let d be -2*w\/56*-2. Let h(s) = -s**3 - 8*s**2 + 19*s - 12. Let f be h(-10). What is the biggest value in -0.3, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - 2.7. Let g(w) = w**3 - w**2. Let f(r) = -r**3 + 8*r**2 + 9*r + 1. Let q be f(9). Let p be g(q). What is the nearest to p in t, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129105 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/4 - 2*k - 7\/4 = 0. What is k?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 668402 (base 9) in base 5?\nAnswer: 100243233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b**4\/7 + 96276*b**3\/7 - 5852283*b**2\/7 - 15982650*b\/7 + 7323264\/7 = 0. What is b?\nAnswer: -3, 2\/5, 64, 6357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*p = -17, 4*n - 3*p + 11 = 6*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Let w be 3 - ((-21)\/(-3) - 2). Let q be ((-5)\/(-10) + w)\/(3\/(-20)). Let l(v) = -3 - 28*v - q + 13. What is g(l(d))?\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2683*k - 3586*k = 48762 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*a**2*z**2 - 36*a**2*z + 507*a**2 - a*z**2 with respect to z.\nAnswer: 42*a**2*z - 36*a**2 - 2*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-11))**(1\/15)\/(k**17)**(-2\/55))**(-6) assuming k is positive.\nAnswer: k**(38\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29954456?\nAnswer: 2, 7, 167, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**7\/70 + x**6\/8 + 3*x**5\/20 - 5*x**4\/8 - 2*x**3 + 113*x**2. Let h(z) = 0. What is z?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 956 and 772939384?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b - 4. Let l be x(1). Solve 2*n - l*n - 2*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 9:58 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 12:52 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 43*v - 436. Let w be r(-17). Suppose -3*c + 41 = -j, -3*c + 31 = j - 0*j. Calculate the highest common factor of c and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4948\/2544 - 1\/4. Let f = x - 3\/106. Factor 0*t + f*t**4 + t**3 + 0 - 2\/3*t**2.\nAnswer: t**2*(t + 1)*(5*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 118, -1, -4, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.392 - 9.258. Let j = -9.6 - w. Which is smaller: -2\/7 or j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t. Give y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -95615565 divided by -5?\nAnswer: 19123113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1255.0647 + -1255. Let v = -0.07081 + r. Round v to 4 decimal places.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -1\/5744991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*t + a - 165, 0 = 2*a + 10. Suppose 0 = k - 3*k - 2*v + 12, -k = -5*v - t. Let b = k + -7. What is the remainder when 7 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 3*v**2 + 0*v)*((-5*v + 3*v + 4*v)*(3*v - 3*v - 2*v) + 3*v - v**2 - 3*v)*(4*v - 3*v + v).\nAnswer: 30*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4817, 4721, 4633, 4559, 4505?\nAnswer: 4477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 7*p - 52. Let c be a(-12). What is the highest common factor of 88 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9855*c**2 + 8*c. What is the units digit of t(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11*g**2 + 111*g + 49. Calculate h(-10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -6. Suppose -3*i = -z*x + 2*x - 28, 2*x = 5*i - 28. Let o(f) = 2*f + 17. Let t be o(-7). Solve -i*m = -t*m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 47\/9 + 30\/(-135). Suppose 2*w - 5*p + 12 = 0, -5*w + 6*p = 2*p + 30. Let y = -4 - w. Sort -3, y, s.\nAnswer: -3, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -350447*d**3 - 70636*d**2 wrt d?\nAnswer: -2102682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 299 + -305 + 0 + 9 + -2 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1199, -1543, -1885, -2225, -2563?\nAnswer: -2899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbztvtvvzbntvmbzz. Give prob of picking 1 z and 2 t.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*y = 1670 - 549, -4*o + 2*y - 1460 = 0. Let m = o + 1113. What are the prime factors of m?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 8*n + 12. Let z be y(9). Solve -z = -2*h + 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98523 and 41394051?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**2 - 31*s. Let b(d) = 14*d**2 + 93*d. Calculate 4*b(c) + 11*z(c).\nAnswer: c**2 + 31*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -9.8. Let q = -251.8 - -250. Let c = q - g. Put 5, -2, c in descending order.\nAnswer: 5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/22? (a) -4 (b) 0.3 (c) -182 (d) -0.1 (e) -1\/4 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 18*o - 9*o. Calculate the greatest common divisor of o and 2015.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 + -2 - 8) + -6 + -8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkkpwzwkw. Give prob of sequence zp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2*q**2 - 3*f**2*q - 2*f**2 + 733*f*q + 192673*q**2 wrt f?\nAnswer: 4*f*q**2 - 6*f*q - 4*f + 733*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 2*j + 9. Let s(k) = -6*k**2 - 11*k - 54. Calculate -6*s(m) - 34*w(m).\nAnswer: 2*m**2 - 2*m + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.149 + 5.089. Let d = a + 0.06. Sort d, 0.5, -0.4 in increasing order.\nAnswer: -0.4, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k = -2*k - 340. Suppose -2*z - 232 = -k*z. Solve 4*n + z = 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-5 - ((9 - 28) + 6 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-12)*2\/(-1). Suppose 3*j = s, -4*j + 3 = v - 6. Suppose -5*k - 4*n = -5*n - 393, -4*k = -v*n - 306. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24926605.\nAnswer: 5, 11, 41201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l + 11. Let h(j) = -2*j + 8*j - 2*j - 6 - 5. Let q(y) = 7*h(y) + 6*n(y). What is the derivative of q(b) wrt b?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1161019 to the nearest 10000.\nAnswer: 1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 23 - 2 = -4*g, 0 = 5*g + 4*z - 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-4)\/((-4)\/2)). Let f be (-1)\/((-3)\/6)*1. Let c = f + 1. Put c, 5, n in increasing order.\nAnswer: n, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*n - 160*n - 112*n.\nAnswer: -236*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 109. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 15 = -h. Calculate the remainder when h is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/u**(1\/25)*u*u**10\/u*(u**(-5))**(-39) assuming u is positive.\nAnswer: u**(5174\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - 30?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 48\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -37463 (base 9) in base 14?\nAnswer: -9259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1348022*f**2 + 5719742*f wrt f?\nAnswer: -2696044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 2*v**2 - 3*v. Let n be i(4). Solve -2*m = 2*m + n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84249 and 264957?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 2*o - o)*(-o - 2*o + 4*o + (-1030 + 1030 - 493*o)*(1 + 1 - 4)) to the form p + m*o + z*o**2 and give z.\nAnswer: -1974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*h = -30*h - 4*y + 58, -4*h + 4*y = -4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 22 - (9 - 3). Suppose 2*g = -3*i + 6, -4*g + g = 5*i - 11. Solve 3*j + i - z = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3)*(1 - -8). Let r = u - 4. What is the derivative of 4 - 3*m**4 + r*m**4 - 1 wrt m?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from tuuew.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + 0.57. Let v = 0.1 - t. Let w = -164.9 + 165. Do v and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z - 5. Let t(f) = -f + 1. Let o(g) = -j(g) - 5*t(g). Let d(u) = -u**2. Calculate o(d(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*f**2 + 4*f - 45*f**2 + 17*f + 13*f to the form c + h*f**2 + v*f and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 8 + 4*l - l - 3*l.\nAnswer: l - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -248, -237, -214, -173, -108, -13, 118, 291?\n\"Answer: s**3 + 4*s - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 45*o**3 + 1. Let i be 40\/35 - 2\/14. Let p be m(i). Suppose d = 4*k - 19 - 23, 0 = -4*k - d + p. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 2 + g**3 - 2 + 3. Let r be b(0). Let i(u) = -4*u**3 + 3*u**2 + 3*u + 3. Let p(n) = -n**3 + n**2 + n + 1. Calculate r*p(v) - i(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 4)*(-7 + 2 - 5)*(1 + 5 + d - 5).\nAnswer: -10*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*u**2 + 15956*b**3*u - 2026*b**3 + 5284692*b**2*u**2 - 26*u**2 wrt b?\nAnswer: -12*u**2 + 95736*u - 12156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Let f(p) be the first derivative of 3*p**3 + 11. Calculate a(f(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 34 = 2. Let c = l + 18. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -11*u**2 + 6*u**3 - 4 - 2*u**3 + 8*u**2 + 6. Let f(t) = 11*t**3 - 8*t**2 + 6. Let o(d) = -d**2 - 3*d - 4. Let n be o(-4). Calculate n*g(h) + 3*f(h).\nAnswer: h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 69385?\nAnswer: -4\/69385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from fififfpppfpf.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -m, 0 = r + 3*r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 11*n + 15*n**2 - 29*n**2 + 5*n**2 - 10. Give g(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1201\/865 + 2\/173. Let z = x - 34\/35. Let l(u) = -u**3 - 2*u**2 + 2*u. Let h be l(-3). Which is the third biggest value? (a) -5 (b) h (c) 0.4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*s - 14*s + 159. Let p(l) = -l. Let m be p(-2). Solve -s*f - 15 = -x, -18 = -5*x + 4*f + m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 16. Let g(d) = 11*d - 29. Let m(l) = -5*l + 14. Let v(t) = x*m(t) - 6*g(t). Differentiate v(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6*(95\/15 - 3). Suppose y + 40 = w*y. Suppose 2*q + q - 4 = 2*h, 3*q + 4*h = y. Put -0.1, -2\/7, q in descending order.\nAnswer: q, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.1 + 1.6. Let p = j + 5. Which is the biggest value? (a) -3\/2 (b) -0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (sqrt(147))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 251403919+4\nAnswer: 251403923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -8*v**3 - 5\/3*v**4 + 0 + 0*v + 1\/105*v**7 - 43*v**2 + 1\/15*v**5 + 1\/12*v**6. What is f in u(f) = 0?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.77 from 750.429.\nAnswer: 751.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:14 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (20 - (40 + -23 + -20)) - 17.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.1 + 0.1. Let y be 1 - (2 + 32)\/(-2). Let s = 71\/4 - y. Which is the nearest to s? (a) 5 (b) x (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/7 - 167316*y\/7 - 5358208\/7.\nAnswer: 4*(y - 41861)*(y + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 840*u - 838.\nAnswer: -2*(u - 419)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4024530 is divided by 7651.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11328.2 + 11328. Is r < -7.83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 417 (base 9) to base 13\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -288, -441?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -206\/15315 or 1?\nAnswer: -206\/15315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1011895*p - 27 = r - 1011898*p, -7*p + 55 = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/((-4)\/(-3)). Let i = -0.3 - 0.1. Let g = -52.6 + 47.6. Put i, n, g in increasing order.\nAnswer: g, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 31. Let p = -2 - z. Solve -p = 5*m + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(12)*5)**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 2. Let l be b(4). Find the second derivative of 5*r**2 + 3*r**l - 3*r**2 - 3*r wrt r.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**3 + l**3 - l**3)*(-2*l - l + 5*l)*(67 - 111 - 100) + l**4 - 5*l + 5*l to the form s*l**2 + y + g*l**3 + a*l + c*l**4 and give c.\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -132793, -265548, -398307, -531070, -663837, -796608?\n\"Answer: -2*j**2 - 132749*j - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3969, 7937, 11905?\n\"Answer: 3968*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147196 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-24)*-3)\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-8 - -13) + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/6)*g*g*g\/(g*g**(1\/5)*g)*g*(g*(g\/((g**(-3\/8)*g)\/g))\/g*g)\/(g*g**(-1\/4)))\/(g**(6\/11)*g*g\/(g*g*g*(g*g**4)\/g*g))**(-5) assuming g is positive.\nAnswer: g**(-30379\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**3 + 5*l**3 - 7*l**3)*(1 + 2 - 5) - 2*l**3 - 2*l**2 + 2*l**2 + (3*l - 5*l - l)*(4*l**2 + 3*l**2 - 6*l**2) + 2*l**3 + 2*l**3 - 2*l**3.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/2 + 1 - -1. Factor -m**3 + 0*m**2 + 1 + 4*m - m**2 + m - f*m.\nAnswer: -(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015 is divided by 135?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 17*c + 16. Let v be w(-16). Suppose v = -5*j + 1005 + 460. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25475 rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.754 + -0.246. Which is smaller: -0.22 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -76*w. Suppose -p + 4*p = 60. Calculate the remainder when h(-1) is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-12) - (-3)\/((-3)\/47). Let b = o + 75. Suppose b = 2*u + 3*u - 5*d, 4*u - 3*d = 29. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*y = -0*i + 616, -2*y - 310 = -2*i. Which is smaller: 153 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*s + 184 + 931 = -254 - 113 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0, -0.03, 1\/5, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**5\/110 + 2*v**4\/33 - v**3\/11 + 56*v - 33. Let y(x) be the first derivative of r(x). Solve y(w) = 0 for w.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -125875.\nAnswer: -3\/125875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 153126*r**2 - r - 12. Let s be x(4). Round s to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-666)\/12)\/((-13)\/546)?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005595854 to five decimal places.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.8 and 9936.\nAnswer: 9936.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t + 13 - 12 - t - 1100*t**3 + 5*t to g*t**3 + x + v*t**2 + s*t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 17*i**2 + 36*i + 348. Let m be c(0). What is the highest common divisor of 8584 and m?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5823248634 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 12\/3)\/1. Suppose 0 = w*l + 5. Let t be 0 + (0 - l) + (-4 - -7). Solve 0 = -4*y + t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.5, 76\/25, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -20, -28, -40, -56, -76, -100?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*g - 4*l, -3*l + 47 = -2225*g + 2230*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 35112 = 3*h, 0 = w + 3*w - 24. List the prime factors of h.\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 + 1.96. Let p = -7 - -11. Let i be 2\/((p + -3)*-4). Which is the closest to u? (a) i (b) 0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -21. Let t be ((-2090)\/57)\/(d\/3). Suppose 0 = 3*y - t + 44. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3289416638 to the power of 1\/3, to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 187974258257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s - 12*s + 75*s - 25*s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323 - 10013?\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*k - 5*w, -w + 0 - 3 = 5*k. Suppose k = -f - 1. Let i(o) = 34*o + 2. Let s(p) = -18*p - 1. Let u(n) = 6*i(n) + 11*s(n). Determine u(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 7 + -4)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 20 = -8*a. Let r(s) = s**2 + 3*s - 13. Let d be r(-7). Suppose -d*p + 4 = -14*p. Solve -u = -p*k - 6*u, -a = 4*k + 4*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 0 + 0*o + 23*o**2 - 1\/30*o**6 + 0*o**4 + 0*o**3 - 1\/5*o**5. Find the third derivative of n(f) wrt f.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -296549 divided by 26959?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 + 52 + -35 - 22 - 20.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-8\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7708 less than 0.4?\nAnswer: -7707.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 8) in base 2?\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = j + 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 444676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -35, -49, -63, -77, -91?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 149827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -220717 (base 15) to base 11\nAnswer: -a0836a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(104) + sqrt(104)) + sqrt(104)*1*3)\/(-2*sqrt(128)*2).\nAnswer: -15*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - 0.34. Let b = -15 - -15.1. Let d = b - -0.4. Put x, 0.4, d in descending order.\nAnswer: d, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 260, 525, 804, 1103, 1428, 1785, 2180, 2619?\n\"Answer: v**3 + v**2 + 255*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66427147\/10 + -6631458. Let y = 11269 - x. Let b = -60678\/4895 + -4\/979. Calculate the common denominator of y and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 336993*x**5 - 425551*x**2?\nAnswer: 20219580*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -23) + (3 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 - 16*h**2\/7 + 10*h\/7 + 100\/7.\nAnswer: 2*(h - 5)**2*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/7 - 212*r**3\/7 + 4946*r**2\/7 + 5088*r + 8064.\nAnswer: 2*(r - 56)**2*(r + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d**2. Let t(l) = -7*l**2. Suppose 0 = -a + 2*u + 8, 2*a - 16 = 6*u - 3*u. Suppose 2*r + 72 = -10*r. What is a*t(n) + r*i(n)?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 8) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 145*p - 2. Let k(n) = 144*n - 2. Calculate -5*k(v) + 4*w(v).\nAnswer: -140*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -238, -863, -2094, -4135, -7190, -11463?\nAnswer: -17158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 18\/11 (b) 0.2 (c) -22 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -75, 1\/2 in descending order.\nAnswer: 1\/2, 0.3, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174593330?\nAnswer: 2, 5, 43, 173, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.035 - -1.005. Let f = 0.04 - u. Let s = 3.1 + -3. Which is the closest to s? (a) -0.3 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**5\/20 - 7*z**4\/12 + 2*z**3\/3 + 3*z**2\/2 - z. Let t be s(6). Sort t, 2, 5.\nAnswer: t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 171 + -170.6. Let l = -0.3 - -1.3. What is the biggest value in l, 0.1, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1045 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -155*z**3 - 317*z**2 - 8*z + 4. Let u(i) = 309*i**3 + 634*i**2 + 14*i - 7. Let h(j) = -7*g(j) - 4*u(j). Find the third derivative of h(d) wrt d.\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1843 and 3078?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 7844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18688 and 876?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3390 and 68478.\nAnswer: 342390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 5626?\nAnswer: 5630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 19 = 5*x - 13 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 + 0?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -3. Let i be a + (8\/6)\/(-4). Are i and -2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -594566 or -594565?\nAnswer: -594566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2406*d**3 + 1909*d - 1909*d + 2134*d**3.\nAnswer: -272*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyytyyyytyt. What is prob of picking 1 y and 1 t?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.339 - 0.281. Let s = 2.82 + u. Which is the second smallest value? (a) 5 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*s - 400*s + 14 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*a - 487 - 121 = 322 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 + 75. Which is the closest to -2\/5? (a) 2\/9 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, c: 1, h: 6}. What is prob of picking 1 h and 1 j?\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146048 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*v**2 + 16*v**2 + 29*v**2)*(2*v - v + 2*v) + 2*v - 3 + 0*v + 4 - v**3 to m*v + b + x*v**3 + s*v**2 and give x.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 398 = 2*j, -5*j + j + 4 = 0. Let s = 108 + -72. Suppose -d + s = -3*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 the common denominator of -39\/4267 and -77\/4518?\nAnswer: 76806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 r, and 1 t when four letters picked without replacement from htprprpdpdrv.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.2. Let m = 4\/21 - -8\/21. What is the nearest to z in m, -2\/7, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/7, 2\/11, -0.21, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(28) + sqrt(448)*-2 - 4*(sqrt(700) + 1)*2)**2 + -5 + -3.\nAnswer: 1128*sqrt(7) + 61880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4, -4*l + 7*i - 2*i = -18. Which is the nearest to 1\/4? (a) 3 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-24))**50)**(-17\/2) assuming l is positive.\nAnswer: l**10200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + -48. Suppose 4*p - 54808 = -4*x, -4*p - x + 68502 = p. Suppose -14*u = -q*u + p. Round u to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 459 divide 47571219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 24 - 4*b + (b + 0*b + 0*b)*(1 + 0 + 0) + (-1 - 1 - 6)*(b + 4*b - 6*b) as k*b + y and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 89*q**2 - 12*q - 69. What is the tens digit of z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -10*i**3\/13 - 496*i**2\/13 + 2360*i\/13 - 864\/13 = 0.\nAnswer: -54, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -212010201 (base 3) in base 16?\nAnswer: -41e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101001100 (base 2) in base 15?\nAnswer: -a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n**3 - 61*n**3 - 57970 + 57970 + 32*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*f - 28, 2*z - z - 26 = -4*f. Let g(c) be the second derivative of 2*c**3\/3 + 3*c**2\/2 - 2*c. What is the lowest common multiple of 33 and g(f)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 11:48 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3877 rounded to 2 dps?\nAnswer: 1.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/((-3)\/6). Let p = -30256509\/797 - -37963. Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29922, -59843, -89764, -119685, -149606, -179527?\nAnswer: -209448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.2 + 3. Let n = 456 + -453. Let l be 32\/(-36) - 4\/(-18). Which is the nearest to n? (a) l (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -12. Let w = g + 2. Suppose -w = -3*b + 13. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 381524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1513 + 441.1513. What is the second smallest value in 2, v, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 12, 2*q - 24 = 4*n + n. Let c = 16 + -11. Suppose q*z + 139 = c*f, -5*f = -2*f + 3*z - 96. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q + 9*q + 2*q + 34319*q**2 - 34322*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 2142468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Solve y*o + 0 = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17044746.6 to the nearest one hundred thousand.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19909227 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y - 35 - 29 = 0. Sort 2\/3, 1\/8, -5, y in decreasing order.\nAnswer: 2\/3, 1\/8, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {b: 2, j: 1, i: 1, n: 3, w: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48212, -96336, -144460, -192584, -240708?\nAnswer: -288832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -6 - 1) + 5027 + -5061.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*m - 11 = 0, m = -m - 6. Let -20 + 26 - 7*u**3 - 26 - 40*u + r*u**3 - 25*u**2 = 0. Calculate u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1\/7)*j\/j**(2\/27))**(-5\/7))**(1\/15) assuming j is positive.\nAnswer: j**(-526\/3969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12848880 by -20.\nAnswer: -642444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + 13. Calculate the lowest common multiple of (-2)\/(-14)*-2 - 340\/(-14) and z.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3572842140 to the power of 1\/2, to the nearest integer?\nAnswer: 59773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2151?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12253097.\nAnswer: 12253097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = -0*g + 3*t, g - 3*t = -8. Let u = -12 + 13. What is the remainder when g is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -10. Let b be 18\/45 + (-46)\/(-10). Suppose b*o - 20 = 50. What is the least common multiple of o and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4 + 3 + 30*k - 31. Let u be 391\/23 + (8 - 20). Does 14 divide m(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 169.85 and -0.9783.\nAnswer: 168.8717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-11*30\/(-165)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 1868 - 1868 + 669*q + (8*q**2 + 6*q**2 - q**2)*(4 - 5 + 2) to h*q**2 + x*q + a and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from yyyyfyfyyyf.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9294*w = 1565*w - 597245 for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 13. Let u be x(11). What is the remainder when 101 is divided by -2 + (u - (2 + -28))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g*g*g*g**2*g*g*g)**(-4) assuming g is positive.\nAnswer: g**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65613 = 5*m + 49387. Round m to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -74, -639, -2196, -5243, -10278?\n\"Answer: -83*v**3 + 2*v**2 + 10*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -44913*v + 15099*v + 15376*v + 16860*v. Let h(i) = i. Give h(r(p)).\nAnswer: 2422*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3196 - -159833\/50. What is the common denominator of -43\/6 and o?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((3*sqrt(7344)*2)\/((sqrt(27) + (sqrt(135)*2)\/sqrt(5))\/sqrt(9)))**2*-1.\nAnswer: -9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 19 = -2*b. Solve 0 = -4*n - 1 - b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -1566 - 2439. Let t be k\/(-20) - (-2)\/(-8). What is the tens digit of 2 + t\/(3 - -1) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 + 0.89. Let k = s + -1.08. What is k rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.143 - -0.061. Let n = h + -0.204057. Round n to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 8*k**2 - 10*k + 2. Let w be f(-9). Let c(t) = t**3 - 10*t**2 - 7*t + 3. Is c(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.682824944 rounded to two decimal places?\nAnswer: -1.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 24*l + 433 - 22*l - 16*l - 425. Suppose -5*o - 5*z = 30, -4*o - o + z = 18. Is 16 a factor of a(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100110010001 (base 2) in base 6?\nAnswer: 121133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 29. Let m(p) = -p**2 + 10*p. Let l be m(c). Calculate the greatest common factor of 80 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111902?\nAnswer: 2, 7, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.0459 + -0.0459. What is the closest to -0.2 in p, 24\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 10242*c**3 - 1 + 10234*c**3 + 10*c**2 + 1108*c + 20*c**2 wrt c.\nAnswer: -48*c + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 13*p + 39 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/5138 and -13\/14?\nAnswer: 5138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 263 + -1311\/5. What is the third biggest value in 1, -1\/7, s, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(8\/3))**(2\/51) assuming a is positive.\nAnswer: a**(16\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1052*c + 3800*c + 1643*c to m*c + g and give m.\nAnswer: 4391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**3\/(q**(3\/5)*q*q*q**(-2\/13))*(q**2*q\/q**(-1\/2))\/((q\/q**0)\/q*q)**(-45) assuming q is positive.\nAnswer: q**(5987\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 161 = -7*q + 14 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o + 2*o - 2*o**2 + o**2 + 6*o**2 + 1. Let x be s(1). Let a(v) = -v - 1. Let w(m) = -2*m**2 + 6*m + 3. Calculate x*a(y) + w(y).\nAnswer: -2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 141 - 141. Suppose m = -p + 320 + 594. What are the prime factors of p?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -47782.\nAnswer: -4\/23891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, w: 1, e: 2, r: 9}. What is prob of picking 2 d?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21339746381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44 - 9\/(-3) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -68, -162, -294, -464, -672, -918?\n\"Answer: -19*h**2 + h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 30 - 3*h - 48)*(4 - 2*h**2 - 4) to the form f + w*h + x*h**3 + z*h**2 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758.318 rounded to the nearest 10?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 1d159?\nAnswer: 1d158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1405 divided by -12.\nAnswer: 1405\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-1430)*(-3510)\/2430?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.018 + -0.918. Which is smaller: n or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 8*p**2 - 8*p + 5. Let v = 39 - 25. Suppose y + v = 49. Calculate the remainder when y is divided by w(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330629959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - -1 - -3804*(-15 + 20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -492 + -140.56\nAnswer: -632.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 m, and 1 w when three letters picked without replacement from ofbmfbwo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-2)*(-11)\/(-2). Let n = 230 - 214. Let i = y - n. Which is bigger: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r + 58. Let o be j(-9). Suppose -o*m + 15*m - 136 = 0. Does 64 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5526.62m in micrometers?\nAnswer: 5526620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuy when four letters picked without replacement from {u: 7, y: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 4:21 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*b + 26. Let t(v) = v**3 - v**2 + v + 2. Calculate t(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31540*q = -32086*q - 14742 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/4 - (-11)\/4. Let v be (-2 + 2)*g\/2. Let s be -1 + (-4)\/(-1 - v). Solve h - 1 = -a, 0 = -h + s*a - 0*a - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 4 = -6*m. Are -1 and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*m**3 + 46\/13*m**2 - 22 + 238\/13*m.\nAnswer: 2*(m - 1)*(m + 11)*(m + 13)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/104 and 103\/80226672.\nAnswer: 1042946736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 964 divide 20383974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6*-12*11\/99\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 1, 75104, -6 in ascending order.\nAnswer: -17, -6, 1, 75104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16.4 from 0.311.\nAnswer: 16.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 7:46 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/2654 and -71\/2654.\nAnswer: 2654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.07, 1, 229, -26 in descending order.\nAnswer: 229, 1, 0.5, 0.07, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 4*i - 1. Let l be t(5). Suppose -q - 7 = l. Let z(a) = a**2 + 9*a - 4. List the prime factors of z(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5\/4 + 169*j**4\/4 + 4813*j**3\/4 - 54905*j**2\/4 + 50225*j\/2 + 40000 = 0.\nAnswer: -128, -50, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 - (16\/(-6) - -2)*-6 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 10*v**2 - 12*v - 10. Suppose 0 = -6*j - 66. What is the lowest common multiple of n(j) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3*y**2 + 2*j**3*y + 2777*j**3 + 193755*j**2*y**2 - 10*j**2*y wrt y.\nAnswer: -4*j**3 + 387510*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*z - 10 = 3*z, 5*b - 4*z = 10. Let d(x) = -x - 18. Let t be d(-18). Let h = t + b. What is the greatest common divisor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and (17 - -23)*(141*5\/15 - -2)?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 274959943?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/26 - 384\/39) + 2. Is 469 + 0*i\/(-24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 27*h**2 - 237. Let c(z) = -410*z**2. Determine l(c(m)).\nAnswer: 4538700*m**4 - 237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 59989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/15 - -7\/30. Put n, 0, 1\/11 in descending order.\nAnswer: n, 1\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3836 divided by 28.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 857287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.4. Let o be (-5 + 7)*(-2)\/8. Are t and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 424 - 1120. Calculate the highest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71249480*l**3 + 2*l**2 - 17946834*l?\nAnswer: -427496880*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(98) - (sqrt(14)\/(sqrt(2) - (sqrt(2)*1 + sqrt(2))))**2.\nAnswer: -7 + sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651804655?\nAnswer: 5, 130360931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/75*-18)\/((-6)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -8. What is the first derivative of -6*a + a - 2 - w - 1 wrt a?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - 1 - 2\/(-2). Suppose x*m = -54 - 36. Let u = m - 13. What is u rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7 - 3.1. Let n = i + -0.2. Let f = -7 + 9. Sort f, 0.4, n.\nAnswer: n, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 9*p - 3. Let h = 3 - p. Suppose -h*z - 1 = -7. Solve -5*g - 2 = -z*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 682 + -682.1. Which is the third smallest value? (a) -0.4 (b) 11\/10 (c) 3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 510\/12 - 2\/4. Suppose 8*c - c = z. Suppose -5*n = -c*n + 2. Solve 0 = -0*y + n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -163, 4, -32, -2, -1, 1 in descending order.\nAnswer: 4, 1, -1, -2, -32, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by (-235)\/(-10) + (-6)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -58\/43 (b) 3\/8 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -58*y**3 - 9*y**2 + 7*y + 7. Let h(f) = -39*f**3 - 6*f**2 + 5*f + 5. Determine 5*c(q) - 7*h(q).\nAnswer: -17*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3263 and 1757.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 f when three letters picked without replacement from {f: 2, r: 8, w: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from {k: 1, c: 1, f: 1, d: 5, x: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f**3\/9 - 37328*f**2\/9 + 1084172*f\/9 + 439640\/9 = 0. Calculate f.\nAnswer: -1895, -2\/5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 3*p**2 - 30*p + 9. Calculate t(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 28 = -8*a. Suppose 5 = -a*z - 11. What is the biggest value in -2\/9, z, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 16*l**2 - 44*l + 101. Let h(p) = -3*p**2 + 9*p - 20. Let f(s) = 11*h(s) + 2*w(s). What is the remainder when ((-46)\/8)\/((-3)\/12) is divided by f(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 476*u**2 + 637271. Let m(g) = 2*g. What is v(m(z))?\nAnswer: 1904*z**2 + 637271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 75*w**2 - 1170*w - 170. Give h(-53).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, j: 7}. What is prob of picking 3 j and 1 p?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -8*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 40. Suppose r = -3*q + 9 + 9. Solve 9 = -5*p - q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 6 + 4)*(4 - 3 - 5)*(4 + 3 - 1)*(-3*w + 3*w + w)*(-2 - 3 + 2).\nAnswer: 1944*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -91762 divided by 43?\nAnswer: -2134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -109.962971 and 0.2.\nAnswer: -21.9925942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.7. Let c = j - 0. Let l = c + 2.3. Round l to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 23 + 13*b**4 + (2*b - b - 3*b)*(0*b**3 - b**3 - b**3) + (b**3 - b**3 + b**3)*(14*b - 9*b + 9*b) to z*b**3 + s*b**4 + p + r*b + x*b**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**46)\/(h\/(h\/(h\/(h*h**(1\/3)*h)))))\/((h*h**(1\/32))\/h*h*h*h**34) assuming h is positive.\nAnswer: h**(1181\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -3\/40*w**5 + 11\/24*w**4 + 0*w - 1\/360*w**6 + 0*w**2 + 25\/3*w**3 - 16. Let d(u) be the third derivative of x(u). Give d(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93 (base 14) to base 11.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 0 - n + n**2 + 4 + 2. Let h(a) = -a**2 + a. Let u be (10\/4)\/5*0. Let j be h(u). Give y(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 167879 = -3419. What is the thousands digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 359 in -35, -0.2, 4688?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/4 + 2)*2. Suppose n - 4*r = -6 + i, -4*n + 72 = 4*r. Let m = n + -11. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4092642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8774033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2. Let d(p) = 3*p. Let v(g) = 4*g. Let j(q) = -3*q. Let r(b) = -5*j(b) - 4*v(b). Let z(h) = d(h) + 6*r(h). Calculate y(z(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -228a (base 11) in base 2?\nAnswer: -101110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 147*z + 52 + z**2 - 197*z + 466 - 33. Let f be r(13). Factor -1\/9*m**5 + 0*m**f + 5\/3*m + 10\/9*m**3 + 4\/9 + 20\/9*m**2.\nAnswer: -(m - 4)*(m + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10631\/4250 + 7\/250. Calculate the common denominator of 35\/18 and c.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 358 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 31, 0.05, -3\/2, 3, -1.71455?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h. Let l(k) = 845*k - 27. Determine l(r(s)).\nAnswer: 1690*s - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 10. Let l be z(6). Let d be l\/(-14) - 24\/(-182). Let p = 85577 - 85574. Is d equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02178 - -0.12822. Is v <= -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 165*v**2 + 1438*v - 46577. Give o(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 2 = -9. What is the hundreds digit of (-2982)\/(-6) - p*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053 divided by -1?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 676155 times -1\nAnswer: -676155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26238819 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07646 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 91*w**2 - 1933*w + 3890. Give h(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l**3 - 3*l**3 - 281*l**2 + 281*l**2 - 13*l**3.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 = -3*p. Solve 39 - 37 = p*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 5*i**2 + i**2 - 3 + 4*i**2 - 3*i**2 + 0*i**2 + 3*i**2 - 3*i**2 + 2*i**2 + i**2 - i**2 - 2*i**2 + (3 - 5 + 0)*(i**2 - 3*i + 3*i) + 2*i**2 + i - i.\nAnswer: -2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 3*k**2 - 3*k + 1. Suppose 5*z = -14 - 1. Let x be n(z). Let t = -6 + x. Solve b = -t*b - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 44 = 4*d - 5*d, 102 = 3*d + 3*v. Let g = -536 - -67. Let w = g - -586. Calculate the greatest common divisor of w and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -76*q**3 - 35*q**2 - 7*q + 7. Let s(h) = 25*h**3 + 11*h**2 + 2*h - 2. Give -7*s(b) - 2*y(b).\nAnswer: -23*b**3 - 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 164*v + 1382180 - 1099804 - 10769520. List the prime factors of v.\nAnswer: 2, 31973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16310578 is divided by 126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0)\/(462\/(-770))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111 - 11?\nAnswer: -110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1653 (base 8) in base 11?\nAnswer: -784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27622383 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4391 to the nearest one hundred.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 47*o**6\/30 + o**5\/30 + 5*o**4\/12 - 8*o**3\/3 + 10*o**2 - 25. What is the second derivative of n(r) wrt r?\nAnswer: 1128*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0144195607 to 6 decimal places.\nAnswer: -0.01442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*b + 1489 - 1453 - 3*b**2 + 2*b**2.\nAnswer: -(b - 12)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1950 and -103\/49462400.\nAnswer: 148387200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2*u = 14, 0 = 225*u - 220*u - 5 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -6345*s**2 + 400*s**3 - 2*s**5 - 405*s + 7*s**5 + 5935*s**2 + 410*s**4 = 0?\nAnswer: -81, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 201 and 372420974.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 207 - 206.99901. Round y to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4055303*z - 9781765.\nAnswer: -4055303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175377636 divided by 8754.\nAnswer: -20034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 432*w + 2714. Let a(n) = -11*n - 69. Let j(m) = -236*a(m) - 6*p(m). Let y(c) = -222*c. What is j(y(q))?\nAnswer: -888*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 17 = 5. Let x = f - -7. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -41*p**2. Let m(n) be the second derivative of n - 1\/6*n**4 + 0 + 0*n**3 + 0*n**2. Determine a(m(o)).\nAnswer: -164*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 36\/50*225\/9\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-5\/11))\/((s\/(s*s*s\/(s\/s**28)))\/s)*(s\/((s*(s\/s**(4\/11))\/s)\/s))\/s*s**(-2\/9) assuming s is positive.\nAnswer: s**(3128\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 624001.9 micrograms?\nAnswer: 0.6240019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2\/9 (b) -4 (c) -2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 2*w - 4. Does 5 divide c(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*6*(-9)\/(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m. Let c(h) = 11*h. Let x(l) = -33*l. Let d(b) = -11*c(b) - 4*x(b). What is n(d(g))?\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**3 - 10*q**2 + 55757*q + 223016. What is l(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaaaazaza?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/56 and -69\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -14. Which is the closest to 2\/7? (a) t (b) 3\/4 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*d + 34, -8 - 7 = -3*a. Suppose 0 = 4*u - 6 - 6. Suppose 2*c - 2*j = -6, u*j = -c + j - 3. What is the smallest value in -0.2, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from {n: 4, r: 2, f: 4, z: 3, u: 1, b: 6}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6778*k - 6714*k + 2048 = 0 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 34, -1.\nAnswer: -1, 3, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6383, -2\/3, -16, 1\/3, 5, 0, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4785, -9622, -14459, -19296, -24133, -28970?\nAnswer: -33807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 3*v**2 - 4*v)*(-2*v + 2*v + 5*v**2) - v**2 + v**2 + 5*v**4 - v**4 - v**4 - 2*v**4 + (-2 - v + 2)*(6*v - 6*v - v**3).\nAnswer: 17*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*r**4 + 332*r**3 - 20987*r**2 - 869593*r + 90?\nAnswer: 48*r**2 + 1992*r - 41974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-15)\/(-30) - (-1)\/(-1)). What is the third derivative of 2*t**2 + 17*t**3 + 17*t**3 - 8*t**b wrt t?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -637 and -10570.\nAnswer: 6733090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1065536 (base 7) to base 5\nAnswer: 13242132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 = -40*n + 372 + 561 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, x: 3, q: 1, t: 1, r: 5, p: 2}. Give prob of sequence rt.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12480460.\nAnswer: 2, 5, 227, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 4 + -7 - 56\/30?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 8) in base 13?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**3\/2 - 5*h**2\/2 + 2*h + 1. Let x(g) be the first derivative of j(g). Suppose 379*v = 424*v - 270. What is x(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (993 - 1074) + 44 + 1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19)\/(-9) + -1*1. Let n = 4 - 4.2. Let y = 0.10968 + -0.40968. Which is the nearest to f? (a) n (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnzz. What is prob of sequence zn?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 b, and 1 f when four letters picked without replacement from bobffqfovqffbvvo?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -8409b?\nAnswer: -84095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 q when four letters picked without replacement from {a: 3, p: 4, q: 8, n: 2}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2312 and 360.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -889, -195, 2071, 5903, 11295, 18241, 26735?\n\"Answer: -x**3 + 792*x**2 - 1675*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -2*171\/(-144)*-2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 4*b - 3*c - 5, b - 5*c + 22 = 0. Let r be (-1 - -4) + b\/7. Solve -r*u = 3*u + 5, 0 = -5*z - u - 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 15 = 0, k + 0*k = -2*q + 6. Suppose 3*p - p - 24 = k. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 times 2588?\nAnswer: 129400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 42, 63, 20, 3, 4 in increasing order.\nAnswer: 1, 3, 4, 5, 20, 42, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.09, 0.299, -2\/13, 4?\nAnswer: 0.299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2491, -9979, -22459, -39931, -62395?\n\"Answer: -2496*w**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -2, 21, 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58, 313, 762, 1405, 2242?\n\"Answer: 97*f**2 - 36*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2. Suppose -2*a + 3*t = -34, 3*t = 5*a + 2*t - 98. Suppose -a*x + 18*x = 0. Let c(k) = k - 4*k + x*k + k. Determine y(c(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28039013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/6)\/(6\/(-8)). Let g(o) = -o. Suppose 12 - 3 = 3*z. Let k(s) = -19*s + z*s + 11*s + 7*s. Determine p*k(c) + 6*g(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 4*o - 6, 4*i - 5080*o = -5085*o - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16686988363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240001 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 210 - 70 = 0. Let y = l + -5. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-8))\/(8\/16*(-1155)\/(-7854)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 273*k**3 + 2*k**2 + 2*k + 1. Let a be y(-1). Let x = a - -497. Round x to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35129405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (96\/80)\/((-21)\/(-70)). Suppose -a - 4 = 3*a. Sort -6, t, a, 0 in descending order.\nAnswer: t, 0, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7422931 is divided by 56?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21306023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -3. Let u = h - -2.4. Let t be (-48)\/128 - (-2)\/16. What is the biggest value in t, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j = 0. Let m(r) = 5*r - 5. Let a be m(-3). Let x be -6 - -3 - 68\/a. Is x at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-6))\/(32172\/6894)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -8*f + 3*f - 54, 3*y - 5*f - 53 = 0. Let k = -11.3 + 2.3. Which is the closest to 1? (a) k (b) y (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-2) - (-3)\/2. Suppose 18 = -a*y + 69. Solve 8 = -5*n - y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 t when three letters picked without replacement from {i: 1, s: 1, t: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljj when three letters picked without replacement from jljjlj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (988\/(-380))\/(9\/4 + 4\/(-16)) and 241\/(-84) + 2\/2.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -57.6535, -4 in increasing order.\nAnswer: -57.6535, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 1, h: 1, c: 1, p: 1}. What is prob of picking 1 c and 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**4\/4 - 5*f**3\/4 - 9*f**2\/4 + 4*f + 11. Let p(l) be the first derivative of j(l). Let p(y) = 0. What is y?\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 4*n + 0*n + (-2*n - n + 4*n)*(-2 + 2 + 2) + n - 2*n + 0*n - 19 + 35 + 2*n - 13 - 1 - 3*n + 19 + 33 to the form f*n + o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z**2 - 505*z - 99. Give a(-60).\nAnswer: -2199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 13*c**2 - 6*c + 70. Let w be n(13). Let z be ((-56)\/w - 7)\/(-2). Which is smaller: z or 30\/41?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/19)*g)\/(g\/(g*g*((g*g*g**(-9)\/g*g*g)\/g)\/g)))\/(g\/g**(-10))**(2\/41))**(1\/18) assuming g is positive.\nAnswer: g**(-2587\/7011)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 815021 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 10 = h + 5*d, 3*h = 2*d + 11. What is the closest to -1\/4 in h, -8, 4\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-112)*6*(-196)\/(-147)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92857 divided by -1?\nAnswer: -92857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.100034 + -1.1. What is h rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 6:27 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119354 by 21.\nAnswer: 119354\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gll when three letters picked without replacement from {l: 6, p: 2, g: 11}?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1649968.9 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 12:46 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 + 23*l + 5. What is c(6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -15*r + 3. Let h be (-5*(-16)\/(-100))\/((-2)\/5). Suppose 0 = 2*g - 2*o, 14 = 3*g + h*o + 2*o. Calculate a(g).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45225 and 33165?\nAnswer: 497475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*v + 15*v + 2*o - 274, v = -4*o - 102. Is -120 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**5\/20 + y**4\/12 + y**2\/2 + 2*y + 3. Let n(p) be the first derivative of a(p). Let i be n(0). Is i greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 698 + 902. Let r = q + -434. Is r equal to -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 2)*(3*f**5 - 2 + 2).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -30, -71, -130, -207, -302?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -111454819 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 5 - ((-7 - -9) + -4 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, t: 3, w: 2, y: 1, f: 1, d: 1}. What is prob of picking 1 y, 2 h, and 1 f?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 297, 489, 681, 873?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2232809121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 59, 83, 105?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - b - b - b - 3*b + (2*b - 2*b - 2*b)*(-2 + 1 + 2) - 1 - 2*b + 1 + b + 0 + 0 - 220*b + 150*b - 369*b - 77*b - 226*b.\nAnswer: -751*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 10709*d + 85742. Determine x(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*m - 4 = -3*t, -4 = -2*t + 5*m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*a + 57*a - 36*a + (-27*a + 13*a + 288*a)*(4 + 0 - 2 + (0 - 3 + 4)*(1 + 2 - 1)) to the form p*a + h and give p.\nAnswer: 1078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 1 + 8\/(-1). What is the smallest common multiple of 1 and 58\/(-5)*w\/4?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -343 - -217. Let h be (-6)\/39 + b\/26. Let m = -4 - -9. Sort 2, h, m in ascending order.\nAnswer: h, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**3 - 23*o**2 + 13*o**2 + 12*o**2 - o**4 to c*o + w + j*o**4 + q*o**3 + m*o**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 3*a - 4. Let b(i) = 3*i**3 + 20*i - 10*i**3 + 39*i**2 + 5*i**3 - 5. Let d be b(20). Calculate t(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)*2)\/sqrt(11))**2 + (sqrt(3) - ((sqrt(3) - (sqrt(3) - (4 + sqrt(9)\/sqrt(3)))) + sqrt(3))**2).\nAnswer: -15*sqrt(3) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9534*t**4 + 2*t**2 - 11388*t?\nAnswer: -114408*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16301 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2*12 + (-20)\/(380\/(-133))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -552157673 divided by 4?\nAnswer: -552157673\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/24)*s**(-7\/3)\/s assuming s is positive.\nAnswer: s**(-79\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 31263045.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.39 + 3.61. What is the second biggest value in 2\/7, 11, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91663.46 kilometers to centimeters.\nAnswer: 9166346000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*f - 5 = 9*v, 5*v + f = -21. Let o = 219\/31 - 7. Which is the fourth biggest value? (a) 3\/2 (b) v (c) o (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -857*y**3. Let o be -2 + (-5 - -4)\/(-1). Let w be m(o). Let z = 1444 - w. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 21*r**2 - 50*r - 76. What is m(18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8*q**3 - q**2 - 7*q - 9. Let r be n(-2). Suppose -r*l + 67*l = 36. What is the lowest common multiple of 10 + -1*(-2 - -4) and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(5500) - sqrt(55))\/(sqrt(11) + (sqrt(11) - (sqrt(11) + 2*sqrt(11))*-5) - sqrt(11)))**2.\nAnswer: 605\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-six thirds of a decade in months?\nAnswer: 3440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 87309\/5, -4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 90 = 2*k. Let f be (-18)\/k + 6\/(-10). Suppose f*o + 32 = 4*o. Solve 3*n = -n - o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 - 82. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c + 720 = 0. Let r = -604 - -559. Let p = r - c. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 34*f + 471. Let n(o) = 8*o - 2. Determine -4*n(g) + y(g).\nAnswer: 2*g + 479","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 372 divided by -372\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - (3 + -3 - -3). Suppose -5*x + 10 = w*a, -a + 3*a = 4*x - 8. What is a rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71\/203 + -3547141\/812. Let o = 4392 + k. Calculate the common denominator of o and 101\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*((-9)\/(-3) - 63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**3 + 10*h**2 + 15*h - 11. Suppose 0 = 34*p - 28*p - 66. Let q(s) = -s**3 - 2*s**2 - 3*s + 2. Give p*q(w) + 2*u(w).\nAnswer: -w**3 - 2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + i - 2. Let v(f) = 9*f**3 - 1068*f**2 + 6*f - 12. Let l(h) = 6*p(h) - v(h). Factor l(t).\nAnswer: -3*t**2*(t - 356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -2604, -10610, -27320, -55908?\nAnswer: -99548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8572618 to the power of 1\/2, to the nearest integer?\nAnswer: 2928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -a + 9, 3*t + t + 5*a - 29 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12028516?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = 74 + 94. Let w(c) = -2*c**3 + 13*c**2 + 26*c - 14. Let m be w(z). Solve -2*f - 5*x - 3 = m*f, -4*f + 3 = 3*x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-142)\/(-213))\/(4\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 11*w + 4 = 0. Solve -i = c + 1, 0*c - 14 = -i + w*c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*p - 728, -5*p + z + 1537 = 321. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/62 and -105\/72030226?\nAnswer: 2232937006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422220*o + 211077*o + 211146*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76193 + -76193. Determine m so that 16\/9*m + 2\/3*m**5 - 8\/9*m**2 - 28\/9*m**3 + h + 2\/9*m**4 = 0.\nAnswer: -2, -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -53. Suppose 3*v + y = 0, 2*t + 3*v = -0*v - 1. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1050*j = -1131*j + 162 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83106966.\nAnswer: 2, 3, 13851161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 18 - 3*d**2 - d - 18. Suppose 3*l - 26 = -23. Determine s(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab (base 13) to base 4.\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 477.4 + -443. Let f = d + -34.8. Which is the nearest to 0? (a) 4 (b) 44 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7124 - 7980 = -2*l. Suppose 10*s - 9548 - l = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = 0, -26*o = -x - 21*o + 506. What is the highest common factor of 438 and x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:53 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646795754.\nAnswer: 2, 11, 109, 269723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*i + 9, -3*g - 2*i = -2 + 11. Let n be (5 - 3)*g\/(3\/20). Is ((-1226)\/8)\/((-155)\/n + -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 + 433. Let l = q - 5323\/15. Is l not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1868 by 3.\nAnswer: 1868\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -20*v, 3984*k + 36 = 3982*k + 4*v for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -950*t + 8384 = -6816 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 13*h + 4303300. Let y = h - 357670. Round y to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -t + 22, 3*s + 5*t = s. Let g(a) = -36*a - 26. Let b be g(s). Suppose 6*k = 7*k - b. Calculate the highest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 + 1 + 4416*m - 4416*m. What is a(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -516506, -4132031, -13945596, -33056219, -64562918, -111564711, -177160616?\nAnswer: -264449651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4\/7 + 17692*k**3\/7 - 211728*k**2\/7 - 2547648*k\/7 + 4361472 = 0.\nAnswer: -12, 12, 8834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(20)\/sqrt(1000) + sqrt(2)))**2 - (sqrt(2) + -5)*-3) + -2*2*(-2*((sqrt(32))**2 - sqrt(2)) + sqrt(2)) + -3.\nAnswer: -9*sqrt(2) + 11901\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 840 by -21.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 6*h + 5. Sort -4, h, 5 in ascending order.\nAnswer: h, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 8 = 3*d - 8*d, -3*f - 3*d = -12. Let y be 1278\/12*(-240)\/9. Is y\/(-18) - f\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 22*v + 486. Let u be t(-22). Suppose -3*o + 3586 = -635. Suppose 9*x = u*x + o. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*w - 44 = -5*q, 5*q + 3*w - 42 = 0. Solve 2*x + q = 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 5:02 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/1985477?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63651387 divided by 3350073.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**13*n*n)\/(n*n*n*n**(-20\/9)\/n*n*n))\/(n**(-13)*n\/n**(-2\/5)))**(-28) assuming n is positive.\nAnswer: n**(-33796\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64613880 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + v**2 + 0*v**2 + 1559 - 20*v**3 + 3*v**2.\nAnswer: -20*v**3 + v**2 + 1559","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -247 - -249. Suppose -l = r*v - 14349, -7*l + 4*l - 5*v + 43046 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/18 - ((-32)\/60)\/8. Sort h, -2\/5, 1, -0.09 in ascending order.\nAnswer: -2\/5, -0.09, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u + 882 = 18*u + 31*u + 7*u for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/10)\/((-6)\/60). Let i(p) = -p**3 - 9*p**2 + 19*p - 24. Let n be i(-11). Calculate the highest common divisor of z and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 7.4. Let j = h - 9. What is the nearest to -2\/5 in 3, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 - -5 - (-60 - (10 + -29)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/16*(-24144)\/31689*(-3)\/20\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 548739945 divided by 3\nAnswer: 182913315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, -89, -252, -497, -836, -1281, -1844, -2537?\n\"Answer: -2*p**3 - 23*p**2 - 10*p + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 758\nAnswer: 758.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*r*y**3 + 30004*r*y**2 - 2*r*y + 3458*r + 4 wrt y?\nAnswer: -72*r*y + 60008*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -7.75613\nAnswer: -10.75613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 16) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:27 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/sqrt(112)*6.\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**(4\/9)\/((q*q\/(q**(2\/3)*q))\/q*q*q**(-8)) assuming q is positive.\nAnswer: q**(67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-28) - 49\/(-4). Suppose 2*n - u = 12. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220335, -220333, -220331, -220329, -220327, -220325?\nAnswer: -220323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -112327 times -0.3\nAnswer: 33698.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/3)\/q**(15\/7) assuming q is positive.\nAnswer: q**(-59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 2, a: 2, h: 6, u: 3}. What is prob of sequence uqu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 103, 259, 477, 757?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -2*z - 26, 3*z + 218 = -93*y - 148 - 21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:19 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1886, 8017, 18234, 32537, 50926, 73401?\nAnswer: 99962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -101010011101100?\nAnswer: -101010011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -14109*k + 6. Let u(f) = -14108*f + 7. Let t(d) = -3*n(d) + 2*u(d). Is t(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 241 = -5*f - 2*m, 4*f - 192 = -2*m. Calculate the remainder when f is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r - r + 26*r - r.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -6689 and 210665 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 + 33. Let i = 114424.937 - 114488. Let y = i - t. What is y rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*d - 2*u - 2, -d = -u + 2. What is the tens digit of 22*(-1)\/d + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*n = 45, -3*n = 3*a + 2*a - 75. Let i = a - 14. What is the units digit of -5 + 5 - (-17 - i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r**10*r))\/r**(-22\/5))**0 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(12) + -2*sqrt(1452))\/(-4*sqrt(64) + sqrt(4)))**2 - -3*(2 + sqrt(3888) - sqrt(3888))).\nAnswer: 422\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = -g. Let m be ((-3)\/6)\/(6\/(-4)). Let f = -3149\/2 - -1573. Put f, g, m in descending order.\nAnswer: g, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 6*c + 5. Let u be h(6). Suppose 0 = 2*g - u - 7. 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: What is the common denominator of 1\/152 and -37\/76?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36289072 to the nearest integer?\nAnswer: 6024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1559595.\nAnswer: 3, 5, 173, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355747.6km to micrometers.\nAnswer: 355747600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*21\/6*(-603)\/(-2814)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*18\/496*10\/(-36)*1320\/(-550).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 2. Let u be o(3). Let j(v) = v**2 - 7*v + 7. Calculate j(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 6:15 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 124, -1373, -4, 4, -2 in ascending order.\nAnswer: -1373, -4, -2, -1, 4, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 - 5*n**2 + 5*n**2.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 1:02 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7813975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -3*v - 33, -4*v + 2193 = 5*x + 2210 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91\/2? (a) -3\/68 (b) -2\/15 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -200*t + 1089*t - 842*t + 1411*t + 964*t to w + f*t and give f.\nAnswer: 2422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15157, -14916, -14513, -13948, -13221, -12332, -11281?\nAnswer: -10068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3563913222?\nAnswer: 2, 3, 65998393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 + 9*z - 9. Let x(o) = 7*o**3 - o**2 - o + 1. Let f(k) = 6*k**3 - k**2 - 3*k + 3. Let s(p) = f(p) - x(p). Calculate 2*d(g) + 9*s(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 110111000110000 (base 2) to base 5\nAnswer: 1400313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m - 16*m - 3*m - 147. Does 46 divide y(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 3, 11, 19, 27?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*i + 906, -3*i + 0*c + 681 = c. Let w be 3\/(-6)*-1*i. Let y = w + -79. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*a**3 + 8 - 554*a**3 + 453*a**3.\nAnswer: -a**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -958, -3846, -8660, -15400, -24066, -34658, -47176?\n\"Answer: -963*z**2 + z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -4*a + 61, -49*f + 8*a = -26*f - 26*f + 117 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 188.8 - 4?\nAnswer: 184.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/4)*b)**(1\/2))**(39\/7) assuming b is positive.\nAnswer: b**(351\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/13 + 20120*m**2\/13 - 40246*m\/13 + 1548 = 0 for m.\nAnswer: -10062, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**3\/3 + 3*j**2 + 64*j + 1146. Calculate x(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 12*i**3 - 840*i**2 + 67. Calculate a(70).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*t = 150, -8*s = -6*s + 3*t - 293. What is the highest common factor of 731 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 976357459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 511 + -507. Let k(u) = -u**3 + 22*u**2 - 2*u + 49. Let o be k(22). Solve -13 = m + b*i, 3*m - o*i = m + 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p*r*t - 114*p*t**2 + 2*p*t + 112*p - 9*r*t**2 - 5*r*t - r + 3951*t**2 + 24*t - 1 wrt t?\nAnswer: -228*p - 18*r + 7902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/551 - 14853\/4408. Calculate the common denominator of i and -29\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 105245 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1 = -19. Suppose 0 = -2*j + 5*y + 21, -8 = -j - w*y + 6*y. Let g be (-1)\/((-1)\/20)*(-1)\/j. Solve g = 5*x - 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 + 3*m**2 + 42*m + 82. Calculate l(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/(-8))\/(39\/(-416)*(-140)\/2205) is divided by (-66)\/(-9)*(2 + 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -417\nAnswer: -83.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o + 2. Let s(b) = 11*b - 5. Let t(h) = 3*s(h) + 8*x(h). Let q = 17 + -11. What is the units digit of t(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -309\/71 - -47825\/9798. Let o = k - 2\/69. Let l = 0 - -0.1. Which is the third smallest value? (a) l (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1946317 divided by -38?\nAnswer: -1946317\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31302 is divided by 101.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*j - 4*a, j - 5*a = -7*a + 16. Calculate the greatest common factor of 57 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 2*c**3\/3 - 58926. Let a(b) = 3*b + 0 - 1 - 39*b. Determine n(a(g)).\nAnswer: 2592*g**2 + 144*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 2528.\nAnswer: 7584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 2:36 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -117.48 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -914 = -16*z + z - 1079 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 269741605 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from {g: 3, z: 3, m: 2, o: 3, e: 2, u: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93343969 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.4108 (b) -0.06 (c) 18 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 + 23*d - 21. Suppose 28*f = 5*f + 23. Let x(r) = 2*r**2 - r + 1. Let y(b) = f*x(b) + o(b). Factor y(j).\nAnswer: -2*(j - 10)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 11 = -2*r + 14*c, r + 22 = -4*c. What is the tens digit of (2\/(-6))\/(r - (-130494)\/13050)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6156, -6159, -6164, -6171, -6180?\nAnswer: -6191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08534 + 0.0845014. Round v to five decimal places.\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 16 = 5*v, 24 = 5*v + 3*g + g. Suppose -s - s + v = 0. Suppose 0 = 5*t - 1 - 4. Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -7.1?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 53*y + 3 = -2*g - 51*y, 132 = 15*g + y for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -278*h**3 + 96*h - 5 wrt h?\nAnswer: -1668*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 263825 and 68795007.\nAnswer: 10553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**3 - i**2 + i + 2. Let l(n) = n**3. Let q(j) = -6*l(j) + p(j). Suppose 4*z + 0*w + 2*w = -2, -2*z - 2*w + 2 = 0. What is q(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -v + 9, -3 = 2*a - 0*a + 5*v. Suppose -4*r - a = -5*r. Suppose r*m - 121 = 95. What is the remainder when 106 is divided by m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 18*q**2 + 0*q**2 - 13*q**2 - 8*q**2. Let t(u) = -5*u**2 + 0*u**2 + u**2. Calculate b(t(x)).\nAnswer: -48*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 13. Let l(o) = o + 7. Let c be 106\/(-530) - 42\/(-10). What is c*d(r) + 7*l(r)?\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2231 * -0.13.\nAnswer: -290.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v. Let s(z) = 18*z. Determine x(s(j)).\nAnswer: 180*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5 - 1324048*p**4 + 214598832*p**3 - 635852168*p**2 + 633204052*p - 210626664 = 0. Calculate p.\nAnswer: -331174, 1, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 1. Let v(j) = -10*j - 1. What is -v(m) + 2*x(m)?\nAnswer: 12*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -263*x**4 + 1158960*x**2 + 84 - 1158960*x**2 with respect to x.\nAnswer: -1052*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 12:57 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Let b(w) = c + 3*w - 8 - w. Let s be (3 - 1 - 0) + 2. Give b(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51874, 51868, 51850, 51814, 51754, 51664?\nAnswer: 51538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (2*sqrt(396))**2 + sqrt(396)).\nAnswer: 6*sqrt(11) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -6, -3, -4 in decreasing order.\nAnswer: 5, 0, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12710 - 45224. Let z = 78514 + v. Round z to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*n + 23*n + 52 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1362450 to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/1196 and -63\/4138684?\nAnswer: 1237466516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/3)\/(24\/108). Suppose 2*i = 4*w - s, -3*i + 5*w = 2*i + 5. Solve 0 = -2*j - 6, -4*t - 2*j = i - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sveonoes. Give prob of sequence nos.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49840874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 2\/17 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 0*m - 1\/24*m**4 - 1\/120*m**6 + 1\/30*m**5 + 0 + 12*m**2 + 0*m**3. Suppose y(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592*k + 458*k = 41*k - 5473*k - 142604 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2. Let t(n) = -57*n**2 - 62*n. Give t(w(h)).\nAnswer: -228*h**4 - 124*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-35)\/(-10))\/(-7)*-2 + -1. Suppose 26293 = 5*s - 3*y, j*s - 2*s + 5*y = -10502. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -7. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzzzzzyzzzy. What is prob of sequence zz?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**4 + 1 + 440095*k**3 + 6*k**4 - 142*k**2 - 440094*k**3 to j*k**4 + c*k**3 + z*k**2 + o*k + u and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -616?\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + 0*d)*((2*d + 4*d - 5*d)*(-2 + 1 - 1) - 3*d + 1191 - 1191 + (4 - 2 - 4)*(-2 - d + 2)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -413927 divided by 413927?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -27. Which is the third smallest value? (a) -1.1 (b) f (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 623937.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 399, 205, 11, -183, -377?\n\"Answer: -194*n + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 23*t + 30. Let f be s(24). Suppose -3 = -f*r + 5*r. Factor 0*a + 0 + 0*a**2 + 3\/2*a**r - 3\/4*a**4.\nAnswer: -3*a**3*(a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 3\/25 in ascending order.\nAnswer: -1, 0, 3\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -15*b**2 + 0*b + 0*b**3 + 27 - 33\/4*b**4. What is the second derivative of p(w) wrt w?\nAnswer: -198*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**5\/4 + 2859*q**4 + 8411433*q**3 + 2696111011*q**2\/2 - 5627890869*q\/4 - 16277843457\/2 = 0?\nAnswer: -5633, -171, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 7*j + 2*h = 230, 3*j + 2*h - 175 = 0. Find the common denominator of 51\/20 and 106\/(-20) - (209\/j - 4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29242 less than or equal to -29176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**2. Let f(c) = -10 + 6 + 2*c**2 + 15 + 11*c. Suppose -3 = t + 8. Let i(d) = d**2 + 4*d + 4. Let k(o) = t*i(o) + 4*f(o). Give k(q(z)).\nAnswer: -108*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4.93. What is the biggest value in 3, -0.1, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -140 (b) -4 (c) 2.55 (d) -172 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -76*l**2 + 2417*l + 477. Determine d(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 300120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 385\/(-33)*(-9)\/15. Let f(s) = 3*s**3 - 2*s - 5. Let c(l) = -5*l**3 + 4*l + 9. What is g*f(q) + 4*c(q)?\nAnswer: q**3 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -704 divided by -4?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*(-22)\/4290)\/((-2)\/(54\/15)).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c2f15 (base 16) in base 14?\nAnswer: 555393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2745346742.\nAnswer: 2, 211, 449, 14489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 7, -48, 3, 1 in descending order.\nAnswer: 46, 7, 3, 1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 6:43 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/6 - 13)\/(-2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1299647?\nAnswer: 1299647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 13. Let v(z) = 2 + 435*z**3 - p + 924*z**3. Let g be v(-1). What is g rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111010000011110 (base 2) in base 8?\nAnswer: 172036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2 + sqrt(44))*-4 - (-1 + 3*sqrt(11) - -1*sqrt(396)))**2.\nAnswer: 306*sqrt(11) + 3260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.2. Let z = -82.9 + 87. Let c = z + a. Which is greater: c or 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 700420 and 6503900.\nAnswer: 45527300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 12:14 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 830 = -4*v, -2*v + y + 417 = -0*y. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -20*q**2. Let c(v) be the second derivative of v**5\/30 + 7*v**2 - 20*v. Let u(j) be the first derivative of c(j). Calculate u(i(m)).\nAnswer: 800*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/5 of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*b - 361*b = -34476 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-240.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 0) + 6 + 2 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 16) in base 2?\nAnswer: 101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567993651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 455920 by 8.\nAnswer: 56990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17657 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**4 + 79865*x**3 - 79815*x**2 - 718785*x + 718740 = 0.\nAnswer: -3, 1, 3, 15972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -555*r**4\/4 - 225*r**2\/2 + 3*r - 2448. What is the second derivative of y(m) wrt m?\nAnswer: -3330*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33392.\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + 85*n**2 + 49*n + 18. Give v(43).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, 598, 0.5, -3, -1.6, -9?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 10. Let x be a(11). Let l be 3*(-1)\/(0 - x). Suppose c - 34 = -7*k + l*k, -6 = c - 4*k. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0.3, 8.6, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*h**3 - 49\/5 - 22\/5*h**2 - 1\/5*h**4 + 84\/5*h.\nAnswer: -(h - 1)**2*(h + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2799738 and 2177574?\nAnswer: 19598166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 94 - 51 = -5*z, 0 = 5*z + 5*d - 155. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let i = -7 - -11. What is the smallest value in m, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4846236379.\nAnswer: 4846236379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102783589 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 5047 = -26. List the prime factors of q.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 111692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(75\/(-18))\/5 + (-129)\/258. Let z = 79\/2 - 42. Which is smaller: z or p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16434*n**2 + 13958*n - 1.\nAnswer: -32868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*h + 815*h = -21086 + 6326 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 11*j - 60*j + 21 - 28 as w + g*j and give g.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-81)*120\/(-16) + (-2556)\/(-36).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {m: 8, w: 5}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*y + 14, f = -2*y + y + 2. Suppose l - 12 = -0*d + 2*d, -y*d = 25. Suppose 5*x = -4*t + 5*t + 1, 0 = -l*t - 3*x + 11. Solve 0 = t*z - 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 513*a**4*l**2 + 37962*a**4*l - 554*a**2*l**2 - 13422*a**2 wrt a.\nAnswer: 12312*a*l**2 + 911088*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 291, 2 in decreasing order.\nAnswer: 291, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 882, 881, 880?\n\"Answer: -h + 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-8)*(-7)\/((-42)\/(-4)). Which is the third smallest value? (a) -0.14 (b) 6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 6*b - 5. Let g be l(-4). Suppose 0 = -2*d, -24 = -g*f - 7*d + 3*d. Calculate the remainder when f is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 149340.8 kilometers?\nAnswer: 149340800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, a: 1, m: 1, l: 1, x: 6}. What is prob of sequence ly?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - 36*d**4 - 396*d + 6*d**3 + 201*d + 196*d + 3*d**2 in the form a*d**4 + o*d + z + j*d**3 + q*d**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 5. Suppose k*v = -5*r + 45, 0 = r - 0*v - 4*v + 16. Calculate the smallest common multiple of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssss. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9701*o + 23760 = -10229*o for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 22 - 54. Suppose d - 4*d = 12, -3*q + w = -d. Calculate the lowest common multiple of -2*6\/4 + 11 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 105*t. Let h(o) = -19*o. Calculate h(a(m)).\nAnswer: -1995*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yleeyylyjyy. What is prob of sequence yjl?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/110432 and -3\/9338?\nAnswer: 2539936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 544544, 544545, 544546?\nAnswer: 544547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/9695 and 52\/4155.\nAnswer: 29085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 160. Suppose 3*n - 172 = b + b, -5*b + k = n. What is the highest common divisor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-23)\/(322\/(-66)) + -5)\/(6\/(-7)). Suppose -a + a**2 + s - 1\/3*a**3 = 0. What is a?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = 12. Suppose -x = -3*v + 120, -4*v + 33 = l*x - 127. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 171\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -r - 5, 8*r = 3*h + 3*r - 15. Let t = -4.2 + 0.2. Let l = -4.2 - t. Which is the third smallest value? (a) h (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x. Let k = 120 - 120. Let n(s) be the first derivative of 1 - 7\/2*s**2 + k*s. Give n(z(o)).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234566, -234571, -234552, -234497, -234394, -234231?\nAnswer: -233996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/17 (b) -2\/13 (c) 0.04 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, o: 1, u: 1, a: 3, c: 3, e: 5}. Give prob of picking 1 e and 1 h.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -612381 - -0.1.\nAnswer: -612380.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -69597, -69617, -69651, -69699, -69761, -69837, -69927?\n\"Answer: -7*s**2 + s - 69591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0.01, 0.09, 3, 0.6.\nAnswer: 0.01, 0.09, 0.6, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/1036*(-12)\/4)\/3.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3698 + 3694. Which is the second smallest value? (a) -22 (b) r (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46904288443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 242, 549, 932, 1391, 1926?\n\"Answer: 38*c**2 + 193*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18485.\nAnswer: 5, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.6833 - -0.3167. What is the nearest to 0 in m, -0.1, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 1, u: 1, n: 1, v: 1}. What is prob of sequence pqv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 0*b**3 - 25*b**2 - 10*b**2.\nAnswer: -b**3 - 35*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6)*(-12)\/(-8). Let u be (-3)\/(68 + -8) - 944\/320. Sort b, 0, u, 3 in descending order.\nAnswer: 3, 0, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 29. Solve 2*r - o = -1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -378, -798, -1218, -1638, -2058?\nAnswer: -2478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 6)*(109*m + 4 - 2 - 108*m).\nAnswer: -3*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3588 is divided by 1786.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 4*o + 23. Let p be i(-8). Is (((-4584)\/p)\/(-4))\/(6\/(-9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -325698*s**4 - 577092*s?\nAnswer: -3908376*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1 less than 615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 4:23 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n + 316 = 0. Let p = -234 + n. What is the remainder when (-1 - p)*(-4)\/(-12) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**7\/840 + q**4\/12 + q. Let s(i) be the third derivative of a(i). Let u(g) = -4*g + 2*g - 2*g + 3*g. Calculate s(u(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, v: 5}. What is prob of picking 4 v?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2530400 divided by -101216.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - -0.5. Suppose -7*w - 28 = -12*w - 4*m, 3*w - m + 7 = 0. What is the closest to w in 6, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 339*n*z**3 - 4*n*z**2 - n*z + 16*z**2 wrt z.\nAnswer: 2034*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1452521 and 103959003?\nAnswer: 727713021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 374 + 370 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5133 - 0.47833. Let y = d - 0.0349707499. Round y to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 26. Give r(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*9 - (2 + -2). Suppose 7*d - 12*d = 20, d = 2*f + 60. Let t = r - f. 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: Calculate -0.1*12668060.\nAnswer: -1266806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 6761?\nAnswer: 2704.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2082613297?\nAnswer: 2082613297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 18601.54692 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/4*(2 + -4). Suppose d - h*r - 1 = -19, -4*d + 53 = 5*r. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1164485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24389\/3832 - -5\/479. What is the common denominator of 11\/14 and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 19463749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - 2*o**2 + o**2)*((-4 + 2 + 0)*(1 + 2 - 1) + 1 + 0 - 4)*(-3 + 2 + 0 + (3 - 3 - 2)*(4 + 3 - 5)).\nAnswer: -140*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001167684 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13889501 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**3 + 9*s - 1. Let g(l) = 8 - 3*l**3 + 2 + 2*l**3 - l - 9. Let f(w) = 15*g(w) + 3*j(w). Differentiate f(h) wrt h.\nAnswer: -9*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3\/3 + u**2\/2 + 5*u - 1. Let c be t(0). Let h = c - 2. Solve -1 - h = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724*p**3 - p - 721*p**3 + p.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630555290 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/2024 and 67\/6.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223 + -209 + (-17 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 h when three letters picked without replacement from {h: 2, m: 2, c: 4, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 15*k**2 - 13*k**2 - 18*k**2.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 11, 89, -55 in decreasing order.\nAnswer: 89, 11, -21, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = -3*q + 4*f - 15, 4*f = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 60*x**2 + 22*x + 1342. Let o be u(-60). Solve 2*c + 5*p - 6 = 25, -c + 5*p = o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 15 + (-2 + -91 - (-15 + -10))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 122*o + 9768. Calculate h(-80).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20053916*h**4 - 2*h**3 + 24386*h**2 + 228*h?\nAnswer: -481293984*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**3\/3 - 31*c**2\/2 - 40*c. Let x(t) = t**2. Give g(x(v)).\nAnswer: 2*v**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 15*i - 2. Suppose 0 = -5*a - i*m + 2460, -3*m + 1455 = 3*a - 6*m. Round a to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -32\/4803 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32631 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.3. Let t be (5 + (-108)\/21)*-1. What is the closest to z in -0.1, t, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**5)\/c*c**(-3)\/c*((c*c**21)\/c)\/c**(-3\/2) assuming c is positive.\nAnswer: c**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 3, -2\/5, -8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 at most 397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -5.78?\nAnswer: -2.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/17535 and 8\/105?\nAnswer: 17535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*f - 0*f - z, 5*f + z = 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -132181814385.\nAnswer: -132181814384.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 3. Let u(y) = -9*y + 108. What is -u(r) + 6*v(r)?\nAnswer: 3*r - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**5 + 3715*k**4 + 383910*k**3 - 113583510*k**2 + 4742816085*k - 4629620205 = 0.\nAnswer: -441, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290505 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18115.90368895 + -18115.9. Let p = -0.0037 + z. What is p rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40759974, 81519948, 122279922, 163039896, 203799870?\n\"Answer: 40759974*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163.86118 + 183.6576. Let l = -19.8 + f. What is l rounded to four decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -51. Suppose 130 + 536 = a*q. Suppose -q - 241 = -4*z. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 33138321.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g. Let b(o) = 7. Let l(h) = -10*h**2 + 2*h - 14. Let s(v) = -2*b(v) - l(v). Determine p(s(j)).\nAnswer: 50*j**2 - 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 2*j = -17*l - 75, -35 = -l + 4*j. Solve -l*h - 44 + 159 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 95756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*t - 61*t = -140*t - 598 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -583e - 5?\nAnswer: -5843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**6\/180 - 5*o**4\/24 + 19*o**3\/6 + 5*o**2. Let m(j) be the first derivative of z(j). Differentiate m(d) with respect to d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goog when four letters picked without replacement from {o: 4, g: 15}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + 12\/(-3))*1. Suppose -8*w + 2*w + 126 = a. What is the highest common divisor of 21 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**3*x**3 - 2*q**3*x**2 + q**3*x - 13*q**3 + 197647*q*x**3 + 5616*x**2 + 2*x wrt x?\nAnswer: -18*q**3 + 1185882*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3\/3 + 46786*w**2\/3 + 295692640*w\/3 + 252776423552\/3 = 0.\nAnswer: -11192, -1009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00472 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - -35. Suppose 50*k - 574 = 1526. What is the greatest common divisor of y and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 501*c + 15507. Give p(-31).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.55 and 344.\nAnswer: -877.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 14 + 37 - 18 - 5 - 15 to u*i + m and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61435 + 0?\nAnswer: 61435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/20)\/q**0*q**(2\/27)*q**24 assuming q is positive.\nAnswer: q**(12919\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-10) + 2\/5 - -5. Let x(f) = -2*f**3 + 18*f**2 + 7. Calculate the remainder when 13 is divided by x(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 18*g**2 + 915*g - 913. What is z(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20701*k + 20822*k - 2541 = 0 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n + 50. Let p be s(-8). Suppose -2 + 17 = -5*k. Let r = -11\/45 + 4\/9. Which is the closest to -1? (a) r (b) k (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4099235802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11189419 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 198850042 to the power of 1\/2, to the nearest integer?\nAnswer: 14101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w - 1. Let b be h(24). Let s = b - -75. Calculate the remainder when 43 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 17*n**2 - 36*n + 40. What is the lowest common multiple of 32 and z(-16)?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (84\/9)\/((-1)\/(-3)). Let b be (5 + -1 - 1) + 11. Calculate the highest common divisor of b and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-54)\/10 - 4\/(-10). Let x = 9 + t. Suppose -3*v + x*n - 22299 = -82299, 4*n = 0. What is v rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*k - 5 = 14 + 3061 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3102534448 + -3102534385.40422041. Let i = o + -62.56178. Let a = -0.034 + i. Round a to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61\/(11529\/(-126)))\/(15\/9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from ayyalaaayl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 366*w**2 - 413*w**2 + 4 - 4. Let c(g) = -g. What is r(c(t))?\nAnswer: -47*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 699 (base 13) to base 15\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -9. Let d be (-2574750)\/88 + 1 - 0\/a. Let k = d + 29259. What is the common denominator of k and 75\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/9, -4, 2, 1\/3, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80376 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**(1\/3))\/g*g)**(-29)*(g**(2\/5))**(4\/5))\/((((g*g**(-6\/7)\/g)\/g)\/(g**(-2\/3)\/g))\/((g\/(g*g*g**(-1)\/g))\/g**(-4\/5))) assuming g is positive.\nAnswer: g**(-34312\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*t = 32669431 - 32666887 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 81. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6614 + -11.3386. Put -4, 18, 3, y, 5 in increasing order.\nAnswer: y, -4, 3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-168)\/(-36) + 1\/3. Suppose r*w = w + 100. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**3 + 22*c**2 + 5*c + 14. Let g(p) = -5*p**3 + 23*p**2 + 6*p + 15. Let l(q) = 6*a(q) - 5*g(q). Determine l(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a86 (base 12) to base 5.\nAnswer: 1232011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 divided by -1988?\nAnswer: -38\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2529004939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7728 divided by -7.\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1258338029 - -411.9\nAnswer: 1258338440.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.1 and 807.\nAnswer: 2501.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64463, 64492, 64521?\n\"Answer: 29*b + 64434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(117) + -5*sqrt(117)*-2 + sqrt(117))*-5)\/(sqrt(324) - (sqrt(324) + -1*sqrt(324)*-2)))*5*-2.\nAnswer: -50*sqrt(13) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = -v. Let u(p) = p**2 + 4*p + 1. Let k be u(v). Suppose 4*o = -5*w + 41, w - 2*o + 2 + k = 0. Calculate the greatest common divisor of 55 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 18*n = 388. Suppose 21*j + n = 2*l + 16*j, 0 = 4*l - 4*j - 164. Solve -4*p = -5*r + l, -2*p = 5*r - 3 - 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3215492.06 - -297.232?\nAnswer: 3215789.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 2, -5, 0.\nAnswer: -5, -4, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 4. Let c(w) = -5*w + 8. Determine 4*c(a) + 7*y(a).\nAnswer: a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1867247.\nAnswer: 587, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 5, 7\/48, 1, 8\/695?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 142710, 285397, 428046, 570639, 713158, 855585, 997902?\n\"Answer: -3*y**3 - y**2 + 142711*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 145\/40 + (-27)\/(-72). Solve 5*c = 0, 4 = d - 3*d - a*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -80a5 - 8976?\nAnswer: -15a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5721115 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uflxlxuxlxxufflf. Give prob of sequence lffl.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/112 and -6\/7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2. Let p be v(2). Let a(o) = -o**3 + 4*o**2 - 2*o + 2. Suppose 4 = 3*s - 5. Let l be a(s). Sort p, l, 0.\nAnswer: 0, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, 179\/8, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m**5\/5 - 1938*m**4\/5 + 7556*m**3\/5 + 43338*m**2\/5 + 10332*m\/5 = 0. What is m?\nAnswer: -246, -3, -1\/4, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.8? (a) 0.31 (b) -0.5 (c) 3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5094253 and 3139?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1644515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24199\/2616 - 1\/2616. Is d <= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 121162110*t**2 + 107045581 wrt t.\nAnswer: 242324220*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3428.63 - 3395. Let z = 33.7 - r. Suppose -2*l = -5*j + 3*l, -9 = j - 4*l. Which is the biggest value? (a) 3\/5 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2*478\/1673?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**4 + 80*p**3 + 460*p**2 - 1200*p = 0.\nAnswer: -6, 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 63510*-1193\nAnswer: -75767430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 - (4*-1)\/((-9)\/(-18)). What is the second derivative of 49*n + 15*n**2 + 46*n - 11*n**2 + n**t wrt n?\nAnswer: 6*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1011 + -443. Let q = -567.99915 + o. What is q rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59710 and 644455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -177670 (base 11) in base 9?\nAnswer: -456344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 76\/228*(-252)\/30\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 10*f**3 + 2*f**3.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 207. Let z be l(72). Let i = -23 + 22.8. Which is the nearest to z? (a) 3 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + -10*15886\/(-5875)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(2\/3)*m)*m**(-8)\/m)\/(m**0\/m**1))\/(m**(2\/5)\/(m\/(m*m**(-8))))**(-1\/16) assuming m is positive.\nAnswer: m**(-977\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, r: 1, f: 1, c: 2, n: 1, d: 2}. What is prob of picking 2 c and 2 d?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364, -746, -1132, -1528, -1940?\nAnswer: -2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 4 (c) -10\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277, 1043, 2331, 4147, 6497, 9387?\nAnswer: 12823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -467*n**4\/12 - n**3\/6 - 295*n**2\/2 - 89*n - 3. What is the derivative of g(b) wrt b?\nAnswer: -934*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10332086, -10332088, -10332092, -10332098, -10332106, -10332116, -10332128?\n\"Answer: -y**2 + y - 10332086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 1. Let h(q) = -9. Let k(t) = -h(t) - 9*o(t). Let i(v) = -10*v - 2*v + 11*v - v. Give i(k(u)).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -13*a + 3. Let m be c(6). What is the remainder when 117 is divided by (-55)\/m*33 + (-4)\/20?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -177 + -3?\nAnswer: -17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -324.45101 rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000037694 to 7 dps.\nAnswer: 0.0000377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**3 - 7*h**2 + 2*h. Suppose 12*v + 54 - 102 = 0. Is n(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.51 - -2.01. Let a = 0 + 1. What is the fourth biggest value in j, -0.1, a, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 7*a + 9. Suppose 0 = 5*m - 2*r + 40, 0*r = 5*m - 3*r + 40. Give t(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 60\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 110\/(-8) + (-6)\/24. Let t = -12 - q. Is 2 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 4*l + 4*b, -2*l - 62 - 23 = -3*b. Let y = l - -81\/2. What is the closest to -0.5 in -0.3, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 2*b - 5. Let n(z) = -3*z**5 - 668*z**4 - 4*z**3 - 186*z**2 - 7*z + 20. Let s(u) = 4*l(u) + n(u). What is the third derivative of s(w) wrt w?\nAnswer: -180*w**2 - 16032*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52994044879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*2\/1 - -8. Calculate the greatest common factor of f and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1968 and 35\/46.\nAnswer: 45264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -120*h + 8388 + 18332 + 4360. What is the highest common divisor of h and 2775?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-333)\/(-117) - (-2)\/13. Let a be 5*(1 + (-1)\/(-5)). What is the second derivative of -3*w + 0*w**k + a*w - 4*w**3 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11403756 a multiple of 1652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47787474?\nAnswer: 2, 3, 7, 113, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.016\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9708465 to the nearest integer?\nAnswer: 3116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 249 = o - 332, 0 = -p + 1. What is the highest common factor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004230864 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(162)\/sqrt(6))\/(sqrt(9)*-1*-6).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 3 - 4*r + 4*r**2 + 3*r + 5*r - 2*r in the form u + j*r**2 + i*r and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43.0091 and -4?\nAnswer: 47.0091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) - 3*sqrt(288))*-1)**2 + 3)*-5.\nAnswer: -5775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*i - 35 = -14, -2*g + 18 = -3*i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 197331 - 197352. Suppose h = -4*x - x + 14, -5*x + 3*h - 2 = 0. Which is bigger: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2904767*j. Let r(v) = -4*v**2. Determine r(p(m)).\nAnswer: -33750685297156*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 10*k = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 132 or 76?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -354*h*x**3 + 52*h*x**2 + h*x - 2*h - 404*x**3 + 45*x - 1 wrt x?\nAnswer: -2124*h - 2424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0102736805 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 4*x - 4*x)*(2 + 4 - 1).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + c + 6. Let l be k(0). Suppose q - 2*t = l, 7*q = 2*q + t + 12. What is the biggest value in -5\/3, q, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11392263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 11:00 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(k - 3*k + k) - 2*k + 2 - 2 + 5*k - 3*k - k + 0*k + 0*k - 3 + 2*k)*(-2*k**3 + 0*k**3 + 4*k**3).\nAnswer: -2*k**4 - 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 0.13334?\nAnswer: -2.13334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 304930427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-5 - (4 - 5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576563743.\nAnswer: 7, 67, 175621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224147 and 208243.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.07, 0.2, 384, -1\/6, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2756 - -2722) + (13 - (4 + (-5 + 3 - -2)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-14)*w*w**(-1\/15)*(w\/((w**4*w)\/w)*w)\/w*w*w*w**(-5))**(-8\/9) assuming w is positive.\nAnswer: w**(2048\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 592 and 140489.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 4*w**2 - 2*w + 3. Let m be c(-4). Let k(l) = l**2 - 11*l + 8. Let a be k(m). Suppose s - a = -s. Solve s*b - 3 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 26. Let x be k(15). Solve -x*f - 5*n = 0, n + 2 = -f + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01102 to four decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1483, -1, 1\/4, -2\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4337*o = 4325*o + 7884. List the prime factors of o.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 5*n = -9*o + 39, 0 = 3*o + 2*n - 20. Suppose -2*v + 5 = -7. Factor -6*b**4 + 0*b**o + 0 + v*b**3 + 3\/2*b**5 + 0*b.\nAnswer: 3*b**3*(b - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 840898 - 582428. Round j to the nearest one thousand.\nAnswer: 258000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*d + 2*d + 8, g = -2*d - 4. Suppose d = 6*y + 5 - 11. Let w(i) = -i**2 - 7*i + 6. Let b be w(-8). Put 0, y, b in decreasing order.\nAnswer: y, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.910628 * -0.5\nAnswer: 0.455314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4032 is divided by 2014.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -618.407.\nAnswer: -247.3628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135093, -540308, -1215659, -2161140, -3376745, -4862468, -6618303, -8644244?\nAnswer: -10940285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 606444115 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*f + 12*f = -12765. Solve 43*v - 57 = f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5828520 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 438861589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 18636, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + sqrt(275)*-1 + sqrt(275)) + -5)*-6*1 + -3.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*g + 14 = 0, 2*d - 3 = 4*g + 23. Let z = -2 - 1. Sort 1, d, z in descending order.\nAnswer: d, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 1450 = -328. Differentiate 110*n**3 - 9*n - 3 + 9*n - m wrt n.\nAnswer: 330*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 571.6898nm?\nAnswer: 0.0000000005716898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 78415658, 3 in ascending order.\nAnswer: 2, 3, 78415658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-39)\/6)*2. Let g = b - -33. Let n = g - -18. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 + -12. What is the remainder when s is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 6\/25*t**5 + 0*t + 0*t**3 + 0*t**2 - 3\/20*t**4 + 26 - 1\/10*t**6. Solve m(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 200 + -200. Suppose s = -11*t + 810 - 150. What is the remainder when t is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(0 - 19\/1). Let t = 15 + n. Sort -3, 1, t.\nAnswer: t, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50903*p**5 - p**4 - 19*p**3 - p**2 + 1488100*p.\nAnswer: -3054180*p**2 - 24*p - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1990, -3978, -5966, -7954, -9942?\nAnswer: -11930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*o**2 + 3*g + 5*o**2 - 1063762*o + 28763942 with respect to o.\nAnswer: -2*g*o + 10*o - 1063762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 12662.\nAnswer: 481156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 15, -4*q - 2*a + 16 - 1 = -q - 3 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 14 = -2*t, -3*t + 1879*z - 1880*z - 27 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2225527914 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**3 + 2*x**2 - 7*x + 1. Let o(j) = 5*j**3 + 2*j**2 - 8*j + 1. Let w(d) = 6*f(d) - 5*o(d). Let i be w(1). Let r = 22 - i. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apq when three letters picked without replacement from {a: 1, q: 3, k: 4, p: 4, m: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 863*g**5\/5 + g**4\/4 + g**3\/3 - 1678*g**2 + 5264. What is the second derivative of o(r) wrt r?\nAnswer: 10356*r**2 + 6*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 6.086 (b) -2\/5 (c) 1 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1100101001 (base 2) to base 16\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10572154 divided by -23546.\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -24. Let j be (2 - 1) + l + 6. Factor 10 + 15 + 18 + 2*k**j - 37 + 8*k.\nAnswer: 2*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(-4*k**2 + 6*k**2 + k**2) - 3*k**2 - k**2 + 2*k**2 + 8*k**2 + 11*k**2 - 9*k**2.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44566*u - 44556*u + 322 = -222 - 166 for u.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5742)\/(-396) + -13*1 - (-78)\/(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -350120 (base 6) to base 3\nAnswer: -1111221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8627097 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.061 + 37.061. Let i = f - 39.5. Let l = i - -20.1. What is l rounded to zero decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 2. Let r be (-6)\/s + (-228)\/(-44) + -2. Suppose 5*f + 114 = 3*w, r*w - 175 = -w - f. List the prime factors of w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 4*z**2 + z. Determine l(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 59 = 31. Let a be 1 + (-6)\/12*v + 3. Factor -2\/5 - 8\/5*c - 8\/5*c**a.\nAnswer: -2*(2*c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-19\/4)*h*h**(-24)\/h*(((h\/h**(23\/3))\/h)\/h*h)**22 assuming h is positive.\nAnswer: h**(-2243\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 5. Suppose -3*i - p = -5*i. Suppose -i*w + 0*w - 676 = -n, 3*w - 4*n + 1004 = 0. Round w to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 divided by 174?\nAnswer: -233\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 36 = -5*s, 4*s = -0*j + 3*j + 4. Solve 5*d - 10*d + 2 = s*n, 3*n = -4*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4 + -1)*0. Let z(y) = y + 5. Calculate the lowest common multiple of (-44)\/(-2)*(o + 1) and z(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4524 and 3773484?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-4) - -19 - 0. Suppose 0 = 6*c - 4*c + u. Let a be 2*((-2187)\/6)\/c. What is the highest common factor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 23. Let c(q) = -2*q - 23. Let h be c(d). Let v = 9 + -11. Sort h, 1, v in increasing order.\nAnswer: h, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 700 - -2609.7. What is l rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 0*j**2 + j**2 + (-2 - 3 + 3)*(2*j**2 - 2*j**2 - j**2))*(2*j**3 + 3*j**3 - 2*j**3).\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -313*3.3.\nAnswer: -1032.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4309435?\nAnswer: 5, 13, 167, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**3\/6 + h**2 + h. Let l be (-11)\/((-660)\/8) + (-154)\/30. What is w(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*u**2 + 6736 - 6736 to the form k*u + d*u**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - l**4 + 0*l**3 - 2*l**3 + 4*l**3 + 3*l**4 - l to the form i*l**4 + o*l**3 + z*l**2 + u*l + t and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 19\/9, 0.\nAnswer: 0, 19\/9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -1999*r**6\/30 - r**3\/6 - 20*r**2 - 23*r + 3. What is the second derivative of g(p) wrt p?\nAnswer: -23988*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -9, -1, 0, -26, 16 in ascending order.\nAnswer: -26, -9, -1, 0, 12, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 1 - (-3)\/12*244. What is the highest common factor of 609 and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + ((sqrt(52) + sqrt(260)\/sqrt(20) - (sqrt(52) + sqrt(208)\/sqrt(4) + -2)) + (sqrt(156)*-3*2)\/sqrt(3))**2.\nAnswer: -52*sqrt(13) + 2201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -62*q**3 + q**2 - 31*q + 5. Let v(y) = -y**3 + y - 1. Let d(a) = b(a) + 5*v(a). Find the second derivative of d(p) wrt p.\nAnswer: -402*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 50. Let w(l) = -4*l - 8. Let i = 0 - 6. Let t be w(i). Calculate the highest common divisor of t and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42, -36, -42, -66, -114?\n\"Answer: -s**3 + 13*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*i**2 + 7\/2*i**3 + 108 + 162*i.\nAnswer: (i + 6)**2*(7*i + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(120\/(-9))*32\/42.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/5, -28, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 - -68?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -3179?\nAnswer: -635.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 110*j**4 + 16*j**3 + 28*j**2 + 54*j + 17. Let w(l) = 39*l**4 + 6*l**3 + 9*l**2 + 18*l + 6. Let r(m) = -6*p(m) + 17*w(m). Factor r(k).\nAnswer: 3*k*(k - 2)*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-6)\/(-6)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2288)\/33*3\/(-36) - 6. What is the third smallest value in 0, -13, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a gram in milligrams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 12:01 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 704001699 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/10 - (9 - 5870\/825) and -119\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26268, -52549, -78830, -105111, -131392, -157673?\nAnswer: -183954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 9557 = -5*i, -3*g + 4*i = -0*i - 14393. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(-4) - 3\/(-4). Suppose 10*s + 1158 = 1438. Calculate the greatest common divisor of r and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2440*z + 217 + 2443*z - 3*z**2 + 0*z**2. Let s(x) = 3*x**2 - x + 1. Let y(v) = -h(v) - 2*s(v). Differentiate y(a) wrt a.\nAnswer: -6*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 + -1. Let l = 0.3 - i. Sort l, 0.5, 3 in increasing order.\nAnswer: l, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -2 - (-27 + (5 - -7))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2) + -2)**2 + sqrt(2) - (1*sqrt(8))\/sqrt(4).\nAnswer: -4*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 3 + -2 - 3. Suppose 18*j = 94 + 266. Let y be (-55)\/(-6)*(-6)\/j - w. What is the nearest to -2 in -2\/5, y, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31926, 63702, 95486, 127284, 159102, 190946?\n\"Answer: w**3 - 2*w**2 + 31775*w + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/414)\/((9195\/15887)\/(-3)). Let l = 77\/230 - r. Let v = 27569\/4904 - l. Find the common denominator of -47\/4 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 3*m**5\/20 + m**4\/4 - 8*m. Factor g(j).\nAnswer: 3*j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2. Let n(p) = -p - 48*p - 162*p**2 + 49*p. Determine g(n(k)).\nAnswer: 78732*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -108*p + 0 - 3\/2*p**5 + 57\/2*p**3 + 9*p**2 + 0*p**4 = 0.\nAnswer: -3, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 3*r - r)*(4 + 0 - 2)*(0*r + r + 0*r)*(-r + 5*r - 2*r).\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -154, -362, -674, -1102, -1658, -2354?\nAnswer: -3202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*u**2\/9 - 620*u\/9 + 1922\/9.\nAnswer: 2*(5*u - 31)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-66) + ((-126)\/(-110))\/3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.30736 to 2 decimal places.\nAnswer: -7.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(117) - 1*sqrt(117))*-1*2)\/(-2*(sqrt(9) + sqrt(99)\/(sqrt(11) + sqrt(99)))*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 683 + 1502 = 0. Solve -136 + l = 3*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 27 = -i, -4*i - 4*x - 88 - 20 = 0. Are -0.2 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-756)\/(-3192))\/(((-195)\/20)\/(-13)).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 644\/48 - (2 + 1)\/12 and -75\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 416 - 574 = 0. Calculate the least common multiple of v and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:51 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124222625 or -124222632?\nAnswer: -124222632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24372?\nAnswer: 2, 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*q - 28. Let u be q\/(-5*4\/(-10)). Let s be (7250\/u)\/(3\/(-1920)). What is s rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32342237?\nAnswer: 19, 151, 11273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 8 = -0. What is the remainder when 23 is divided by (16\/10)\/(f\/(-30))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(45) - sqrt(5))*6 + sqrt(5))*6)**2.\nAnswer: 30420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 8.8. Let m = -7.9 - f. Which is greater: m or -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2*i**2 + 3*i**2 + 2*i**2 - i**2 + i**2 + (-4*i + 3*i + 2*i)*(2*i + 0*i + 0*i) + 0 - i**2 + 0)*(-7 + 5 + 13)*(-1 - 1 - 2).\nAnswer: -176*i**2 - 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2526, -19720, -66386, -157260, -307078, -530576, -842490, -1257556?\n\"Answer: -2456*m**3 - 2*m - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*v = -132*v - 40. Suppose 0*p + 2*p = -4*l + 38, 3*p - 3 = 0. Let g = l + -6. Solve -v*k = -g - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 3*r - r)*((-2*r**2 - r**2 + 2*r**2)*((7 + 2 - 4)*(3 - 3*r - 3) + 2*r - r + 0*r) + (-r + r**2 + r)*(-3*r - 2*r + 3*r)).\nAnswer: 48*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**6\/720 - n**5\/180 - n**4\/144 - 22*n**2 - 2*n - 7. Let b(r) be the first derivative of y(r). Factor b(j).\nAnswer: -j*(j + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 44 = 22. Let h be r\/9 + 4\/(-6). Suppose k + 24 = h*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59572 and 9699.\nAnswer: 10901676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5450 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -45.1276496 and -1.2.\nAnswer: -46.3276496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.61670952 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/41 + -59\/246. Let i = -3467.7 + 3468. What is the closest to 0 in i, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1204 + k**2 + 592 + 612 + 0*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 10*f**2 - 26*f - 13. Let w be j(13). Suppose -17*y + w = -0*y. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72394139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-140)*((-336)\/36)\/7)\/(299\/(-273))?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 18.89. Let k = m + 0.11. Let v = 13 - 8. Which is smaller: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 33 + 4*x**2 - 3939*x**3 + 3974*x**3.\nAnswer: 35*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215361*b + 2*q + 40 = -215356*b, -5*q = 2*b - 16 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcz when three letters picked without replacement from ggzgglcza.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -7*x**2\/2 - 3091*x\/2 - 54951 = 0.\nAnswer: -2818\/7, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*s**3 + 44*s**3 + 6*s**4 + (2*s - s + 2*s)*(-21*s**2 - 7*s**3 + 21*s**2) + s**2 - s**2 + 2*s**4)*(6 - 2 - 2).\nAnswer: -26*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + 2*y)*(0 + 2*y**2 + 0) - 14*y + 14*y - 5*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6433, -12860, -19283, -25702, -32117, -38528, -44935?\n\"Answer: 2*i**2 - 6433*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7629 + 7761. What is the least common multiple of 411 and q?\nAnswer: 18084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 3 + (2 - 3 + 3)*(-2 + 2 - 2) + 0 - 2 + 0 - 16 + 6 - 5)*(2*v + 0*v - 3*v) in the form s*v + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/3 + -2. Let x = 0.33 + -0.42. Let o = x - 0.01. What is the second smallest value in o, c, -0.04?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*j + 15236*j**2 - 136*j + 9860*j**2 + 258*j to u*j**2 + s + l*j and give u.\nAnswer: 25096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*v - 4193 = -485 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4757312 + -0.0251\nAnswer: -4757312.0251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 1474?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-32)*w\/w**(-1)*(w*w\/(((w**(-1\/4)*w)\/w)\/w))\/w**(-9\/5) assuming w is positive.\nAnswer: w**(-499\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, l: 7}. Give prob of sequence ool.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16967, -33922, -50865, -67790, -84691?\n\"Answer: q**3 - 16962*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (232\/(-464))\/(1\/26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 54bca + d?\nAnswer: 54bd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105.76 - -110.76. Let w = 6\/13 - 29\/91. Which is the second biggest value? (a) w (b) r (c) -3 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 9*f - 15. Let g(l) = -7*l**2 - 63*l - 52. Let u be g(-8). Give r(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7630365*u + 24959639 wrt u.\nAnswer: -7630365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alx when three letters picked without replacement from aaoohklxklaokoxx?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 48 = 2*t, 3*t - 90 = -t + 5*l. Suppose -3 = t*f - 21*f. Put -4, -2, f in ascending order.\nAnswer: -4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 g when three letters picked without replacement from rqggrcg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-11))\/(-1 + (-63)\/(-77)). Let p be (1 - 0)*(-3 + 2). Which is the closest to p? (a) l (b) 1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599301 is divided by 4010?\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-3 - -7)) + 14. Suppose 3*j = -14 + 35. Factor -o*c**2 - j + 3*c + 7.\nAnswer: -3*c*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 61. Which is the second biggest value? (a) 2 (b) -12 (c) l (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 9 = 3*p - 2*r, -p - 4*r + 15 = 0. Let z(i) = -2*i - 1. Let g be z(p). Suppose g = -3*n + f, -2*n - 3*f = -16 + 2. Let u(h) = -3*h. Calculate u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12183 and 93.\nAnswer: 12183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -11*a. Let r(t) = -23*t + 1. Let v(w) = 7*o(w) - 3*r(w). Let u(x) = -3*x - 1. Suppose -80 + 64 = 4*y. What is y*v(z) + 11*u(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m**2 - 193*m + 165. Determine x(-33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -246*w**2 - 11*w + 32. Let d(h) = 82*h**2 + 4*h - 12. What is 8*d(o) + 3*t(o)?\nAnswer: -82*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4 - 7*q**3 - 69*q**2 - 117*q = 0. Calculate q.\nAnswer: -3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 x when three letters picked without replacement from {j: 2, x: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**4\/12 + j**3 - 3*j**2\/2 - j. Let g(u) = u. Let l(x) = -6*x. Let y(p) = 11*g(p) + 2*l(p). Let z be y(-3). What is k(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 11*j + 77. Calculate v(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98327 is divided by 8160.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-210)\/(-9))\/(8\/12). Suppose 520 = -t*g + 37*g. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 5*z + 37, 5*z - 2*m = 20 - 53 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2892, 5789, 8686, 11583?\nAnswer: 14480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/1*(-4 - 35\/(-5)). Suppose -128 = -i*h + 103. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3279888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-22)*(-1 - -2)*70\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {q: 3, h: 1, e: 1, j: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 + -7 + 74 + -37.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -79695489 divided by -1350771\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 161 + -157. Let y(r) be the first derivative of 3 + 4*r**a - 1\/4*r + 3\/2*r**2 - 4*r**3. Solve y(s) = 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 168921480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 12) + (2 - (2 + -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529076 is divided by 13219.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -15*r**3 - 10*r**2 - 6*r + 17. Let h be f(-8). Suppose -2*w = -u + h, w + u + 732 = -2828. Let s = w + 6568. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -28*t + 108. Let b be j(4). Suppose -s = 2*s. Sort 5, s, b in increasing order.\nAnswer: b, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*b**2 - 17*b**2 + 46*b**2 + (b + 3*b - 3*b)*(-2*b + b + 3*b) + (-6 + 6 - 3*b)*(6*b - 3*b + 0*b).\nAnswer: 39*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 163\/228 + -29\/76. Which is greater: 871\/4 or b?\nAnswer: 871\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -12. Calculate the lowest common multiple of 10 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6226422239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 9*q + 22. Let i be k(6). Suppose -4*x + 98 = w, w = 5*x + i*w - 119. Solve 0*b + 4*b = -y - 20, 0 = -5*b - y - x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 237 - 234. Suppose 1 = -f, 4*v = p*f + f + 400. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -22*o + 23*o - 1, 2*o - 26 = -4*j. Let h(t) = 2*t**2 - 20*t + 42. What is the lowest common multiple of h(o) and 2*7 - (-4)\/(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -5 - 0)\/(-1). Which is the third biggest value? (a) 4 (b) r (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*f + 15, -4*i - 4*f + 26 = -2*i. Let b = 15 - i. Suppose -b*n = 5*g - 65 - 70, 4*n - 142 = 2*g. What is the remainder when n is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rscfs. Give prob of picking 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -26*f + 276. Let a(s) = 3*s - 21. Let d be a(f). Solve 5*b = d*b - 50 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -67, 5, 2, 1\/6, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 39 - 21 + b - 11. Suppose -d - 3*d = -20. Let n(y) = -y - 6. Give d*n(s) + 4*w(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.069 - -52.069. Let y = 51.99972 - i. Round y to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 891.1067ml to litres.\nAnswer: 0.8911067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 - 115 = -5*w. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(((m**1\/m)\/m)\/m)*m)*m**(-2))**(-23)\/((m*m**(-1\/5))\/(m*(m*m*m**(2\/7)\/m*m)\/m)*(m\/m**(-3\/7))\/(m*m*m**(1\/8)*m)) assuming m is positive.\nAnswer: m**(33091\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 3*a - 15. Give w(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4804 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.034? (a) -3 (b) 0 (c) -0.05 (d) 3 (e) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8))\/(83\/(-1494)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2500 + 10057\/4. Let n = 103\/377 + 12989\/754. Find the common denominator of n and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522.376ng to kilograms.\nAnswer: 0.000000000522376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33307232 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 + 18*j**2 - 4*j - 5. What are the prime factors of l(5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 14458 - 32198 = -3*l. Is l a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-1 - -1) - -4. List the prime factors of z*1\/(-4)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -4*n + 24. Let a(i) = -2*i + 3*i**2 + 9 - 4*i**2 - 9*i - 8*i**2 + 3*i - i**3. Give a(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 447 + -445. Suppose q + w - 14 = -m*q, 0 = -3*q + 3*w + 18. Solve 5*f + 3 = 2*d - 3*d, 0 = -q*d - 5*f - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22\/9, -20, -3 in decreasing order.\nAnswer: 22\/9, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4413*r + 35292. Give h(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-1\/4)*s))**(-15)*s**(2\/9)\/s**(-8) assuming s is positive.\nAnswer: s**(161\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3722512064 to the power of 1\/3, to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) -0.4 (c) 26 (d) 761175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1715*k**5 + 52*k - 12 wrt k.\nAnswer: 34300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 10*c - 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 e when three letters picked without replacement from vmvvmmeev?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 6*n**2 + 4. Let z be m(-6). Let q be 2\/(z\/6) + 2. Suppose 0 = 4*l + q*x - 22, -2*x + 0 + 1 = -l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102040, -99956, -97870, -95782, -93692?\nAnswer: -91600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -52*j**3 - 3*j**2 + 12*j + 24. Let v = -296 - -291. Is p(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(325) + 0 + 4)*4*-1*-2*6)*6)**2.\nAnswer: 3404160*sqrt(13) + 28353924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4148 - -4065. Put -4, f, -2 in decreasing order.\nAnswer: -2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*d**3 + 2*d**4 + 4*d**2 - 4*d**2 - 7 + 9 to the form k*d**3 + n*d**2 + a*d**4 + l*d + y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 3)*(-2 + 1 - 5)*(-3*w**3 + 28*w**3 + 22*w**3) in the form c*w + t*w**2 + n*w**3 + l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*l = 73*l, -5*q + 2*l = -15. Solve -5*f + i + 6 = -2*i, q*f - 4*i = -3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 3\/8, 0.05, -272, -1\/142, -30?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 17*q**2 + 1772*q + 14213. What is o(-8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001111011101 (base 2) to base 13.\nAnswer: 7ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x**(-1)*x)\/x)**2)**(-42))**(-21) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-40)\/6)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(-4\/5)*x*x)\/x)\/(x*x**(2\/11)))\/((x*x\/(x*x\/(x*(x\/(x*x**10))\/x))*x)\/(((x\/x**(-6))\/x)\/x)) assuming x is positive.\nAnswer: x**(826\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11193.86 - 11190. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -596395 + 596394.9509941. Let m = 0.049 + l. What is m rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 4)*((-3*z + 5*z - 3*z)*(-z + 3*z + z) + 10 + 10*z**2 - 10) as y*z + c*z**2 + j and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -475 divided by 1?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:42 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 - 33*m - 28. Let i(f) = -2*f**2 + 16*f + 14. Let u(c) = -3*d(c) - 7*i(c). Suppose -17*h = 7 + 61. Does 15 divide u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 1 + (0 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143221121203 + 0?\nAnswer: 143221121203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*a - 41 = 0, 47 = 4*m - 2*a - 47. Suppose 5*y + 94 = 4*c, 0 = -c + 3*y - 2*y + m. Calculate the remainder when c is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4*j - 8, -n + 10 = 4*n - j. Let d(w) = -w**3 - 5*w**2 - 4*w. Let t be d(-4). Which is the closest to t? (a) n (b) 0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1110, 3\/5, -3, 5 in increasing order.\nAnswer: -1110, -3, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + 54. Suppose 3*h - 1 = d. Let m = -16 + h. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-17)*w**21*w*(w\/w**(-11))\/(w*(w\/(((w\/(w\/(w*w**(1\/32)*w)))\/w)\/w)*w*w)\/w*w*w) assuming w is positive.\nAnswer: w**(385\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784236?\nAnswer: 2, 3, 65353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6723*h**3*j**3*k + 110*h**3 - 30*h**2*j**3*k + 94*j**2*k - 5*j**2 wrt j.\nAnswer: -40338*h**3*k - 180*h**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.025 - -0.025. Let r = -25.00126 - i. What is r rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1\/5, 0.7, 0.3, -17?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*d + 84 = 0, 260 = 2*c + c - d. Let h(q) = q**2 + 6*q + 3. Let u be h(-11). Calculate the greatest common divisor of c and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(-1*sqrt(24)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 617610?\nAnswer: 1235220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than -9304?\nAnswer: -9314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -7 - ((3 - -1) + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.23? (a) -0.03 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532431?\nAnswer: 3, 59159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 8*d + 5*n + 81 + 11, 0 = 4*d - 2*n + 50 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 299209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 14 = 5*r, q - 5*r = -4*r. Suppose 0 = q*t - 1 - 21. Let f(i) = -i - 8. Let x be f(-11). Solve -d + j - 3 = 2*j, -2*d - x*j = t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3*h = h. Put h, -5, 5, 130 in ascending order.\nAnswer: -5, h, 5, 130","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2345 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1699 - 804. Let j = k + -899.11. What is j rounded to one dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-2\/11)\/(m**6\/m*m\/(m*m**1)*m))\/((m**(-2\/7))**(-28))**(-27) assuming m is positive.\nAnswer: m**(2319\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-21) - (1 + (-243)\/(-21)). Let h = d + 15. Solve h*l - 2*s - 3 = -6, -2*l - 2*s - 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3012*m - 14499. Give j(-4).\nAnswer: -2451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*l = -3*a - 12, 0 = 2*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 9*l**4\/4 + 13*l + 13. Find the first derivative of o(h) wrt h.\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 12*d - 232. Let s(r) = -17*r + 325. Let g(n) = 7*l(n) + 5*s(n). Let y(k) = k - 3. Let v be y(2). Let q(a) = 7*a + 1. Calculate v*q(m) + 3*g(m).\nAnswer: -10*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -12011?\nAnswer: 12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1615 is divided by 736.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 30. Suppose d - 2*d = j. Solve d = -u - 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47 and -868.726?\nAnswer: 40830.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 23 + 5. Let i(d) = -d**3 + 2*d**2 + 8*d - 2. Let a(r) = -r**3 + r**2 + 8*r - 1. Let s(b) = -7*a(b) + 6*i(b). Is 6 a factor of s(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*v + 12168 + 14848, 0 = 2*v - 5*l - 13560. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*(2 - 20\/12). What is the least common multiple of -2*(-1)\/2*6 and 18 - (14 - -2)\/q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, -4, 4, -1, 5, 8\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 - 4. Let o = -0.1 - m. Which is the nearest to -0.1? (a) -0.04 (b) 1\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 597, 5174, 17713, 42198, 82613, 142942, 227169?\n\"Answer: 664*u**3 - 3*u**2 - 62*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100120022 + -12?\nAnswer: 100120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 2. Let q be w(3). Solve 4*y = -0*y - q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kppkpp. What is prob of picking 3 p and 1 k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-156)\/20*(-2)\/(-6). Let p = k + 34\/15. What is the nearest to p in -0.4, -1\/5, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 38. What is the least common multiple of 44 and 1 - 35\/z - 556\/(-6)?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233900?\nAnswer: 2, 5, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 8677.16055\nAnswer: 8677.56055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 + -0.1. Suppose 24*c - 23*c = -1. What is the closest to c in 2, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 1:13 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + c**3 - 1 + (-4*c**2 + 3*c**2 + 0*c**2)*(-21*c - 12*c + 17*c - 56 + 36*c + 56 + (1 - 2*c - 1)*(-1 + 3 - 1)).\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101211101210 (base 3) to base 12.\nAnswer: -a3433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -50733*0.4\nAnswer: -20293.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 86300168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 7*c**2 + c - 2. Let r be s(7). Put 1.1, r, 4, -0.5 in ascending order.\nAnswer: -0.5, 1.1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/9*(-3)\/(-2). Let p(r) = r + u + r**2 + 2*r + 4 - 2*r. Suppose 0 = -97*i + 92*i. What is p(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -17*g**3 - g**2 + g - 1. Let t = -13 + 15. Suppose -v - 4*c = -13, -4*v - 3*c - t = -5*c. What is x(v)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 3*w + w + (6*w - 4*w + 0*w)*(-1 + 4 - 1))*(-2 - 1 + 10).\nAnswer: 35*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 264 + -267. Put 0.2, -1\/13, u, 3 in decreasing order.\nAnswer: 3, 0.2, -1\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 4) to base 3\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -578 (base 9) to base 8\nAnswer: -734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x. Let r(n) = -113*n + 2. Give r(g(c)).\nAnswer: 339*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*x = 28, -3*i = i + 5*x + 8. What is the remainder when 35 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -26*h - 1. Let v(u) = -9*u. Let f(d) = 4*s(d) - 11*v(d). What is the units digit of f(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6)*(-33)\/(-2). Let h = u + -25. What is the units digit of h\/7*(-3)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 2*l + 1. Let t be s(-1). Is 37 a factor of 1\/((8\/(-444))\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 5:17 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 20 (b) -16\/5 (c) -0.7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52398962 + 0?\nAnswer: 52398962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33105909 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111222021 - 11002210?\nAnswer: -2200002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69*l**2 - 17*l - 2608 wrt l?\nAnswer: -138*l - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4066976 and 7300.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -4*l - 5*p, -2*l - 2*p + 124 = -5*l. What is l rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3780952717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/34809013 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*v + 24. Let q(g) be the second derivative of -g**5\/20 - 5*g**4\/12 - g**3\/2 + 3*g**2\/2 - g. Calculate q(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589917 is divided by 2193?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3012003 (base 4) to base 16.\nAnswer: -3183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbum when four letters picked without replacement from {b: 10, m: 2, u: 6}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.101 * 45\nAnswer: 4.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.43 - -1.63. Let b = -596\/1465 - -2\/293. What is the closest to c in -3\/2, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 3*q - 2 = 0, -78*q - 6 = -75*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 0. Let z = -12 - j. Let l = z - -3. Which is the third smallest value? (a) l (b) 4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (100\/(-125) - (-13)\/(-2))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z. Let g = 86 + -84. Let q(n) = -18*n**g - 166491 + 166491. Determine j(q(u)).\nAnswer: -144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -72*x + 23*x + 16*x + 26*x. Let m be c(0). Solve -4*u - 4 - 8 = m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 + 18 + 148*g**3 + 516*g**3 - 18 in the form y + s*g + b*g**3 + h*g**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 7722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - -127. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 7. Sort i, 2, -4\/5 in descending order.\nAnswer: i, 2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5692 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: Calculate -1 + 18 - (41 - 20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 1\/2*i**3 - 15*i**2 + 0 + 0*i - 1\/8*i**4. What is the tens digit of f(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0 + 0*n**7 + 0*n + 7\/60*n**5 - 3*n**2 + 0*n**4 + 0*n**3 + 5\/336*n**8 + 0*n**6. What is the third derivative of f(j) wrt j?\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/447, 1\/3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6 + 4 + 6 + u. Suppose -9 = o - 4*s - 0*s, 5*s - 15 = 0. What is the remainder when g(3) is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -54*(4\/18 - 19\/(-9)). Let x be 10\/(-65) - f\/(-26). What is the closest to -1\/6 in x, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11835992.\nAnswer: 2, 7, 241, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 - b**2 - 3*b**2)*(1 - 1 - 2*b) - 898 + 52*b**3 + 447 + 455.\nAnswer: 50*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 (base 8) in base 14?\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 1. Let v be f(-1). Let s(d) = d**2 + 18. Is s(v) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3645 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/63 and -13\/672.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 16*o**2 + 10*o - 6. Let l(d) = 3*d - 5 + 2 + 5*d**2 + 1. Let z(s) = -3*a(s) + 10*l(s). Solve z(j) = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 18*f**2 + 170*f + 1410. What is d(-8)?\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6845.03 meters to centimeters.\nAnswer: 684503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 408 = -3*d + 86, 0 = 5*d + 4*x + 534. Let i = d - -190. Calculate the smallest common multiple of i and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 - (19 - ((7 - 4 - 1) + 9))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 130726*o**4 - 3*o + 2376026 wrt o.\nAnswer: 522904*o**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 11:10 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -3\/2, -21, 4, -0.062, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*u - 16, 4*u = -5*o - 0*u + 74. What is the lowest common multiple of o and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/51 in 1, -4\/17, -1\/4?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrryryry. What is prob of picking 2 r and 1 y?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -17. Suppose -v*m + 60 = -5*m. Let x be (-1)\/(-2)*8\/m. Which is the third smallest value? (a) x (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4419 = 6*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 67.00038. What is c rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by 156.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 13 = 33. Suppose 4*f - g = 13. Calculate the lowest common multiple of f and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpmkc. Give prob of sequence pf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -2.3. Let t = s - -3. Let u(g) = g + 1. Let n be u(-5). Which is the third biggest value? (a) t (b) -1\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4 - -2. Let v = 3.5 + -0.5. Let h be (-2)\/(-3) + -1 + 0. Which is the closest to h? (a) s (b) -3\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 512442 and 5362?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13 + 16 + (-2)\/(-1). Let g = 189.8 - 190. Which is the closest to -0.7? (a) 0 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3180 = -8*s + 3052 - 6008 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6016330 to the power of 1\/2, to the nearest integer?\nAnswer: 2453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 3)*((-3)\/(-2))\/3. Is 58 a factor of 7\/49 - ((-2029)\/7)\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2627 + 7332. Find the first derivative of 17 - 4704*p - 3*p**2 + k*p - 1 wrt p.\nAnswer: -6*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*h - 68 = 0, -4*m + 5*h + 68 = -32. Suppose 5*p + 11 = -4. Let w be p*(-3)\/(-9)*-50. What is the greatest common divisor of m and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111729, -111650, -111515, -111324?\nAnswer: -111077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -75. Suppose 2*o - 20 = -2*o. Suppose -x = -o*l + 38. Calculate the remainder when 26 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -88347*i - 353412. What is t(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 37. Suppose 0 = v + 3*n + 28 + 14, 2*v + 51 = 5*n. Let l be f(v). Solve -x + l*t = 5*t, 12 = -2*x + 4*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 3. Let c be b(-2). Factor -j**2 + 5*j - 15 - c + 3*j.\nAnswer: -(j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 240*g - 15230. Calculate y(-52).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 8*c**2 - 26*c + 155. Let v be z(9). Put v, 6, -1, 1 in ascending order.\nAnswer: -1, 1, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295476.\nAnswer: 2, 3, 24623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1784.06km?\nAnswer: 178406000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*f + 1726. Suppose -3*h + 0*h - 2*y + f = 0, -y + 589 = 2*h. Suppose 4*u = -0*u + h. Calculate the remainder when u is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*280\/21*-12. Suppose -5*b + 2*b = -1557. Let s = b - a. Round s to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 500727.79936 + 7.20064. Let b = -500728.199898 + r. Let x = b + -6.8. What is x rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/(-2) - 5404\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6218501 >= 6218491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4)*(-4 - 2). Suppose -42 = -3*f - v. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m + 987 = -119*m. Let z(f) = f - 6. Determine z(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 131 + 5127?\nAnswer: 5258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3\/7 - 1838*b**2\/7 - 88874*b\/7 + 90710\/7 = 0.\nAnswer: -47, 1, 965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 17*n**2 + 3*n - 7. Suppose -12*k + 7*k - 25 = 0. Let r be q(k). Suppose 9*v = -r + 97. Is -34 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 664761, 664763, 664765, 664767, 664769, 664771?\n\"Answer: 2*b + 664759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, n: 7, b: 3}. Give prob of sequence bkb.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -7)*(-1 + 2). Suppose -v*j = -y + 48, -3*y - 2*y = -3*j - 152. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 2. Suppose 9 + b = -s. Let y be (-4)\/s - (-27)\/(-21). Which is greater: y or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -231 and 844.6.\nAnswer: 613.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/(-55) + 9\/((-495)\/(-10)). What is the nearest to h in -0.5, -0.1, 0.4, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83295 (base 11) to base 12\nAnswer: -5a363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -96*n**2 + 14731*n + 3. Let f(y) = -34*y**2 + 4913*y + 1. What is -17*f(m) + 6*o(m)?\nAnswer: 2*m**2 + 4865*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 4, 3, -5 in descending order.\nAnswer: 4, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*l - 5 = 196*l, -25 = -2*k + 5*l. Suppose 24\/7*o**2 + 0 - 50\/7*o**5 + 8\/7*o**3 + k*o - 150\/7*o**4 = 0. Calculate o.\nAnswer: -3, -2\/5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.568 - -91.358. Let m = -87 + f. Round m to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**5\/60 - 5*u**4\/12 + 26*u**3\/3 + 7*u**2 + u + 22. Determine c(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1, -34, 44, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-70640)\/(-12) - 4\/6?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1415\/165 - (-62)\/682) + -2 + 1.\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/4)\/1)\/((-10)\/(-10)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(2\/69)\/(z**(-2\/3))**(-3\/41) assuming z is positive.\nAnswer: z**(-220\/2829)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m + 22 = c, 25 = 3*m + 5*c. Let d be (-6)\/m*40\/(-12). Find the third derivative of -2*i**2 + i**2 + i**d - 3*i**4 wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.590822nm to millimeters.\nAnswer: 0.000004590822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5\/6, 121\/2, 20, 28?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 2*r**3 + 6*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 11400300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 327\/(-218)*16\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.8 - -17. Let t = k + 1.80017. Round t to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*c = -19, 15047 = -5*g - 2*c + 15027 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4843122 rounded to three dps?\nAnswer: -1.484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z + 1. Let d(p) = 6*p + 15. What is d(t) - 2*q(t)?\nAnswer: -10*t + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 - -5624?\nAnswer: 6020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 + -3. Let v = 253 - 248. Let q = -4.11 - -0.11. What is the third smallest value in v, q, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - c**2 + 1. Let b(x) = 19*x**3 - 7*x**2 + 6. Let z(v) = b(v) - 6*w(v). Suppose 0 = -j + 2*j - 1. Determine z(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 10:44 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/q**(-2\/3))\/(q**1*q*q)**(-4\/23) assuming q is positive.\nAnswer: q**(-194\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*f = 450*f + 72 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62 + 2400526?\nAnswer: 2400434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 4*h + 5*h. What is the least common multiple of h and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1359125808 divided by -6.\nAnswer: -226520968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h**3 + 0*h**3 - 14*h**3 + 5*h**3.\nAnswer: -30*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12*r - 10*r - r**2 - 7*r - 6 + 13*r - 10. Determine f(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 q when three letters picked without replacement from wwqfqwffffqwfqqwqfq?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*d - 10, -43*w + 4*d = -41*w - 12. Let b(c) = c**3 - 4*c**2 + 6*c + 1. Calculate b(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8107, 8124, 8141, 8158?\nAnswer: 8175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 2*t**2 - t - 3. Let u be o(10). Let i = -3 - -29. What is the highest common factor of u and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/18 and 99\/6568?\nAnswer: 59112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, z: 3}. What is prob of picking 3 p?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-153))\/1)\/((-392)\/(-294)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ops when three letters picked without replacement from {o: 4, e: 1, s: 1, d: 1, p: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (87 - 24) + 4*-1. What is q rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 5) + 9 - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-3)*177\/59.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 22*f**2 + f - 16. Determine h(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**3 + 1444*t**2 - 26964*t + 122796 = 0.\nAnswer: -379, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-30)\/(-15)*6\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21788 and 116365?\nAnswer: 94577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 6*z + 6. Let r be (-12)\/66 - 237\/(-33). Let q be o(r). Let p = -36 + q. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 109806 and 11.\nAnswer: 1207866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -1259528.\nAnswer: -1259528.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*n + 3121 = 104*n + 805. What is the lowest common multiple of n and 752?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12, 16, 24, 36, 52, 72?\n\"Answer: 2*a**2 - 2*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 8, y: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2588995379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1010 and -71\/90.\nAnswer: 9090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5069 is divided by 1686.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*((-555)\/9 + 1). Let t be 76\/z - (-8)\/(-52). Let i be (6\/(-4))\/(36\/4). Put t, i, 5\/6 in decreasing order.\nAnswer: 5\/6, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 + 0.1\nAnswer: -86.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*f - 9. Let l be (1*-1)\/f + (-3366)\/(-36). Suppose 4*t - 142 = -3*z + l, -3*z + 4*t + 196 = 0. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153940 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.41 - -6.91. Sort -2\/13, r, 107.\nAnswer: -2\/13, r, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 3*(-1 + (-408)\/9). Suppose -g*j + 135*j + 3 = 0. Let t(q) = 88*q**3 + 2*q - 1. List the prime factors of t(j).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-1 - 4) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63232891 is divided by 292.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*w. Let l = 1037 + -1032. Solve -2*t + t - q - 4 = w, 0 = l*t + 4*q + 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41561666 - 28563666. Round a to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*a = 661*a - 350*a + 200 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61\/(4270\/(-20)))\/(8\/14)*16\/(-544).\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**5\/20 + 4*i**2. Let o(c) = 35*c**2 - 69*c**2 + 35*c**2. Give z(o(j)).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**4\/4 + 5*r**3\/6 + 3*r**2\/2 + 129*r + 2. Let p(g) = -g**2 - 3*g - 2. Give -6*o(z) - 10*p(z).\nAnswer: -8*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**5\/5 + 74*d**4\/5 - 82*d**3\/5 - 218*d**2\/5 + 376*d\/5 - 152\/5 = 0.\nAnswer: -38, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4263 divided by -230529.\nAnswer: -1421\/76843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*y + j, 4*y - j = 12. Let m(v) = -2*v + 20. Calculate the remainder when m(y) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*x**2 + 189*d - 10*x**2 with respect to x.\nAnswer: 2*d*x - 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p - 83. Let v(k) = -7*k - 90. Determine 5*v(h) - 4*w(h).\nAnswer: -3*h - 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/2661413 or -1?\nAnswer: -9\/2661413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18529, -18309, -18089, -17869, -17649, -17429?\n\"Answer: 220*u - 18749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65866 or 67419?\nAnswer: 65866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/10)\/((-2)\/(-10)))\/(22880\/(-31460)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15720, -15715, -15706, -15693, -15676?\n\"Answer: 2*h**2 - h - 15721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elxc when four letters picked without replacement from {y: 1, x: 3, e: 1, c: 1, l: 1}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -64?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-1968.68.\nAnswer: -984.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 145 = b - 16*s, 3*b + 495 = 2*s + 480 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 132\/385 - (-1)\/(-5). Put 0.3, 0.5, r in increasing order.\nAnswer: r, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2746.5675 months in years?\nAnswer: 228.880625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**3 - 2*a**2 + 2*a - 23. Give w(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**3 - 9*v + 9*v)*(-2 + 2 - 3*v).\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p. Let o(i) be the first derivative of i**4\/24 + 10*i**3\/3 - 25*i**2\/2 - i - 1. Let n(g) be the second derivative of o(g). What is u(n(h))?\nAnswer: 2*h + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 76 = -2*m, -9*t + 155 = -0*m + m. Calculate the greatest common divisor of 4149 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183146796 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129296.\nAnswer: 2, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (-34)\/(-36))*(1 + 0). Which is the nearest to 3? (a) n (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j**2 - 8 - 13 - 2*j - j**3 + 17 - 7*j. Let f be v(-7). Let i = 39 + f. Solve i = 2*r - 4 + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 7*a - 6. Let p be c(6). Let k(l) = -l + 0*l - 5 + 3 + p*l. Give k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 17. Suppose 0 = 2*f + 10, c*f = 2*a - 5*a - 5. Solve -k = -a*r - 19, 3*k - 1 + 4 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5322, 5331, 5352, 5391, 5454?\n\"Answer: j**3 + 2*j + 5319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15228 and 5622516?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 1:30 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-6) + 7 + (-18 - 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 119 and 1925\/16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-1\/5))**(-41) assuming q is positive.\nAnswer: q**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/9 and -22\/3857.\nAnswer: 34713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -10. Let k = 3 + t. Solve k = m + 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - b - 77. What is the derivative of 10 - 199*j**4 - 9*j**3 + 20*j**3 + 278 - b*j**3 wrt j?\nAnswer: -796*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4859283 (base 10) to base 5\nAnswer: 2220444113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 2*s - 126. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-20) - (-6 + 6)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*q - 248, 5*d + q = 4*d + 63. What is the fourth biggest value in d, 0.3, 2\/13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794158 is divided by 85.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11672817 divided by 3890939?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 606 and 240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 64274859?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 88, 71, 30, -47, -172, -357, -614, -955?\n\"Answer: -2*y**3 - 3*y + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 18 - 135*s + 195*s - 115*s. Calculate the lowest common multiple of l(-4) and 10.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1406 - -4219\/3. Let t(z) be the first derivative of -7 + 0*z**2 + 0*z**5 - a*z**3 + 0*z + 0*z**4 - 2*z**6. What is the third derivative of t(s) wrt s?\nAnswer: -720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358783071 times 0.02?\nAnswer: 7175661.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 97649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11338172 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -b + 25, 6 = 5*b + 2*x - 38. Solve 0 = -0*z - 2*z + b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 444 and 17.103.\nAnswer: 7593.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -233.4287 and -0.2.\nAnswer: -233.6287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 563*j**2 + 497*j + 218634. Calculate g(-281).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -194.7 + 195. Put 0.04, -1.8, s in descending order.\nAnswer: s, 0.04, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28027*f**3 - 2*f**2 - 81181*f.\nAnswer: 168162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1 + (1 - 5 + 2)*(-1 + 0 - 1) + 0 - 2 + 4)*(-3*o + 7*o - 2*o) - 48*o + 391 + 11*o + 39*o.\nAnswer: 18*o + 391","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6875*-4.\nAnswer: -27500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015642704 to five decimal places.\nAnswer: -0.01564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002891443 rounded to five dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29700109?\nAnswer: 181, 164089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0, -0.2, -24 in decreasing order.\nAnswer: 0, -0.2, -0.5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 206561 (base 7) to base 5\nAnswer: 2122320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2437683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 7217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhyyyhyznhyhzyyyyn. Give prob of picking 1 n, 1 h, and 1 z.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1404 + 1476. Does 32 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 46.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = q + 12, 6*q - 2*q - 22 = 2*h. Suppose -288 = 2*t - q*t. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010667 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 340 - 340. Suppose -2*b + 1670 = -2*f + f, w = -3*b + 3*f + 2502. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*k + (129 - 129 + 32*k + (-2 - 1 + 1)*(-k - k + 4*k))*(-2 + 3 - 4).\nAnswer: -86*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w - 40, -5*w - 98 = 4*u - 119 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 7*o - 61 = -2*l, -o - 137 = -4*l. What is the greatest common divisor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t. Let x(s) be the third derivative of s**4\/12 - 18*s**2. Calculate i(x(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16709 and 0.2.\nAnswer: -3341.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1367*y - 18016 = -35004 - 47261 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**4 - 2*g**4 - 16*g + g**2 + 623 - 621 as y*g**4 + a*g + n*g**3 + l*g**2 + k and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 3343881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.73, -2.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 - 142. Solve -2*f - v = -16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*y - 13 = 0, -y - 621 + 625 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -3*v. Suppose 0*k + 10 = 4*k + 3*g, v = -5*k + 4*g + 28. Let -3\/2*z**k + 3\/2*z**5 + 0 + 0*z + 0*z**3 + 0*z**2 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 9*w**2 - 9*w - 4. Determine a(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 - 2*a - 2. Let j(v) = 42*v - 16*v - v**3 + 0*v**2 - 23*v + 3*v**2 + 3. Give 3*d(i) + 2*j(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 3:46 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3327 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -8 (c) -100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**3 + 53*m**2 + 50*m - 104 = 0.\nAnswer: -52, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*z - 8, k - 7 = -3*z - 1. Calculate the remainder when -7*(0\/(-3) - 1) is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 + 3.28. Let d = k - 0.2. Let f = 0 - 0.1. Which is the third biggest value? (a) -0.5 (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -669*x**5 + 2*x**2 - 57*x - 3.\nAnswer: -40140*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-38 - -9) + 29\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102825 and 4050?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13149 is divided by 1614.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -3. Let d = 6 - n. Let y = 0.1 - 0.1. Which is the nearest to y? (a) -3 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 7. Let w be y(-5). Let m be w\/99 - (-7891)\/(-2688). Let j = -1\/1152 + m. Is j <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from lcllllllclllllllllll.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2379 - 834 = 5*d. Let y = 320 - d. Solve -5*h + y*h = -30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -v + 6*h - 2, 2*v + 2*h = 8. Solve 4*q = v*p + 14, -3*p + q - 10 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*q - 21 = 0, 4*a + 11 = a - q. Sort a, 3, -107 in descending order.\nAnswer: 3, a, -107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*y + y - 156, -2*p + 2*y - 82 = 0. Suppose 0 = -10*b + 5*b - 200. Let g = b - p. Solve 4*d - 2*i - 7 = -5*i, -3*i - 9 = g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 17112217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4642206215 + -4642206145.00000098. Let a = 70 - u. What is a rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2600 - 49398\/19. Let a(c) = c**3 - 12*c**2 + 3. Let s be a(12). Factor u*f**2 + 0 + 2\/19*f - 2\/19*f**s - 2\/19*f**4.\nAnswer: -2*f*(f - 1)*(f + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.43 + -24.57. Let f = x + 18. Which is the third smallest value? (a) 1 (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/1*(-19)\/((-2223)\/(-26)). Solve -4*y = 8, -g*r - 4*y - 14 = -5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 11. Let b be n(8). Suppose 5*s - b*r + 2*r = 27, 2*s - 9 = r. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 13. Let u be d(-10). Suppose u = y + 4, -9 = o + 4*y. Sort o, 4, 3 in descending order.\nAnswer: 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16, 4, -5, 1031 in ascending order.\nAnswer: -16, -5, -4, 4, 1031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 13 = 23. What is the lowest common multiple of 3 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5158*x + 51556. What is p(10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 323820547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 - 227 = 5*l. Let m = l + 185. List the prime factors of m.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -269*h - 20. Let x = -287 + 268. Is y(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -0.146.\nAnswer: 4.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.714454 litres to millilitres.\nAnswer: 714.454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7045 is divided by 187?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669 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: -1242310 (base 5) to base 12\nAnswer: -12369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1284369?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 40 times -0.2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-50)\/45 + 45\/(-81). What is the second smallest value in -15, 0, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6669937 to the nearest integer?\nAnswer: 2583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2299783, 2299779, 2299775?\n\"Answer: -4*b + 2299787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38090481*c**5 + 281*c**2 - 136732*c wrt c.\nAnswer: -2285428860*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134092 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbbr when four letters picked without replacement from rrbyby?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 - 3*a**2 + 7*a + 2*a**2 to y + b*a**2 + c*a and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 5*r + 27. Calculate y(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 y when three letters picked without replacement from {y: 2, g: 2, d: 5, l: 1, v: 4}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + 0*j + 0*j - 2*j + 0*j - j + (-5 + 5 - 1)*(j - 2*j + 0*j) + 0*j - 3*j + 4*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*m**3*z**4 - 16*m**3 + 21667*m**2*z**2 - 5298*m*z**6 wrt z?\nAnswer: 864*m**3*z - 635760*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 greater than or equal to 413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6909605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002567192 to 6 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 46*h**2 - 36*h - 24. Give b(-3).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686*s - 3720 = 58*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emmyymyemmwm. Give prob of sequence mmy.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 3*j + 13. Let z be u(-3). Put -2\/11, z, -8\/9, 2\/3 in decreasing order.\nAnswer: 2\/3, -2\/11, -8\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 17*g**4\/48 - 11*g**3\/8 - g**2\/4 - 697*g. Factor x(j).\nAnswer: (j - 2)*(17*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*r**3 - 17*r**2 + 203*r - 97.\nAnswer: -144*r - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/564 and -103\/20.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + t. Let x be -2*(7\/2 + -3). Let h(z) = 2*z**3 - 4*z**2 + z. Let p(r) = x*f(r) + h(r). What is the third derivative of p(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 330816*j**3 + 21*j**2 - 3174*j + 1 wrt j.\nAnswer: 1984896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 2002*i + 29811. Calculate a(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/766 and 85\/4854?\nAnswer: 1859082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -16 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/(-9) + -3)\/((-77)\/42). Which is the biggest value? (a) 0.3 (b) 1\/6 (c) v (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 1\/13, -3\/2, -3, 5?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.009 and 303.\nAnswer: -2.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + g**2 - 3*g + 6 + 7*g. Let w be p(-5). Let o be (1\/(1 + -2))\/(-1). Is o <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oovlejw. What is prob of picking 1 o and 1 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/2*(-16)\/(-3). Suppose -2*s + 22 = 5*b, -5*s + 24 = -3*b - 0*b. Calculate the greatest common divisor of s and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1053000 to the nearest ten thousand.\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12609257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpx when three letters picked without replacement from {m: 1, p: 2, t: 1, x: 1, l: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 11*i**6\/10 - 11*i**4\/12 - 19*i - 19. Let y(p) be the first derivative of d(p). What is the third derivative of y(q) wrt q?\nAnswer: 792*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**5\/7 - 12*o**4 - 352*o**3\/7 - 528*o**2\/7 - 256*o\/7 = 0. What is o?\nAnswer: -16, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*(sqrt(2496) + 1*sqrt(2496)))\/((sqrt(48)\/sqrt(2)*-2 + sqrt(24))\/(4*(sqrt(8) - (sqrt(72) - sqrt(8))))).\nAnswer: -2304*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1329\/117 + 176\/572)*-3.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*f**3*h**4 + f**3*h**2 - 58268*f**3 - 40*f*h - 373578*h**4 wrt h?\nAnswer: -456*f**3*h - 8965872*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2637599*x + 2637603*x + n - 5 = 0, 4*n - 12 = -12*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = w - 81 + 67, -w = 4*r - 18. Solve 0 = -p + 1, d + 7 = r*p + 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a + 1. Let w(h) = -16*h - 3. Let l(i) = -7*m(i) - 2*w(i). Let v be l(-1). What is the derivative of 2 - 1 + v + 0 - 2*j wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22826174.\nAnswer: 2, 7, 1630441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 139 + 91 = 0. Which is the smallest value? (a) -1\/2 (b) 0.2 (c) -4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*t + 52*t + 52*t = 2540 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -88a (base 12) in base 16?\nAnswer: -4ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y - 13. Let v be a(6). Solve 4*f + v + 3 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190256?\nAnswer: 2, 11, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 4*l**3 - 20 - 86*l + 9 - 105*l)*(18*l - 27*l + 13*l).\nAnswer: 16*l**4 - 764*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from dddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5745 = -52764*r + 53147*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46 + -4918.\nAnswer: -4964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 260710.2m in millimeters?\nAnswer: 260710200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-85)\/20) + 88998\/104. What is the highest common divisor of 1070 and w?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9727*p**3 - p**2 - p - 3 + 2 + 9710*p**3. Let n = -4 - -3. What is u(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36516377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**2 + 6*i + 81. Let z(h) = -4*h**2 + 4*h + 54. What is -5*f(y) + 7*z(y)?\nAnswer: 2*y**2 - 2*y - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59055.01 hours to microseconds.\nAnswer: 212598036000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11205.963 + -11193. Let m = -12.9 + t. Round m to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 789255 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ififiiififi. Give prob of sequence fi.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37\/2 + -75\/4. Let y = -1 - -0.6. Which is the smallest value? (a) y (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o*o**(-1)*o)*o*o)**0*(((o\/o**1)\/o*o)\/o)\/((o\/(o*o**(-1\/8)))\/o)*(o*o**(-6)*o**(-1\/3))\/(o**(-2\/5)\/(((o*o**(2\/7))\/o)\/o)) assuming o is positive.\nAnswer: o**(-4849\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 15*i = 3*z - 135228, -i - 225346 = -5*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29866.1 to the nearest one hundred.\nAnswer: 29900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 291268076?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-190)\/170 - (0 + -1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*j + 162*j + 300*j = -15252 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4, 144 = 5*j - 0*j + o. Calculate the greatest common factor of 224 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 50 = 2*d, -4*z + 70 = -11380*d + 11378*d for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 3635*k**2 - 3124*k**2 + 4 - 2 + 1 - 2*k - 5 as f + i*k**2 + v*k**3 + o*k and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 234, 237, 240, 243, 246, 249?\n\"Answer: 3*r + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*r + 18 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1600212 + 951412. Round p to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + 5 + -20 + -25 + 56.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c + 8. Determine l(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001153 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 54. Let t = 4 - 2. Let b(w) = w**3 - 5*w**t + 3*w - 2*w - 3 + w. What is b(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*p - 12, -x + 2*p + 1 = 3*p. Suppose -5*r = 3*j - 178, x*r - j + 7 = 87. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1419*v - 1232. Let g(h) = 81*h - 70. Let p(m) = 5*f(m) - 88*g(m). Let r(a) = 8*a. Determine p(r(i)).\nAnswer: -264*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.26.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (461004 - w**3 - 3264*w - 461004)*(2*w**2 + w**2 - 5*w**2).\nAnswer: 2*w**5 + 6528*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/9*96\/20. Suppose 2*o = q + o + 9, -2*q - 30 = 2*o. Let h = 16 + q. Solve -2*k + h*d - y = -6*k, -5*d = -15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947271 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12748, -0.2, 4, -4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17930 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240235 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -4, 2738?\nAnswer: 2738","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -449.495155\nAnswer: -449.995155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 33, -2 in ascending order.\nAnswer: -5, -2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032 - 338?\nAnswer: -338.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/24 - (-128)\/3. What is the greatest common divisor of 21 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/8 and -15\/46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*d - 758 = -330 + 625. Solve 0 = 379*n - 376*n - d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*14843\nAnswer: -74215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153)*1 - sqrt(153)))*-1)\/(sqrt(900) - sqrt(900)*2).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*b - 16, -b + 2*l = -3*l - 16. Let u = b - -61. Calculate the remainder when 56 is divided by (2\/6)\/(1\/u).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917003117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/(-4 - 30\/12). Sort 232, o, 4, -5, -3 in decreasing order.\nAnswer: 232, 4, o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 108\/90*1780\/6. Let o = i - 188. What is the common denominator of 380\/o - ((-8)\/6 + 1) and 83\/2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*n = 119*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2786\/21*-6)\/1. Is 10 a factor of (-1)\/3*(o - -16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158607280 divided by 130\nAnswer: -1220056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 5*r**2 + 5*r - 2. Let z be k(-6). Suppose y + z = 8. Suppose -4*f + 2*m = -88, 2*m = -0 - y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*(-3 - (-21)\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 7*k**3 - 11*k**3 - 9.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, -2, -0.01, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 10:25 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 15 - (-27 + 47).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**4\/2 - 2*q**3\/3 + 2. What is m in y(m) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3937.273 meters in centimeters?\nAnswer: 393727.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/46 and -8\/115?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*n - 23. Is -5 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.73 - 0.27. Let u = w + 19.3. What is the second biggest value in u, 1, -1\/12?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9021900 and 510400.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j + 4. Let n(x) = -2*x + 3. Let p(d) = -3*h(d) + 4*n(d). Let s(i) = 3 + 8*i**2 - 3. What is s(p(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.840435 hours?\nAnswer: 17425566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -53, -3, 79, 193, 339?\n\"Answer: 16*d**2 + 2*d - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*m + 43, -4*m + 132 = -3*r + 7*r. Is r a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 divided by 1236594?\nAnswer: 419\/1236594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -3*n + 81. Suppose -5*o + n = 2*u, 296 = 5*u - 5*o + 81. Round u to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63\/2 - -31. Let f = -0.08 + -1.92. Let j = -0.3368 - -0.1368. What is the nearest to f in j, 1\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/35 bigger than -1475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 8:26 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 12, -4*c + 1062905 = -4*y - 131379. Is c 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 14000162, 14000136, 14000110?\nAnswer: 14000084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p - 16. Let l be 34\/(-6) + (-2)\/(-3). Let k be c(l). What is the greatest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2762*j**3 + 3 - 2 + 2*j + 2769*j**3 - j**4 to i*j + l*j**4 + o*j**3 + v*j**2 + k and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pffo when four letters picked without replacement from fpohffpfphppp?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -55470*i + 55468*i - u, i + 325 = 25*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3382*h + 0 - 1604*h + 0.\nAnswer: -4986*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*m**3 - 944*m**2 - 717873*m wrt m?\nAnswer: -264*m - 1888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1751\/7 - 250. Let h = 3 - 2.8. What is the closest to -1 in 0.5, j, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 69, 283, 643, 1155, 1825, 2659, 3663?\n\"Answer: n**3 + 67*n**2 + 6*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**2 - a - 1. Let r(t) = -t**3 - 3*t + 3. Let g be r(2). Let s(v) = 37 - 10*v**2 - 65 + 12*v - v**3 + 38. Let w be s(g). Calculate u(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**(-5)\/b))*b*b*b\/b**(-4)*b)**4*(b**(-1\/4))**(-15\/8)*b**(2\/17)*b*b**(3\/4) assuming b is positive.\nAnswer: b**(7799\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -11*m**2. Let n(i) = 5*i**2. Let x(a) = -5*n(a) - 2*w(a). Let v(j) be the first derivative of -j**3 - 36. Calculate x(v(u)).\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 13 - 28. Suppose v*f + 3*p = 18, 4*f - 5*p - 4 - 2 = 0. Suppose 3*x - f*x + 3 = 0. Solve -4*b = 4*i - 20, 3*i - 5 = -x*b + 2*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzzczxcmm. Give prob of sequence cz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -920, -7256, -24468, -57998, -113288?\n\"Answer: -907*c**3 + 4*c**2 + c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 9:03 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 a factor of 563409067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(sqrt(8) + sqrt(48)\/sqrt(54)))\/(sqrt(196) + (-2*sqrt(196) - sqrt(196)) - -5*(sqrt(4) + sqrt(36))).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 1232.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-16)\/(-4) + 0. Let i(f) = f**2 - 4*f - 5. Give i(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146 - 90*y - 223*y + 315*y - 5*y**2 to s + q*y**2 + h*y and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Suppose -r - 4*y = -6, -2*r + 4*y = 2*r - v. What is l in r*l**4 + l**3 + 0*l**3 + l**5 + 0*l**5 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - -10 - (-4025 + -3)\/(-9 + 11).\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooodomdvommsmooomomo. Give prob of sequence vso.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 15*w**2\/2 - 16*w.\nAnswer: w*(w - 32)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 + 3*k**3 - 3*k**3)*(4*k - 3*k + k) - 15*k**5 + 57*k**3 - 57*k**3 - 2*k.\nAnswer: -19*k**5 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.2012, -3502, 1\/4, 5?\nAnswer: 0.2012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3837\/21 + 1 - (-4)\/14. Calculate the highest common divisor of v and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 74*q - 36*q - 37*q.\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5 + 5. Let p be 12\/(-9)*-3*1. Find the second derivative of p*u**5 + 4*u + 0*u - u + 0*u**s wrt u.\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55131.3 to the nearest one hundred.\nAnswer: 55100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(170))\/sqrt(10) - ((4*sqrt(68))**2 + 5).\nAnswer: -1093 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1076, -6341, -20624, -48431, -94268, -162641, -258056?\nAnswer: -385019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efwdewddew. What is prob of picking 3 e?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = 4*o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -3*f + 374*t - 378*t, -13*f + 4*t = 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -661, -822, -1099, -1522, -2121?\nAnswer: -2926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2287.1 take away 1?\nAnswer: 2286.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/5))\/h*h**(1\/2)\/h*h*(h*(h\/h**(-2\/23))\/h*h)**(-24) assuming h is positive.\nAnswer: h**(-11497\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -470.3 + 470. Let t = -3 - -4. What is the smallest value in -2, t, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 2*d - 12, -3*f + 1 = -4*d + 17 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33\/74 + -2\/37. Let o = -0.217 + 5.217. What is the third biggest value in k, o, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 9. Suppose -5*t + i = 7. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z. Let q(n) be the third derivative of 7*n**5\/30 - 6*n**2. Determine o(q(p)).\nAnswer: 70*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + 106. Solve -3*p = -4*f - 2*p - d, 0 = -5*f - 5*p - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (1 - 11 - 9) - -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqs when three letters picked without replacement from sdsssqqsdtttssdssts.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -364537 - -3?\nAnswer: -364534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4869600.35 to the nearest one hundred thousand.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/14 - (-30)\/(-52). Let d = -298 - -294. Let l = -51\/10 - -9\/2. Put l, t, d in descending order.\nAnswer: t, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34296.76 * -225.\nAnswer: -7716771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*b + 6 = -0*b, 3*q - 5*b + 15 = 0. Suppose 0 = -x + 5, 3*v - x - 1 = -q. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512054821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(2*(sqrt(24)\/sqrt(2) + sqrt(12))).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 91*u + 6. Determine y(1).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 36. Let j = -13 - m. Suppose -5 = -b + j*d, -b - 41 = -2*b - 4*d. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 38 = -d - 3, 98 = 3*d + 8*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 + -39. Let w be y\/21*(-105)\/10. Suppose 0*i = -3*i + w. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.41 and -155.\nAnswer: -63.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 795\/22, 63 in ascending order.\nAnswer: 1, 795\/22, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**6\/120 + 7*g**5\/60 + g**4\/6 - 4*g**3 + 7*g**2. What is the smallest common multiple of 4 and x(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83722517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49486 is divided by 255?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 17*g - 7. Let z be i(10). Let t = 20 - z. Let m = 4 + t. Which is smaller: -3\/16 or m?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + g = -8560000. Round g to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 791478704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055964125 rounded to three decimal places?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 5*f**2 - 12*f - 10. Let i be l(7). Let p(v) = -4*v**3 - 5*v**2 + 4*v + 2. Let b(x) = -4*x**3 - 4*x**2 + 3*x + 2. What is i*b(q) - 3*p(q)?\nAnswer: -4*q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpcjoarj. What is prob of sequence jar?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1045 and -64\/2695.\nAnswer: 51205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 9*v**3 - 1911*v**2\/4 - 36561*v\/4 + 765 = 0.\nAnswer: -15, 1\/12, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from doodoo.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, e: 4, r: 1, z: 3, d: 1}. What is prob of picking 2 e and 1 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*y + 168*y - 28 + 244 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -15*q + 36. Give m(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1408.52 to the nearest 10.\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -3\/5 (b) -11 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, e: 1}. Give prob of picking 2 i.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 40?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-351)\/(-45))\/((-6)\/(5 + 25))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 145834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 7*f**2 - 49*f + 9. Let h(c) = 2*c**2 - 2. Determine 4*h(z) + y(z).\nAnswer: -z**3 + z**2 - 49*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 0.123 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*k**2 - 187*k**2 - 182*k**2 + k - 6*k + 5*k + 415*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 566253, 1132500, 1698747, 2264994, 2831241?\nAnswer: 3397488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2, 1\/2, 8743?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/9 + 6*b**4 - 124*b**3\/9 - 2020*b**2\/3 + 4750*b - 8250 = 0. What is b?\nAnswer: -11, 3, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*c**3 + 292*c**3 - 106*c**3.\nAnswer: 58*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.9, -5, -0.1, -3?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -118, -5, 3 in descending order.\nAnswer: 3, 0, -5, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -58 + 26 + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2522679, -10090684, -22704025, -40362702, -63066715?\n\"Answer: -2522668*j**2 - j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -184 - -184. Let j be (44\/6)\/(2\/39). Let y = j + -717\/5. What is the closest to h in -0.3, y, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 15 + 19 + (-25 - 1) - 34.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*i**2\/2 + 5*i.\nAnswer: -i*(31*i - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 368, -14\/3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 10:27 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*c**2 - 17*c + 22*c - 14*c**2 + 15*c to the form y*c + h + g*c**2 and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55201 + 55207. Let y = 5 + 2. Which is smaller: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1457)\/705 + (-60)\/(-25). Let t(m) be the second derivative of y*m**3 - 1\/4*m**4 + 21*m + 1\/20*m**5 + 0 + 0*m**2. Factor t(f).\nAnswer: f*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.031771 + -0.03. Round b to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.38 and 0.3.\nAnswer: 0.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344) - 2*sqrt(1344)*2 - (sqrt(1344) - (sqrt(1344) + -2*sqrt(1344))*-6))\/(sqrt(108)\/sqrt(4) + -3*sqrt(27)).\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - -56) + (-14 - (1 + 0))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + (-6)\/2 + 0. Let b = -7 - r. Solve 2 = -c - b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/10)\/m*m**(2\/9))**(1\/3) assuming m is positive.\nAnswer: m**(-61\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -308 + 360. Solve 0 = v - b + 49 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 295, 784, 1479, 2386, 3511, 4860?\nAnswer: 6439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3*k - 4, -3*r + 0*k + 8 = k. What is the third derivative of -118*q**4 + q**2 - 36 + r*q**5 + 121*q**4 + 0*q**2 wrt q?\nAnswer: 120*q**2 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-22))\/(9\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4569986 (base 10) in base 6?\nAnswer: -241541202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1204784100*b**2 - 138840*b + 4.\nAnswer: 4*(17355*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 336949.78 - 330727. Let v = 6131 - u. Let h = v + 92. Round h to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + sqrt(1377))**2 + (4 + sqrt(17)*2 + -5 + (sqrt(17) + 0 - sqrt(17)))**2.\nAnswer: 32*sqrt(17) + 1450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + 1.4. Let b = 0.5 + j. Let c = -3.06 + 0.06. What is the closest to b in -1\/3, c, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 1:53 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 + -218 + (9 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*i + 1355*i + 605*i + 37581 = -22467 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5 + 1143\/45. Suppose -m = 5, 3*m - m = 5*p - 30. Find the second derivative of -p*k**4 - 19*k**4 - s*k**4 - 26*k wrt k.\nAnswer: -576*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + 1)*2 - (sqrt(132)\/(sqrt(55)\/sqrt(5)))\/sqrt(4))*6.\nAnswer: 12 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvdv when four letters picked without replacement from {d: 7, v: 12}.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v**2 + 12*v - 3*v - 9 + 11 - v**3. Let f be k(-9). Find the second derivative of -13*h + 7*h - f*h**4 + 13*h wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: What is the ten millions digit of 22654876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -388 and -388 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**3 + 2*w**2 + w. Determine m(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14476714 and 12488.\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - -0.68. Which is the closest to -0.1? (a) 2 (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 315\/8 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -509.289 and 14552.705.\nAnswer: 14043.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 0, 34*p + 1 = 33*p + 5*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*w**2 + 3*w**2 + 2*w**2)*(-4*w + 3*w + 0*w) - 283*w + 283*w + 115*w**3 to c*w + d*w**3 + k*w**2 + m and give d.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -3 (c) 5 (d) 0.2 (e) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 284 - 152. Suppose -6*p + 258 + d = 0. Is 67 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 375 + 504 = 0. Let q = 2347\/8 - f. Let t = 0 - -0.1. What is the closest to t in q, -3, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**3 - 126*a**2 + 26*a - 25. Suppose 63*s - 77*s + 96 + 254 = 0. Give u(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -5, -154, 6.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**4 - 9*s**2 + 9*s + 8. Let b be (-1 - 11)\/(6\/(-9)). Let i(j) = j**4 - j**2 + j + 1. Let n(p) = b*i(p) - 2*y(p). Differentiate n(c) wrt c.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -30.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 54, 1 in ascending order.\nAnswer: -4, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 527?\nAnswer: 7905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5699 and 1357387?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*x + 29 + 151. Let t be (4 + -12 - x) + 24\/10. Find m such that -2 - 12\/5*m - t*m**2 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**3 + 53350*t**2 + 354949446*t - 11054761758 = 0.\nAnswer: -13353, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n. Let a(g) = 486*g. What is a(y(t))?\nAnswer: -1944*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6632, 12, 0 in descending order.\nAnswer: 12, 0, -0.6632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000052302 rounded to seven dps?\nAnswer: 0.0000523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**5 + 496*x**4 - 1036*x**3 - 3496*x**2 + 4080*x + 6048 = 0. What is x?\nAnswer: -126, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7556 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -36*j**2 + 65*j + 5. Let g(q) = 68*q**2 - 132*q - 9. Calculate -5*g(p) - 9*y(p).\nAnswer: -16*p**2 + 75*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 + (-7 - 9) - (-28)\/5. Which is the nearest to 3? (a) n (b) 0 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 226 - 275. Let d be (2 + 1)\/((-21)\/r). Let m(t) = t**3 - 6*t**2 - 8*t - 9. Calculate m(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -256*o + 2237. Determine u(9).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, s: 1, l: 3, p: 3, f: 1, e: 3}. What is prob of sequence eppt?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10c893 (base 15) to base 11\nAnswer: -4a8461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 6*v - 4*v - 570, -4*d = v - 2259. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(130)\/(sqrt(20)\/sqrt(2)) + -1).\nAnswer: -6 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 20*h - 12. Let n be t(13). Let j = -60 - n. List the prime factors of j.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 595, -70, 4, 5, -5 in ascending order.\nAnswer: -70, -5, 0, 2, 4, 5, 595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21*((-8)\/(-140))\/(1\/5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, -11, -6, 25, 94, 213, 394, 649?\n\"Answer: 2*m**3 - 5*m**2 - 8*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44661665?\nAnswer: 5, 439, 20347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**3 - 31*d**2 + 149*d - 584. Give o(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:01 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.03558811 to one dp.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2284 + 2276. Let y(f) = -5*f**2 + 11*f + 14. Let i(j) be the first derivative of -j**3 + 7*j**2\/2 + 9*j + 1. What is g*i(s) + 5*y(s)?\nAnswer: -s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3090651.\nAnswer: 3, 17, 60601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 700\/2450 + (0 - 66\/(-14)) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**0)**(-37\/3))**(-42) assuming g is positive.\nAnswer: g**518","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 14*m**3 - 13*m**3.\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560 + 1096 - 536 - 9*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -1. Let j(r) = 2*r**2 - r - 3. Suppose 2*b - 2*s - 53 = b, 5*s = -5*b + 325. Let p = b + -57. Calculate p*d(x) - j(x).\nAnswer: -2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 - 5*y**3 + 3*y**3 + (-y + 2*y**2 + y)*(0*y + 3*y - y) + 3*y**3 - 3*y**3 - y**3 + (0*y**2 + 2*y**2 + 0*y**2)*(-y + 0 + 0).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 283 - -23?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**20*h)**8*((h\/(h*h**(1\/42)))\/h)**(2\/131) assuming h is positive.\nAnswer: h**(462125\/2751)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138670, -277340, -416010, -554680, -693350?\nAnswer: -832020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = 14*x + 157 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 22513*x - 22513*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8528, 8535, 8538, 8531, 8508, 8463, 8390, 8283?\n\"Answer: -m**3 + 4*m**2 + 2*m + 8523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 6792.2 (b) -0.09 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5 + 3*c**4 + 7*c**3 - 7*c**2 - 18*c - 8.\nAnswer: -(c - 4)*(c - 2)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -40\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(3\/(6\/4)). Let q = -2 - r. What is the remainder when (-27 + 4)\/(2\/q) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-3) - (-13788)\/8. Let r = 1671 - f. What is the common denominator of r and 59\/340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + c**2 - 2*c - 2. Suppose 2 + 0 = -x. Let d(i) be the second derivative of -i**4\/12 + i**3\/2 + 3*i**2\/2 - 3*i. Calculate x*d(w) - 3*u(w).\nAnswer: 3*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 949\/795 - -1\/159. Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20662*q**2 + 160164*q?\nAnswer: 41324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -5. Let z = -2 + -2. Let v = f - z. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -131558, -130249, -128944, -127643, -126346, -125053?\n\"Answer: -2*v**2 + 1315*v - 132871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5 - 2 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 179*m**5\/20 + m**4\/6 - m**3\/6 - 41*m. What are the prime factors of u(1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 535?\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 159385703*j - 146038126?\nAnswer: 159385703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1932*a + 121. List the prime factors of f(-3).\nAnswer: 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**6 + 6350*a**3 + 78*a**2 + 2*a - 334 wrt a.\nAnswer: 480*a**3 + 38100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 292281145.\nAnswer: 292281149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 11:30 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((0\/4)\/(-3))\/3)\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 16*z**2 + 104*z + 280. What is q(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 263*h**3 + 76*h + 165565 wrt h.\nAnswer: 789*h**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2.9. Let g = -0.1519 + -0.1481. What is the nearest to g in -1, v, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 8. Let c be k(-3). Sort c, -2, 20 in decreasing order.\nAnswer: 20, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-26) - (-338826)\/3874. Solve 0 = 68*p - 39*p - h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 18*d - 197 = -22*d, 5*d = f - 53. Suppose 4*x = b + f, x - b = -2*x + 48. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6365 is divided by 298.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**3\/4 + 1040*u**2 + 46351740*u - 122564423520 = 0. Calculate u.\nAnswer: -6776, 3804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -235.913.\nAnswer: -232.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**3 - 72852*v**2 + 145716*v - 72860 = 0.\nAnswer: -18215, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 11*i - 13 = -13*i, 5*i + 110 = 5*d. What is the remainder when 834 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4497729 or 4497728?\nAnswer: 4497728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5550.158 weeks in seconds?\nAnswer: 3356735558.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5548, -11112, -16664, -22198, -27708, -33188?\nAnswer: -38632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120214, 120238, 120262, 120286?\nAnswer: 120310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51252 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 79738392*p**3 - 4*p**2 - 79738413*p**3.\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -273237949*o**2*t**2 - 5*o**2*t - 4*o**2 + 15*o*t + 4*o + t + 24 wrt t.\nAnswer: -546475898*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407747244?\nAnswer: 2, 3, 17, 1998761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -28467*c + 983. Is w(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2 - 4910104*t + 1506820080676 = 0. What is t?\nAnswer: 613763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5016*u - 5023*u + 10020*u.\nAnswer: -19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64603?\nAnswer: 7, 11, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 157, 309, 461, 613, 765?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018931 rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*sqrt(85)*2 - sqrt(85) - -2*(sqrt(85) + sqrt(85)*1 + sqrt(85)))\/(sqrt(15)\/(sqrt(363) + (-2*sqrt(363) - sqrt(363)))))**2.\nAnswer: 16456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/((-1824)\/(-504))*4\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 8:22 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2135 - -3?\nAnswer: -2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -1993\/23460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 2*w - w + 5*w. Let z(y) = -42*y + 78*y - 37*y. Calculate n(z(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 15 (b) 112\/5 (c) 4\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -40, -78, -124?\n\"Answer: -4*h**2 - 18*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 13*v + 9. Suppose 4*c - 50 = -3*i, -4*c + 54 = -0*c + i. Is g(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + -2.56. Let g = 2.1 + y. Let w = 1 + -0.8. Put g, 2\/3, w in descending order.\nAnswer: 2\/3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1513 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -413*p**2. Let j(d) = -26*d - 34*d + 58*d. Calculate j(h(k)).\nAnswer: 826*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.396 + 1.614. Let f = -16 + v. Let r = -6\/49 + 188\/735. What is the biggest value in r, f, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 y, and 1 p when four letters picked without replacement from fssswfssfyyfwp?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 465, -5.4275 in decreasing order.\nAnswer: 465, -5, -5.4275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 122, 138?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/90 - 4\/18. Solve -5*b = 5*q + 45, i = -3*q + 2*b - 4*b - 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29\/477 + 3151\/477. Solve g*y - 20\/3*y**3 - 4*y**2 + 16\/3*y**4 - 4\/3 = 0 for y.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 + -21?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (((-250)\/(-30))\/5)\/((-1)\/(-189)) and 35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/h)\/h*h**(-1)*h**(3\/2)*(h\/(h**(-5)\/h))\/h*(h**(-1\/6)*h\/(h\/(h\/h**(-1\/8)))*h)\/(h**(1\/3))**(3\/35) assuming h is positive.\nAnswer: h**(3721\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -23, -5, 3.\nAnswer: -23, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 292*x - 843. List the prime factors of m(25).\nAnswer: 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 226\/(-5) + (-1042)\/(-5210).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33345)\/(-1710))\/(3\/(-14) + 1 + (-28)\/98).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -1.39.\nAnswer: -12.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/231 and -71\/3168?\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -344*r**3\/3 - 777*r**2 + 513. What is the second derivative of c(w) wrt w?\nAnswer: -688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 159403*k + 478222. Determine s(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 34*u + 6. Let s be z(2). Let c = s - 70. Solve 0 = -5*f + c*f - 5*g + 17, 3*f = -5*g + 21 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n + 5. Let i(b) = -10*b - 4. Let z(c) = -4*f(c) - 5*i(c). Let m(j) = -j**2 + 7*j - 4. Let h be m(6). Let k(y) = -y + y - y**h. Give z(k(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 11:49 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -3, 2, -1, -11, 66, 0 in ascending order.\nAnswer: -11, -3, -1, 0, 2, 22, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92906*f**4 + 29*f**3 + 33751144*f**2 + 2.\nAnswer: 2229744*f + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 38 + 34 - 5)*(-2*g**4 - 3*g**4 + g**4).\nAnswer: -300*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 293 - 9969\/34. Let d = -78 - -218\/3. What is the common denominator of d and i?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z. Let h be s(-2). Let d(r) = r + 3*r - 5 + r**3 - 2*r - 4*r - 2*r**2. Is d(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*f - 12 + 3, 13 = 3*z - f. Let x = z - 18. Let w = x + 15. Solve 5*h - 10 = w*a - 6*a, -h = -4*a + 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 10. Suppose -1 = -2*v + l. Let j(n) = 59*n**2 - n + 1. Is j(v) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 - 3*u**4 - 2*u**4 + (u + 3*u - 2*u)*(62*u**2 - 62*u**2 - 11*u**3).\nAnswer: -25*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and 192417.94.\nAnswer: -211659.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1443 + 21054?\nAnswer: 15211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53633757 - -10?\nAnswer: -53633747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 9*v - 2595. What are the prime factors of v?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/(sqrt(24)\/sqrt(6)))\/(sqrt(800) - (3*sqrt(800) + sqrt(800)) - sqrt(800))*-4)**2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 22*f - 51. Determine n(32).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2969*i**4 - 3*i**3 - 92715*i wrt i.\nAnswer: 35628*i**2 - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81.2 - -71. Let z = v + 10. Let m = -358\/119 - -22\/17. Which is the second smallest value? (a) z (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1690*h + 2032 = 1698*h. What is the remainder when h is divided by 79?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**3 - 23*r**3 + 4*r**3 - r**2 + r**2.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -19*b**3 - 10*b**2 + 8*b. Let a(n) = 20*n**3 + 12*n**2 - 9*n. What is -5*a(z) - 6*o(z)?\nAnswer: 14*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*u + 37715 = 126787. Calculate the remainder when u is divided by 76.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(2) + (sqrt(8) + sqrt(2) + sqrt(2))*5))**2.\nAnswer: 17\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 230 - 221. Which is the second smallest value? (a) -4 (b) n (c) 0 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 - (-282)\/54. Let v(l) = -l**2 + 6*l - 2. Calculate v(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + u**2 - u - 6*u**2 + u**2 + 1027. Is c(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 179740 and 704.\nAnswer: 2875840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -4*d - 5*p, 46611*d - 46607*d = -4*p + 40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -21*q**3 - q**2 - 3*q - 38. Let c be k(-6). Suppose -1572 = -5*o - b + 4022, 4*o - c = 4*b. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32030 is divided by 1998.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2086335 and 203736?\nAnswer: 216978840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.234 to the nearest integer.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*b + 21 = 0, 0 = -i + 11*b - 8*b + 16. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, -51, -648, -1851, -3864, -6891?\nAnswer: -11136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**3 + 10*m**2 - 416*m + 1404. Calculate s(4).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-15 + 4)) + (1 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6\/11 (b) -2 (c) -4 (d) 3 (e) -27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 15*m**5 + 201*m**4 - 13887*m**3 - 173181*m**2 + 114312*m + 72540 = 0.\nAnswer: -31, -13, -2\/5, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2775920690 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k. Let r(m) = -493560*m. Give r(p(b)).\nAnswer: -1480680*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - 2*x + 2*x - 2*x**4 + (6 - 1 - 2)*(2*x**4 - 2*x**2 + 2*x**2).\nAnswer: 4*x**4 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41978 - 25922. Let b = l + 35075. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63577 (base 9) in base 10?\nAnswer: 42028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7299 + 7298.43. Is -38 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -10*d - 2*d. Suppose -4*j + 4 = -d. Suppose j*h - 5*q - 309 = 0, -q = -4*h + 3*q + 648. List the prime factors of h.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-9 + 16 + -13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330687 and 10317.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqlyqutu. What is prob of picking 1 u, 1 y, and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2 - 3 + p**3 - 10*p + 10*p**2 - 2*p. Let k be n(-11). Suppose -44 = -k*v + 8*v. Calculate the remainder when v is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**2\/7 - 5682*g\/7 + 45264\/7 = 0.\nAnswer: 8, 1886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 417*w**3 - 308 + 367 - 59 - 8*w**5 - 2392*w**2 wrt w?\nAnswer: -480*w**2 + 2502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**3\/3 + b**2 - 3*b + 1. Let g be i(-4). Suppose 0 = g*w - 4 - 6. Solve -2*d = -2*h + 6, 4*h + 5*d = w + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 408, 439, 470?\n\"Answer: 31*r + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 1, -22, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -14 - 1. Suppose -283 = -4*r + q*j + 172, -2*r - 5*j + 221 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21480 - -10984. Let p be (-3 + (-755434)\/6)\/(-12). Let f = c + p. What is the common denominator of 41\/2 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620720.9 centuries to months.\nAnswer: 744865080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 4, 0, 1861, -4 in increasing order.\nAnswer: -27, -4, 0, 4, 1861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2998013 to the nearest integer?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*b - 7*b + 66*b + 3*b + 33*b to i + v*b and give v.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 0 + (2*sqrt(475) + -2 + sqrt(475) + 5)*4)*-6 + -2)**2.\nAnswer: 74880*sqrt(19) + 2473216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**3 - 24*a**2 - 36*a = 0. What is a?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 685084225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6b00 (base 15) to base 3\nAnswer: 1011011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2200000 = 4*b. Suppose -2*o = 3*o + b. What is o rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3324 - 14420?\nAnswer: -11041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2777975 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.6 * -0.3.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -265*d. Let f be u(-2). Let z be ((-6)\/15)\/((-8)\/f). Let y = -27 + z. Which is the nearest to -1\/4? (a) 0.2 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 18. Suppose d = v + 12 - 32. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 56 = 6*i. Let h(a) = a**3 + 3*a**2 - 6*a - 5. Calculate the least common multiple of i and h(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9213087 - -1311?\nAnswer: -9211776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -341, -539, -757, -1001, -1277?\nAnswer: -1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*l - 66, 5*l + 0*l = o - 22. What is the remainder when 85 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21161718.17 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60.18772 - 18.549473.\nAnswer: -78.737193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*r + f - 14 = 47*r, 0 = -5*f + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 310318600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*p. Let j = 9 + p. Let r = -13 + j. Which is the nearest to 1\/3? (a) -4\/9 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Suppose 4*z + u*p = 4, 4*p - 1 + 2 = -5*z. Let t = -26 + 26. Solve t = s + 3*r + 13, -z*s + 4*r + 3 = -r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2832326 is divided by 1989?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 5965437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.00802942\nAnswer: -0.003211768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-6)\/60)\/(15\/(-25)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15 + (5\/(-4 - 1) - 0). Calculate the highest common factor of t and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*x**3 + 2*x**3 + 11*x**3 - 2 to the form z*x + n + g*x**3 + q*x**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = -b. Is b greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -11\/12 (b) -2.34 (c) -0.4 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, u: 2, m: 4}. Give prob of picking 1 u and 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21095, -84043, -188957, -335837, -524683, -755495?\nAnswer: -1028273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818337 is divided by 669?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 79828589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -321, -622, -925, -1230, -1537, -1846, -2157?\n\"Answer: -c**2 - 298*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llppllllll. What is prob of picking 1 p and 3 l?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 33*w**8\/56 + 10*w**4\/3 + 16*w**2 - 4. What is the second derivative of v(g) wrt g?\nAnswer: 3960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**12\/h*h*h*h*h\/(h*h*h\/h**31)*h*(h**18\/h)\/h*h*(h\/(h\/(h*(h*h**(31\/4))\/h)))\/h*h assuming h is positive.\nAnswer: h**(279\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = -5*i - 65, -3*i + 10 = -237*c + 239*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/15 in -1, 2\/5, 16?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0088945 rounded to 4 dps?\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168618, -673475, -1514904, -2692905, -4207478, -6058623, -8246340?\nAnswer: -10770629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + -3*(2 - 3). Let o = 2 + s. Is (-6)\/(0 + o) - 1 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5327?\nAnswer: 7, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11232083?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 2*t**2 - 2*t - 5. Let u be q(-2). Let n be 188\/(-1102) - 24\/228. Which is greater: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2 + 3*n - 35. What is g(4)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, -5, -51, 5 in descending order.\nAnswer: 5, 4, -5, -12, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -49*y**3 + y**2 + 2*y + 1. Calculate the remainder when p(-1) is divided by (-3)\/2*(-68)\/6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 4)*(-1 + 5 + 2)*(-3*q + 3*q + q**3) to the form c*q**2 + m + u*q**3 + h*q and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + 0*n**3 - n**3 + (2 - 2 - n)*(-n**2 + 2*n**2 + 0*n**2) + 72*n + 23*n**3 - 72*n + 2*n**3 + n - n.\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8943 - 8945. Let t(m) = -m**3 + 7*m**2 - 6*m + 4. Let k be t(6). Put k, -4, p, -5 in descending order.\nAnswer: k, p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j + 16 = 0. Is -8 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 - 93513844*w = 0. Calculate w.\nAnswer: 0, 23378461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3347*t - 13186. Give j(4).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 15 = -5*h, h - 10 = 5*h - 2*v. Suppose z = 2 - h. Suppose 0 = -2*r - z*a + 55 + 39, -r + 3*a + 31 = 0. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -26*p**2 + p. Let v(n) = 5*n + 3. Let l(d) = 6*d + 4. Let h(a) = 3*l(a) - 4*v(a). Determine f(h(i)).\nAnswer: -104*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.03 or -5868955?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*h - 761*h + 243*h + 244*h.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -282.837 - -283. Let w = 2.163 - z. Which is the nearest to w? (a) -20 (b) 2\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 12. Let j be x(-10). List the prime factors of (1246\/3)\/j + 58\/174.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**3\/5 - 12*u**2 = 0.\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 32.42. Let r = 16.91 + -17.28. Let m = r - c. Round m to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*(sqrt(192) + 0 + -4))**2 - ((0 + sqrt(192))*3 + -4)**2*2.\nAnswer: -20352*sqrt(3) + 63904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 + 1019*t + 34096. Determine w(-124).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1275 + -1240. What is the remainder when 209 is divided by i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470625712 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7299205*a**3 - 5952910*a**2?\nAnswer: 43795230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d**2 + 158*d**2 + 21*d**2.\nAnswer: 159*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 6)*(61 + i - 61)*(2 + 2 - 2) in the form j*i + y and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -440*n + 444 - 444 - 2037*n in the form l + z*n and give z.\nAnswer: -2477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + x + 2 = -11, -4*v = 4*x - 28. Suppose h - 1 = 0, -3*h + 6 = 2*w - v. Let j be 2*(-2)\/w*0. Solve -11 = k - 3*k - 3*m, 5*k - m - 2 = j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((6*(sqrt(216) + (sqrt(216) - -2*sqrt(216)) + sqrt(216)))\/sqrt(9))\/((sqrt(12) - sqrt(1452)*2) + (sqrt(12)*1 - sqrt(12))*3))**2.\nAnswer: 100*sqrt(2)\/7 + 1425\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -bfa (base 16) in base 15?\nAnswer: -d96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7018 (base 15) to base 5\nAnswer: 1224043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2088 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssi when three letters picked without replacement from {s: 7, i: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 532 - 96. What is the remainder when c is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*(-2)\/4)\/(-3). Suppose 4*i + 4*z - 204 = p, -z = 5*i + z - 255. Let j = i + -35. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*o = -20, -2*v - 5*o + 3 = 1. Let t(h) = 7*h + 10. What is the units digit of t(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**3 - 25*x**2 - 16*x**3 - 3*x - 21*x**3 + 4*x to i*x + q*x**3 + o + p*x**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*k - 0*k + 346, 4*k - 1324 = -4*o. Suppose -2*z + 342 = o. Solve -3*v - 2*d = -v + z, 34 = 3*v - 5*d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 - -1230?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41026 is divided by 3935?\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - i - 2 = 0, 5*v - 2*i = 3*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0055629036 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*g**4 + 1)*(g - 2*g - g) + 4*g**2 + g**5 - 4*g**2 - 2*g**5 + 0*g**5 + 4*g**5 + 2*g**5 - 3*g**5 + 3*g**5 - 21*g**5 - 4*g**5 + 3*g**5.\nAnswer: -13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wuub when four letters picked without replacement from iwuiutbtbutiuiuii?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 84*x**2 - 285*x - 156. What is the first derivative of w(o) wrt o?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105529005.\nAnswer: 3, 5, 113, 20753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbwwbbbbbbbwbwbbbbw. Give prob of sequence wb.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3*f + f + 14, 0 = 2*c - f - 9. Suppose 4*b - 3*o - 1013 = 0, -c*b - o + 390 = -129. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-81))\/((-14)\/12 + 1). Let f = -7 - -11. Factor -2\/3*m**5 - q*m - 4*m**3 + 0 - 8\/3*m**f - 8\/3*m**2.\nAnswer: -2*m*(m + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -12582*l**2. Let n(f) = -f**2. Determine y(n(j)).\nAnswer: -12582*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1760553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g**3 - 3*g**2 + 4*g + 16. Let j(o) = -5*o**3 + o**2 - 2*o - 8. Let m(q) = -11*j(q) - 6*t(q). Let k = 11 + -18. What is the units digit of m(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943877979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -197 + 188. Let a(o) be the first derivative of -4\/3*o**3 + 4*o + x + 0*o**2. What is the derivative of a(y) wrt y?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -48, -73?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-8 - (-9 + 4)). Let f = -1205 - -1206. What is the closest to f in 0.4, c, 44?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 32 - 7 = 0. Let p be 4\/m*(5 - 0). Let d be (-2)\/(4\/6) - p. Solve 2*l + d = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15004 is divided by 516?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 115*t - 760. Determine u(6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -3, 3 in ascending order.\nAnswer: -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.86 - 1.66. Which is the smallest value? (a) -39 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*h + 3*o + 136, 4*o - 130 = 5*h. Let g = h + 29. Solve k - u = g*k + 1, -4 = 4*k + 4*u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 6*k - 20. Let r be f(4). Let b = r + 2. Is b greater than or equal to -21\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2, 8, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 313 + 136?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 105 + 843. Let w be 2 + 1 + m\/(-156). Let i = 5\/39 - w. Which is the second smallest value? (a) i (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2982585753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000468156 to 5 dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 3 + 3 + (-2*d + 6*d - 2*d)*(-3 + 0 + 1) + (0 + 0 + 1)*(1 + 1 + 0)*(8*d - 2*d + 2*d) to q + g*d and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n + 1 + 5*n - 3 - 12*n. Let w be v(-6). Is ((-5486)\/39)\/(w\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 6*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-1203)\/12)*4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 12. Let a be (n\/(-4))\/(6\/(-16)). Factor -a + 2*o**2 + 3*o**2 - 2*o + o**2.\nAnswer: 2*(o - 1)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*a - 172*a + 1 = 178*a + 2*y + 2, y + 4*y - 15 = -15*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 8*a + 6 = 0. Suppose a*l - 4*p + 58 = 0, -4*l - 89 = 2*p - 5*p. Which is greater: l or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1\/287 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 + b - 1. Let r be (4 + 0)*(-25)\/10. Let m be r\/(-14) + 8\/28. Let t = m + 0. Determine u(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/4))\/u)**(9\/4) assuming u is positive.\nAnswer: u**(-9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15231194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/((-119)\/(-21))*(-8)\/6. Let i(b) = 7*b**2 - 5*b - 1. Let f(s) = 7*s**2 - 6*s - 2. Calculate t*i(o) - 3*f(o).\nAnswer: 7*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10}. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-3 - -4)*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 84.7, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.96 - -0.04. Let x be 1\/(-2) + (-34)\/(-4). Let r be (271\/(-1626))\/(0 + 2\/(-6)). Which is the closest to r? (a) x (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(304) + (sqrt(95)\/sqrt(80) - sqrt(19)) + sqrt(19).\nAnswer: 2 + 17*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 p, and 1 j when three letters picked without replacement from nfptpjsj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730*i**2 - 752*i**2 + 1448*i**2.\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3109 + 4768. List the prime factors of d.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1153.75 + -1262.656. Let m = g + 109. What is m rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*y - y + 324, 64 = y - 3*f. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4 - 11 - 2 + 2*l. Let q be o(6). Let k be (-48)\/(-8 + 4) - q. Solve k = 4*j + 3*t + 20, 0 = -2*j + 5*t - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17290\/9 + 1924. Determine r, given that 4\/3*r**4 + 0 + l*r**3 + 8\/3*r**2 + 8\/9*r + 2\/9*r**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, z: 2}. Give prob of sequence zk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eebebeeeeeeebbbe. What is prob of picking 2 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16987*l - l**2 + 16986*l - 33973*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7287 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 66. Let j be f(17). Let y be ((-4)\/10)\/((-240)\/j). Which is the nearest to y? (a) 2\/7 (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*121.\nAnswer: 84.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1122 and 28485?\nAnswer: 10653390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, -573, -2 in decreasing order.\nAnswer: 8, -2, -5, -573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqc when three letters picked without replacement from {c: 6, t: 2, q: 11}?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 0*m + 1\/12*m**4 - 1\/120*m**6 + 0 - 2\/3*m**3 + 1\/15*m**5 + 3*m**2. Let b be 13\/3 - (-3)\/(-9). Give y(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 410b7 (base 12) to base 4\nAnswer: 110231023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 1\/2*i**3 + 0 + 3*i + 0*i**2 - 1\/4*i**4. Factor a(k).\nAnswer: -3*k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -83. Which is greater: -0.08 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 50461, 100826, 151069, 201196, 251213, 301126, 350941?\n\"Answer: x**3 - 67*x**2 + 50559*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 424 (base 6) to base 15\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millennium in years?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 3*r + 4843, -i + 2420 = i + 2*r. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105889\/9 - 11765. Let z(p) = p**2 + 6*p. Let i be z(-6). Which is the second biggest value? (a) j (b) i (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7736232 weeks to microseconds.\nAnswer: 467887311360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*p + 33*p - 20. Let i(a) = -2*a + 1. Give i(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s - 3485 + 3333 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 89 in 0.05, -0.4, 218\/3?\nAnswer: 218\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45535767 + 45535741.999967. Let c = j - -25. What is c rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557977 a multiple of 553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -114960 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5915*a*h**2*k**2 - 2*a*h**2 + 6703*a*k**2 - 99*h**2*k - 45921*h**2 + h*k**2 wrt k?\nAnswer: -11830*a*h**2 + 13406*a + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -229, -454, -677, -898, -1117, -1334, -1549?\n\"Answer: s**2 - 228*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + x**2 + x + 1. Let k(f) = -4*f**3 + 13*f**2 + 5*f - 10. Let t(l) = 3*g(l) - k(l). Calculate t(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 3:24 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(68) - sqrt(17)).\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -6155349?\nAnswer: 1\/2051783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 501*n**3 - 1009*n**3 + 509*n**3 + 173 + 7*n**2 + (-n**2 - 3*n**2 + n**2)*(2*n - 2*n - n).\nAnswer: 4*n**3 + 7*n**2 + 173","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 129*p + 1222. Let t be j(10). Which is the fourth smallest value? (a) 7\/3 (b) 3 (c) 5 (d) t (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1377) - (sqrt(1377) + 2 + -1)**2) + (sqrt(1088)*3 - (sqrt(68) + sqrt(68) + sqrt(68)*3))**2.\nAnswer: -9*sqrt(17) + 1954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 359*0.4\nAnswer: 143.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o + 2*l + 21, o = -3*l + 7. Suppose 5*v = 12*m - 10*m + 41, -11 = -2*v - m. Differentiate o*u - 2 + v*u**2 + u - 8*u wrt u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f. Let m be (4\/(-14))\/((-5)\/35). What is the remainder when 2 is divided by h(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7246*s + 389. Is w(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124212661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, e: 1, v: 2, r: 4, y: 1, f: 1}. Give prob of picking 1 t and 1 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/492784383 and -121\/3148782?\nAnswer: 985568766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -6 (b) 1\/2 (c) -1\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(15\/9 + -2). Solve -3*f = 4 - z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 34*b - 81. Let l be g(3). Let q = -3 - -3. Suppose 0 = -q*s - 5*s + 735. What is the greatest common factor of l and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - m - 228*m**3.\nAnswer: -228*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, -16, 6, 5, -0.1, -8880?\nAnswer: -8880","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/(-204)*6\/(-10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w*w**7\/w))\/w)\/w**(2\/29))\/(((w\/(w\/w**(2\/9))*w*w)\/w)\/w**(6\/7)))\/(w**(-5)*w*w\/(w*w**4\/w)*w**(-7)\/(w**(1\/7)*w)) assuming w is positive.\nAnswer: w**(2012\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290066, -580133, -870200, -1160267?\nAnswer: -1450334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5 + 0 - 4*t + t + 4*t. Let w be d(10). Suppose -6*y = -3*y - w. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2 + -8 - (1448\/(-38) - (-474 + 446)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-100)\/(-5))*6\/24?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 232202 (base 4) in base 13?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*w = -165*w - 1440 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + m**4 - 136*m**2 + 25 + 132*m**2 - 73 + 5*m**3 - 3*m**3 + 5*m**3 to the form s*m**3 + q*m**2 + d*m + k*m**4 + l and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/4)\/(3\/6). Suppose h*p = -3 - 2. Let v be (p\/(-4))\/(5\/(-4)). Sort -3\/4, -0.4, v.\nAnswer: -3\/4, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000552315 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.9 - -10. Round u to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 6*d - 38. Let u be c(-10). Suppose 13 = u*h - 271. Suppose 551 = 4*b + 5*r, 3*b - 2*b = 3*r + h. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -38274*u. Let s(q) = 35*q. Calculate j(s(t)).\nAnswer: -1339590*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = b + b - 6, 5*b + 3 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/24 and 25\/414.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 327*q. Let o(u) = 3482*u. Give g(o(b)).\nAnswer: 1138614*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - 96*h - 1246. Let o(c) = 2*c**2 + 95*c + 1245. Let i(p) = 4*o(p) + 5*v(p). Factor i(j).\nAnswer: -2*(j + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -216\/47?\nAnswer: -216\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 9:14 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x. Let b(d) be the second derivative of -d**5\/120 - 4*d**3\/3 + 9*d. Let y(u) be the second derivative of b(u). Determine y(m(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000011 (base 2) in base 12?\nAnswer: 22b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**3 + 7*m**2 - 6*m - 25. Let r(s) = 8*s**3 + 7*s**2 - 5*s - 25. Let o(d) = 7*p(d) - 6*r(d). Give o(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005664623 to seven decimal places.\nAnswer: 0.0000566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -281 + 201. Let u be q\/(-12) + (-3)\/(-9). Suppose -u = -c + 6. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2. Suppose 36 - 3 = 3*v. Let x = v - 3. Let u(m) = -9 + 2*m**2 + 17 - x. Calculate n(u(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39882 and 2754?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10331513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 329*f**2 + 3 - 340*f**2 to the form n*f + b*f**2 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88)*1 + sqrt(88)) - 5*((sqrt(88)*-2 - sqrt(88)) + sqrt(88)))\/(-3*2*sqrt(200)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 + -78. Let o = 124\/3 - z. Let w be 96\/140 + (-4)\/14. Which is the third biggest value? (a) -1\/5 (b) -0.5 (c) w (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -1d?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -40*n**2 - 106062*n + 899080 = 0.\nAnswer: -2660, 169\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016)*3 + sqrt(2016))\/(sqrt(8)*3*2)*-1.\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2024 (base 9) to base 5\nAnswer: -21410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 32 = -3*a. Solve -z = -a - 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4097886793\nAnswer: 4097886794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*f**4 - 57 - f**2 + 79*f**4 - 76*f**5 - f**2 - 158*f**4 wrt f.\nAnswer: -4560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1) + (9 - (22 - 9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 114744816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 0.2, -2\/643, 2.2 in decreasing order.\nAnswer: 5, 4, 2.2, 0.2, -2\/643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3 - 89024*j**2\/3 - 33800275*j\/3 + 11276650\/3 = 0.\nAnswer: -29290, -385, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -545551.791 plus 4?\nAnswer: -545547.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -143394 divided by 2\nAnswer: -71697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -5. Let c = -2 - l. Let d(x) = 3*x. Let t be d(4). Calculate the greatest common divisor of t and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 - 2*s - s + 6*s - s in the form i*s + l and give l.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6169 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91824 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*u = 0. Suppose 0 = a - u*a - 15. Let y = 15 + a. Does 26 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.01 + -0.01. Let a = -284 - -201. Let m = 85 + a. What is the third smallest value in m, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153441 + 167740 = 8949*z - 255089 - 133317 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 73ec (base 15) to base 2\nAnswer: 101111111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 6 - 18. Let p(g) = -6 + c*g - 4*g - g. What is the units digit of p(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1, -8, -2\/5 in decreasing order.\nAnswer: 0.1, -2\/5, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*h + 279*h = -88 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/(x\/(x*x**(-1))))\/(x**4)**(-4\/5) assuming x is positive.\nAnswer: x**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -129 + 146.8. Let x = w - 18. Which is the closest to 0.1? (a) 0.2 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1425, -19, -80 in ascending order.\nAnswer: -1425, -80, -19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**7*(r\/(r**(6\/7)\/r))\/r*(r**(1\/4))**41 assuming r is positive.\nAnswer: r**(151\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 2*s**2 - 5*s + 3. Let p be g(3). Let v = p - -6. Suppose -6*c = -v*c - 51. What is the greatest common factor of 153 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7837774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 323*l**2 + 14 + 12*l - 156*l**2 - 166*l**2. What is q(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 + 1634*z**2\/3 - 327952*z\/3 - 2376416\/3.\nAnswer: -2*(z - 412)**2*(z + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Let r be (0 - 3) + i + 0. Suppose -2\/3*s + r - 2\/3*s**5 + 0*s**4 + 0*s**2 + 4\/3*s**3 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**5\/20 + 10*m**2. Let p(c) = -7*c. Calculate y(p(o)).\nAnswer: 147*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20495836*r**2 + 17657596*r wrt r.\nAnswer: -40991672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 7:01 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2009715.\nAnswer: 3, 5, 133981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02317578835 to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 + (5 - -1))*-1 + 3. Let w(t) be the third derivative of 0*t - 1\/24*t**r + 0 - 12*t**2 + 1\/60*t**5 - 1\/6*t**3. What is w(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/253 equal to -120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 13. Let d be k(-13). Let r be -2*(d - (2 + 2)). What is the second derivative of p**4 + 9*p - r*p + 9*p - 4*p**4 wrt p?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(0 - 1 + 0)*(m - 2*m - m)*(-4*m**2 + 0*m**2 + 5*m**2).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-7)*4361\/(-534).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -22, 57, 176, 341?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/(-52)*(-36)\/(-30) and -12\/5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181.9 + 182. Let x = -0.2 + -0.2. Which is the second smallest value? (a) j (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 6*r**2 - 3*r - 3. Let f be 8*(-7 - 279\/(-36)). What is y(f)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fffdffddfdfd?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5*y = 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from qqqqqqkkqkqqqqi?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -36. Let s = -17 + 26. Let n = z + s. Calculate the highest common divisor of 119 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) 20 (c) 3\/68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6031 by 353102.\nAnswer: -6031\/353102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, 485, 1544, 3151, 5306?\nAnswer: 8009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2124203404 (base 5) to base 6.\nAnswer: 240532454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -10. Suppose -2*g + a = -16. Suppose 2*u - 12 = g. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28585808 to the nearest integer?\nAnswer: 5347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-23)*f*(f\/((f*(f*f*(((f\/(((f*((f**(5\/3)\/f)\/f)\/f*f*f)\/f*f)\/f))\/f)\/f)\/f)\/f)\/f))\/f assuming f is positive.\nAnswer: f**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 12:43 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*d**3 + 29*d**2 - 43*d**3 - 29*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 5:17 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768*o - 31064 = 29608 for o.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**5\/7 - 8*v**4\/7 - 8*v**3\/7 + 4*v**2\/7 + 10*v\/7 + 4\/7 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-28 - -31 - 10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 70*d**2 - 19*d + 12. What is the tens digit of u(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*f - 51 = -26, 6*f + 2 = 2*w. Let n(j) = -j**2 - 1. Let h(t) = 2*t**3 - 7*t**2 - 8. Calculate w*n(x) + h(x).\nAnswer: 2*x**3 - 2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1013880 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2\/7, 3, -2, 0.07.\nAnswer: -2, -2\/7, 0.07, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-21)*(-225)\/(-180)*(-1)\/10?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - -2. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/112 + (18 - 29 - -12)\/7.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/98 in 0, 0.5, -41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3113*k*t**2 + 646*k*t - 4210*t**2 - 2577*t - 9 wrt t.\nAnswer: -6226*k - 8420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-10))\/(8\/20). Let b be (g + 4)*(5 - (-4 - -4)). Suppose 1611 = -2*w + b*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 36. Let n be 10\/v*414\/(-3). Suppose -n = -3*t + 40. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.54, -58808, 0.5 in descending order.\nAnswer: 0.5, -1.54, -58808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -64*n - 9. Calculate z(-2).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1307508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75653088 a multiple of 1648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1120*h + 55843 + 162841 = 778*h + 479*h for h.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s = 2*p - 12, -4*s = -4*p + 16. What is the units digit of (s\/(-5))\/((-5)\/(-50))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*f - 102*f - 72*f - 2.\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -248, -477, -704, -929?\n\"Answer: g**2 - 232*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (11 + -8) - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2. Let s = -22 - -10. Let n be (-7)\/(s\/9 - -1). Let l(g) = 15*g + 14*g - n*g. Give l(m(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 701, 703, 707, 713, 721, 731?\n\"Answer: u**2 - u + 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -599.08*-0.455.\nAnswer: 272.5814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 153 + c?\nAnswer: 15f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -233 + 166. Let j = 100 + i. Calculate the remainder when 164 is divided by j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*l + 14, 2 = 4*d + 5*l + 4. Let g = 3 - d. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3737\/5266?\nAnswer: -3737\/5266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 1. Let m(q) = -2*q + 5. Let p(d) = -5*k(d) + m(d). Let j(f) = 47*f. Give j(p(l)).\nAnswer: 141*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/540 and 67\/12258.\nAnswer: 122580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:29 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1452 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*i**2 - 7 - 41*i**2 + 35*i + 7 wrt i?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -46.97972 and 94.181146.\nAnswer: 47.201426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 20*j - i, -4*j - 3*i + 1368 = 1348 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2, -0.1, -15, -2769?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c. Let m(t) = -35*t + 20. Let j(p) = -2*p + 1. Let f(n) = -20*j(n) + m(n). Calculate f(r(d)).\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7547*t**2 - 34*t**3 + 39*t**3 + 7547*t**2.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/((-126)\/(-140))*2\/35. Which is the nearest to 9? (a) -0.2 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 9. Let h be k(22). Let m = 3 + h. Let p be 1*6\/(-4)*m\/(-24). Is 16\/11 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b**2. Let k be l(-1). Let y = k + 15. Let a = -4 + y. Solve a - 5 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -25*i**2\/2 - 28820*i - 16611848 = 0.\nAnswer: -5764\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 109, 99, 75, 31, -39, -141?\n\"Answer: -a**3 - a**2 + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h - 6. Let z be h\/(-9) - 2\/(-6). Suppose -3*t = z - 25. Calculate the lowest common multiple of 14 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Let g = -2.9 - 0.1. Which is the second smallest value? (a) 0 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 26*u**2 + 115*u - 315. Give y(30).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2445, 2150, 1771, 1266, 593, -290, -1425?\nAnswer: -2854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i. Let s be (i - 2)\/((-4)\/(-6)). Does 3 divide (0 - -1)\/((-1)\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 2:00 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/2 (b) 0.314 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*p + 184*p = 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 10 + 5)*(7 - 11*n + 16*n - 4*n).\nAnswer: -11*n - 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4780 and 1340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-2)\/1))\/(13\/(-676)*2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = -18*z - 14*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 935 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372614 divided by -33874.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/26)\/s**(5\/4) assuming s is positive.\nAnswer: s**(-71\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1 + 0 + d + 1. Suppose 4*c = -h + 3, c + 6 = h + 13. Let r(m) = 4. Let p(b) = -b + 7. Let s(v) = c*p(v) - 5*r(v). Calculate 8*g(q) + 3*s(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 12*d + 10. Let h be s(-7). Let n = 169 - 151. What is the highest common divisor of h and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 214863*k. Let p(x) = -2*x**2. Determine j(p(u)).\nAnswer: -429726*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 j when four letters picked without replacement from yyyjn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 - -178. Suppose -3*x = -150 + d. Solve 3*u + 13 = 2*c - c, -u = -5*c + x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 2:40 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1298508 (base 10) in base 9?\nAnswer: -2388186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145827 equal to 145831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 - 1 - y**2 + 1 - 1059*y.\nAnswer: -7*y**2 - 1059*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1937 + 1943. Let a(d) = -17*d + d**2 + 10*d**2 + 3*d**3 + 18 + d**3 - 7. Let u(y) = -2*y**3 - 6*y**2 + 9*y - 6. Determine p*a(r) + 11*u(r).\nAnswer: 2*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, -3\/4, 1\/7, -4\/7, 4\/53, -4.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22272 and 153016064.\nAnswer: 459048192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -16*(-35)\/(-840)*-3. Determine v, given that 2\/15*v**b - 2\/3*v - 28\/15 = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -106*i + 760. Determine q(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800513630.\nAnswer: 2, 3, 5, 43, 155083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*y + 22718 + 4610 = -13*y. Calculate the greatest common factor of y and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4382431.\nAnswer: 43, 101917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-7 - 6) + 21 + -16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -22. Let a be (-1)\/(((-28)\/g)\/7). Solve a*f - 6 = 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62750585?\nAnswer: 5, 941, 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 21 + 41 + -53?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**3 - 32*z**2 + 68*z + 32 = 0.\nAnswer: -8, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012682 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.6 take away -2948582573?\nAnswer: 2948582549.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 21 + -36 - -13) + (-8 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19423915853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 3\/8, -1, 124.615 in ascending order.\nAnswer: -1, 3\/8, 3, 4, 124.615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p**2 + 0 + 0)*((5*p - 2*p - p)*(-5*p + 3*p - p) - 3*p**2 + 6*p**2 + 0*p**2) in the form z*p**3 + h*p**2 + t + k*p + a*p**4 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(21)\/(sqrt(3)*-1)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -226 + 131 + 158 - 124.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16488 and 3311798?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 250732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/5*(-25)\/2. Suppose 0 = -o + 4*o + 12. Let p be ((-2)\/b)\/(o\/5). Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -21904, -139, 5, -2, 4 in increasing order.\nAnswer: -21904, -139, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 7*y**2 + 4*y + 15. Let r be k(6). Suppose -s + c - 5 = -4*s, -c = -s + r. Solve s*m = m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4 + 2. Let v = -5737 + 5739. Solve v*y = 2*b - 4, 3*y + 20 = -5*b - u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12 - 15)\/((-1*1)\/1). Solve h*u - 20 = 5*u + 4*r, 3*r + 20 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60189 + 6680902\/111. Let a = -1\/37 - f. Is a greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Let k(l) = 0*l**3 + 2*l**3 + 11*l**3 - 5*l - 3*l**3 + 7 - 3*l**2. Let h be k(3). Let c(s) = h - 235 + 9*s. Give c(y(u)).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.2406215 + 984.546?\nAnswer: 1026.7866215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 14.8266.\nAnswer: 5.93064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1728)*3)\/(2*(sqrt(9) - 2*sqrt(36)\/sqrt(4))).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 77?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**2 - 20*o + 8. Let i(m) = 2*m**2 - m + 2. Let l(y) = g(y) - 4*i(y). Suppose l(n) = 0. What is n?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 + 12*d - 4. Let k(f) = 7*f**2 - 25*f + 9. Let a(o) = -2*k(o) - 5*s(o). Let i be a(11). Let c(m) = -1 + 19*m - 30*m + i*m. Give c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*l. Suppose -n + l*b - 23 = 3*b, -3*b = -6. Let w = n - -126. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4392 divided by 2.\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 523840196?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 318445 to the power of 1\/2, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -365150 divided by -1090\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 5, -3\/2, 3, 319, 3\/8 in increasing order.\nAnswer: -5\/3, -3\/2, 3\/8, 3, 5, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 5) to base 7\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3217, 25782, 87011, 206230, 402765, 695942, 1105087, 1649526?\n\"Answer: 3221*n**3 + 6*n**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 162780901 divided by 1?\nAnswer: 162780901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/60 - i**5\/15 - 5*i**2. What is v in w(v) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a - 6067 - 115*a + 6067 + 5*a**2.\nAnswer: 5*a**2 - 80*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -14*p**2 + 5760*p - 34609. Determine t(6).\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57812 and 8148?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20531 + -10148. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1617)\/(-196)*2*2\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 8 - -8 - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 b when three letters picked without replacement from {i: 1, o: 7, e: 3, b: 5}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -972*k - 344*k - 884*k to the form m + i*k and give i.\nAnswer: -2200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 205.3 * -5.\nAnswer: -1026.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/4, 1\/5, 0, -0.25 in descending order.\nAnswer: 19\/4, 1\/5, 0, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158134.9047 - -158144. Let i = u + -9.1. What is i rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + 30. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 2:20 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 2. Let f be s(-3). Let u(d) = -d**3 + d**2. Let m be u(f). Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 52*n**3 - n**2 - 38*n + 37. Let u be q(1). Calculate the highest common factor of u and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 124? (a) -1\/4 (b) -7 (c) 5 (d) 0 (e) -5379 (f) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*(((sqrt(170) - (sqrt(170)*-2 + sqrt(170)))*1 - sqrt(170))*-5)\/(5*-2*sqrt(10)*-3).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-5\/3))**(-2\/29))**36)**(15\/7) assuming q is positive.\nAnswer: q**(1800\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) 187 (c) 3 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3674 + -6a?\nAnswer: -3711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 23 = 2*o - 24, -3*o = 4*y - 27 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -945?\nAnswer: 283.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2\/2 - 24077*i - 10302171\/2 = 0. What is i?\nAnswer: -213, 48367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2819838 and 4834008.\nAnswer: 33838056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 27069*w - 503. Is b(1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12465461 - -76?\nAnswer: -12465374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 26 - 7) + (-25)\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**4\/6 - y**3\/3 - y**2 - 10*y. Let q be x(3). What is the greatest common divisor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*(2 + sqrt(1573) + -1 + sqrt(1573) + 1 + sqrt(1573) + -2 + sqrt(1573))*2)**2.\nAnswer: 6443008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.81 < -43\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 0*f**4 + 2\/21*f**7 - 2*f - 1\/336*f**8 - 7\/2*f**5 + 0 + 0*f**6 + 7*f**2 + 0*f**3. What is the third derivative of q(g) wrt g?\nAnswer: -60*g**2 + 480*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9639*a - 62*a**3 - 19251*a + 9612*a.\nAnswer: -62*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -770, -817, -864, -911, -958, -1005?\n\"Answer: -47*s - 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 11)*(-2)\/(-6). Let o(f) = 4*f - f**2 + f**q - 4*f**2 + f**2 + f - 3. Calculate o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2. Let u(y) = 900 - 1782 + 883 - 739*y. Give u(b(k)).\nAnswer: 1478*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*k - 15*k - 11*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/463 - 461\/926. What is the closest to z in 4, -4, -12.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74840, -149689, -224538, -299387?\nAnswer: -374236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6973505\/7236 + -26042\/27. Let a = k - -3\/67. Calculate the common denominator of a and -31\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - -3)\/((-2)\/(-1436)*-2). Let o = w - -1893. Calculate the common denominator of 7\/8 and o\/(-92)*6\/20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n + 13. Calculate m(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18815578451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 6. Let l be (-16)\/(-48) + (5\/(-3))\/5. Solve l*r + 4*r = -x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.41885 grams to tonnes.\nAnswer: 0.00000641885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*y + 109 = -114*y - 4223 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -167. Let h = 36 - 52. Find the common denominator of 111\/20 and f\/(-5)*4\/h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from llmqhllhllmhle.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 3*w + 1572. Let k = w - 151. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -2544?\nAnswer: 2550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14034 (base 5) to base 8.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 12*u**2 - 10*u - 13. Let y be n(-12). Suppose -2*j - 525 = -y. Suppose -17*g = -16*g - j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 5)*(3 - 2 + 1) - 25 + 2 + 5)*(4*j**3 - 2*j**3 - 3*j**3).\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1143 and 176.\nAnswer: 201168","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -1624a1 (base 16) to base 12\nAnswer: -59b969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206030459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*w = 11, 0*s - 2*w - 6 = 2*s. Let p(z) = -6*z. Let y be p(s). Let i = y - 12. Solve i = u + 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 > 122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 2*m - 10. List the prime factors of s(6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 32 = -3*k. Let q = k + 16. Which is greater: -5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - c + 1433 = 0, 0*q = -2*q + 2*c + 578. What are the prime factors of q?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (8 - (-1 - -8)) - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30895 take away -609.4678?\nAnswer: -30285.5322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, -56\/5, 413, 0.5?\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 844 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 9*s. Solve -u + s*u = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/9 - 357016*m**3\/9 + 5309303716*m**2\/3 + 414306714536*m\/9 + 2693385883682\/9 = 0. Calculate m.\nAnswer: -13, 89267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1980 + 1998. Let b(y) = -24*y + 18. Let d(i) = 7*i - 5. Suppose 4*n - 32 + 12 = 0. Calculate n*b(v) + q*d(v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254530 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 71, 280, 629, 1118, 1747?\n\"Answer: 70*x**2 - x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 51. Let b = w - -45. Let y = b + -23.66. Round y to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2727.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 1826156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.88842 microseconds in seconds?\nAnswer: 0.00000788842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2) - (-1 - -3). What is the units digit of 1 + -2 + z + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 5503020?\nAnswer: 5503024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c - 3*c + c + (-3*c + 4*c - 3*c)*(233 + 88 + 25) - 4*c + 4*c + 3*c + (2 - 2 - 2)*(-4 + 4 + 2*c) + 4*c - 2*c - 3*c to the form m + d*c and give d.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 264 + -205 + -132 - (0 + 5).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3091152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 + 199*a**3 + 9533*a**2 + 3661*a**2.\nAnswer: 205*a**3 + 13194*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q. Let f(t) = -2*t + 13. Let i(g) = -g + 6. Let v(u) = -6*f(u) + 13*i(u). What is c(v(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*z - 0*z. Suppose -2*g + 6 = -4*f, 3*g - f + 0 = -z. List the prime factors of (-132)\/(-10) + g\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.134, -0.1, -4\/3, 1, 2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 21*t + 136. Give y(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 126, 193, 260?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) -8 (b) 36270 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/56 and 69\/299152.\nAnswer: 299152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**3 - 4*k**2 + 356*k + 1766. Give v(-5).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + 3*sqrt(242) + 2.\nAnswer: 2 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-27))\/((-2442)\/32967).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 210, -5, 4, 1 in ascending order.\nAnswer: -5, -4, 1, 4, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-3 + 0 + 2). Let q be -2 - -1*(g + 22). Let w(i) = -6*i**3 + 3*i**2 + 17*i - 17. Let b(n) = -2*n**3 + n**2 + 6*n - 6. Calculate q*b(f) - 6*w(f).\nAnswer: 2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) - 11150\/(-4). Is -3 - (-126)\/30 - t\/(-10) a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 26, 1, -2 in increasing order.\nAnswer: -4, -2, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 9 = -7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/50)\/(1\/((-10)\/8))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 2, u: 1, e: 4, t: 3}. Give prob of sequence et.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19203054*j**3 - 59790726 wrt j.\nAnswer: 57609162*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/11413, -1\/3, -34?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/107 - -95\/642. Let l = 2.0922 + -0.0922. Let p = 0.3 - 0.25. Which is the nearest to 1? (a) y (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + n = -2*n + 14, -5*r - n = -8. Is r at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 12. Solve 2*j - v*f = 14, 5*j + 3 - 15 = -4*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4345*c - 8 - 1014*c**5 + 5*c**2 + 8655*c - 4309*c wrt c.\nAnswer: -60840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**2 + 5*k. Let i(f) = -72*f**2 + 30*f - 22. Calculate -i(z) + 6*q(z).\nAnswer: 42*z**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/6)\/((-10)\/(-15)). Solve -q - f*q = -9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*117\/2*6\/18. Let o = -70 - s. Let m(y) = y**3 + 4*y**2 - 3*y - 4. Let z be m(-4). Calculate the greatest common factor of o and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) + -2 + 2)*-4 + -1 + -4 + 1 + -6*1*sqrt(162))*-3)**2.\nAnswer: 6480*sqrt(2) + 145944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 2. Let l be h(-3). Let z = -25 - -11. Let r = -10 - z. Sort r, 2, l.\nAnswer: l, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {s: 3, g: 1, u: 7, w: 2, a: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 3, -0.09, -23, 0.5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1468 and 63491.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b + 6. Determine d(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*s - 60 = 0, -2*b + 10*s + 10 = 7*s. Are 47\/4 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -10*h**3 + h**2 - 1. Let g be m(-1). Calculate the highest common divisor of g and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.117772mm to micrometers.\nAnswer: 1117.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 6*g**2 + 5*g - 4. Let v(n) = 4*n**2 + 1. Let o be v(1). Let y be k(o). Let u(i) = -10*i + 12. What is the tens digit of u(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + o - 76 = -r, 4*r + 3*o = 108. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 0*i + 0 - 64\/9*i**3 - 1\/35*i**7 - 5*i**2 + 88\/9*i**4 - 154\/45*i**5 + 23\/45*i**6. Suppose g(r) = 0. What is r?\nAnswer: 2\/9, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 429811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06728, 1\/4, 62.\nAnswer: 0.06728, 1\/4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 15*a**2 + 4*a - 4. Is 16 a factor of f(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -15*a**2 - 231*a - 756. Suppose -7*r + 495 = -16*r. Let h = r - -59. Let z(p) = 3*p**2 + 46*p + 151. Let j(u) = h*x(u) + 21*z(u). Factor j(l).\nAnswer: 3*(l + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 8 - 5 - 3*d**2 + 3 + 8*d - d**3. Let p be b(-7). Suppose 2*m - p = -m. Calculate the highest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 514586 + -515615215\/1002. What is the common denominator of (-1)\/(-4) - (-1730)\/360 and c?\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 472?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27706, -110127, -247496, -439813?\n\"Answer: -27474*i**2 + i - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/124 and -55\/384.\nAnswer: 11904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 2. Let o(q) = 4*q - 450. Determine 3*n(h) - o(h).\nAnswer: -h + 444","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(204) - sqrt(204))*1 + -5*sqrt(204)*2)\/((sqrt(120)\/(sqrt(100)\/sqrt(10)) + sqrt(12))*-2) + 1.\nAnswer: 1 + 13*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, -301, -1543, -4281, -9091?\nAnswer: -16549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8*v + 20. Let l(a) = 3*a - 7. Let p(z) = -17*l(z) - 6*x(z). Find the first derivative of p(w) wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t + 7. Let r(g) = -15 + 506*g - 404*g - 109*g. What is 13*j(c) + 6*r(c)?\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*m - 189*m**2 + 3 - 63*m - 2 - 84*m**2 wrt m.\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 3*q - 242. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/7 and 4\/(-14)*2 - (-16)\/52.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.517002 days to minutes.\nAnswer: 12264.48288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8030 divided by -8030.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quq when three letters picked without replacement from {q: 3, h: 2, y: 7, x: 1, u: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -5, -137.7, 1, 8.6?\nAnswer: -137.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132689657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5 = 4*g, 2*g = k + 3 + 4. Suppose -3 = t, 2*i = t - k*t - 20. Let j be 2\/i + 132\/21. Solve 5*r - 2*w - 28 = 0, -j + 34 = 3*r - 4*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. What is the remainder when 69 is divided by 20 + -3*2\/a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4505235 rounded to two decimal places?\nAnswer: 1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 8*d = 3*d - 3, q = -5*d - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(108))\/(-1*sqrt(81) + sqrt(9)))**2 + -2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 8:09 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 - -71. Let u = 43.8 + g. Is 13 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -14*m + i, 10*m - 11*m + 3*i = 5*m - 2*m - 57 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21307 and 51?\nAnswer: 21358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 137349*f - 1510889. What is a(-11)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 881 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47771425 divided by 5.\nAnswer: 9554285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11712062 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/24*-1*(288\/45)\/(-8)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109 + -40. Let i = h + -68. Which is the closest to i? (a) 0.5 (b) 0.2 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32892756?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 93\/28 + 21\/(-7). Let b = 3\/7 + l. What is the closest to 1 in 1, -1\/5, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 + 1 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 865 = 18*l. Let i(v) = 2*v**2 - 10*v + 36. What is the remainder when l is divided by i(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32232 (base 6) to base 12.\nAnswer: -2678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 12. Which is smaller: -0.2 or s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/9*(-27)\/(-18)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 7:24 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2 - 6 + 0 + 4 + (-3 + 2 + 0)*(-2 - 1 + 1))*(180*v + 185*v - 361*v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7877546110.1995467 + -7877545163. Let h = -947.2 + i. Round h to five decimal places.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - ((((sqrt(539) + 2)*1 - sqrt(539)) + sqrt(539) - sqrt(539)) + sqrt(539)))*5 + 3)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -1.2. Let t = d - -1.4. Let i be (-6 - -1 - -6)*-3. Which is the third biggest value? (a) t (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -391605 (base 10) in base 12?\nAnswer: -16a759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 5*k + 5*k**3 + 4*k**2 - 10*k**2 + 6. Let g(o) = -4*o**3 + 5*o**2 + 3*o - 5. Let l(v) = 6*g(v) + 5*m(v). Find the second derivative of l(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*a**2 + 32*a**2 + 36*a**2 - 1351*a + 30*a**2.\nAnswer: -a**2 - 1351*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z - 4. Let g be j(-3). Suppose 2*l + 30 = 4*f, f - g*l = -4*f + 40. Suppose -f = 2*q - 167. Round q to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107 - 199*w - 205 + 99)*(3 - 3 - 3).\nAnswer: 597*w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((2\/4)\/(2\/(-22))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 515.1148t?\nAnswer: 515114.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 (base 11) in base 10?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173240 (base 10) in base 13?\nAnswer: 60b12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 525316935 and 481?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*n = -12, -2*n - 8 = o + 3*o. Suppose -3*f = -3*j - o*j, 0 = -2*f + 5*j + 15. Is (f - -4) + (19 - 1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/21 (b) 3.46 (c) 2\/19 (d) -0.029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5146.832ml to litres.\nAnswer: 5.146832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (30\/(-5))\/1. Suppose 42 = q*n + 12. Suppose -2*x = 4*i - 3*x + n, -4*i + 2*x - 8 = 0. Which is greater: i or -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 112\/18 - 4\/18. Let w be ((-4)\/10)\/(6\/(-285)). Suppose w*j = 15*j + 8. Solve -s = -j*p - 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 543*d - 5721. Let u be v(11). Solve 25*z - u = -77 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 1827*h**5\/20 + 2191*h**4\/12 + 2*h - 13. Find the third derivative of u(v) wrt v.\nAnswer: 10962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjf when three letters picked without replacement from fxfxffffxjfffxffxffj.\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 + 9*t + 5. Let l be q(4). Let j = -1049 + 1049. Sort 6, -4, j, l in descending order.\nAnswer: 6, j, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x = -15*x - 12. Let k(q) = 37*q**3 - 2*q**2 + 4*q + 1. Does 49 divide k(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((78\/(-26))\/468).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -322 + 324. Let t(p) = 5*p**2 - 11*p + 3. Let x be t(n). Which is bigger: x or 5\/12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 + 0*t**3 + t**3 + t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*j - 3161 + 298 - 486 = 0 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -f + 4. Suppose -4*j - 32 - 2 = -3*q, j - 30 = -f*q. Let k(u) = u. Let p be k(q). What is the highest common divisor of p and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + ((sqrt(77)\/sqrt(7) + -2)*4 - (-3 + sqrt(33)\/sqrt(3)*6)))*-4)**2.\nAnswer: 320*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 417.02 and 45792.1?\nAnswer: 45375.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5081*f + 5081*f + 112*f**2)*(0 - 10 - 1).\nAnswer: -1232*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3*-1)\/((-15)\/(-170)). Let f = -24 - l. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14619*x - 404293 = -1427623 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, i: 3, y: 1}. Give prob of sequence yqii.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {o: 11, q: 2, c: 2, k: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c + 1. Let g be s(-3). Let w = g - 17. Find the second derivative of 2 + 3*v - 2 + 5*v**5 - w*v wrt v.\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (-18 + -19)) + -40?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.3. Let z = u + 0.2. Let x be 14\/(490\/(-189)) - -5. Sort x, z, 3.\nAnswer: x, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 625888 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67697.\nAnswer: 7, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*s + 1 - 84*s + 210*s + 7*s**2 - 80*s - 3*s**3 as f*s + x*s**2 + t*s**3 + v and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 575947153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 6) to base 7.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -497*s**3 - s**2 - 4*s - 4. Is 20 a factor of q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(sqrt(272) + sqrt(272) + (sqrt(272) - 2*sqrt(272) - sqrt(272)))**2*-1 + -2)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3114636*b**5 - 4432384*b - 1.\nAnswer: -62292720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + 2\/(-4)*2. Solve -v*u - 5*p + 22 + 6 = 0, -3*p + 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1246 (base 14) to base 13\nAnswer: -15c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 981.183 weeks to nanoseconds.\nAnswer: 593419478400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j - 54. Let s be b(14). Let x(c) = 3*c**s - 67*c + 76*c - 1 - 4*c**2. What is x(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 30. Let g(f) = -1504107*f. What is g(z(x))?\nAnswer: -1504107*x - 45123210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 = -a. Let b(t) = -t**2 - 5*t - 2. Let u(n) = 2*n**2 + 10*n + 4. Suppose o = 11 - 4. Let z(y) = o*b(y) + 4*u(y). Give z(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79898 - -79200.61. Round o to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -29*o + 2288. Let b be p(0). Calculate the highest common factor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.1. Let f = 1131 + -1133. Put f, 6\/5, g in descending order.\nAnswer: 6\/5, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0. Let c be ((-15)\/2*24\/(-30))\/(-2). Sort -5, h, c in decreasing order.\nAnswer: h, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 194443 and 61.\nAnswer: 11861023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b. Suppose 6*i + 2*j = 3*i - 3, 0 = i + 5*j + 1. Let l(o) = o**3 - 8*o**2 + 9*o + 4. Let t(k) = i*l(k) - 2*v(k). Calculate t(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1377) - -2*sqrt(1377)) + 5*sqrt(1377)*2)**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*a**2 + 424*a - 704.\nAnswer: -4*(a - 2)*(9*a - 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257226 (base 8) in base 10?\nAnswer: 1138326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/15)\/(34\/51) - 4. Which is the nearest to j? (a) -1 (b) 1\/4 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**3 - k**2 + 3*k + 3. Let h(a) be the third derivative of -2\/3*a**3 - 1\/6*a**4 + 0 + 0*a - 12*a**2 - 1\/20*a**6 + 1\/30*a**5. Give 3*h(d) + 4*s(d).\nAnswer: 2*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 - 3*i**3 - i**3 + (0*i**2 + 3*i**3 + 0*i**2)*(-2 - 1 + 4).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 + 61*i - 172. Let m(g) = g**2 - 31*g + 86. Let z(s) = 5*m(s) + 3*t(s). Calculate the remainder when 38 is divided by z(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40043 and -2.\nAnswer: 80086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 4*j + 4, 5*j + 12 = 3*o + 1. Let d(u) = -8*u. Let b be d(o). Is (b - (-6)\/3)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -33*k + 35*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l + 12*l = 10*l - 440 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/4)\/(42\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6960*o + 1258 = -6997*o for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 10:05 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 12*l**3 - 9*l**2 - 4*l - 4. Let q(w) = -13*w**3 + 9*w**2 + 3*w + 3. Let r(b) = 3*i(b) + 4*q(b). What is the third derivative of r(z) wrt z?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(891) + ((sqrt(33)*-2)\/sqrt(3))**2 - (sqrt(1100) + (6*(sqrt(1100)*-1)**2 - sqrt(1100))).\nAnswer: -6556 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46.73 + 49.73. Let k = -2 - 11. Which is the closest to 1? (a) k (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - 87\/(-18) - (-266)\/84. Solve 5*i - 16 = -p + 9, 0 = v*i + p - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8040 by -4020.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 248477.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/9)\/((-186)\/432 - 8\/(-18)). Solve -80*a - 3*n - m = -84*a, -a = 2*n + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - d**2 + 4*d**2 + (2 - 3 + 2)*(-d**2 + d**2 - d**2))*(-7 + 9 - 1)*(1 + 1 - 3).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -29486 (base 12) in base 9?\nAnswer: -87133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 5:25 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20841 + -3343. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 - 489*t + 483*t + 8*t**2 + 15 with respect to t.\nAnswer: 16*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2 - 602*l - 1815 = 0. What is l?\nAnswer: -3, 605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 247 or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a factor of 24425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:23 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*p + 2*p + 896, 3*p = -3*d + 1338. Suppose -10*f = 5*f - p. Let b = -1 - -7. Calculate the least common multiple of f and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -19646896.\nAnswer: -19646895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182659 is divided by 60882.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*q**2 + 44*q**2 + 94*q**4 - 68*q**2 - 4*q to h*q**2 + g + y*q + s*q**4 + d*q**3 and give s.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*w + 80, -2 = i + w + 37. Let j = -32 - i. Let t = 11 - -9. Calculate the greatest common factor of t and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6e (base 16) to base 9\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, -4, -5.\nAnswer: -11, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 261724, 261723, 261720, 261715?\n\"Answer: -j**2 + 2*j + 261723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -141.5432 + 0.0432. Let q = -142 - p. Sort q, 0.93, 2 in decreasing order.\nAnswer: 2, 0.93, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by (2 - 12)*(-1)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -0.3 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*i - 21, -r - 2 = 3*i - 9. Solve r*w = 8 + 27 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142595 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 25 = 3*f. Let r(t) = t + 1. Let h(p) = -8*p - 1. Give f*h(d) + r(d).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-55)*45\/36*(-6)\/15.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*p - 136498, -t - 326*p + 68277 = -327*p. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/12 + (-118)\/104. Let h = 2\/39 + n. Which is the nearest to -2\/11? (a) -0.2 (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/3661252 and -28\/392277.\nAnswer: 10983756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011122 + -1002211211?\nAnswer: -1021000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -447 divided by 447\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 13, 28, 49?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03174 - 2.03174. Let f = -64 - -321\/5. Which is the nearest to d? (a) f (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, m: 1, e: 1, w: 1, k: 2}. What is prob of sequence kkze?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 42033372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2047 and 8277?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53587803 is divided by 190.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/((-1925)\/(-176)))\/2.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29651592871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + l**2 - l**2)*(1 - 1 - 3*l**2).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**6\/20 - h**5\/12 + h**3\/6 - 13*h**2 - 4*h. Let b(w) = 7*w**3 + 6*w**2 - 1. Let p = -13 + 18. Determine p*k(i) + 4*b(i).\nAnswer: -2*i**3 - i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 262371331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-1 - -3)*1. Does 10 divide (41 + 176)*(0 - q - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -812\/5 or -162?\nAnswer: -812\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = 2*h + q, 222 + 162 = 4*h + q. Suppose -h*m = -89*m - 2142. List the prime factors of m.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84909 = r - 47*f + 42*f, -254699 = -3*r + f. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 1.5 (c) -3 (d) 0.4 (e) 8819 (f) 1\/3 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) - (sqrt(242) + 1 + sqrt(242) + 5).\nAnswer: -11*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6142425*w**4 - 4346880 with respect to w.\nAnswer: -24569700*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 77, -736, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754 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: How many minutes are there between 7:12 AM and 5:51 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*t**4 - 72*t**3 + 72*t**3 + (-1 + 2*t**4 + 1)*(3 - 1 + 0) + 3*t + 0 - 2 - 2*t**4 - 3*t**2 + 0*t**4.\nAnswer: -9*t**4 - 3*t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/57 - -85\/114. Put k, -3, 0.05 in decreasing order.\nAnswer: k, 0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11156? (a) 1.6 (b) 1\/2 (c) 2 (d) 1 (e) 4 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 1 + 5. Let j(o) = -o**3 + 5*o**2 + 7*o - 2. Let u be j(h). Let r(g) = -1 + g**2 + 2*g + 2*g**2 + 4 - g**3. Calculate r(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 317*x - 1. Let k(u) be the third derivative of -u**5\/20 - 2*u**2 + 464*u. What is i(k(j))?\nAnswer: -951*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f**2 - 52*f**2 + 15*f**2 + 11*f**2 - 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovo. What is prob of sequence ovo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = m - 17, -4*t + 6*m + 12 = 2*m. Solve 4*p - 17 = -t*s, -3*s + p = -0*s - 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*w + 4, -37 + 13 = -w - 5*m. What is the units digit of 8 + (w\/2 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138462 is divided by 4969.\nAnswer: 4299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 16179\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19284 is divided by 477?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.05852t to milligrams.\nAnswer: 21058520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -186.5 * -0.1\nAnswer: 18.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28\/3861 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 - 4*i**2 + 8*i - 25. Let j be v(5). Let b = j + -291. Let t(u) = u + 1 - u - 10*u. What is t(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/2 - 2) + -2. Let z = w + 9. Suppose 0 = 20*f + 16 - 116. Solve -f*j - z - 10 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 2*h**2 + h**2 + (1674*h - 1546*h - 912*h)*(4*h + 2*h - 5*h).\nAnswer: -783*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Suppose 3*g + 0*g = i*w - 284, 4*w = -g - 100. Let r be (-2)\/11 - g\/286. Sort r, -1\/10, -2\/15 in descending order.\nAnswer: r, -1\/10, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -18*d + 271. What is a(16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3976 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - 0.05. Let r = l + 0.06. Let i = r + 0.27. Which is the third smallest value? (a) 2 (b) i (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 34369.95 millimeters?\nAnswer: 0.03436995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 573\nAnswer: -5\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*v - 112*v = -105*v - 44643 for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**3\/2 + 129*d**2\/2 - 412*d + 2. Let x(y) = -4*y**2. Give f(x(o)).\nAnswer: -12*o**2 + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 746792 and 3878.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.16309594 rounded to three dps?\nAnswer: 1.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**4\/2 - z**2 + 11. Factor r(c).\nAnswer: 2*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11414 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*(55\/10)\/(-11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**3 - i**2 + 25*i - 7. Let r(w) = -w**3 - 2*w - 2. Calculate -3*r(u) + t(u).\nAnswer: -2*u**3 - u**2 + 31*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1180, -2359, -3534, -4705?\n\"Answer: 2*o**2 - 1185*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*v = -5*v + 21, 5*i - 2*v = -32. Let x(p) = p**3 + 5*p**2 + p - 3. Let f be x(-4). Let k = f + i. What is the least common multiple of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 - f**3 + 4*f**3 + (-84 + 84 - 4*f**2)*(-11*f - 10*f - 15*f).\nAnswer: 145*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*y - 3065617 = -3066301 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 12*s - 5. Let w be t(3). Suppose 5*j - j - w = 5*h, -2*j - 4*h = 4. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544974.\nAnswer: 2, 3, 61, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -8, -3*a + 0*a = -5*b + 72. Suppose b - 34 = -2*l. What is the smallest common multiple of 25 and l?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.358423 take away 56?\nAnswer: -46.641577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32860 divided by 620\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 850\/1469 + -48\/113. Put j, 27, -0.4, 1\/9 in ascending order.\nAnswer: -0.4, 1\/9, j, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2321\/37 - 8285\/148. Determine l so that 3\/4*l - 3\/4*l**3 - 27\/4*l**2 + o = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1456 and 148.\nAnswer: 53872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 169 + -183.1. Let k = 139 + -124.5. Let f = k + o. Which is the biggest value? (a) 0.3 (b) -1 (c) f (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 46?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 210 + -208. Suppose n*i + 16 = -5*r, 5*i - 18 = -r + 3*r. Let g = 353\/7 + -49. Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 2*g + 25. Let v be y(0). Find the second derivative of v*k**5 - k + 0*k - 7*k**5 - k wrt k.\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/28 - (-6498056)\/(-28))*(-2)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = d - 9 - 271, 2*d + 4*f - 590 = 0. Let g = d + -198. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 + 11*r**2 + 8*r - 12. Let h be m(6). Let y(z) = z**3 - z**2 + z - 40. Calculate y(h).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58 or 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Let i(b) be the first derivative of -9*b**4\/2 - b**3\/3 + 5*b**2\/2 - b + 12609. Calculate i(d) + 2*y(d).\nAnswer: -18*d**3 - d**2 + 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 - 13*n\/2 - 12.\nAnswer: -(n + 2)*(n + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 0.3, 7\/3, -1, 3 in ascending order.\nAnswer: -1, 0.3, 4\/7, 7\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60 in -4\/3, 3, 5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 2:11 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*sqrt(1053).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810 is divided by 87.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40598215 and 8285350?\nAnswer: 405982150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m - 7. Let y be h(-2). Let k = y + 0. Let v(t) = 14*t - 31. What are the prime factors of v(k)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*l + 20, a + 24*l = 29*l + 34. Solve 0 = -51*d + a + 37 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6334467407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 14. Let d be a(-7). Let o = -17 - -17. Suppose o = -d*v + 2*v + 110. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/50)\/(1104\/115 + -9)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, -0.5, 56, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-20)\/j)\/j**(2\/19) assuming j is positive.\nAnswer: j**(-401\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3687 - 5?\nAnswer: 3682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12756*m**4 - 38554 wrt m?\nAnswer: 51024*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 2\/3, -5, -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (2 + -4))\/(-2). Suppose -4*d + 4*x + 24 = h, -d + 3*x = -0*d - 2. Calculate the lowest common multiple of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23242 - 42?\nAnswer: 23200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -438 divided by 1.\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r + p = 8*r - 21*r - 14, -4*p - 21 = -5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50252 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 275868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84224813*t**3 + 3*t**2 - 430216740*t.\nAnswer: 505348878*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(((-6)\/(-54))\/((-7)\/(-63))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 - (-1 - 348\/64) and -5\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783 divided by 28?\nAnswer: 1783\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -22, -28, -30, -28, -22?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + c**2 + 8*c + 19. Calculate a(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.64 and -96.\nAnswer: -61.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -116*w**3 - w**4 + 119*w**3 - 3 - 4*w + 5 + w**2 as a*w**4 + z*w + r*w**3 + u + b*w**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -69*g + 64*g - 1 - 2, 21*g = -42 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8114022 divided by -579573.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1487227969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*g**3 + 5*c**2*g**2*y - 193*c*g**3 + 7*g**3*y + y**4 wrt y.\nAnswer: 5*c**2*g**2 + 7*g**3 + 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 51 = -4*p, 5*p - 3*z = -16 + 44 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mymymmmymymym. Give prob of picking 2 y.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3940*m - 921*m - 111*m - 3750*m + 494*m as z*m + v and give z.\nAnswer: -8228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -633 or -2?\nAnswer: -633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 6 - 1. Let i = a - -17. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50021 (base 7) to base 8.\nAnswer: 27364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1034 * -16.6.\nAnswer: 1.71644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 3*v + 0*v)*(-2*v**3 - 2*v**3 + v**3) + (-3*v + 2*v**3 + 0*v**3 + 2*v + (2 + 0 - 1)*(0*v + 0*v + v**3))*(-5*v - 2 + 4*v + 0).\nAnswer: -6*v**4 - 6*v**3 + v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38020 + 25880 - 101922 - a + 38022.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 7*a**2 - 3*a + 20. Let w be h(7). Let u be w\/2 - (-42)\/(-12) - 6. Let k = u + 10. Solve k = 2*n + 4 - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49753479 divided by 1.\nAnswer: 49753479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*d = 60*d - 1596. Solve d*n + 85 = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 19, -1.\nAnswer: -4, -1, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -11*t + 68. What is d(8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1948042037.\nAnswer: 271, 7188347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4 + 8, -5*s + 2*f - 172 = 0. Let t be s\/(-21)*854\/4. Is (-12)\/(-30) + t\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-3)*m)\/m)**(-20)\/(m**(2\/9)\/m**(1\/7)) assuming m is positive.\nAnswer: m**(2515\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 * -22.\nAnswer: -63.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 60027 = 60075 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1906.\nAnswer: -3\/1906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002 is divided by 257.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 4 + 3 - 7*l as k*l + n and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/12 + 380\/12 - 5. Let i(v) = -13*v - 13. Let j(q) = 1. What is b*j(z) + 2*i(z)?\nAnswer: -26*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 - -176. What is the second derivative of 14 + 11 + 4*u + 47*u**4 - g wrt u?\nAnswer: 564*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/11 and -58\/33371?\nAnswer: 367081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**4 - 9*m**3 + 4*m + 73. Let b(d) = -2*d**4 + 9*d**3 - 3*d - 73. Let u(l) = 4*b(l) + 3*c(l). Find the first derivative of u(t) wrt t.\nAnswer: -8*t**3 + 27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76499084 to the power of 1\/2, to the nearest integer?\nAnswer: 8746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33794 - 8697. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17870*x**2 + 13*x - 631322 wrt x.\nAnswer: 35740*x + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 111405 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2097*o - 4193*o + 2093*o - 131 = -4*f, -f + 44 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 + 10 = 0. Let m(w) = w**3 - 5*w**2 + w + 7. Let f be m(n). Let t be (f*(-1)\/(-2))\/2. Solve -z - 3 = -v, t*v - 3*z = -v + 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234498 + -1707614439\/7282. Find the common denominator of 27\/2 and m.\nAnswer: 7282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*n = -51, 0*n = -2*j + 2*n + 24. Suppose -239 = j*f - 914. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 113047415 - 10?\nAnswer: 113047405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-14) - ((-391)\/(-85) + (-37377)\/7245).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 896335 and 19393.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 292 and 22?\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 0*c + 3\/4*c**4 + 1\/3*c**3 - 77\/2*c**2 - 89. What is the second derivative of t(q) wrt q?\nAnswer: 18*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 - (-2)\/3. Suppose 4*f + 2*s - 14 = 22, v = 5*s + 10. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 + 6*a**2 - 3622*a - 14446. Calculate l(-4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 3:38 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**2\/2 + 925. Let y(s) = -2197*s. Give w(y(c)).\nAnswer: -2197*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1620)\/(-124) - -182*27\/(-378).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436261080.\nAnswer: 2, 3, 5, 37, 98257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**4\/4 + t**3\/3 + 17*t**2 + t. Determine x(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11939 is divided by 2925.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 7) + 17 + (-26 - (2 + -8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 - x - 2. Let h(s) = 5*s**3 - 2*s - 5. Suppose 4*b - 13 = -4*t - t, -4 = 3*b + t. Give b*h(n) + 7*l(n).\nAnswer: -n**3 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g - 19. Give o(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239032\/55 - 4346. Let n be 2*(-3 - 16\/(-5)). Which is the third smallest value? (a) -3 (b) n (c) -2\/17 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -2 + sqrt(153) + 1 + 5)*-5)**2.\nAnswer: 1350*sqrt(17) + 5850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/12 - 166*m**2\/3 + 665*m\/12 = 0. Calculate m.\nAnswer: -665, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/3, 2, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -996*(-37)\/9324 - 4\/(-84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1240 + -1388. Is d smaller than -1638\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/10)\/(6\/10))\/(461\/(-461))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 + 4*m - 10. Let t be n(-3). What is the greatest common divisor of t and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78596948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -4. Suppose 4*c + 2*r + 1 - 13 = 0, 3*c = -5*r + 9. Let o be (1 + 2)*3\/9. Put c, d, o in increasing order.\nAnswer: d, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 229296706*x**4 - 688333877 with respect to x.\nAnswer: 917186824*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, p: 8, c: 2, s: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.88823808 and -1317.\nAnswer: -1315.11176192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 1. Let k be w(-7). Let h(m) = m**2 + 3*m - 8. Suppose 0 = -g + 3*o, -2*o = o - 6. What is the remainder when h(k) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = 3*w - 84, -2*k = -5*w - 123. Solve 5*b - 4*j + k - 4 = 0, b = -3*j + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 1:36 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 + 1 + 10*r - 3*r**2 + 6*r**2 - 11*r - r**2 + r**4 as z*r**2 + o*r**3 + i*r**4 + h + w*r and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 36 - 9. Let y be (g\/(-5))\/(12\/40). Solve -u + y = -7*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.1 - -14. Let u = 1 - -1. What is the second smallest value in u, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123177.\nAnswer: 3, 19, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 34, 5, -36, -89, -154, -231?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*l - 122 + 135, -2*c + 7 = -3*l. Sort 1, -5, 4, c, 11 in increasing order.\nAnswer: -5, 1, 4, c, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*d + 321*d - 127*d as h + m*d and give m.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 617576054606\nAnswer: -617576054600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/13 >= 2\/153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1074, -9038, -30660, -72768, -142190?\n\"Answer: -1138*m**3 - m**2 + 5*m + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c*n**4 + 26*c + 147*n**4 + 19*n - 272 wrt n?\nAnswer: 8*c*n**3 + 588*n**3 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 1 - 1)*(-10 + 9 - 7).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -468 - -435?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -49. Calculate the remainder when 70 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, z: 4}. Give prob of sequence fff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29.7 - -11.1. Let f = -90.3 - -39.3. Let x = a + f. Round x to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 53, 91, 129, 167?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456*m - 306*m + 0 - 2 + 157*m - 1 + 86*m.\nAnswer: -519*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/20 + 848\/20 + 1. Let l be (6 - 2\/(-2))\/((-43)\/b). Is 5 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2211021211 (base 3) to base 16\nAnswer: d93f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.01 + -0.01. Let c = 10 - 16. Let h = c + 6.2. What is the closest to 2\/7 in a, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a*a**13)\/a*a*a**(-26)*a assuming a is positive.\nAnswer: a**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 12488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1014 + 532*t + 1014)*(-8*t**2 + 4*t**2 - t**2) to the form p + r*t**3 + y*t + c*t**2 and give r.\nAnswer: -2660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 22*v + 145. What is the remainder when s(-3) is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 + 100. Let i(t) = t**3 + 4*t**2 - 21*t + 14. What is the hundreds digit of i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47\/14 + 20\/7. Let p = -10670 + 10672. Which is the closest to j? (a) 3\/7 (b) p (c) 0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(-1)\/k))\/(k\/(k**(1\/2)*k*k)))\/(k**(1\/7)*k*k**4) assuming k is positive.\nAnswer: k**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 13*k**3\/3 + k - 120. Let t be (-4)\/(-12) + 2\/(-6). Suppose t = -4*b - y, -b - 2*b + y = -7. What is h(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 30.999935. What is u rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-8)\/(-3))*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 1203?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27569774 divided by 75122.\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/111520 and 57\/44608.\nAnswer: 223040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k**2 - 3*k - 24. Let v(f) = 32*f**2 + 12*f + 107. Let i(x) = 9*j(x) + 2*v(x). Determine i(3).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 11:43 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 235116 + 211\nAnswer: 235327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 7*o**2 + 4. Let t be y(7). Let x = 6 - t. Suppose -7 = -x*z + 69. 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 (-9 - -11)\/((-7)\/(-22) - (-4)\/(-8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 divided by 8763?\nAnswer: 96\/2921","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 32580*r + 1397242.\nAnswer: 2*(r + 43)*(r + 16247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 65*i**9\/504 + i**8\/28 + i**5\/20 - 107*i**4\/8 - 545*i**2. What is the third derivative of l(q) wrt q?\nAnswer: 7800*q**3 + 720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 472*x + 11097. What is g(-25)?\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 20*f**2 + 95*f - 23. Calculate q(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-12)*(-9)\/(-6). Let i = p + 17. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 32743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21760 (base 10) in base 16?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371 and 17172.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 17 = 3*a - 8*a, -5*a + 4*q + 41 = 0. Suppose -20 = -a*r + 25. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 548*l**4 - 7*l**3 + 3*l**2 - 3694*l wrt l.\nAnswer: 13152*l - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8106.974 decades in years?\nAnswer: 81069.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4\/5 + 909*q**3\/5 + 1839*q**2\/5 - 549*q = 0. What is q?\nAnswer: -3, 0, 1, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 + 13006.\nAnswer: 13014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voev when four letters picked without replacement from ooeobbxboxbbooxvovo?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*f + (-1 - 1 + 0)*(5 - f - 5) + (-5 + 5 + f)*(1316 + 626 + 426) + 3*f + 3*f - 4*f.\nAnswer: 2374*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 3*f**3 + 30 + 4*f**2 - 18 as q*f + c*f**3 + o + k*f**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.1, -4\/3, -0.12, 12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 171\/45 - (-1)\/5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30, -9, -94, -237, -450?\n\"Answer: -2*q**3 - 11*q**2 + 8*q + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4530)\/(-326613))\/(10\/14)\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 3*q**3 + 2*q**3)*(1151 - 2291 - 1577*q + 1141).\nAnswer: -1577*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*j = 0, -j = 4*z + 2*j. Solve 2*i + 18 = 2*p, 2*p + z*p + 12 = -4*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -12, 3, 0, 1, 5 in descending order.\nAnswer: 5, 3, 1, 0, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -22. Let t = 23 - c. Does 12 divide (36\/40*-4)\/(t\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -7. Let y be ((44\/(-75))\/(-11))\/((-14)\/(-21)). Which is smaller: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.93480854 rounded to three decimal places?\nAnswer: -1.935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 9:44 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -557753613*f + 263625458.\nAnswer: -557753613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l + 4. Suppose 5*o + l*a - 16 = 0, 2*a = -4*o + 5*a + 22. Suppose -2*f + o*f + 5*s - 150 = 0, -3*f = 4*s - 232. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*p + 38*p**2 + 75*p + 72*p + 113*p**2 - 219*p.\nAnswer: 151*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {g: 6, x: 1, a: 8, r: 1, f: 4}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3*k - 8*k - 55, 58 = 2*r + 7*k. Solve -3*y - 10 = -2*i, 22*i = 25*i - y - r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 36*a = 266460. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) + (-116)\/10. What is the units digit of 1 - (-5)\/((-10)\/k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191516607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:49 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1032034640?\nAnswer: 2, 5, 7, 13, 17, 31, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -6693*n**4 + 381351*n**3 + 791631*n**2 + 412437*n + 8850 = 0.\nAnswer: -1, -50\/2231, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.4 (b) -4382 (c) -1\/2 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-14))\/((-9)\/(-9))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 73*b = -71*b - 30, 6*l = -4*b + 50 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + v = 827 + 624, 5*j + 3*v - 1819 = 0. Let n = j - -1038. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebeewhwwwememeee. What is prob of sequence mm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154552 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**4\/4 - 3*a**3 + a**2\/2 + 9*a - 18. Is 3 a factor of x(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 15. Let p(w) = 3*w + 2690. Let z(q) = -2*d(q) - p(q). Let a(o) = o**2. What is z(a(b))?\nAnswer: -b**2 - 2720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 11:05 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 409056372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(60)\/sqrt(4)*3 + (sqrt(45)\/sqrt(3) - sqrt(15))*1))\/((sqrt(36) - sqrt(4356)*-1)\/(sqrt(96)\/sqrt(72))) + 4.\nAnswer: -sqrt(5)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1647 divided by 183.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.8208 rounded to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -3\/8, 2\/11, 0.3, -0.268, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Suppose -2*g - 22 = -q*g. Calculate the least common multiple of g and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 37. Let a(h) = h**3 + 8*h**2 - 13*h - 15. Let l be a(-9). Let z = l - k. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3016 and -89\/1628?\nAnswer: 1227512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-120))\/((-6)\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 355302114?\nAnswer: 355302114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -471?\nAnswer: 2826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 24.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1731578.065 rounded to the nearest ten thousand?\nAnswer: -1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 + 3*d - 7*d + 27*d to u*d**3 + p + j*d**2 + m*d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 159*s**6\/2 + 11*s**3 - s**2\/2 - 569. Find the third derivative of j(l) wrt l.\nAnswer: 28620*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-340)\/(-16)*(-336)\/420.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 26*v - 22. Determine q(26).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**5\/90 - 229*n**4\/9 + 209764*n**3\/9 + 7805*n**2. Determine c so that x(c) = 0.\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 86.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 48, 125, 274, 519, 884?\n\"Answer: 4*m**3 + m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-5))\/((-2 - 3)\/25). Let b be (-3)\/3*(-16 + i). Let d(j) = -2 + 0 - j + b. Give d(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2147*w**2 - 52*w + 104. Is f(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from hpl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, 82, 171, 284, 427, 606?\n\"Answer: s**3 + 3*s**2 + 55*s - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 3, v: 2, o: 4, b: 3, h: 1}. Give prob of picking 3 b.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 876 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.086 (b) 0.5 (c) 0.3 (d) 257\/99 (e) -3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -421 or -422?\nAnswer: -421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.7, -5 in descending order.\nAnswer: 0.7, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2, 14, 44, 94, 170, 278?\n\"Answer: a**3 + a**2 + 6*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k*k*k\/k**7)**(-1)*(k*k**(-2\/17))**(1\/10) assuming k is positive.\nAnswer: k**(37\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, k: 1, q: 4, f: 1}. What is prob of sequence qfq?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16652664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 670161805*v - 198019627?\nAnswer: 670161805","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -104, -214, -372, -584?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyoygggyo. What is prob of sequence goog?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 - 56 + 47 - o**2.\nAnswer: -o**2 - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 6075657.\nAnswer: -1\/2025219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8171 + 184211. What is f rounded to the nearest 1000?\nAnswer: 176000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l*z - 161934*l + 11479063*z - 2 wrt z?\nAnswer: l + 11479063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68480165 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/3)*x**(-3)\/x)\/(x**(-23)*x)**(-5) assuming x is positive.\nAnswer: x**(-340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/18 + (-32)\/18. Let s = w - -5. Find the second derivative of i - 3*i**3 + 3*i - s*i + i**3 wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60322?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2765718539 to the nearest integer?\nAnswer: 52590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -15. Let g = 49 - 1619\/33. Which is the third smallest value? (a) 2\/9 (b) 0.4 (c) j (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 4046.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 + i**2 - 2*i**2)*(-i**2 + 2*i**2 - 2*i**2 + (-2 - i + 2)*(i - 1 + 1) - 3*i**2 + 2*i**2 + 2*i**2 + 22 - 31 + 16 - 2*i**2).\nAnswer: -12*i**4 + 28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 766535463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 6*t**2 + 5*t + 5. Let z be q(-5). Let o be 37\/z + (-4)\/10. Let g(y) = -y**2 + 9*y - 2. What is the remainder when 35 is divided by g(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 234*o**2 + 119*o**2 + 112*o**2 to the form b + t*o**2 + g*o and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -88*x + 106*x + 90 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21023 - -21344. Which is the closest to 1? (a) k (b) -5 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30015.\nAnswer: 3, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2617535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19.69, -2\/7, 1\/8, -2 in decreasing order.\nAnswer: 1\/8, -2\/7, -2, -19.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7673124 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 25*g + 121. Calculate x(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.028 and -2687138799.584.\nAnswer: -2687138799.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/16 + 39\/(-12) + 3. Let p be (4 - (1 + j)) + -1. Is ((-2)\/p)\/1 + 122529\/94 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24412 (base 13) in base 16?\nAnswer: 10429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2628015497?\nAnswer: 131, 20061187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*c**2 + 1025*c + 122235 = 0.\nAnswer: -29, 843\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + 22430?\nAnswer: 23002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 2. Suppose 8 + 3 = a - 5*c, 9 = -3*a + c. Let j be 8 + (-4)\/(a\/(-2)). Let b be z(j). Solve -h - b = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.25 + -6. Let n = -0.05 + v. Let j = 0.5 - n. Which is the second smallest value? (a) -1\/2 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 + 1452*q**2 + 5*q - 5*q**3 + 1432*q**2 - 26 - 2514*q**2 = 0. Calculate q.\nAnswer: -1, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 8:12 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 96*j + 49. Let i(v) = 291*v + 148. Let q(k) = 8*g(k) - 3*i(k). List the prime factors of q(-9).\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 6, f: 7, m: 2, u: 2}. Give prob of picking 1 q and 1 m.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1 - 2*a - 3 + 3 - a + (a + 2*a - 5*a)*(-4 + 4 - 2) - 3 + 2*a + 3)*(0 + 3 + 2).\nAnswer: 15*a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*t + 18*t = 0. Solve 4*s + 2*o - 2 = -t*o, -5*s = -4*o - 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94446 divided by 6\nAnswer: 15741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/1271 and -1\/155.\nAnswer: 6355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4*sqrt(704) + -2) - (-3 + (sqrt(704) - (sqrt(704) + -2*sqrt(704) + 5))))**2.\nAnswer: 3584*sqrt(11) + 138240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**4\/6 - 2672*z. Let t be 7 - 0\/(-1)*1. Let l(f) = -t*f - 26*f + 0*f. What is l(y(d))?\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1247, -4994, -11225, -19928, -31091, -44702, -60749, -79220?\n\"Answer: 2*b**3 - 1254*b**2 + b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 12. Let u(t) = 4672*t + 2. What is s(u(a))?\nAnswer: -14016*a - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 181.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18625, 74437, 167443, 297631, 464989, 669505, 911167?\nAnswer: 1189963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + h - 2. Let d be z(-3). Let i be (d\/5)\/((-2)\/(-5)). Differentiate -w**2 + 3*w**2 - 2 + 4*w**i wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/(-4)*12\/18*-1. Let b(x) = -33*x - 102. Let g be b(c). Is 62 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5061710.1 greater than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/((f\/((f*f**(2\/43)\/f)\/f))\/f*f*f))\/(f\/(f*f**8)*f)**(-4\/7) assuming f is positive.\nAnswer: f**(-471\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 7*x**6\/15 - 3*x**5\/20 + 14*x**4\/3 + 79*x**3\/6 - 33*x**2\/2 + 7203*x. What is the second derivative of d(i) wrt i?\nAnswer: 168*i**2 - 18*i + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 4:58 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1456 and -87\/208.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(275) + -4 + sqrt(275) + -1).\nAnswer: -12 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + -2)\/(-2 + 28\/8). Let v(z) = -18 - z + z**2 + 0*z**q + 14. Calculate v(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -199 - -197. Let a be (-87)\/(-5) - u - (-100)\/(-250). Suppose -3 = 4*n - 67. Is a smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601*x - 606*x + 277405 = 6*g, -4*x + 221924 = -g. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 6406?\nAnswer: -6387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 10:45 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -734 + -26?\nAnswer: -75a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 17622.1.\nAnswer: -17622.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 3*i**2 - i - 1. Calculate the lowest common multiple of 10 and t(4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 13 = -2*a, 2*z + 0*a + 31 = -3*a. Let i = z + 41. Suppose 5*l + 2 = -i, -5*l = -2*s + 190. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -4*j - 20, 5*j + 7*u = 5*u - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from {d: 3, r: 3, c: 3, i: 1, h: 4, b: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 o when four letters picked without replacement from {l: 1, s: 1, b: 2, o: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/25)\/i)\/i)**14)**(-32) assuming i is positive.\nAnswer: i**(21504\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 32, 3, 11\/14, -85, 2, 2\/7.\nAnswer: -85, 2\/7, 3\/7, 11\/14, 2, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 3:51 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60509047, 60509022, 60508951, 60508810, 60508575, 60508222, 60507727, 60507066?\nAnswer: 60506215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26297864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120802 by 187.\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 6:40 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/73 and 29\/10?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/3403297?\nAnswer: 1\/3403297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 502175, 501951, 501569, 501023, 500307, 499415?\n\"Answer: -o**3 - 73*o**2 + 2*o + 502247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -26 + 312*s + 48 - 299*s + 135. Give n(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r\/(r**(1\/3)*r)*r)\/r))**(-35)*(r**1)**32 assuming r is positive.\nAnswer: r**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 9, -2*t = -2*j + 6 - 20. Let k = -3 - j. Is k\/(-3) - (-74)\/6 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 374*n - 349*n + 844*n + 1456*n to the form i*n + y and give i.\nAnswer: 2325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(84)\/(-2*sqrt(1200)).\nAnswer: -4 - sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0278 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 16*n**2 + 33*n - 1. Let x(w) = 14*w**2 + 36*w - 1. Calculate -5*b(q) + 6*x(q).\nAnswer: 4*q**2 + 51*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20468\/33 - 6830\/11. What is the second smallest value in -0.04, -2\/11, 16, -2\/7, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by (-2 - (-40)\/25) + 64\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 6*s**2 + 7*s. Let n be v(4). What are the prime factors of (-5 - (-56)\/24)*438\/n?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3996283900 - -656\nAnswer: 3996284556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1798.14 to the nearest ten.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4247 - -23150. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3345 or -30094\/9?\nAnswer: -30094\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 136 = -5*o, -5*k + 12*o - 10*o - 62 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136485 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -10 in decreasing order.\nAnswer: 5, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (1 + 11 - ((-124 - -55) + 98)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 j, and 1 s when four letters picked without replacement from asvrvjxjsjv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/(-28))\/(-5))\/(((-2622)\/(-323))\/((-48)\/(-102))).\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88086.\nAnswer: 2, 3, 53, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 7*x**6\/30 - x**5\/60 - 25*x**2. Find the third derivative of q(w) wrt w.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 413 - 108. Let l = v + 73. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = d - 3*d + 8, 4*z + 2 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 522 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 885 = -x. What are the prime factors of x?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3625 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4160 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 - 24*o**2 - 18*o + 3. Is b(32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7 + 24 - 16*y**2 + 18*y**2. Is b(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 93 + (-8)\/4. Let k = -205 + r. Let u be (18\/(-27))\/(4\/k). What is the greatest common factor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 70 = -2*d. Suppose 0 = 141*s - 130*s + 88. Let o be s\/24 - d\/6. Solve o*p = -3*t + 5*t - 6, -6 = -2*p - 4*t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-2)*(-6 + 7). Suppose 11*k = m*k + 30. Suppose 2*v = -c + 102, 5*c - 265 = -k*v - 0*c. What is the greatest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*j**2 - 2 - 35*j**2 - 72*j**3 + 2 + 2*j + 16*j**3.\nAnswer: -2*j*(j + 1)*(28*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2345 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 11 (c) -0.2 (d) 1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/5 or 77574?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -365*d + 397. Determine s(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4075.602 days to milliseconds.\nAnswer: 352132012800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 - 113*i + 2. Let c be h(-8). Which is greater: 1225 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 6:22 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 499275 divided by 105?\nAnswer: 4755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -931 - -1371. Let t(n) = -2*n**2 + 11*n - 3. Let s be t(-10). Let p = v + s. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415\/1328*(-1)\/(-2)*2\/(-5).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eighteen fifths of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.732134 decades?\nAnswer: 207.85608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -16*h**2 + 1\/112*h**8 + 0*h - 1\/35*h**7 + 0 + 0*h**3 + 1\/10*h**5 - 1\/40*h**6 + 0*h**4. Factor x(f).\nAnswer: 3*f**2*(f - 2)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 56*s**5\/5 + s**3\/3 + 19*s. Let m be c(2). Suppose -3*w + m + 1693 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 319 + -319. Factor 0 - 2\/9*d**4 + 2\/9*d**3 + 0*d**2 + i*d.\nAnswer: -2*d**3*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237331654.\nAnswer: 2, 7, 16952261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**4 + 22 - 20 + 0*z**4 + z**4 + z**4 - 6*z**4 + (z - z + 2*z)*(-4*z**3 + 3*z**3 + 3*z**3) - 2*z**4 + 6*z**4 - z**4.\nAnswer: 8*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2359446405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (3 + -4) - -13. Suppose x = -o - 28. Let q = -22 - x. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:43 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 27*g**2 - 7066*g - 2096 = 0?\nAnswer: -8\/27, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -102013 (base 4) in base 2?\nAnswer: -10010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-245))\/((-7908)\/(-118620))?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -356 + 121. Let u = 6 + 12. What is the smallest common multiple of g\/(-4) + 4\/16 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.28 + 0.02. Let l = v - -0.1. Let g = -63.718 + 61.718. Put l, -3\/5, 0.2, g in descending order.\nAnswer: l, 0.2, -3\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:06 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 + 2*v**2 + 2. Determine n(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009126 to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -f + 7, -q + 4*q = 5*f - 63. Let g be 17\/(-2) - 1\/(-2). Let w = g + f. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006072 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 4:26 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -39 (c) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 210 = -2*n - 1373, 313 = k - 4*n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50071945 to the nearest integer?\nAnswer: 7076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.0461 (b) 1 (c) 3\/4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90c (base 15) to base 13.\nAnswer: -c09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72532636 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 5*s + 16. Is s at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-352)\/(-6) - 6\/9. Suppose 70 = 6*c + z. Solve 6*y = 7*y + c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2553 + 3715. Suppose -1484 = -14*q + m. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 37407*d + 32. Let g(i) = 6*i**2. Give l(g(w)).\nAnswer: 224442*w**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 80458564 divided by -10414?\nAnswer: -7726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -7. Let g(k) = 1 - k - k**2 + h*k + 2*k. Calculate the remainder when 1 is divided by g(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjttjuuj. Give prob of sequence ju.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1001011010001100111?\nAnswer: 1001011010001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2937 or 2883?\nAnswer: 2937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3451816 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*d - 6 - 5 = 0, 35 = 3*f - 5*d. Solve k = 5*h - f, -4*k - 4 = -5*h + h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g - 383*g - 17793 = -245*g - 841*g for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.689 - -52.311. Which is the biggest value? (a) 0.1 (b) 2\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -186?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 9:08 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -29 in decreasing order.\nAnswer: 1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*u - m + 53, 5*u - 34 = 2*m. Suppose -3366 = u*l - 26*l. Is 30 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 25. Let i(k) = -k**3 - 2*k**2 - 2*k + 1. Let o(l) = l**3 + l - 1. Let m(v) = -i(v) - 2*o(v). What is m(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*s - 20*s + 12. Let y(o) = o + 12. Let c be y(-9). What is the greatest common divisor of c and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(123\/(-82)*(-1)\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*p**3 - 42*p**3 + 38*p**3)*((3 + 0 - 2)*(2 - 4 + 3) + 2 + 3 - 3)*(0 + 0 + 1) to n*p**2 + t + c*p + o*p**3 and give o.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87967 divided by -10603.\nAnswer: -87967\/10603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1020*b + 10783877 - 10783875 - 9699*b + (5 - 4 + 0)*(b - b - b).\nAnswer: -10720*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-5)*(1170\/(-444))\/13. Let u = v - 109\/148. Which is the closest to -2? (a) -0.2 (b) u (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.094 from -1248.\nAnswer: -1248.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3, t + 2*i - 10 = -0*i. Suppose -x + 6 = -t*x. Suppose -4*g + 2*z + 11 = 1, 0 = -3*g - 5*z + 40. Is x less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54551315*g*h**3 + 42801179*g*h**2 wrt h.\nAnswer: -327307890*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-404)\/(-960))\/(6\/(-3208)). Let x = g + 2066\/9. Find the common denominator of 6\/21 + (-2046)\/840 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0*v + 834. Does 18 divide v\/(-5) - 20\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 845203077?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2, 14, 42, 82, 134?\n\"Answer: 6*y**2 - 2*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c00d (base 14) to base 8.\nAnswer: -213275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5\/9, 1\/2, -5, 1\/3, -9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5388 is divided by 103.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * -278143.4.\nAnswer: -36158.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 251.771 + 0.229. Let j = x - 257. Put j, 24, 2\/7, 5 in increasing order.\nAnswer: j, 2\/7, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 14 = -2*c, -2*c - 3*c - 5*j + 5 = 0. Solve -a + 0*t = -5*t + 10, 3*a = c*t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177219983?\nAnswer: 73, 1483, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 122.68 and 15655520?\nAnswer: 15655397.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 500447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 858 and 156?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394\/(-153)*9\/(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmeemmmemmmmmemmme. Give prob of picking 2 e.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37368 divided by -39.\nAnswer: -12456\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5*40\/1200*-9\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imv when three letters picked without replacement from ppiiippimpivpiipi?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 3*i**5\/5 - 3*i + 12. What is the first derivative of b(v) wrt v?\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 24, 46, 74, 108, 148?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(176)*3 + 0 + -5)**2 - (-4 + 2*(sqrt(176) + (sqrt(176) - ((4*(-2 + sqrt(176)) - sqrt(176))**2 - sqrt(176))) + sqrt(176))).\nAnswer: -776*sqrt(11) + 17581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -0.3, -1, -2\/7, -1.13 in increasing order.\nAnswer: -1.13, -1, -0.3, -2\/7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffff. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-14 - 1)) + -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*f**3 - 57*f**3 + 111*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4223?\nAnswer: 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 = c, 6 = -3*z - 0*z + 4*c. Calculate the lowest common multiple of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r - 0. Let d(j) = -3*j**3 - 4*j**2 - 5*j - 5. Let g be d(r). Suppose -3*x + 26 = -g. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280151\/(-17469) - (-1)\/27.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 25 - 29 = 3*c, c - 17 = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*((sqrt(396)*-1 - sqrt(396)) + -2 - ((sqrt(396) - (0 + sqrt(396))) + -5))**2.\nAnswer: -7963 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 11*y**2 + y - 2. Let a be g(11). Suppose -2*k - 1 = -a. Suppose -k*j = 31 - 87. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -343 + 342.9789. Round a to three dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*o + 106*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -330*m. Let f(y) = -y. Calculate -275*f(s) + o(s).\nAnswer: -55*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -488\/5 + 6281\/60. Let m = -35433\/884 + 685\/17. Find the common denominator of c and m.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 64 + 110. Suppose 0 = b + 4*b - 15. Suppose -2*m + 40 = b*m. What is the remainder when k is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/30*-4 + (-69)\/210. Which is the smallest value? (a) g (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61 + 52 + 15*g - 307*g**2 + 22 wrt g?\nAnswer: -614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 3. Let s(l) = -l**3 + l**2 + l + 12. Let a be s(0). Let u be n(a). Solve 0 = -3*d - 0 + u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y - 3. Let n be a(0). Let p(g) = -g - 1. Let u be p(n). Find z, given that -1\/6*z**u - 1\/6 + 1\/3*z = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jnjnjjjnnjnjjjjnjj.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22, -38, -48, -52, -50?\n\"Answer: 3*v**2 - 25*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3168 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -261471698 and -0.0787037.\nAnswer: -261471698.0787037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**3 + 5*v**2 - 15*v + 23. What are the prime factors of x(5)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -54. Let s be 21\/(-28) + ((-21)\/(-4))\/m. Find the common denominator of -2\/5 and (2 - (-16)\/(-35))\/s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.25 + -0.35. Let j = -0.1 - 3.9. Suppose 21 = r + 19. What is the nearest to -6 in j, r, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 91502300.8 to the nearest one hundred thousand.\nAnswer: 91500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.263838743 rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2250 and 265500.\nAnswer: 265500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 16*j**2 + 71*j + 410. What is the lowest common multiple of 6071 and q(-7)?\nAnswer: 66781","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.1 (b) -2\/3 (c) 1\/4 (d) -636\/5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r. Suppose 4*f - 5*v + 4 = -v, v = 4*f - 8. Let j(q) = -q - f + 3. Calculate b(j(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14292688 a multiple of 712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 90143558 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -453*t + 15584. Determine i(32).\nAnswer: 1088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -638*q**2 - 99*q + 99. Let g(j) = 13*j**2 + 2*j - 2. Let n(i) = -2*c(i) - 99*g(i). Let u(v) = -34*v**2. Calculate u(n(w)).\nAnswer: -4114*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11254892 divided by -4\nAnswer: 2813723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 - 1006*i\/5 + 15876.\nAnswer: 2*(i - 405)*(i - 98)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 456 and 36?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 6:39 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -236?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 181e5 (base 15) in base 10?\nAnswer: 78065","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -2095 - -2103. Solve -2*u = -4*s + d, 3*s = 2*u + 5*s + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-105)*(-6)\/((-180)\/(-75)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 + 87. Does 33 divide (-28)\/c*(-231)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -348ac (base 15) to base 12\nAnswer: -80a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**23))\/z*z\/(((z**40\/z)\/z)\/z)*z*(z\/z**(-3\/19))\/(z\/z**(-17)) assuming z is positive.\nAnswer: z**(-1441\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 105.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9805 (base 13) in base 5?\nAnswer: -1134010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + d**2 - 3*d - 7. Let q be j(-3). Let k = -23 + q. What is the remainder when 26 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/(7\/35)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 93*a + 1625. What is w(60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.2 + -12. Let g = i + -0.8. What is g rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 12663952*i + 10023480016144.\nAnswer: 4*(i + 1582994)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1879 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24984 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-10 + (0 - -9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9733491.\nAnswer: 3, 19, 56921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14695 - -19417.169914.\nAnswer: 34112.169914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-6)*(-32)\/48. Let r = 14\/45 + j. Which is the smallest value? (a) -0.5 (b) r (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = g, -3*g + 13*q - 11*q = -12. Suppose -g*n + o = 6*o - 10407, -2*n - 3*o + 10397 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 3*j + 11 - 7 = -0*c, -3*j = -12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 - 474*m + 242398. Calculate h(-374).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*g**2\/5 + 19978*g\/5 + 444.\nAnswer: -2*(g - 1110)*(9*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) -1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 = -1. Let i = 6 + 2. Put i, h, 1 in increasing order.\nAnswer: h, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 + 26322*z**3 + 105 - 253 - 26324*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.051269 minutes to microseconds.\nAnswer: 363076140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31170069 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, c: 2, r: 8, v: 1}. Give prob of sequence cr.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/21*(-1 + 3 + -35). Find the second derivative of 1 + o*r - 1 - 250*r**3 + 309*r**3 wrt r.\nAnswer: 354*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233 - 44*c - 111 + 58*c - 93.\nAnswer: 14*c + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3067500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11318 is divided by 707.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -3, 144, 0, -1436 in decreasing order.\nAnswer: 144, 0, -3, -4, -5, -1436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2 + 1408*f + 330372 = 0. What is f?\nAnswer: -161, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, 1\/3, 1\/5, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1257703837 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1278930.55 to the nearest 100.\nAnswer: 1278900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) -3 (c) -30 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36\/(-24)*370\/(-3) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2*v + 2 = 0, x - 86 = -v - 87 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*y - 15 = -5*c - 132*y, 0 = -6*c + 4*y + 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)\/(sqrt(4)*-3))\/sqrt(3) - sqrt(49)\/(-5*sqrt(63)\/sqrt(9) + sqrt(7))) + 2 + -5)**2.\nAnswer: sqrt(7)\/2 + 1303\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 21 = -3*w, 0*l = -4*w + 14*l - 13*l + 13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 27137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -15. Let p = 136.86 + -137. Let t = -0.14 - p. Which is the nearest to 2? (a) i (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -39*o**2 + 393*o - 643. What is u(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.26, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**2 - t**3 - 9 - 3*t**2 - 3*t + 2*t**2. Let r(n) = -n**3 - 3*n**2 + 4*n + 8. What is the smallest common multiple of b(-6) and r(-4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -137, -2\/5, -1, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ppppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51 or -390?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + r - 1. Let f(s) = 40*s**2 - 6*s - 42. Let x(m) = -f(m) - 6*g(m). Find the first derivative of x(w) wrt w.\nAnswer: -92*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 14. What is the greatest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294, -475, -676, -897, -1138, -1399, -1680?\nAnswer: -1981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, b: 4, l: 1, x: 2, r: 7}. Give prob of picking 1 r, 1 x, and 1 b.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -236*n. Let t(x) = -44*x. Let v(z) = 3*i(z) - 16*t(z). Let g(y) = -553*y. Determine g(v(p)).\nAnswer: 2212*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30762720169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/5 - 76*i**3 - 1054*i**2\/5 + 2524*i - 17952\/5 = 0.\nAnswer: -187, -8, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101011010011 (base 2) to base 16.\nAnswer: 1ad3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*f - 39*f - 45*f + 172*f - 45*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*z + 59542 + 51420 = 0. What are the prime factors of z?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95280.\nAnswer: 2, 3, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*b**2 + b**2 + 3*b**2)*(0*b - b + 2*b)*(4 - 5 + 3)*(-6*b + 11*b + 2*b) to t*b + x*b**2 + z*b**4 + m*b**3 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7376*s**2 + 1803*s**2 + 1752*s**2 + 1750*s**2 + 2043*s**2.\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from {a: 1, y: 1, e: 4, k: 7, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1832*q - 14636. What is d(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-387*r - 165*r + 25*r)*(2*r - r - 5*r).\nAnswer: 2108*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r - 2*r + 3*r**2 + 3*r + 3*r**2 - 4*r**3. Let o(v) = -5*v**3 + 7*v**2 + 7*v. Let k(p) = 7*d(p) - 6*o(p). Factor k(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -67.425?\nAnswer: 26.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b*b\/b**(-4))\/b)**(-34\/9)\/(b**(1\/7)\/(b*b**9)) assuming b is positive.\nAnswer: b**(-1045\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -9. Suppose h*c = 6*c + 333. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*u - 362, -4*u - 3*c - 74 = -792. Calculate the remainder when 196 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9662?\nAnswer: 2, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uahiawhhxahhhihhawx. What is prob of sequence wai?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a + 15. Let f be (-20)\/30 - (-71)\/3. Let y be (f\/(-26) + 1)*4\/3. What is the second biggest value in y, -2\/25, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/28 (b) 2\/5 (c) 0.3 (d) -6 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + s**3 - 2*s**2 + s**2 + 6*s**3 - 65*s**4 - 8*s**3 - 10 as b*s + l + f*s**4 + t*s**2 + p*s**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 5*w. Let l(z) = 6*z - 232. What is the remainder when l(40) is divided by v(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63.4 + -76.95. Let t = -14 - d. Round t to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.98 - 2.88. Which is the second smallest value? (a) -0.05 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138 (base 16) to base 10\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21958 by 74.\nAnswer: -10979\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**5\/8 - 3*y**3\/2 - y**2. Let i(p) be the first derivative of w(p). Let z(h) = 3*h. Give z(i(o)).\nAnswer: -45*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29212224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 620404253*z + 141444041 with respect to z.\nAnswer: 620404253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11596370249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 381449, 762796, 1144143, 1525490?\n\"Answer: 381347*g + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 59 + -7 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 177532.98 to the nearest one hundred.\nAnswer: 177500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 286358652 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 960*p - 133 = 953*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1.7 (c) 317 (d) 2\/195 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010010001101 (base 2) in base 8?\nAnswer: 102215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(10\/3)*u**0 assuming u is positive.\nAnswer: u**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 27*h**3 + 11*h**2 - 29*h + 20. Is s(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 1711135804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 166 and 34.\nAnswer: 2822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 36*q + 123. Determine i(39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16.61 in 2\/13, 2, -2\/7, -82?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15363, -15373, -15397, -15441, -15511?\nAnswer: -15613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015047 rounded to four decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7500924 kilometers in nanometers?\nAnswer: 750092400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 112848, 112817, 112766, 112695, 112604, 112493, 112362?\n\"Answer: -10*a**2 - a + 112859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 113 - 69 = 0. Let u be (-1 - -2)\/(-3*(-1)\/39). What is the highest common factor of u and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -1, -3, -5, 4, -12\/17 in descending order.\nAnswer: 47, 4, -12\/17, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(3 + sqrt(320) + sqrt(320) + -1) - (5*(2 + sqrt(320)) - ((sqrt(320) - (sqrt(320) + 2)) + 4))) + 4)**2*-4.\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -2113.\nAnswer: -2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 4*l**2 + 2*l - 2. Let x be n(-3). Is x <= 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006654 + 5738?\nAnswer: 5738.006654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4736 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 17. Let f be s(-8). Put f, 5, 3 in decreasing order.\nAnswer: 5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -46721\nAnswer: 1\/46721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2921 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 8 - 65*u - 5*u**2 + 36*u + 35*u. Let p be c(-6). Let y(h) = -h**2 - 9*h - 11. Calculate y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33613091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 + 1. Let a be p(1). Calculate the remainder when 29 is divided by (a\/(-4) + 0)*16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/15)\/p)**(-10) assuming p is positive.\nAnswer: p**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1740\nAnswer: 1\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -685 + 684. Let w(z) = -780*z**3 - 8*z - 8. Does 52 divide w(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7898627, 7898642, 7898673, 7898726, 7898807, 7898922?\n\"Answer: w**3 + 2*w**2 + 2*w + 7898622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**6\/d)**(-12))**(-8))**(5\/12))**35 assuming d is positive.\nAnswer: d**8400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/33 + (-2566)\/(-770). Let p = -37\/7 - y. Find the common denominator of p and 39\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2847884 rounded to the nearest one thousand?\nAnswer: 2848000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*l - 14, 20 = -o - 2*l. Let a be (-3)\/((-81)\/o)*-198. What is the highest common factor of 363 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 3, -89?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*z - 4*g, -z + 8 = -5*g - 1. Let v = -29 - 25. What is the lowest common multiple of (2 - v\/z) + (-6)\/12 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n. Let l(s) = -178*s + 80. What is v(l(x))?\nAnswer: -1068*x + 480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -36991.7 to the nearest 1000.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 225173025, 450346050, 675519077, 900692106, 1125865137, 1351038170, 1576211205?\n\"Answer: p**2 + 225173022*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/4 + 43797*g**2\/2 - 87585*g + 87582.\nAnswer: -3*(g - 29194)*(g - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27392 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 2:22 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 45, 59, 77, 99, 125?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 7*w + 7*w)*(-2 + w + 2) - 2*w**2 + 2*w**2 - w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703821 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093 less than -0.801?\nAnswer: -0.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x**3 + 20*x**2 - 2*x + 1. Let c be b(2). Sort c, -56, -4 in ascending order.\nAnswer: -56, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 7905.\nAnswer: -2\/7905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2112 and 91839?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*n - 109*n - 240 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6628ns in milliseconds?\nAnswer: 0.0000006628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-6))\/(-5)*6\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 15 + 9 = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-503151)\/(-132))\/((-2)\/(-32)). Suppose 4*t - 48782 = -2*z, -5*t + z + w = -0*z. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -16*h**4\/5 + 8*h**3 + 31*h**2\/5 - 22*h\/5 + 3\/5 = 0.\nAnswer: -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.404359 seconds in nanoseconds?\nAnswer: 7404359000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.929 + -7.029. Which is the closest to q? (a) 2 (b) 0 (c) 9 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-20 - -28 - 10)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 637151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60014 by 4.\nAnswer: 30007\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g - 1. Let w(c) = -c**3 - 24*c**2 + 51*c + 56. What is the remainder when w(-26) is divided by a(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - (-1 + 3 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*t**3 + 8*t**3 - 3*t**4 - 2*t + 5 - 29*t**3 + 6*t**3 - t**2 in the form w*t**2 + j + p*t**3 + m*t + c*t**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18758357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 19*p + 8. Let o(x) = -20*x - 7. Let r(y) = 5*b(y) + 4*o(y). Is 21 a factor of r(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 7*y**2 + 2. Let j be m(-7). Suppose -a + 319 = j*w, -2*a = 5*w + a - 800. What are the prime factors of w?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -290 + 192. What is the common denominator of (-4)\/8 - s\/6 and -109\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001101011011111 + 12?\nAnswer: 2001101011011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 4*i**3 - i**3)*(-6*i + 2*i + 3*i) - 6 + 580*i - 580*i + 2*i**4.\nAnswer: i**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8*i**2 + 51*i - 10. What is q(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-4 - -8) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 11:50 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4854)\/(-60675))\/(1\/175) - 296\/2.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -25.\nAnswer: -25, -8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 535 - 497.1. Let v = x + -32.9. What is the closest to -1\/4 in v, 2, -1\/2, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4862171945 to the power of 1\/3, to the nearest integer?\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101011 - 1011011101000010?\nAnswer: -1011011111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrbbu. Give prob of sequence br.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/8)\/(3\/(-2)). Let s = -3 + 4. Is p at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156*f*o**2 - 249*f + o**2 + 3*o wrt o.\nAnswer: -312*f*o + 2*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**3 - 2*r + 7. Suppose -21 = -v - 2*v. Let k(s) = -10*s**3 - 3*s + 10. Let d(h) = v*a(h) - 5*k(h). Determine d(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98690 divided by 10\nAnswer: 9869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 47, 3.\nAnswer: -69, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 1238\/6247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/28)\/((-18)\/84)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133813632 divided by 696946.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*y + 7*y**3 - 10*y + 4*y + 23*y**2 wrt y.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.69371 months to millennia.\nAnswer: 0.0013911425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 19648*i - 19648*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119072410 and 19640?\nAnswer: 4910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.04, -1\/3, -4, 0.5, 3.4, -0.0538?\nAnswer: -0.0538","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8610, 17328, 26040, 34746?\nAnswer: 43446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 55 (b) -1\/7 (c) 0 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9732257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60 - -27237070?\nAnswer: 27237150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6286063 is divided by 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 255. Let y = g + -70. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -29*v**4 - 62*v**3 + 11*v - 390. Let z(t) = -10*t**4 - 21*t**3 + 4*t - 130. Let p(b) = -4*f(b) + 11*z(b). Differentiate p(x) with respect to x.\nAnswer: 24*x**3 + 51*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 1360. Let m(g) = -4615*g. Determine m(n(l)).\nAnswer: -9230*l**2 - 6276400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**6\/20 - n**5\/60 - n**4\/24 - n**3\/3 + 10*n**2. Let y be (-1 - -2)*4\/2. Does 21 divide u(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.22 - 0.72. Which is the second smallest value? (a) -2 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 7:10 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.96 times -0.057\nAnswer: -0.22572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1113260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (11 - (-142 + 134 + (0 - -8))) - 26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1702010 or 0.04?\nAnswer: 1702010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*c - 2*c + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*t - 277*t + 98*t = -78*t - 27 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -51*r**3 + r**2 - r. Let d be o(1). Let l = 55 + d. Solve 5*n = -x + 16, l*x = 2 + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 51*k**2 - 56*k - 12. Is m(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 417*h**2 + 5*h + 1. Let t(i) = -417*i**2 - 6*i - 1. Let n(x) = 4*p(x) + 3*t(x). List the prime factors of n(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*k + 1989 = 28009, 5*y - 26041 = 2*k. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312 (base 13) to base 15.\nAnswer: -24c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1109268.62 to the nearest one hundred.\nAnswer: -1109300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 * 15\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - -86. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 6*v + 12. Let m be k(-7). Let b be (-1 - -1)\/(4\/(-2)). Let r = 139596 - 139594. Solve b = -r*o + 2*d - 6*d - 10, -m*o = 5*d + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -457 - 114?\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7541544 millennia in decades?\nAnswer: 75.41544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*p**3 - 368*p**3 - 1684 + 170*p**3.\nAnswer: -2*p**3 - 1684","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 4999*a**2 + 49940*a.\nAnswer: a*(a - 9988)*(a - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -33+-14169.06540571\nAnswer: -14202.06540571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6\/17 (b) 27 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 8:16 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u + 6. Which is the smallest value? (a) -11 (b) -0.3 (c) -1\/4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111456 - -167561. What is the ten thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10142860 to the power of 1\/2, to the nearest integer?\nAnswer: 3185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(153)*-1)\/sqrt(9) + (sqrt(102)\/sqrt(2))\/sqrt(3) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-37)\/148 + 3733\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n. Is 0 + (n - -112) + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10.3 and -0.21216.\nAnswer: 10.08784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48260?\nAnswer: 2, 5, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 92710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*(22\/(-4) + 5). Let u be -1 + h\/(54\/21). Factor -1\/3*s**5 - 7\/3*s + 8\/3*s**3 - u + 2\/3*s**2 + 2\/3*s**4.\nAnswer: -(s - 4)*(s - 1)*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22, 1458\/5, 0.95?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/3 + -1 + -2. Let l be (2 + a)\/((-3)\/(-6)). Solve n = -3*r - l, -4*n - r - 6 = r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qjqffqqbqrbjff?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3.1. Let m = -5.1 - -1.1. What is the closest to c in -2\/11, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627 = -4*s + u - 4*u, 307 = 2*s - 5*u. Suppose 2*h - 12 = 2*i, -i - 3 = -3*h + 17. Suppose h*a - 10*a + s = 0. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - v + 0*v)*(9 + 5 + 19) + v + 6*v - 3*v + 3*v as i + y*v and give y.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(38\/((-2584)\/(-1275))))\/((-26)\/(-5)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5066, -5005, -4942, -4871, -4786?\nAnswer: -4681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 9*n + 0*n - 797 + 797 + 3*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 191.\nAnswer: 5\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4*c - 86 = 0, 35*c + 22*c = -3*n + 58*c + 149 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4758661 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + sqrt(448) + -1.\nAnswer: -1 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65339\/180 - -363. Let q(t) be the third derivative of 2\/9*t**3 + w*t**5 + 2*t**2 + 0*t + 0 - 1\/18*t**4. Factor q(f).\nAnswer: (f - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c**3 - 5*c - 11. Let p(t) = 13*t**3 + 11*t + 22. Determine 3*p(l) + 7*q(l).\nAnswer: -3*l**3 - 2*l - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584.3447 kilograms to grams.\nAnswer: 584344.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 353897167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*n**3*y**2 + 6052*n**3*y - 3*n**2*y**3 - 14*n*y**3 - 2*n*y wrt y?\nAnswer: -10*n**3 - 18*n**2*y - 84*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21142467397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 265864*q**2 + 10020*q - 2004. Let a(x) = -663*x**2 - 25*x + 5. Determine -2004*a(z) - 5*f(z).\nAnswer: -668*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -315*c**3 + 1 + 317*c**3 - 18 wrt c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 492 and 26896.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (819\/(-78)*4)\/((2 - (3 + 0)) + 0).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (12 - 5 - (7 - -7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159 - 91. Suppose -3*m - k = -14. Let i = m + 22. Let s(y) = -2*y**2 + 5*y + 4. Calculate s(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -4, -1, 16346 in ascending order.\nAnswer: -4, -3, -1, 1, 16346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458294161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8269462 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = 3. Suppose v + g = 5*v + 4, -5*v + j*g = 5. Let l(n) = -4*n. Let k(u) = -26*u. Let o(y) = 6*k(y) - 44*l(y). Give o(v).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -129990\/13 or -9999?\nAnswer: -9999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5027\/6 or -0.31?\nAnswer: -5027\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24270685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-9))\/(1\/3). Let h be (-348)\/(-203)*(5 - 19)\/(4 + 0). Which is the third biggest value? (a) 0.4 (b) h (c) -4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 4*s**6\/45 + s**3\/6 + 6*s**2. Let p(j) be the first derivative of k(j). Let x(t) = -2*t**2. Give x(p(w)).\nAnswer: -2048*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 399.882327 + -417.88238. Let g = 18 + c. What is g rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*p - b, 2*p - 5*b + 2*b - 39 = 0. Find the first derivative of -10*j - 6*j - p - 8*j - j wrt j.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 12:04 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 46 + 3 + (4 - 4 - -4).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5. Suppose 0*l - 3*l - 5*p = -31, -4*l + 4*p + 20 = w. Solve 2 = -c + l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-6)*((-144)\/(-10))\/(-4). Suppose -i*u + 39356 = -154444. Round u to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 0.1524.\nAnswer: 1.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -289 + 168. Let c = 123 + l. Suppose -c*u - u = 153. Sort u, 5, 0 in decreasing order.\nAnswer: 5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 0 + 1\/60*v**5 + 0*v**4 + v**2 + 0*v + 0*v**3. Let j(h) be the second derivative of -h**3 - h. Give q(j(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*h + y + 2*y, -2*h + 18 = 3*y. Suppose h*p - 32 = -0*c + 5*c, 0 = 4*p + 4*c. Differentiate -1 + k**p + 8*k**2 - 8*k**2 wrt k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-26)*g*g**(-2)*g*g**(-3\/20)*g**(1\/3)\/g*g assuming g is positive.\nAnswer: g**(-1489\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 6)\/(-3 - -1). Suppose m = -33*g + 38*g - 10. Suppose 3*w - w + 5*p = -3, g*p = -2*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177697 is divided by 5662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 = 6*s - s, 5*m + 5 = 4*s. Determine n so that 0*n + s + 1\/4*n**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29591 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 33843 = 3*c, c - 5*c = -f + 11272. Suppose -q = -a + 8397, -a - 3*q - 2883 = -f. Let l = a + -3878. What is l rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12 = -3*p - 3, 2*p = -4*z + 10. Suppose u - 4*r = 95 + 136, 0 = 5*u - z*r - 1245. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2471*h*l*q*w**2 + 2*h*l*q*w + 7*h*l*w**2 - 345*h*q*w**2 + 1307753*h*w - 4*l*q*w wrt w?\nAnswer: -4942*h*l*q + 14*h*l - 690*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 5:25 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -110*c**2 + 570*c - 7. Let y be q(5). Do 88 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/((3420\/38)\/(-45))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/188 and (-101)\/(-20) - -21*3\/(-9).\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w**3 + 125*w**2 + 53*w - 576. Give g(21).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 7}. What is prob of sequence vvk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*y = 4*y + 8, 0 = 5*c - 3*y - 13. Let i be 7\/(1\/((-8)\/(-140))). Factor 4\/5 + 2\/5*p - i*p**c.\nAnswer: -2*(p - 2)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 5*h + 13, 615*p - h = 617*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**4\/24 + l**3\/6 - 277*l**2. Let n = -52 - -51. Let c = 1 - 2. Let j(g) = -g - 4. Give c*j(o) + n*x(o).\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tncpttpppnppcnnpo. What is prob of picking 1 t, 1 c, and 1 o?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183 and 3789564.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 7 - 2 + 1 - 1 + 2 + (-2 + 3 + 0)*(2 - 2 + 1))*(4 - 5 + 0)*(-76*d - 148*d - 139*d) to the form p + n*d and give n.\nAnswer: 2541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -235.6 - -258. Round b to 0 decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 21 = -n. Let v(c) = -c**3 + 8*c**2 - 4*c - 7. Is v(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11518.2 - 11518. Which is smaller: 4.106 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/20 - 828\/(-2070)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/112)\/((-28)\/336).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.3784.\nAnswer: 0.3784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 549.6 + -549. Which is greater: 4\/65 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3144.9980984 - -3145. What is r rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 2247*o**3\/2 + 4751*o**2 + 2282*o - 1. What is the derivative of d(k) wrt k?\nAnswer: 6741","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/24*-3*(0 - 0). Solve k - 3 = -d*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-788)\/(-10) - 3\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.8 - -5. Which is the second biggest value? (a) g (b) -3\/4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 32?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2 + x - 6. Let h(g) = g + 15. Let o be h(-8). Let w(k) = 6*k**2 - 2*k + 7. Let p(m) = o*v(m) + 6*w(m). Let c = 13 + -8. What is p(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27290908 to the nearest integer?\nAnswer: 5224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 15 = -f. Suppose -2 = -0*q + 2*q. Sort 0, q, f in descending order.\nAnswer: 0, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 23?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 416, 5, -2, -4\/85 in ascending order.\nAnswer: -2, -4\/85, 5, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5548 - 9803 = -538*v - 1562 + 10421 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -6*y + y, -28 = -y + 5*n. Let s = 194 + -137. What is the highest common divisor of s and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9750 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -17. Solve d*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/(-1 + 0\/(-2)). Let l = t + -13. Suppose -97 = -2*p + 59. Calculate the remainder when p is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*v + r - 4*r, 4*v - 3 = 3*r. Suppose -v*w - l = -3, 0 = 2*w - w + 3*l - 1. What is the greatest common factor of 8 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(39)\/sqrt(3) - sqrt(13)) - (1 + sqrt(1053)))**2.\nAnswer: 18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16004, 16021, 16058, 16115?\n\"Answer: 10*t**2 - 13*t + 16007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7699183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*v - 19*v - 15*v)*(2*v**2 + 3*v - 3*v) to a*v**2 + d*v + y*v**3 + j and give y.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 85. Let r = q + -21. Is 0 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0082735 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13232 + 13231.788. Which is the third smallest value? (a) 0.1 (b) 12 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 9*p**2 - 10*p - 15. Let h be g(-10). Let i = h + 19. Solve -4*v - 3 = -5*d, 3*d - i*d - v = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.208 times -3\nAnswer: 3.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**3 - 12*u**3 - 42*u**3.\nAnswer: -38*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -3. Let v = -2 - s. Determine p so that 0*p + 0 + 1\/4*p**v - 1\/4*p**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**3\/3 + m**2\/2 + 3*m. Let j be b(-1). Let v(r) = -3*r - j*r + 7*r. Let n(s) = 3*s**2. Determine v(n(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 695742*t**3 + 10428*t - 54.\nAnswer: 4174452*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 65*s**2 - 32*s + 4. Let j be l(32). Suppose 4*b = -5*x + 2226, -3*b + 2021 = -j*x + 367. Round b to the nearest ten.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnnnnnznnnzn. What is prob of picking 2 n?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 136805.\nAnswer: 957635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -364\/110869 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3427?\nAnswer: 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-2)*112\/49. Suppose 80 = 2*r - 5*o, 0 = r + 2*o + 3*o - 40. Calculate the greatest common divisor of r and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**3 - 10*k**3 - 4 - 8*k**3 - 3.\nAnswer: -4*k**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 times 195608?\nAnswer: -15844248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-55)*125\/(-90)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1386 and 836?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 14*v - 36. Let u be b(-4). Suppose 0 = -2*w + u, w = 3*h + 5*w - 14. Solve -h*m - m = 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 210*q - 208*q. Suppose -2*l - 4 = 2*c, 2 = -2*c - 6*l + q*l. Factor -3\/2*x + c + 0*x**2 + 3\/2*x**3.\nAnswer: 3*x*(x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 49 = -2*d - 4*r - 37, -9*r - 82 = 5*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: b\"What is the cth term of -3, -5, 9, 51, 133, 267?\n\"Answer: 2*c**3 - 4*c**2 - 4*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 k when four letters picked without replacement from kyyyyyykykyyyyy?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1368395 and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4509.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 x when four letters picked without replacement from zmzzxmmxzzzmxzzmxzm.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/138334629 or 0?\nAnswer: 2\/138334629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 28. Let a(u) = 6*u - 5*u + 0*u + 0 - v. What are the prime factors of a(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 448, 818, 1034, 1018, 692, -22?\n\"Answer: -13*o**3 + o**2 + 458*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*o - 27 = 0, 0*o + 3*o = 4*z - 40. Suppose -z*w + 3*w = -2*t + 50, 32 = 2*t + 5*w. Let n = 40 - t. What is the remainder when 73 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -42, -88, -140, -198, -262?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.258 + 0.248. Let w = -6 - -11. Suppose 5*k = 2*u - 27, -3*u + w*k + 14 = -14. Which is the third biggest value? (a) -3 (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -33\/10*l**2 + 3\/25*l**5 - 29 - 12\/5*l - 9\/5*l**3 - 3\/20*l**4. Factor o(h).\nAnswer: 3*(h - 4)*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -57, -5, -2 in descending order.\nAnswer: 5, -2, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f + 6142*f**3 - 47*f**2 - f - 22 - 6140*f**3 wrt f.\nAnswer: 12*f - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 118529 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -7*i**3\/6 + 3*i. Let s(d) = -d - 5. Let a(u) be the first derivative of u - 3. Let n(p) = 5*a(p) + s(p). Give n(c(l)).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/5*g + 1\/5*g**5 - 8\/5 - 29\/5*g**2 - 11\/5*g**3 + 1\/5*g**4.\nAnswer: (g - 4)*(g + 1)**3*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 5:19 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 294*n**3 - 1066*n**2*z - 160*n*z + 143802576*z wrt n?\nAnswer: 882*n**2 - 2132*n*z - 160*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.83775 - 5.163. Let z = -6 + 0. Let l = z - w. Round l to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/11 - 1019064*s**2\/11 + 129810410442*s\/11 + 259624897156\/11.\nAnswer: 2*(s - 254767)**2*(s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:21 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24580507.\nAnswer: 7, 311, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 71220 = -14*c - 4*s, -5*s + 14244 = c. Let h = -7775 + c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-168)*7\/(-4)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 102*j**2 + 12*j + 25. What are the prime factors of a(-3)?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -28*i - 6. Let g be x(-1). Which is the closest to 2\/7? (a) -4\/5 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**3 + 5 - 2*n**2 + 2*n**2 + 6*n**3 + 0*n**2.\nAnswer: -8*n**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(3) - sqrt(75))**2 + 2 + sqrt(147))*4.\nAnswer: 28*sqrt(3) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222122 + 320?\nAnswer: -221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxqqqexxxxqsxqqqsxxq. Give prob of picking 2 x.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q - 12. Let d(v) = -56*v - 13. Determine d(c) - 5*t(c).\nAnswer: -31*c + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b40 (base 13) in base 16?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 10*l**2 + l + 13. Let b be s(-10). Suppose -4*z - 30 = -2*u, u + z - 33 = -3*u. What is the greatest common divisor of b and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x - 2*a + 18 = -29*x, 40*a = -4*x + 140 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 29.29. Let g = x + 0.11. What is the nearest to -2\/3 in g, 1\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*r - 92 = -584 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-27 - (-40 - -47)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by 26\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1 - (-2 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 + (3 - 1) + -3. Let i be (3\/g)\/((-4)\/(-20)). Which is the closest to -0.1? (a) -2\/3 (b) i (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10482 + 10517.0175. Let q = x + -35. What is q rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and 47 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -53, -96, -165, -266?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13978932 and 34947330?\nAnswer: 69894660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3366348 and 96.\nAnswer: 26930784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43141011 (base 5) to base 15.\nAnswer: -732c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 6, 1\/3, -1 in ascending order.\nAnswer: -6, -1, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p - 273 + 66*p + 273.\nAnswer: 83*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (83 + 94 + 1)*(-z + 2*z + 0*z)*(7*z**2 + 17 - 17) to a*z + q*z**2 + g + m*z**3 and give m.\nAnswer: 1246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1082 divided by 2.\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -26*t**2 + 1377*t + 1422. Calculate u(54).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -882 divided by -2.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4046 + 6901. What are the prime factors of h?\nAnswer: 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 0.1727030121?\nAnswer: -0.2727030121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4426743718 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 + -102. Let f be (o\/10)\/((-348)\/45 + 8). Factor f*y - 9\/4 + 3\/4*y**2.\nAnswer: 3*(y - 1)*(y + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12447 and 675.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 + 4*m**2 - 4*m**2 + 0*m**4 - 4*m**4 - 5*m**4 + (-4 + 5 + 1)*(-2*m**4 + 3*m**4 - 3*m**4) to s*m**2 + d + n*m + x*m**4 + v*m**3 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1595 + 1630. Calculate the highest common divisor of v and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(24\/9)*(0 - -2). Let m(a) be the first derivative of -2\/3*a - r*a**2 + 1 - 7\/9*a**3. What is z in m(z) = 0?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 97?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11664291.\nAnswer: 3, 211, 18427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383944, 383956, 383968, 383980, 383992?\nAnswer: 384004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 7\/3*p**3 - 1\/4*p**4 - 7\/2*p**2 - 2*p - 7. Suppose 15*z = 2*z + 65. Determine a(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkeeveedveievv. What is prob of picking 1 i and 2 v?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/21882423 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2*m = -12. Let l = 3.9 - 4. Which is greater: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1819636053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478 - 53 = 5*h. Suppose 0 = 2*m - 0*m - 34. Calculate the greatest common factor of m and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -327 + 1978. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185000, -185001, -185002, -185003?\nAnswer: -185004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -363?\nAnswer: -1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 686322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(117\/(-27)))\/(567\/(-54)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001083347 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*c - 16992 = 239*c for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 494312176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2\/2 + 2501090*a + 625545118810.\nAnswer: 5*(a + 500218)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 90*b + 1770. What is w(-68)?\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17133 is divided by 2854?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 6 = 5*t - 5*i, 3*i + 4 = 4*t. Let b be 27\/(-3)*t\/6. Solve -b*y = y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(((-2)\/(-4))\/(0 - -1)). Let y(r) = -4*r + 5. Let q(c) = 5*c - 6. Calculate l*y(x) - 3*q(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 54*b + 19 - 82*b - 41 + 19 as l*b + c and give l.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45515000 a multiple of 467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -5*v - 0*v + 4, 3 = -m + 2*v. Let h(d) = -d**2 + 7*d - 5. Let s be h(4). Calculate the greatest common factor of m and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + -4. Let h(b) = 7*b - 179. Let r be h(31). Let s = r + w. Solve z = 2*z + s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60778577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3920842 is divided by 97.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l**2. Let t(b) = 52*b**2 - 79*b**2 - 57*b**2. Give v(t(f)).\nAnswer: -63504*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, 39443, 0.2, 0.1, 0 in decreasing order.\nAnswer: 39443, 0.2, 0.1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 - a**2 - 4*a + 2. What is the tens digit of k(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 + (-91)\/(-3). Let i = -15 + w. Suppose 0 = 3*f + i, h - f + 6 = 33. What is the lowest common multiple of 4 and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -40898*k**5\/15 - 6419842*k**4\/15 + 116657104*k**3\/15 + 562768952*k**2\/15 - 15810176*k\/15 + 22144\/3 = 0.\nAnswer: -173, -4, 2\/143, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -182 in -11, -1\/8, 0.3, -1653, 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 314082.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 8:08 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 151741104, 303482215, 455223326, 606964437, 758705548?\n\"Answer: 151741111*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 13 + 3*u + 35 - 64.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*k**5*n**3 + 76772*k**5 + 26877*k**2*n**3 - k**2*n - 10*k*n + 6*k wrt k?\nAnswer: -4560*k**2*n**3 + 4606320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2189757, -2189766, -2189779, -2189796, -2189817, -2189842, -2189871?\nAnswer: -2189904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in -5, -2\/5, 0, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*b - 53*b + 63*b)*(-3*b - 2*b + 4*b) + b**2 - 2*b**2 + 3 + 2 to i*b**2 + l + k*b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -88*c**3 + 2*c**2 - 1. Suppose -5*d - w + 5*w + 3 = 0, -5*w - 9 = -d. Let s be k(d). Let v = s - 64. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 6\/1203625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 23 = -5*c, -18*c + 21*c - 5*l + 19 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2325)\/(-180))\/31*-2\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k - 4*k + 2*k + (-1 - 3 + 2)*(-3*k - k + 13*k).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.560501 months to decades.\nAnswer: 0.063004175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 70396 and 2306?\nAnswer: 68090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 0*h**2 - 2*h**3)*(h - 2*h**2 - h) + (3*h - 3*h + h**3)*(12*h**2 + 0*h + 8*h - 5*h).\nAnswer: 16*h**5 + 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((10 + -16 - -1) + -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 984 and 192306810.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 - -115. Sort 0, -1, y in increasing order.\nAnswer: -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*g**3 - 229*g**3 - 16*g**3.\nAnswer: -291*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 12 + 4. Suppose 0 = 21*s - 23*s. Suppose s*o - 40 = -x*o. Put o, 2, 3 in decreasing order.\nAnswer: o, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7476089557299 and -4.1.\nAnswer: -4.8476089557299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -80854*r + 1051098. Calculate d(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.513, 34, -3855?\nAnswer: -0.513","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*v + 8 = -13, 2*v - 42 = -5*s. Suppose -5*d + s*d = 15. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 22*b + 0*b)*(-2*b**2 + 4*b - 4*b) - 54*b**2 + 14*b**3 + 54*b**2 + (2 - 2 - 2*b)*(0*b + b**2 + 0*b).\nAnswer: 54*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*z + 1)*(36*z - 13*z**2 - 36*z).\nAnswer: -26*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 157 = 83. Suppose 4*z + 12 = j. Suppose f = 3*m + 2*m - 20, z*f + 5*m = 40. Solve 0 = 4*l - f*n - 1, -l + 4*n - n = 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 + -91. Let n = d + 20. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let f(z) = 6*z**2 + 15*z - 120. Let t(u) = -7*u**2 - 16*u + 141. Let b(j) = -5*f(j) - 4*t(j). Calculate b(g(r)).\nAnswer: -8*r**2 - 22*r + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + (56 - -30) + -34.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 3. Let g be b(-3). Suppose 0 = -q - q + 3*d - 13, 2*q - d + 7 = g. Let o be 0\/2 + 6\/(-4). Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 - 48*j - 170. Give o(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4 - 21. Suppose s*z - 4 = 3*k + 2, -z + 6 = k. Suppose -n = r + k, 2*r - 2 = -6. Put 2, n, 5 in increasing order.\nAnswer: n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = -81*x + 139 + 132. Factor -2\/5*s**4 - 4\/5*s**3 + 0*s**2 + 0*s + x.\nAnswer: -2*s**3*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.013 times 0.1?\nAnswer: -0.7013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**4 + 2*g - 2*g + (-12 + 12 - 30*g**3)*(-5*g + 2*g + 4*g) to i*g**3 + y*g**2 + q + c*g**4 + o*g and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -16*y - 423*y + 12 - 9. Is o(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggugu. What is prob of picking 4 g?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*k - 139, -5*k - 278 = -3*f - 67. Solve -10*h - f = 8*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -169809.35331 + 169053.35. Let g = -756 - s. What is g rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233533 is divided by 4263?\nAnswer: 3331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -30346*n - 1274568. What is o(-42)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, y: 5, w: 5, v: 1, n: 5}. Give prob of picking 2 y.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o + 5. Let w(a) = -7*a - 6. Let k(q) = 4*v(q) + 3*w(q). Let b(u) = -u**2 + 1. Let y be b(-2). What is k(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -5, 5, -11 in descending order.\nAnswer: 5, 0, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2155, -2153, -2149, -2143?\n\"Answer: o**2 - o - 2155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32068224 divided by 3.\nAnswer: -10689408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/5, 1\/5, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -81537675, -163075352, -244613029, -326150706, -407688383, -489226060?\n\"Answer: -81537677*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.52 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 + 66 + 42 + -9 + -2 + (2 - 143)?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = n - 184 + 75, 0 = 5*n + 4*f - 541. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52695313 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4313775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/135 and -23\/795.\nAnswer: 7155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) 4 (b) -1 (c) -0.1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 91*h + 94*h = -23, 3*s - 2*h - 22 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 12 + 12 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k + i + 463 = 0, -2*k - 55 = 447*i - 442*i for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 3*c - 14 = 4*o, -40*c - 4*o + 60 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26d2b7 (base 16) in base 12?\nAnswer: a2849b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462 and 5302?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (137 + 15)*(-3)\/(-24)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (27\/12)\/3*(-20)\/(-5). Suppose 90 = 2*q - 2*a, -2*q + b*a + 87 + 7 = 0. Let o = q - 23. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 16*y**2 - 13*y - 5. Suppose -34*g - 7 = -35*g. Let u be l(g). Solve 0 = 7*m - u*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 2. Let h be s(4). Let i(q) = 2*q - 1. Let j(f) = 1. Let l(p) = i(p) - j(p). Is l(h) 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 7:22 PM and 3:15 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 6) to base 9.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157 + -156. Let g(k) = 5*k**2 - 1. Determine g(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(192) + 4)*-1.\nAnswer: -4 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlvq when four letters picked without replacement from {v: 1, q: 2, k: 1, r: 1, w: 1, l: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2 - 2)*(0*o**3 + 3*o**3 - 2*o**3) - o**4 - o**4 + 0*o**4 - o**2 + o**4 + o**2 - 3*o**4 + 89 - 16*o**4 - 89.\nAnswer: -21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8070, 12233, 16396, 20559, 24722?\n\"Answer: 4163*c + 3907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**2 - 48*l + 756 = 0. What is l?\nAnswer: -21, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/72*-10*(-2)\/25.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**6\/72 + m**4\/24 + 11*m**3\/3 - 5*m**2. Let g(r) be the first derivative of b(r). Calculate g(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.04 (b) -0.11 (c) -6 (d) 2\/7 (e) -0.3 (f) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-5))**(24\/5)*q**(-3\/7)\/(q*q*q*q\/q**6*q*q) assuming q is positive.\nAnswer: q**(993\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -25*f - 274. Let m be y(-11). Suppose -3*d = d - 5*g + 5602, 3*d - 2*g + 4205 = 0. Let s = 46295\/33 + d. Is s > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -3 (c) 1\/3 (d) 104.27 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 34328588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 2. Suppose 0*x - x = -2. Suppose -7 = x*o - 3*o. Let t(a) = 3*a**2 + 3. Suppose 5*w + 16 + 4 = 0. Calculate o*f(b) + w*t(b).\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7869 or 8131?\nAnswer: 8131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = n - 470. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 - -24 - -30 - 43?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14437.987 times -0.06\nAnswer: 866.27922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 53*k = k + 45 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4\/15 + 4444*d**3\/15 - 4456*d**2\/5 - 13332*d\/5 + 8010 = 0.\nAnswer: -2225, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120 - -126. Is (10167\/m)\/((-3)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*240\/(-4020)*-67.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u. Let x(q) = -4*q**2 + 59*q - 59*q. Calculate m(x(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -723, -2889, -6501, -11559, -18063, -26013, -35409?\nAnswer: -46251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-14) - ((-8775)\/(-2814))\/(-3) and -71\/4.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**6\/120 - 2*u**5\/15 + u**4\/4 - 5*u**3\/3 + 72*u**2. Calculate q(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfjj when four letters picked without replacement from kkjjjklfjfjjfj?\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 14. Calculate the greatest common divisor of 50 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330 (base 5) to base 15.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -3*q**8\/112 - 3*q**7\/35 - 43*q**5\/60 - 255*q**2. Find the third derivative of s(l) wrt l.\nAnswer: -540*l**2 - 432*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -3) + (-5 - -20).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v + 4 - 4. Let f(p) = -3*p + 25. Let z be f(37). Let q = z + 85. Determine h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, 21, -6 in ascending order.\nAnswer: -6, 21, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 400?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 y, and 1 u when four letters picked without replacement from {n: 3, f: 3, u: 1, y: 6, w: 1, q: 6}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 21. Let q = l - -22. Let r = q - 7. What is the third biggest value in -5, r, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.5 + -3.5. Let x = v - -20.7. Let a = 1.70022 - x. What is a rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853016.7 rounded to the nearest 100?\nAnswer: 1853000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-120))\/((-8544)\/(-450) + -19)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 32 + 25. Solve 0 = 4*l + 7 + w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78 or 310.335?\nAnswer: 310.335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -67*l**2 + 18*l + 6. Let g(o) = 204*o**2 - 51*o - 17. Let c(q) = -6*g(q) - 17*j(q). Let b(w) = -2*w. What is c(b(x))?\nAnswer: -340*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/j**(2\/13)*j*j)*j*(j*j\/(j\/j**(-6)))\/j assuming j is positive.\nAnswer: j**(-89\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.538696 to three decimal places.\nAnswer: 0.539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 16 + 2. Solve 2*l - 2*g - 27 = -j*l, -3*g + 7 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4103124044 - 14?\nAnswer: -4103124113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13 + -10 + 10 - 319. Is x < -308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/(130\/(-39))*(-4)\/(-6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 9*m - 23. Let f be b(2). Put -7.8, 0.05, f in increasing order.\nAnswer: -7.8, f, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 31. Calculate r(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179902 by 293.\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 1. Let w(z) = z**2 + 5*z + 5. Let c be w(-4). Let m(f) = 2*f + 1. Let k be m(c). Let a(i) = k + 2*i + i**2 - 8*i + 4*i. What is a(h) + b(h)?\nAnswer: h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3507307 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 the thousands digit of 274849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11830 - 11867. Put 5\/6, y, -1, 1\/15 in decreasing order.\nAnswer: 5\/6, 1\/15, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 7:07 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2 = -8. Solve -10 = -y*n - 0*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8529 by -11.\nAnswer: 8529\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1403768, 4, 0.3?\nAnswer: 1403768","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2. Let m(z) = -2*z**2 - 94*z + 22. Let c be m(-44). Let g(u) = 590*u - c*u - 280*u. Determine j(g(h)).\nAnswer: 1152*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1, 6.7?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 44\/16 - 1\/4. Solve q*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*b = 67*b + 28. Solve -3*x = x + 3*u + 32, 0 = 4*x + 2*u + b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m**3 + 2*m**2 + 2*m + 6. Let x = 33 + -27. Let y(l) = -8*l**3 + 2*l**2 + l + 5. Let c(k) = x*y(k) - 5*q(k). What is the units digit of c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(1\/2)*m))**(-2\/5)*(m**(1\/2))**11)\/(m**(-1\/6)\/m**(-1))**41 assuming m is positive.\nAnswer: m**(-421\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 12*c**2 - 20*c - 5. Calculate a(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14923 - 14921. Which is the closest to -0.1? (a) t (b) -2 (c) 0.356 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 1)*(-12 - -5). Let h(k) = -k**3 - 7*k**2 + 12. Let m be h(a). Let b(d) = 8*d - m - 3*d + 15 + d**2. What is b(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*i**2 - 24*i**2 + 11*i**2)*(2 + 0 - 4).\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*m + 146, 3*m + 5*c = 2*c + 231. Suppose -109*y = -104*y - m. Suppose -11*l - 72 = -y*l. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 858234320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*r - 8. Let w be r\/5*(-6 + 1). Let m = 3 - w. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 330.4 + -1439.4. Which is the nearest to 0? (a) -2\/3 (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308, 1423, 3432, 6431, 10516, 15783, 22328, 30247?\nAnswer: 39636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27\/5 in -10\/27, 25, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3095980 a multiple of 971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -5.050566959?\nAnswer: 4.750566959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13323809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 3 - 66*j**2 - 192*j**2 + 256*j**2 - 3.\nAnswer: -2*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Suppose l = 5*c - 22 - 108. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = s + 6, 0 = 4*l - 2*s - 32. Solve -2*n = -2*w + l, -n = -3*w + 6*w - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2769)\/(-52) - (-15704)\/(-302).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 57, 109, 191, 309, 469, 677, 939?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 18. Let t be h(-14). What is the second derivative of 27*l - t*l**4 + 9*l**4 - 2*l**4 wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + g + 3. What is the remainder when 56 is divided by v(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 6*k**2 + 4*k + 4. Let z(p) = -3 + 12*p**3 - 6*p**3 + 5*p**2 + 0 - 7*p**3 - 3*p. What is 5*q(s) + 6*z(s)?\nAnswer: -s**3 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 108 + 45)*(3*u**2 + u**2 + u**2) in the form y*u**2 + t + i*u and give y.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 88324.59.\nAnswer: 97157.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 + 11*v + 11. Suppose -264 = 9*q - 33*q. Let k(i) = i**2 + 4*i + 4. Let c = 6 - 10. Determine c*d(y) + q*k(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 16 + 0 = 0. Suppose 3*z = -5*b + 19, -j*b - 2*z + 6*z - 4 = 0. Solve 22 = -5*h - b*s + 4*s, 0 = h + s + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 9 = -5. Let h be -2*(-3 + 2 + 3). Let l be 1*(-1 - h\/4). Solve o + 4 = a, l*a = x*o + 4*a - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and -13673388.\nAnswer: -13673388.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 4*w**6 + 15*w**5 + 81*w**4\/4 + 11*w**3 + 3*w**2\/2 + 24. Solve i(l) = 0 for l.\nAnswer: -1, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 669867 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66 + -21144?\nAnswer: -21067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-14)*m*m**(-7) assuming m is positive.\nAnswer: m**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 + 5*w - 20*w - 2*w**4 + 4*w**4 as s + x*w**2 + b*w**3 + t*w**4 + g*w and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 49641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.757 + -0.757. Which is the second smallest value? (a) -4\/5 (b) u (c) 1\/4 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -35.4, 3, -5, 6?\nAnswer: -35.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*w + 3 + 11*w + 83*w**3 - 166*w**3 - 2*w**2 + 6*w + 85*w**3 to the form z*w + x*w**3 + t + j*w**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 16 = -j, 0 = 4*j + j - 3*k - 8. Suppose -8 = 2*n - 3*m, 4*m = j*n + 9 - 1. Let v = 8 + n. Solve o = -o + v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-3) + (-1248)\/(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8273567\/2055)\/(-131) - -31.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*q - 3594 - 2575 = 101*q + 1247 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728201250.\nAnswer: 2, 3, 5, 7, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 10*c**2 - 4*c**2 - 3*c to the form f*c**2 + m*c + r and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -57.39 (b) 0.4 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16479 take away -3?\nAnswer: -16476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 1, -4, 0, 2 in descending order.\nAnswer: 36, 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttsstmhemhhmssetetm. Give prob of sequence tsee.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*h**3\/9 + 28*h**2\/3 + 16*h\/9 = 0. What is h?\nAnswer: -2\/11, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m = 2*o - 1271, -3*m - 1277 = -2*o. Let w = o + -219. List the prime factors of w.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 775 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22, -23, -34, -61, -110, -187, -298?\n\"Answer: -x**3 + x**2 + 3*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(90\/8)*(-1296)\/(-15264)?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 10 = -j. Let k be (0 - 2)*j\/(-4). Let d(m) = -5*m + 0*m - 5*m + 7 + m. Let q(i) = 4*i - 3. What is k*q(f) + 3*d(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 113634.94921628 and -0.058.\nAnswer: 113634.89121628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 7:26 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -152114?\nAnswer: 152115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16872951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 103313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1263 - 2517\/2. Find o, given that -h*o + 3 + 3\/2*o**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 - 25 = 3*a. Suppose -a = -6*x + x. Let k be (x - (-2 + 4)) + 1. Solve -5*l - 13 - 7 = 0, -2*t + k*l + 6 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263 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: Sort 8, 0.01, 5 in decreasing order.\nAnswer: 8, 5, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*w + 5*z - 0, 2*w - 20 = z. Calculate the lowest common multiple of (6 - 1)*w\/5 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213169 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llrfffrrrlnrf. Give prob of sequence nllr.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -839 + 844. Suppose -4*m - 2*y = -140, 69 - 249 = -5*m - u*y. Solve -6*i + 10 = m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**3\/9 - 242*i**2\/3 + 58564*i\/3 - 201. Factor a(m).\nAnswer: (m - 242)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((22\/14)\/((-111)\/(-2331)))\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = -4*r, 5*r - 601 = -4*a - 589. Sort r, -1, -4, 5 in decreasing order.\nAnswer: 5, r, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o\/((o\/((o\/(o**(1\/6)*o))\/o))\/o)*o))\/o**(-3)*(o\/(o**(-2\/5)\/o))\/o**(2\/3) assuming o is positive.\nAnswer: o**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011011 - 21?\nAnswer: 2010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43 or -6954\/163?\nAnswer: -6954\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7967, -15779, -23591?\n\"Answer: -7812*n - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209 - 209. Solve 18 = 4*k - 2*q, 2*k - 4*k - 4*q - 6 = g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -4.94.\nAnswer: 39.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 59*a + 1694. What is h(-29)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 5:15 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39871 is divided by 12728?\nAnswer: 1687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty ninths of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-3) - (0 + -4). Suppose -f*u + 2 = -u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 859791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 3*y - 3*y)*((2 + 0 - 4)*(3*y + 0*y - 5*y) - 3*y - 2*y + 6*y - 4 + 2 - 17*y + 0).\nAnswer: -48*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyypyynsyypnpssnn. Give prob of sequence sy.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m - 36. Let f be p(-7). Suppose 12*r = f*r - 2. Solve -2*u - 2*o - 4 = 0, 2*u - o - r = -0*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2052)\/(-3192)*1\/((-6)\/(-4))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.57 + -54.82. Let t = s - -0.25. Let i = t + 50. What is the nearest to -1\/2 in 1, i, 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 33, -0.4, 15, 2 in decreasing order.\nAnswer: 33, 15, 2, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -2 (c) 32 (d) 4 (e) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/21*-100)\/((-86)\/(-129)))\/((-6)\/(-84))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**3 - 6072405*k**2 - 5*k + 6072405 = 0. Calculate k.\nAnswer: -1, 1, 1214481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 286989462 and 6.\nAnswer: 286989462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**2 - 11*t + 2. Let h be b(4). Suppose v - h = 102. Suppose 3*s = 22 + v. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/((-2)\/4))\/1. Suppose -q + 3*d + o + 0 = 0, -2*d = -6. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(162))**2 + sqrt(18)\/(sqrt(9)*1).\nAnswer: sqrt(2) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 9*m**5\/10 + m**4\/12 + 2*m**3 - 36*m. Find the third derivative of w(f) wrt f.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 5. Let x be d(-5). Let f be (5 - (x + -1)) + -1. Solve -y - f*t = -16, 0*y + t = -5*y + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360133*j = 360126*j - 119 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2 - 175*b + 145. Let r be m(-59). Solve 32*d - r*d = 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362 divided by 4.\nAnswer: 181\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17a1d9 (base 16) to base 6\nAnswer: -53110105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 2:53 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/19, 5\/6, 33\/4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from wdwddddwdwdddwddw.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 7. Let u be r(-10). Let b be 0\/(-2) + u + 6. Solve 0 = 5*t + 5*v - b*v + 25, 0 = -3*t + v - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1111, -238, 20 in descending order.\nAnswer: 1111, 20, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 33*a + 246. Let j(p) = 4*p + 34. Let k(g) = -15*j(g) + 2*x(g). Calculate k(11).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-9)\/3) - ((-30)\/3 + -32).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-2 + 4 + -1). Suppose s*a - a = 14. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3ab949 (base 16) to base 3\nAnswer: 21020112011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*6\/1140*10*12\/30.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 16 + 2 + -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*f**2*k**3 + 47*f**2*k - f*k - 17*k**3 wrt k?\nAnswer: 42*f**2*k - 102*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from qqqqqiqquubqb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -6. Let n = b + 1.9. Put n, 0.4, -1 in increasing order.\nAnswer: -1, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 3*b**2 - 3*b - 1. Let l(s) = 2*s**3 + 7*s**2 - 7*s - 2. Let i(w) = 6*l(w) - 13*m(w). Factor i(q).\nAnswer: -(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = 9*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnkaakdddmakampdd. What is prob of picking 3 a?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446*y**3 + 5*y**3 + 25272626 - 25272626 + y.\nAnswer: 451*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1925 less than 1917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 65. Suppose 0*s = 4*s + 136. What is the remainder when u is divided by (3 - 2)\/((-2)\/s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r**2 - 149*r - 6. What is l(-19)?\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 12926.9.\nAnswer: -2585.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**5\/3 - 34*q**4\/3 + 52*q**3 - 28*q**2\/3 - 670*q\/3 - 150 = 0.\nAnswer: -1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:01 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 278*b - 4783. Calculate v(-119).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-132)\/(-55))*9)\/(1\/(-1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 - 3*l**2 - 3*l. Let p be v(-2). Calculate the greatest common divisor of 160 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 77 in 12, 4, -2\/31, -2, 1\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/14 and (-1 + 531\/(-4))*(-2)\/110.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535431.4ml to litres.\nAnswer: 535.4314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3 + 2, -5*m = -4*q - 35. Differentiate 5 - 3 + 4*i**m - i**3 with respect to i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27576 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165 - -169. What is the second derivative of 4 - o**2 - 2*o + 48*o**g + 0*o + o**2 wrt o?\nAnswer: 576*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 103\/2 (c) 5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164542767\/25 + 6583599. Let b = 1888 - u. Let a = 107\/100 + b. Is 0 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 - 57. Suppose -4*o - 45 = -m. Suppose -991 + 123 = -o*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - -2 - (18 - (-65 + 25)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*o*v**4 - 29*o - 243*v**4 - 4*v**2 + 9 wrt v.\nAnswer: 672*o*v - 5832*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a century in months?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j - 4*y + 12, -j - 3 = 3*y. Let w be (51\/(-9))\/(3\/(-18)). Let f(n) = -n + 1. Let z(h) = 6*h - 6. Give j*z(t) + w*f(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 10 = 2. Suppose 3*g - 2 = 1. Calculate the remainder when r is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 80395128, 160790244, 241185346, 321580428, 401975484?\n\"Answer: -o**3 - o**2 + 80395126*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -2*f - 25. Suppose 0 = 71*q - 73*q - 2, 4*w - 429 = q. Let n = w + f. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60756392 divided by 1047524?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 36, -49 in decreasing order.\nAnswer: 36, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.0526ng to tonnes.\nAnswer: 0.0000000000000350526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -32. Let n be ((-21)\/f*1)\/(6\/(-52)). Solve o - 5 = 2*o + m, 0 = 3*o + m + n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -0.04, 0.5, 49?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1442643?\nAnswer: 3, 480881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1171 and 5?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 353 (b) -4\/115 (c) 0.3 (d) 4\/3 (e) -1.6 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from truttrturut. What is prob of sequence urrr?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in 2\/17, 0.3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47 + 13 + 34 + 5008*f)*(-6 + 4 - 1 - 3*f) to g*f + b + i*f**2 and give i.\nAnswer: -15024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1546372 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.069321891 to 3 dps.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-4 - 10 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 29*s**2 - 4*s + 12. Let w = 54 + -49. Let c be -32*1\/w + (-27)\/45. Is o(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15764269161 to the nearest one million.\nAnswer: 15764000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 325678781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6256 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**2 + i - 3. Let u be z(1). Suppose 0 = 5*s + 3*k - 2115 - 3115, u*s - 3122 = -5*k. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/2, 0.6, 2\/5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -4*r + 3*g - 74, -5*r - 5*g = -140. Let c be ((-2)\/(-1086))\/((-66)\/r). Is c at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-1078 + 1067 - (-15 - 0)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -322 or -4503\/14?\nAnswer: -4503\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.1 - -0.1. Let p = s - -17.0000016. What is p rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by -2 - -4 - 19\/(190\/(-260))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83603 and 401011.\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(40)\/(sqrt(32) - sqrt(2))*3)\/((sqrt(1944)*2)\/(3*sqrt(96))))**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92522?\nAnswer: 2, 46261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 233 and 7?\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by 10982\nAnswer: 31\/5491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2505)\/(-45)*(-1 - -10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 148337.79 to the nearest one hundred.\nAnswer: 148300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -33*b**2 + 12*b + 71*b**2 + 11 - 37*b**2 - 1. Calculate o(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p**3 + 407*p**3 - 755*p**3 - 388*p**3 - 663*p**3.\nAnswer: -1443*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, z: 4}. What is prob of sequence vzvz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 10 + 14 + (20 - -3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 37*s - 12. Let f(z) = -75*z + 23. Let q(m) = -5*a(m) - 3*f(m). Let o be q(6). What is the highest common factor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290035 is divided by 4522?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r - 112*r + 140281801 - 56334664 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 l when four letters picked without replacement from zzlzlllzazl?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-1\/3))**(1\/10)*(s**(-6)*s)\/s*s**(-8)\/s assuming s is positive.\nAnswer: s**(-443\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -294.9 + 78.9. Which is the nearest to -2\/9? (a) 1 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*b + 2*b + 47*b - 85*b.\nAnswer: -603*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 4942905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 v when three letters picked without replacement from {a: 1, c: 1, w: 9, z: 2, q: 2, v: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 18 = 2*s - 190, -3*t + s + 127 = 0 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -37 - -28 - (0 - (-2 - -6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from {w: 1, g: 1, i: 1, h: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/7220 and 95\/95996.\nAnswer: 173272780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/2 - 1453*f**3\/2 - 347655*f**2 - 52701950*f + 1000016500 = 0.\nAnswer: -490, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969596267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 178*j**5 + 13*j**2 - 11 wrt j.\nAnswer: 10680*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 7 = 2*r - z, 5*r = -4*z - 2. Let u(n) = 61*n + 22. Let f be u(-1). Let h = r - f. What are the prime factors of h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5431 - 4019 = -18*p. What is the remainder when p is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 4*v. Let x be (-3 - -2) + 5 + -1. Let u be ((-3)\/2)\/(x\/8). Let o(p) = -p**2 + 3*p. Calculate u*o(y) - 3*g(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 8 = -2*i, -u + 20 = -6*u. Let a = i - -1. What is the units digit of 1\/a - (-20)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**10\/1680 + p**6\/360 + p**3\/6 + p. Let j(g) be the second derivative of f(g). What is the third derivative of j(d) wrt d?\nAnswer: -360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-250)*(48\/(-9))\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -16*u**2 - 6*u - 3. Let t(l) = 17*l**2 + 7*l - 4. Give 6*t(p) + 7*z(p).\nAnswer: -10*p**2 - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 2*t = 12*i - 12, 0 = -t - 3 - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*h + 173*h + 171*h + 5 = 0. Let v be (-2)\/5*5\/(-7). Which is the nearest to h? (a) -1\/18 (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1008\/(-40))\/(9\/(-30)). Which is greater: 83 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2227\/6 - -372. Which is the second biggest value? (a) 3\/2 (b) y (c) 0.07 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -173616158*z**4 + 78206025*z.\nAnswer: -2083393896*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 + 9*j**2 + 223*j**3 - 89*j**3 - 109*j**3 + 15 wrt j?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 0 + 3)*(-l + 0*l + 2*l) + (-4 - 2 + 4 + (-3 - 3 + 4)*(4 - 1 - 6))*(7 - 17*l + 2 - 3)*(2 - 3 - 2) as p*l + v and give p.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 34*s**3\/3 - 3*s**2\/2 - 22*s - 1. What is the thousands digit of f(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 + 0*x**2 + 6*x**2 - 14*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 712679 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31, 29, 27?\n\"Answer: -2*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2, 2*y + 2*y - 4*d = -380. Let u be y\/9 + (-3)\/(-9). What is the units digit of ((-12)\/u)\/((-24)\/(-640))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 1187 - 1133 = 0. Let g = n + -153. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1963380\/17 or 115492?\nAnswer: 1963380\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 448.4983 centimeters to millimeters.\nAnswer: 4484.983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(54) - sqrt(3456) - sqrt(54)).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 - 23*i**2 + 18*i + 78. Let v be w(-12). Suppose 3*c = 1 + 8. Suppose v = 4*n + c*m, -5*n - 5*m + 17 = 7. Solve n = -t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24, 88, 260, 594, 1144, 1964, 3108, 4630?\n\"Answer: 9*b**3 + b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.16 (b) 3\/2 (c) -0.1 (d) 4 (e) 2153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*k + 262774 = -0*k. What are the prime factors of k?\nAnswer: 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5*o + 4 = 0. Solve -o*m = -24 + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/9)*k**(-1\/9)*k**(-5)*k*k*k\/k**8 assuming k is positive.\nAnswer: k**(-95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 9*o**2 - 7*o - 3. Calculate t(-6).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4)*(-42)\/(-63)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10057 - 6948. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -4 - -2 - (-9 - -16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/58 and 77\/58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 60, 63?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1947*d**2 - d + 1. Let b be c(-2). Let w = b + 155651\/20. Find the common denominator of 35\/2 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0.1. Let r = -33 + 38. Sort r, 3, q.\nAnswer: q, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 - -200213322?\nAnswer: 200213132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 52 (b) 1\/4 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453462, -453457, -453448, -453435, -453418, -453397?\nAnswer: -453372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 30 = 13*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34279 + 822565\/24. Calculate the common denominator of -13\/18 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - -6 - (-2)\/(-1). Let p = -6.3 + 5.42. Let u = p + -4.12. Put f, u, -3\/4 in decreasing order.\nAnswer: -3\/4, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -33a77?\nAnswer: 33a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/2 (b) -1\/10 (c) -2 (d) 0.3 (e) 1.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5299442908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {w: 3, i: 1, f: 6, t: 2, l: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -5)*-2*-10. Suppose -q + 135 = 3*w - 124, -x = 4*q. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a factor of 297246614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7 (b) 1 (c) 5 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f - 12*f**2 + 17*f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-123*a**3 + 424*a**3 - 159*a**3)*(-14*a - 7*a - a) in the form c*a**3 + k*a**2 + m*a**4 + f + u*a and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 174*m - 4777. Determine k(28).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 7*b**6\/180 - 289*b**3\/3 - 135. Let r(s) be the third derivative of g(s). Let z(a) = 4*a - 5*a + 3*a. What is r(z(k))?\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-1 + 3) - (0 - 3). Let k = -2 - -1. Sort k, -2, a in increasing order.\nAnswer: -2, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 17 in decreasing order.\nAnswer: 17, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-12)*3\/2. Let p(t) = -14*t**2 + 15*t**2 + 7*t**i. Let h(y) = 4*y. What is h(p(f))?\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 14. What is the remainder when p is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Suppose -2*y + 5*y - 30 = j. Let p(o) = o**2 - 9*o - 5. Let x be p(y). Solve x*z = 4*n - 5, -8 + 4 = -3*z + n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 568.486 + -569. Round d to two dps.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = 7*n - 241464. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 10*u**5\/3 + 6055*u**4 + 8253640*u**3\/3 + 1325655*u**2 - 66093320*u\/3 - 20611600 = 0.\nAnswer: -908, -5\/2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21010 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = 178*w + 441 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 12. Let t be m(-10). Sort 2, 5, t, 1.\nAnswer: t, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001100001100101110 - 1001110?\nAnswer: 100001100001011100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -2, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -363.1 times -106\nAnswer: 38488.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.15 + -130.85. Which is the third smallest value? (a) -1\/3 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0*t**4 + 0*t**3 - 1\/30*t**5 + 0*t + 0 - 36*t**2. Let c(p) be the third derivative of -3*p**5\/20 - 9*p**2. Give n(c(i)).\nAnswer: -162*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6937 or -6930?\nAnswer: -6930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7860274 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (1 + sqrt(200)) - sqrt(200))*6*3)**2 + (sqrt(392)*-2)**2*3.\nAnswer: 6480*sqrt(2) + 69828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -2843?\nAnswer: 2845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12 + 28*o**2 - 20 + 9 with respect to o.\nAnswer: 56*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 51870376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2135627*s - 571*s**2 + 2135627*s as n*s**2 + y + u*s and give n.\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-412)\/(-140) + (-12137304)\/(-237720).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 31*t - 158. Let b be k(-14). What is the greatest common divisor of b and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/15*(-12)\/2. Suppose -5*k = -25, 5*q - f*k + 22 = -8. Let d be (1 - 2*q) + -1. What is the greatest common divisor of d and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, x: 3, u: 3, w: 7}. What is prob of sequence nnx?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*y - h, -2*h + 0*h = -3*y + 2. What is the units digit of (y - -31) + -13 + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -219 - -2849\/13. Let k = 0.56 - -26.44. Let v = k + -27.1. Is f smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -6. Suppose -5 = -u*z + 1. Solve 0*m = -3*m + w - 3, z*w = -5*m - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s + 33. Let b be i(10). Suppose -2*n = -7*n - b*r - 178, 4*n + 132 = -5*r. Let m = -30 - n. What is the greatest common divisor of 152 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -183764, -367530, -551296, -735062, -918828?\n\"Answer: -183766*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 8*b**2 - 6*b - 3. Let v = -8 + 12. Suppose 4 = 2*n - n, 3*n + 16 = v*y. Let h be i(y). Solve -h*d - 4*g + 8 + 8 = 0, -d - 4*g = -13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(1 - (-2 + 1)). Find the common denominator of r\/(-8) + 200\/32 and 1*(294\/(-16))\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21761 is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25091939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*u - 140548 + 14260. Is u a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-48))\/(115\/46)*-2*-111?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -159, -158, -157, -156?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*b + i, 4*b = -i + 3*i + 34. Suppose 0 = 6*k - b*k + 25. Solve -13 + 3 = -k*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhc when four letters picked without replacement from hhchhhhchh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.23 + -0.83. Round m to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/27192 and -23\/4944.\nAnswer: 54384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6 = -3*k. Let v = 9 + -4. Suppose -v*l = -7*l + 8. Which is greater: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7, -0.4, 0.7, 3\/2, -5, 1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from pkpk.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.74692475 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/11)\/((((r*r\/((r**(-25)*r*r)\/r*r*r)*r)\/r)\/r*r)\/r*r)*(r*r*r*r**(-11)*r)**16 assuming r is positive.\nAnswer: r**(-1498\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 201852841 to the power of 1\/3, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -23369*b**2 + 0*b**3 + 23393*b**2 - 24*b + b**3 + 29. Determine l(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3481900 to the nearest 10000.\nAnswer: 3480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + 1)*(4 + 0 - 2) - 2 + 3 - 2)*(41*i + 74*i + 58*i) to w*i + d and give w.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107715.\nAnswer: 5, 7, 31649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -10. Let g = z + -11. Let w = g + 12. What is the closest to 1 in 2\/9, -3\/8, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568.1983um in nanometers?\nAnswer: 568198.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 319761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/2*(-28 + 26). Suppose j - 3*j - 4 = 0. Let a be j - b - 110\/(-5). What is the greatest common factor of a and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/10, -5\/4, 4, 0, 2\/15, 17.6 in ascending order.\nAnswer: -5\/4, 0, 2\/15, 3\/10, 4, 17.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 1733*k**4\/12 + 1117*k**2 - 10904*k. Differentiate o(a) with respect to a.\nAnswer: 3466*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477209.\nAnswer: 477209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by 5?\nAnswer: -136\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -17, 0, 99 in increasing order.\nAnswer: -17, -12, 0, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28725474 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4186819 is divided by 1395585.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10470 and 164?\nAnswer: 1717080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 53 - 106 = -4*x, 5*s = -5*x + 210. Let b = -68 + 69. Sort b, x, 3 in increasing order.\nAnswer: b, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*q + 104 = -334*q. What is the remainder when q is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76219981, -76219988, -76219995, -76220002, -76220009, -76220016?\nAnswer: -76220023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, x: 3, a: 3, i: 2, q: 1, h: 1}. Give prob of sequence qaa.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:09 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -20*s - 26. Let y(v) = 10*v + 17. Calculate -6*f(w) - 11*y(w).\nAnswer: 10*w - 31","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 9) + 0 + 0. Let d(h) = h**3 + 8*h**2 + 5*h + 1. Let m be d(i). Suppose 0 = 8*l - 0*l + 10 + 22, 4*x = l + 12. Solve -x*b - 3*b + m = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001054 to 5 decimal places.\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_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: Express 98*j + 199*j**4 - 104*j - 203*j**4 - j**3 + 1 - j**2 in the form p + d*j + a*j**3 + u*j**2 + g*j**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p - 50. Calculate the remainder when 19 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28182 and 361283846?\nAnswer: 9394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (157 - 147) + -6 + (-2 - -1 - -13) + 105.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380 + 129 + 128 + 123 - 1620*f.\nAnswer: -1620*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-14)\/245 + (-39)\/84.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/10 - 43\/130. Which is smaller: r or 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3050354 is divided by 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkaffaxaafffdfffx. Give prob of picking 1 x and 1 f.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, i: 4, z: 4, a: 2}. Give prob of picking 1 i and 2 z.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -0*w + 5*w + 5*m, 2*w - 4*m = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9238.73933 rounded to the nearest 10?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2982 - 1022828\/343. Let u = -676\/1715 + q. Which is the third biggest value? (a) -4 (b) u (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-40)\/(-16))\/((-1)\/(-2)). Suppose -x + y*o = -250 + 74, 4*x = -5*o + 604. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -5. Suppose 0 = 5*u - w*u. Solve u = -4*a + 3*a - t - 6, -2*t - 3 = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 239, 301, 363, 425?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -4, 4, -1.\nAnswer: -4, -1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 - -1 - (-3 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10656.0906 - -10657. What is y rounded to two decimal places?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 times 1.8?\nAnswer: 178.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2349 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8045*s**3 - 8045*s**3 + 52*s**4)*(2 + 4 - 4)*(2 + 5 - 2).\nAnswer: 520*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*a + 4*s + 134, -4*a = 4*s + 108. Let n = 7 - a. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 10:55 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -7) + (7 - 12). Solve 4*f = -2*v + 24, 3*f = -5*v - r*v + 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 4*a**3 - 31*a**3 + 16*a**3 + 4*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6693057 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10 = -2. Let k(i) = 6*i**2 + 64*i**p - 65*i**3 - 5*i - 1 - 2 - 2. Calculate k(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 10. Let l = -33 - -54. Let v be j(l). What is the units digit of ((-6)\/16)\/(v\/(-88))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 1. Let v(r) = 2*r**2 - r - 11. Let p(y) = -d(y) - v(y). Calculate the smallest common multiple of p(0) and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixteenth of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5 + 23 = 0. Let t(s) = 2*s + 4. Let o(a) = a - 1. Let q(y) = -3*o(y) + t(y). Let l be q(-7). What is the highest common factor of l and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0.2, -55.95?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32575*y**2 - 56874*y.\nAnswer: -65150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64346055 (base 7) to base 9.\nAnswer: -11262786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6940172*c*h + 154042434*c wrt h.\nAnswer: 6940172*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 304\/2166*-95 - 12\/(-1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 25 = -7*x. Suppose x*r - 7 = -2*i, -r + 2 = 2*r - i. Suppose 6 = 5*v + r. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (17 - (20 + -14))*11. Which is the closest to -1? (a) n (b) -1\/4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14, -40, -84, -152, -250, -384?\n\"Answer: -h**3 - 3*h**2 - 10*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-4 - -4 - -1). Let i be 2\/c*(6 + -36). Suppose -2*h = -4*h + 14. Solve -i = -3*u + h*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -11*n - 17. Let o = -50 + 53. Let j(k) = -2 - k - 2 + 5*k + 10. Give o*m(q) + 8*j(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 405?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 11*w**2 - 2*w + 4. What is i(-11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 37 + 56 + 6*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 693 and 634326.\nAnswer: 1902978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i - 19. What are the prime factors of b(-17)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 3451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/28*(-2)\/(-6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 v when four letters picked without replacement from {c: 3, r: 6, v: 3, e: 2, a: 3}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58928 is divided by 29464?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (8 + -17 + -8 + 5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1829*w**2 + w - 1. Let o(s) = 915*s**2 - s + 1. Let g(y) = -6*k(y) - 11*o(y). Is g(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2095606986.\nAnswer: 2, 3, 11, 2886511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3885 and 3.\nAnswer: -11655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 10*w + 8. Give b(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000083220143 rounded to seven decimal places?\nAnswer: -0.0000832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153 - -167. Calculate the remainder when 34 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0117567918 rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o + 3*m = 6540, 5*o + 2*m = 10909. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 3 - 2 - 2*d. Let y(q) = -1012*q - 2018. What is the remainder when y(-2) is divided by b(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 5:45 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 9 = 3*f, 11 = -0*d - 5*d - 4*f. Let q = -2 - d. Is q less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 1. Let j(a) = a**2 - 4*a - 4. Let c(p) = -j(p) - 4*t(p). Let g(u) = -1550 + 1550 - 3*u. What is g(c(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 74684581 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 4*d + 5*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 72 from 26.45.\nAnswer: -45.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = 2*w, 5*w - w + 5 = -3*s. Let j be ((-2)\/(-8))\/(5\/(-8)). What is the fourth smallest value in w, j, -1\/6, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*k - x, 5*k = -2*x + 4*x + 16. Let s(a) = -2 + 3*a + 5 - k + 2. Let b be s(1). Let j(h) = -h + 4. What is j(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l - 4. Let k be f(3). Solve -4*o + 16 = -k*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10211 - 2*f + 10211.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004266359 rounded to four decimal places?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*f - 4*a, 2*f + 3*a = -0*f - 1. Let z be (0 - -1) + 1*f. Let v(p) = p**2 + p - 2. What is the remainder when 28 is divided by v(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 3, -0.1, -2.881?\nAnswer: -2.881","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*b + 24. Let f(k) = -k**2 + 1131*k - 42581. Let m be f(39). Is m less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 10*l + 13. Suppose 0 = -3*h + 23 - 2. Let y be j(h). Suppose 29*p - 28*p + 9 = 0. Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + 0. Which is the second smallest value? (a) 2 (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414*m + 207*m + 209*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 13. Give q(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30078561?\nAnswer: 3, 271, 36997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*((sqrt(88) - (sqrt(88)*-1 - sqrt(88))) + sqrt(88)))\/(sqrt(32)*-5 - ((-1*sqrt(648) - sqrt(648)) + sqrt(648))))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 286448 (base 10) to base 9\nAnswer: 475835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 34604*i + 5. Let r be q(1). Suppose 22391 = w + 4*n - r, -2*w + 3*n + 114000 = 0. What is w rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + a - 8 = -44, 5*b - 5*a = 20. Suppose 2*m + 2*m = -2*g + 10, b = 4*m + 4*g. Let o = -7 + 7. Solve -m*s - 3 = -o*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63248 and 46029?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqesraajqqaq. What is prob of sequence jes?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 615506758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 - 19. Suppose -j = -6*g + g. Calculate the remainder when 46 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -5, -4 in decreasing order.\nAnswer: 5, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 430533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015908 rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1920 = -5*w, -z + 3*z = w + 769. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29 - (-7002)\/225) + -15 + 1*13)*20?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wowsowowow. What is prob of picking 4 w?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 3*o - 40. Let q(w) = -w**2 + 8*w + 2. Let m be q(o). Suppose -5*y = 22 - m. Which is bigger: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959842 divided by -25259?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2197447 is divided by 778?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 55 = 22*l. What is the greatest common divisor of 176 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124690 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5 = 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.258+4709633\nAnswer: 4709632.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2634 - -2637. Which is the closest to 5? (a) v (b) -5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.49, -2, -117 in ascending order.\nAnswer: -117, -2.49, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9451852 is divided by 896.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n = 91*n - 1180. Solve n*d + 18 = 78 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s)**11*s**9\/s**8 assuming s is positive.\nAnswer: s**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34 - f - 42 + 82 + 2*f - 2*f + f - 2 + 2 - 2*f + 3*f + 0*f - 2*f + (1 - 2*f - 1)*(-3 + 3 + 2) + (1 - 3 + 0)*(f + 4 - 4).\nAnswer: -7*f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/53 (b) 14 (c) 356\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 58 + 214 = 0. Let f = 95 - z. Suppose -34 = -5*h - i + 76, -h + f = -4*i. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231 and 1025409?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -235, -227, -215, -199, -179, -155, -127?\n\"Answer: 2*w**2 + 2*w - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 14. Let l be 2\/4*(y + 3). Suppose i - 9 - 13 = l. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-13)\/26)\/(9\/(-6)))\/((-10)\/(-4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 minutes after 11:15 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w*w**(3\/10))\/(w*w**(4\/9)))**(-44))**(-1\/2))**(-15\/2) assuming w is positive.\nAnswer: w**(-847\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 7:15 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.7 + 11. Let v = -1321 - -1320.6. Are n and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16637 rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*k**2*t**2 - 4*k**2*t - k**2 + 6*k*t + 7*k - 386898*t**2 + 1635*t wrt t?\nAnswer: 38*k**2 - 773796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 32 + 68 = 0. Suppose -6*b + 2*b - 96 = -5*l, -5*l + 5*b + d = 0. Let k = -9 + l. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1699707822?\nAnswer: 2, 3, 12457, 22741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 10. Let r be p(6). Let s = 0.0042 - -1.9958. Sort r, -1, 5, s.\nAnswer: r, -1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6692540 and 3220?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -25.04\nAnswer: 75.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/n)\/n)**(-6\/17)*n**(-4\/5)*n*n**2*(n**3*n**0)\/(n\/(n*n*(n\/n**(2\/7)*n)\/n))**(-12) assuming n is positive.\nAnswer: n**(-8516\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8\/25)\/((-28)\/(-490)) and -85\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 32 = i. Let c = 41 + i. Let l(b) = b + 7. Let o be l(-5). Solve 0*f + o*w + 6 = f, -c = 2*f + 5*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2.75, 0.89, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47\/83 - 9919\/1245. Let p = -77\/10 - g. What is the common denominator of -1 + 5 - (-98)\/(-32) and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12072869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 15. Let o be -2 - (-3 - -4)*5. Let z = l - o. Calculate the greatest common factor of 36 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -0.07, 13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4961, 4964, 4969, 4976, 4985?\n\"Answer: n**2 + 4960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 4. Let v be n(-2). Suppose 0 = 2*j - v. What is the units digit of (-1)\/j + 2 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 329\/5 + -65. Let s be ((-2)\/4)\/(3\/174). Let q = s - -32. Which is the second smallest value? (a) q (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3) + 1)*-3.\nAnswer: -6 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 4:41 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 3:03 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -413391, -3307353, -11162455, -26459265, -51678351?\nAnswer: -89300281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4224763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4 - 11*f**3 - 5 + 3*f**2 - 30*f**3 + f. Let d be k(-5). Suppose 2*o - r - 2*r = d, 0 = -o + r + 2598. Round o to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddd. Give prob of picking 2 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-6 + 3 - (-2 + -3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a6 (base 14) to base 4.\nAnswer: -11112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*b + b - 26, 4*b + 30 = -5*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a + 1. Let w be 6\/(-2) + 12 + -11. Let b(l) = -7*l + 3. Give w*b(i) + 5*p(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 1. Let h(n) = -6*n + 21. Suppose -3*s - 5*y + 28 = 0, 14*y = 3*s + 17*y - 12. Determine s*l(q) + h(q).\nAnswer: -2*q + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**2 - 8*s**2 - s**2 + (4*s**2 - s + s)*(-11 + 7 - 11) + (4 + 4*s - 4)*(3*s + 9 - 9).\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 11*z**2 - 13*z - 136. What is p(10)?\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3363 + 3363 - 2*z**2 + 1146*z as d*z + q*z**2 + b and give d.\nAnswer: 1146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 4*w + g, 109*g = -2*w + 79*g + 1042 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1. Let b(t) = -t + 1. Suppose -25*j + 57 = 32*j. Calculate j*b(f) - 4*x(f).\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -904007, -903925, -903843, -903761?\n\"Answer: 82*y - 904089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1682708, 3365415, 5048122, 6730829?\nAnswer: 8413536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 42*y - 2 = 46*y, 0 = -q - 5*y - 10. What is the smallest value in q, 21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7376, 29638, 66742, 118688, 185476, 267106?\nAnswer: 363578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-14))\/(18\/315). List the prime factors of (421\/5)\/(3\/r).\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 84.62172um?\nAnswer: 0.008462172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95592 and 504.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 5:44 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195 + 206.73. Let m = h - -119.17. Round m to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4292 is divided by 42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 - 276708*q - 553404 = 0.\nAnswer: -92234, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + 4 + ((-88)\/(-1))\/2 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*s - 25 + 112, -5*s + 90 = 5*q. Let n be 16\/24 + 20\/q. Solve 0*f + l - 3 = -n*f, 5*l = f - 29 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*a - 24 = 0. Sort a, 0, 1.\nAnswer: a, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -0*k + 5*k, -3*a + 4 = 5*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*c**4 + 3 + 176*c**4 + c**5 + 65*c + 55*c wrt c.\nAnswer: 20*c**3 + 2604*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 469*u. Let n(x) = 45342*x. Give h(n(m)).\nAnswer: -4111793928*m**2 + 21265398*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-1))\/(-8) + 54\/408. What is the nearest to 35 in 3, -1\/3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8066, 12558, 17050, 21542, 26034, 30526?\n\"Answer: 4492*i + 3574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 3*n - 9 = 0. Let h = 64583 + -451099\/7. Let k = 140 - h. Which is the closest to k? (a) 0.2 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-56)\/(-16)*8\/14. Suppose -10 = 3*c + s*c. Let t(n) = n**3 + 4*n**2 + n - 2. Determine t(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8889 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 80778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1097 or 1126?\nAnswer: 1097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**2 + 5*n. Let i(x) = 18*x**2 - 12*x. Suppose 538*q - 396 = 505*q. Calculate q*j(c) + 5*i(c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + 503. Calculate the highest common divisor of r and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 * -923.\nAnswer: -35997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y - 7\/6*y**3 + 0 + 1\/12*y**4 - 2*y**2. Calculate the smallest common multiple of s(9) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1891 = -3*r + 10596, 4*r = 2*p + 11602. Suppose n - 1863 = 5*w, r + 783 = 2*n + 4*w. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -3236792?\nAnswer: 323678b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/980)\/(50\/(-140)*21\/(2205\/84)).\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 10*y + 44)*(-324*y**3 - 5780*y + 5780*y).\nAnswer: -3240*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d17 (base 16) to base 15.\nAnswer: -974d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69.95256 + -0.04744. Is w < -1\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2964*l - 2234. What is the units digit of k(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4)*48\/36. Let f(y) be the second derivative of -y**4\/12 + y**3\/2 + y**2\/2 - 5*y. Calculate f(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 171168, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l**2 + 365. Let f(o) = -15*o + 136. Give f(j(p)).\nAnswer: 135*p**2 - 5339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369238 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -22. Let f = -1 - -1.3. Put y, f, -2 in decreasing order.\nAnswer: y, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/6*15\/(-10))\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j - 12*j - 72*j)*(-4 + 0 + 5).\nAnswer: -95*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 11 - 8 = 2*s, -5*s - 10 = 5*p. Let x(w) = 4*w**2 + 41*w + 39. Let y be x(-1). Solve p*k = -y*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-372)\/28 + (-702)\/(-54))\/(6\/(-35)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 3513.\nAnswer: 1\/1171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 - 3*t - 1. Let x be f(-1). Sort 0, x, -1 in descending order.\nAnswer: 0, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52202 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 + 44*n**2 + 13668*n\/5 + 166464\/5.\nAnswer: (n + 16)*(n + 102)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -13*o**2\/2 + o + 1. Suppose 7*x + 70 = 12*x. What is the remainder when v(-3) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 23 = -13. Let m be t\/1 - (-22)\/11. List the prime factors of 2*m\/(-2) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - 0)*(6 + -3). Let x be (-5 - -5)*(-2)\/(-4). Does 13 divide (a + x)*147\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -31 - -28 - (1 + 2 + -51)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 2 - sqrt(5)) + 1)**2*5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 15*p - 329. Is z(39) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5393 at least 5392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67730410 is divided by 54.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-8))\/((v*v\/((v**(2\/9)*v)\/v*v))\/v))\/(v**(-5))**(-2\/103) assuming v is positive.\nAnswer: v**(-6373\/927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439329 + 577428 = 63*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12793 + 12786. Sort 0, -72, -5, q in increasing order.\nAnswer: -72, q, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -5*x**4\/12 - 248*x. Let o(g) be the second derivative of g**3\/6 + g. Determine o(a(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1638 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 12. Suppose 0 = 2*m + 16 - 52. Solve -r + 3*r + 3 = -j, 2*r = -x*j - m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6277 + 3139 - 8*g + 3181 to a + b*g and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.5, -3, -1\/30?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815368754.\nAnswer: 2, 17321, 23537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**5\/210 - 31*q**4\/14 + 376*q**3\/21 + 3*q**2 - 4. Find i such that k(i) = 0.\nAnswer: -188, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 446518 * 0.009\nAnswer: 4018.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 143339565.6 nanoseconds?\nAnswer: 0.00000023700325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 7*k - 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - 0 - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2928831193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5714.1 rounded to the nearest 100?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3492 divided by 4\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*(-6)\/(-117) + 500868\/26 + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 90*h**3 - 57*h**2 - h - 4. Let c be b(-2). Which is smaller: c or -951?\nAnswer: -951","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.27056 - 17.41?\nAnswer: -16.13944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 + 0*v**3 - 2*v**3)*(-1 + 2 - 2)*(5*v - 2*v - 2*v).\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 455 and -1.92181.\nAnswer: -874.42355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3968 and 1488?\nAnswer: 11904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1397, 1359, 1285, 1163, 981?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 6*m + 10. Let k be d(7). Factor 5*j**4 - 2*j**4 + 0*j**3 + k*j**3.\nAnswer: 3*j**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*c = 2, 5*r - 2*r = -3*c + 6. Suppose 3*j + 3 = 0, -4*j + j - 23 = r*t. Let m = 9 + t. What is the least common multiple of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-16)\/52 - 73354\/(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbbf when four letters picked without replacement from unfbbbdbbf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 792, 3035, 6726, 11865, 18452, 26487, 35970?\n\"Answer: 724*o**2 + 71*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66546.1 + -66547. Let j = 2.7 + -1.5. Which is greater: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.57386 and 1534?\nAnswer: -2414.30124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-4))\/25*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + d - 2*d**2)*(0*d + 13*d + 3*d) + 88*d**3 - 117*d**3 + 69*d**3 to the form i*d + g*d**2 + v + u*d**3 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*f**4*t + 3*f**3*t + 18*f**3 - 17*f*t - 131*f wrt f.\nAnswer: -528*f**2*t + 18*f*t + 108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-2)\/4*-6. Let w = 22 - i. Let s = 3 + w. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5*c**2 + 0*c - 4*c**2 + c + 11*c**2 in the form b*c + q*c**2 + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2 - 3. Let l(b) = 4. Let f(t) = t + 8. Let k(g) = a*l(g) + 2*f(g). Differentiate k(m) with respect to m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 208493 = o - 73399, o - 3*i = -135087. What is o rounded to the nearest 1000?\nAnswer: -135000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1)\/((-7)\/147*-3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 + 30\/(-7). Suppose -198 = 6*t - 12*t. Suppose 4*w = -5*f - t, 3*f + 25 = 4*w - 9*w. Put m, 2, f in ascending order.\nAnswer: f, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5566 and 11.\nAnswer: 5566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417*f - 4624 = -425*f. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119160 - 119160 - 5*w - 6*w - 14*w.\nAnswer: -25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -485 divided by -466\nAnswer: 485\/466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 13*m = 10*m + 25, -3*m + 17 = a. Let h(x) = a - 7*x + 9*x - 2 - 12. What is h(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -398\/11 not equal to 22.91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25445 is divided by 2313.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 3*q - 4. Let o(d) = 4*d**3 + 11*d - 15. What is 6*o(b) - 22*v(b)?\nAnswer: 2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = n. Let k(g) = g**3 - 11*g**2 + 21*g - 12. Let q be k(n). Let w be (-243)\/(-2) - (-3)\/(-2). Calculate the highest common factor of q and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}