diff --git "a/data/dm_maths/full_data/1800_11255.jsonl" "b/data/dm_maths/full_data/1800_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1800_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Differentiate -2*v**4 + 2*v**3 - 93*v**2 - 43*v + 1167886.\nAnswer: -8*v**3 + 6*v**2 - 186*v - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 14*s - 65. What are the prime factors of v(-21)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to 68495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -4*j - 2*s, -2*s - 2*s = j - 46. What is the lowest common multiple of 1 and j\/((-12)\/(-4)) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlznz. Give prob of picking 1 z and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -12 (b) 0.03 (c) 3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5733837, 11467682, 17201527?\nAnswer: 22935372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 1. Let i be x(-2). Calculate the greatest common divisor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + m**2 + 6*m - 8. Let q be t(2). Let d = 0.2 - 1. Let f = 0.2 - d. Is q greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 9) + 128 + -120\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 110*r = -226548. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 76*p**2 + 593*p - 20. What is t(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**4\/6 - 11*u**2. Let k = -8 + 12. Let o(z) = k*z**2 + 13 - 13 + 6*z**2. Give v(o(r)).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -0*s - 11312. Let g = 3853 - s. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -213 + 76. What is t rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 a, and 1 i when three letters picked without replacement from iyaaiayaiiyyxyaiyy.\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1)\/3 - -36. Suppose 2*s - u = -2*c, -2*c = 3*s - 52 - 0. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72388206 by 4338.\nAnswer: -16687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -12 + 18*b - 11*b**2 - 6*b**2 - 5*b**2 + 20*b**2. Let d(x) = -x + 1. Suppose -4*h = -2*h - 24. Let c(f) = h*d(f) + g(f). Suppose c(w) = 0. What is w?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 27552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -598*g**3 + 0*g + 3*g + 50*g**3 - 3*g.\nAnswer: -548*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 56 - 11. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 8 = 2*j, 39*j - 36*j - 5*t + 2 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 28, 1 in decreasing order.\nAnswer: 28, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -230.5.\nAnswer: -230.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i + 4*h + 64 = 0, i + 2*h - 24 = 0. Calculate the remainder when 63 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/9? (a) 4 (b) -0.3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-2)\/6 - (-9)\/(-15)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3564*z - 3562*z - 3*s - 2597 = 0, z - s - 1296 = 0. What is the remainder when z is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -20. What is the remainder when 1\/((1\/3)\/1) is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/15 - 234\/30?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 7. Suppose -2*s - 5*m = 8, -s + 2 = m + 9. Let c be r(s). Suppose -2 = -2*g + c. Solve 0 = 5*n + 3*i + g, 0 = -5*n + i + 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*u**2*w**2 + 135*c*u**2 - 4071*c*u*w**2 + c*u*w + c*u + c*w wrt w.\nAnswer: 2*c*u**2 - 8142*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 5*x + 111. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v**2 + v + 0 + v**2 + 2 - v**3. Is a(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/24*(-15 + (-90)\/(-12))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g - 52*g - 3*g + 16*g - 9*g.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(30\/9*3). Let v = 0.1 + 0.4. Which is the nearest to -1? (a) v (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -4*v + 7*v - 29, -3*v = -2*x - 25 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 19*u - 19. Suppose c + 4 = -5*h, 2*c - 3*c - 4 = 3*h. Let j be (-6)\/12 - 42\/c. What is the tens digit of p(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, 3, -1\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n + 28. Let k(u) = 4*u + 56. Let s(y) = 7*d(y) - 3*k(y). What are the prime factors of s(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 10) in base 11?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294790678.\nAnswer: 2, 7, 13, 23, 70423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -349 - -2021\/6. What is the common denominator of h and -119\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.91 + 0.09. Let m = 10 - v. Let s = -6 - -1. What is the second biggest value in m, -2\/9, s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-5\/4)*g\/g**34*(g**(7\/4)*g*g)**(5\/8))**(10\/19) assuming g is positive.\nAnswer: g**(-4545\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -4*w + 21*w. Find the second derivative of 0*l - 2*l**4 - 2*l + 1 + w*l - l**3 wrt l.\nAnswer: -24*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 10*d - 11. Suppose -58*u = x - 55*u + 15, -5*u - 25 = 2*x. Determine t(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 76*q**2 - 36*q + 5. Let v be i(1). Solve v = -3*b + 5*o + 54, 5*b = 2*o - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 24. Let p be 21\/49 + (-1)\/35. Factor -p*f**h + 0 - 2\/5*f**3 + 2\/5*f**5 + 2\/5*f**2 + 0*f.\nAnswer: 2*f**2*(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 13*f + 1122. Let q = 736 - f. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -28*v**3 + 3. Let b(s) = 1175*s**3 - 125. What is 3*b(a) + 125*r(a)?\nAnswer: 25*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.04.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 13612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 + 19 = 0. Let g = -6 + n. Solve 3*z + 0*c - 9 = -2*c, c - g = -4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y**(-7)*y)\/y)\/y)\/(y**(-2\/11)\/y*y))**(8\/13))**(-33) assuming y is positive.\nAnswer: y**(2064\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**5\/20 + 5*i**4\/12 - i**3\/6 - 12*i**2 + 143*i. Calculate n(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1553*t - 14734 - 766*t - 788*t to x + a*t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.2, -5\/29, -1\/8, -0.1?\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*k**3 - 4474*k**2 - 2*k - 249981 wrt k.\nAnswer: 33*k**2 - 8948*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -385.49497 rounded to the nearest integer?\nAnswer: -385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**7\/1680 + d**5\/80 - d**4\/24 + 2*d**3\/3 - d. Let c(y) be the second derivative of s(y). What is f in c(f) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 1326, -1\/2, -2\/9.\nAnswer: -1, -1\/2, -2\/9, 1, 1326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -210.09 - -210. Put p, -7, 3\/8 in descending order.\nAnswer: 3\/8, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -31*x + 52. Let q(z) be the first derivative of 1\/4*z**4 + 0*z**2 + 7*z + 0*z**3 + x. What is q(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 16 - 7. Suppose h*x + 10 = 19. Suppose -5*z + 42400 = -2*r, -x*r - 3*z + 5*z - 63600 = 0. Round r to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 e, and 1 c when four letters picked without replacement from {i: 3, e: 5, c: 1, a: 2, g: 6, t: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j = -23*j - 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36720 and 168750?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -190*k - 2563*k - 1697*k - 1611*k - 945*k as j*k + g and give j.\nAnswer: -7006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d - d + d)*(13 - 3 + 4)*(-24*d + 57*d + 3*d**2 + 2*d**3 - 31*d) to the form s + j*d**4 + l*d**3 + n*d**2 + i*d and give j.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 12:02 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyggyyyy.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 48 = -160. What are the prime factors of g\/((-640)\/(-24)) - 2406\/(-10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqxcjwr. Give prob of sequence wcrx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*j - 5436 - 5663 = -4371 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*y + 1 = 0, y + 0 - 2 = 0. Let w = z + 10. Sort -3, w, 0.\nAnswer: -3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-309)\/1236*((-1)\/3 - (-22)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.28, 31\/3, -411, -5, -0.3?\nAnswer: -411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 + -68. Suppose 0 = f*x - 38*x. Solve s + 1 + 3 = x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from ywp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/8261352 and -47\/3762.\nAnswer: 8261352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10553*v + 10553*v + 931*v**2.\nAnswer: 931*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 38 = -2*q. Let j = q - -33. Suppose j = g - 86. What is g rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26a8 (base 15) in base 2?\nAnswer: 10000001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/(-21))\/((-1)\/(-504)). Calculate the greatest common factor of b and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 6*w - 914. What is the units digit of y(-31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -84*i**2 + 49*i - 49. Let n(z) = -7*z**2 + 4*z - 4. Let d be (-14)\/(-8)*2 - (-7)\/14. Calculate d*k(y) - 49*n(y).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = x - 5*k, 2*x + 18 + 30 = -4*k. Let n = 43 + x. Let s = n + 28. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36792 and 6438600?\nAnswer: 6438600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2055 - 1089. Let z = 1848 - o. Does 63 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/6*(-1050)\/27125*31.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w + 24. Let n be a(-7). Let i be n\/12*71532\/(-16). Suppose 0*l - 6*l + i = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236672398 is divided by 59168099.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 10. Let q(z) = -z**2 + 7*z - 3. Let n be q(3). Let i be j(n). Let b = 3 - i. Solve 0 = 4*y - 6 + b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 22*v**2 - 12*v + 13. Is u(-21) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*z + 579*g**2*z + 3*g*z + 156*g - 2 wrt g.\nAnswer: 6*g*z + 1158*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.321 - -0.121. Sort -3, x, 10.\nAnswer: -3, x, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.4415 and -482 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4\/8 + 436*h**3 + 5235*h**2\/4 - 267*h + 6. Factor j(w).\nAnswer: -3*(w - 1745)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*l - 50 = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12223 is divided by 1109.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112769096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - z - 59 = -0*z, 5*z + 25 = 2*w. Suppose -m - 3 = 0, m - w - 26 = -4*h. Calculate the highest common factor of 77 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145 - 145 - 29*k)*(-4*k**3 + 4*k**3 + 2*k**3) + (-k**2 + 4*k**2 - k**2)*(-2*k**2 - 1 + 1).\nAnswer: -62*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/12*1\/6. Let x = 5.9 - 6. Let m = 6.9 - x. Sort -1, m, h in descending order.\nAnswer: m, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egsdjddd. Give prob of sequence sde.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -2\/3 (b) -4\/5 (c) 1\/3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-312)\/16*(-14)\/21.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*t = -3*d + 51, 5*d - 74 = 4*t. Suppose -r + 13*h + 1089 = d*h, -6 = 2*h. What are the prime factors of r?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**4\/24 + r**3\/6 - 33*r**2 + 2*r. Let a(j) = 3 + 2 + 0 - 6. Give -4*a(x) - 3*k(x).\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 976677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 272 and 136.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -67.4966 and 3?\nAnswer: 70.4966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1\/22 (c) 2.06 (d) -15 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 45536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**5\/20 - m**3\/6 - 5*m**2\/2 - 2*m. Let h be d(0). Sort 11, -4, h in decreasing order.\nAnswer: 11, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15465 + 16206\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -868 - -888. Let t(s) be the first derivative of -h - s**3 + 3\/2*s**2 + 18*s. Factor t(w).\nAnswer: -3*(w - 3)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*a + 5*a**5 - 20*a + 38*a + (4*a**5 - 2*a**5 + 0*a**5)*(5 + 0 - 3) - 3*a**3 - a**5 + 3*a**3)*(5 - 4 - 3).\nAnswer: -16*a**5 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23704 = -359*i - 8985 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u**9\/u)\/u)\/((u*u**(-4\/9))\/u)*u**(-18)\/u*u*u**32\/u assuming u is positive.\nAnswer: u**(202\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2731 (base 12) to base 4\nAnswer: -1012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -44302805\nAnswer: -354422440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m + 52*m + 30 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 4*h**2 - h + 1. Let p be c(2). Find the third derivative of -4*s**5 - p*s**2 + 6*s**5 + 3*s**2 wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2197\/27, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 - 26 + 2*n - 22 + 44 to the form c + q*n + z*n**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 11*z**3 - z**2 + 10*z + 7. Let p(u) = -u**3 - u**2 + 2*u. Determine 4*p(i) - t(i).\nAnswer: -15*i**3 - 3*i**2 - 2*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4.09. Let b = 0.05 - u. What is the closest to b in 1\/5, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109*m + 228.\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -152 - 1322. Let t = v - 137. Which is the closest to -3? (a) -1\/8 (b) t (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -104*x**2 + 91. Suppose -4*f = -76*f - 144. Let n(r) = -r**2 + 1. Determine f*v(m) + 182*n(m).\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*s + 32*s - 6. Solve 3*d - 10 = 2*v, -1 = -v - s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 374, 913, 1802, 3215, 5326?\n\"Answer: 29*s**3 + s**2 + 333*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -140*c**2 + c + 1. Suppose 0*q = 3*q + 3. Let h be s(q). Is (5\/(-10))\/(2\/h) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6447 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 1 - 27. Is m at least 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/10)\/(2\/(-10)). Let x be 2 + -4 + (-18)\/o. Let f(t) = t**2 - 7*t + 4. What is the units digit of f(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1155 + 1221 + (-2 - -2 - 28).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 7. Factor -2 + 2*m**2 + 1 + 0 + 5 + a*m.\nAnswer: 2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 39 = -12*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 203?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7570927 is divided by 688266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 23, 55, 103, 173, 271, 403, 575?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 + -16161?\nAnswer: -16251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 375*f - 730. Calculate the lowest common multiple of 85214 and n(-123).\nAnswer: 340856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(-87))\/((-1)\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(0 + (sqrt(847) + (-1 + -1*sqrt(847))**2)*-1)*6.\nAnswer: -15265 - 594*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 45 = -3*d, 2*m + 0*m - 51 = -3*d. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, 213.\nAnswer: -8, 2, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2908 - -3189. What is the greatest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 - 1 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 0*u + 5*u - 125, -2*a + 50 = 5*u. Suppose 2*d - 3*j = d + 27, -5*j + a = 0. What is the remainder when 166 is divided by d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5380.\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 18. Suppose g*y - 22 = 2*i, 5 = -3*i - 10. Suppose 0 = 2*r - v + 6*v + 34380, y*v = r + 17216. What is r rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 - (3 + 11 + -12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 2*s**2 + s - 5. Determine t(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 12055*p - 719700.\nAnswer: -(p + 60)*(p + 11995)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 2\/9, -217, -5, 2\/7?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*w - 173*w = -329*w + 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -6*n - 40, 2*n - 32*a + 8 = -28*a. Let y(b) = 3*b - 2. Let m = 10 - 5. Let g(d) = 2*d - 2. What is m*y(f) + n*g(f)?\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d + 7. Let c(s) = 13*s - 9. Let r(b) = -12*b + 10. Let x(n) = -5*c(n) - 6*r(n). Let l(q) = -13*k(q) - 6*x(q). Give l(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 473a (base 14) to base 5.\nAnswer: 344100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) 10\/3 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12897*s + 12797*s + 3*v = 276, 0 = -5*s - 5*s - 3*v - 54 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 55 = 20*y. Suppose -2*p = -s + 2 + 3, -4*p - s = -5. Let n = p - -14. What is the remainder when n is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2907 by -7566.\nAnswer: 969\/2522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 133549597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*w = 0, -2 = -2*c + w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 8 = 3*k, -z = -3*k. Let p be z\/(-63) + (-6)\/(-21). Which is the third smallest value? (a) -2 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3172 or 15861\/5?\nAnswer: 3172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (4 + -2 + -1) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*i**2 - 10537232 + 21074458 - 10537223.\nAnswer: -59*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4857 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-160)\/24 - -5) + 46\/27. Which is the third biggest value? (a) u (b) -4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*w + 45 = 0, -535*w = -3*l - 532*w - 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23db (base 15) to base 4.\nAnswer: 1313033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 816 and 1428.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14898?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*y - 18. Suppose -s + y*s - 10 = 0. Factor 0*r + 2\/7*r**5 + 0*r**3 + 0*r**4 + 0*r**s + 0.\nAnswer: 2*r**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70015937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 286, 289, 292, 295, 298?\n\"Answer: 3*k + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9372330 to the power of 1\/2, to the nearest integer?\nAnswer: 3061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152 - 77. Let p = -107 + o. Let a = p - -32.2. What is the second smallest value in -0.1, a, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 41*p. Suppose -5*w = -4*r + 62, 0 = -0*r + r + 5*w - 28. Let b = r + -11. Is z(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8607 - 449267.94?\nAnswer: -457874.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2, -176, -3533 in decreasing order.\nAnswer: 17, 2, -176, -3533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3105 (base 8) in base 6?\nAnswer: -11233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.718 - 0.562. Round v to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 1275*a**2 - 6 + 1 + 10*a - 1269*a**2 + 5*a**3 in the form z + k*a**2 + g*a**3 + s*a and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + 2 + 4.\nAnswer: 6 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -46, -97, -150, -205, -262, -321, -382?\n\"Answer: -r**2 - 48*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 5 + 337*p**4 + 2*p**3 - 338*p**4 - p**2 to c*p**2 + r*p**4 + t + g*p**3 + u*p and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11617, 46466, 104549, 185866, 290417, 418202, 569221?\nAnswer: 743474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -3*z + 11, -2*k + 4*k + 5 = -3*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i + 6. Let x(g) = -g - 1. Determine -4*l(j) - 22*x(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1 + 3*i - 106*i**2 + 108*i**2 - 1. Give s(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, e: 1, q: 3}. What is prob of sequence ooeq?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a hour in seconds?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/24 and 2\/(-7) - 8\/12320*785.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39236 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00933 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 918*88\/(-2112) + 35\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x - 15. Let l(u) = u**3 + 11*u**2 + 16*u - 21. Let t be l(-9). Let o(n) = -n - 14. Let i(a) = t*o(a) + 2*j(a). What is i(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 - 1. Suppose -11 = -3*w + 4. Let d(y) = -39 + 20 - 2*y + y + 25. Let b be d(w). Give a(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7374*h*q + 2642*h wrt q.\nAnswer: -7374*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107557 (base 8) to base 15.\nAnswer: -ad2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 114 = 20*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 12 + 5)*(-6*m + 19 - 19 + (-4*m + 5*m - 3*m)*(-3 + 4 - 3) - 2*m + m + 2*m + 0 - m + 0) to z + u*m and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 11. Let s(r) be the first derivative of -r**4\/4 + 7*r**3\/3 - 3*r**2 - r + 1. What is the remainder when 36 is divided by s(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = 373*c + 482 + 101 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 9. Let p be g(0). Suppose -10 = -p*n + 4*n. Solve 0 = n*s - 3*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/238900 and -39\/175.\nAnswer: 1672300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 585\/8 - 2131\/24. What is the common denominator of g and -19\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, -45, -5, -4, -8 in increasing order.\nAnswer: -45, -8, -5, -4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8284 is divided by 353?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561 = -122*g - 2367 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00179228 to five dps.\nAnswer: 0.00179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 - 15. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 7*s**2 + 5*s + 5. Let o be r(6). Calculate the remainder when 68 + (-3 + 6)*o is divided by 28\/2 + 1 + 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.708 - 4.0514. What is j rounded to two decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 + -602\/5. Calculate the common denominator of (-2)\/8*1962\/45 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 1. Let f(c) = -378*c - 18. Let q(y) = f(y) - 30*h(y). Let j be q(-3). Let g = j - 847. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -492 divided by -4\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2085*g - 1. Let a be w(-17). Suppose 9754 = -10*d + a. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 749 = 4*v - 89, -v - 159 = y. Let h = -67 - v. Suppose h = 3*i - 3*x, i - 3*x = 4*i - 120. Is 36 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 432 divide 17553443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15856052?\nAnswer: 2, 3964013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 - 6*m**2 + m**2 - 3*m**2. Let h(t) be the first derivative of -t**3\/3 + 2. Give h(l(b)).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**5\/30 - k**2. Let j(d) = -15*d**2 + 6. Let c(v) = 104*v**2 - 40. Let o(p) = 3*c(p) + 20*j(p). Give z(o(l)).\nAnswer: -288*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3601 = -12*n - 3661 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - -21) + 112681\/(-2406)?\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -524*y + 188121. Determine d(359).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1\/(-1) + 2. Suppose -1 - 5 = 2*q, -4 = -j*s + 2*q. Let l = s - -2. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4504302683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*r + 26*r + 256*r**3 + 21*r + 31*r + 24*r + 2*r**2 + 2 as k*r**3 + b + g*r + d*r**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z = 0. Solve -3*y = -z*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.82481117 rounded to 4 decimal places?\nAnswer: 11.8248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j + 1. Let r be t(-2). Suppose -k = -2 - r. Let q be 5\/(k\/18) + -1. Solve -4 - 1 = -q*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318609293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -155.9 and -1.666303.\nAnswer: -157.566303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, 273\/4, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3440 is divided by 123?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 - 203. What is the tens digit of -3 + r\/(-4) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(2 - 26\/14). Suppose 0 = 32*w - 46 + 206. Let i(j) = j**2 - j - 15. Let q be i(-3). Put y, w, q in increasing order.\nAnswer: w, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326 = -71*y + 28 + 14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 11:21 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 14 (c) -0.3 (d) 2 (e) -1\/84\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8065 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, 85, -12\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*w - 16, 86882*w - 86881*w = s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27 - 25)*(-6 - (-10 - -5)). Let x(q) = q**3 + 5*q**2 - 3. Determine x(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-36)*-2)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16a98 - 24?\nAnswer: -17011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52181850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2995021395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218, 220, 222?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201670 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4792 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/16*560\/175.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + o + 12. Let z be k(0). Suppose -4*y = -8 - z. Let r(f) = f**2 + f - 2. Calculate the lowest common multiple of y and r(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33\/2)\/((-5)\/2). Let s(o) = 14*o**2 - 173*o - 1419. Let m be s(18). Which is the nearest to 0.1? (a) m (b) 0.2 (c) p (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhbb when four letters picked without replacement from bpcobhbbbbhpcbbobhb.\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/16)\/d*d*d)**13)**(-28) assuming d is positive.\nAnswer: d**(-2821\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 302.\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 64 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + 31*q - 16. Calculate z(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**5\/60 + 3*r**2. Suppose 2*j = 15 + 43. Let x(s) = 8*s**2 + j*s**2 - 24*s**2 + 18*s**2. What is m(x(w))?\nAnswer: -961*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 21. Let b(r) = -3*r - 14. Let d be b(-3). Let x = -0.494 + -0.506. What is the third smallest value in x, g, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (81\/54)\/(6\/16). Suppose k - 4*o = l, 2*k - 28 = -6*o + 4*o. What are the prime factors of ((-42)\/k)\/7 - 309\/(-2)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, b: 4, t: 5}. What is prob of sequence bbt?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**4\/2 - 11*b**3\/3 - 10*b**2 + 23*b + 159. What is the remainder when 268 is divided by c(7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -p - p, 6 = 2*c - 4*p. Suppose c = 7*i - 8. Solve 0 = n + 2, -i*u = -2*n - n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.8 + 13. Let v = 0.2 - q. Let c be 2\/6 + (-2)\/(-3). What is the closest to c in -0.1, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2891453848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((4 + -3)*-1). Suppose -3*j - 2*j - 11 = -3*l, f*l + j - 3 = 0. Solve y + 5 - l = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200166912 divided by 7898\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20ac1 (base 16) in base 14?\nAnswer: 36aad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142349535 - 142349409.999782. Let r = y - 125. Round r to five dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -13\/3, 787, -0.1, -1\/4?\nAnswer: 787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -899*b + 908*b + 54 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 0*q - 1\/24*q**4 - 9 - 1\/9*q**3 + 0*q**2. Suppose s(z) = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111001101 (base 2) to base 15.\nAnswer: -44d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3 + a**2 - 2*a**2 + 2*a + 3*a**2 + 2*a**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0517188 + 12.9482612. Let a = -13 + l. What is a rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30285262471 - 0.4\nAnswer: 30285262470.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 13) to base 4.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-8)*w)\/w)\/w**(-8))**(-1\/29) assuming w is positive.\nAnswer: w**(-1\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4640 take away -1.2?\nAnswer: -4638.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38236295473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 56, 0, -4, -3, 2 in increasing order.\nAnswer: -4, -3, -1, 0, 2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 7:01 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 26 + 34*w.\nAnswer: 34*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - 2 - (2 - 9\/(-3)). Let s be (i + 5252)*(-2800)\/3. What is s rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*u - 237*u + 849*u + u**2 + 382*u - 1 + u**3 to the form w*u**3 + o*u**2 + l*u + q and give l.\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 104*p - 1065. Give l(61).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o**5 + 3*o**3 - o**3 - o**4 - 9*o**5)*(53 - 83 + 101).\nAnswer: 213*o**5 - 71*o**4 + 142*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 100 = -5*a, 4*a - 48 = -4*r - 0*r. Let s = -14 + r. Suppose -s*h = -2 - 0. Which is bigger: 2\/9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 1 + 1 + (4 - 4 - 2*w)*(5 - 5 + 2) - 2*w - 2*w + 6*w)*(-5 + 2 + 1) - 4*w - 5*w + 5*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*f**2 + 71*f**2 - 285*f**2 + 93*f**3 + 75*f**2 + 67*f**2.\nAnswer: 93*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(8\/(-3) + 1). Suppose -3*l + 33 - 3 = 0. Solve 0 = x + 2*j + l, 5*j = -g*x - 9 - 26 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31035 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 8*d + 768. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*k - 2. Suppose -14 = -5*b + 3*c + 11, -3*b = -c - 19. Let j(w) = 6*w**2 - w + b*w + w. Let y(i) = -i**2 - i. What is k*j(z) - 8*y(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -80 and -30.\nAnswer: 2400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1064660.\nAnswer: 2, 5, 53233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -3)\/((-3)\/(-24)). Let d = h + 24. Let c be (-15)\/(-6)*d\/(-110). What is the second biggest value in -3, -4\/7, c?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(3) - sqrt(9)\/(sqrt(12)\/sqrt(4)))*3 - (-4 + (sqrt(300) - sqrt(300)*1)))*-1)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + 4*t + (-3 + 0 + 2)*(0*t - t + 0*t))*(3*t**3 + 2*t - 2*t)*(36 - 3 - 3)*(-t - 4*t + 4*t).\nAnswer: -270*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5054 - (0 + (-28)\/(-20))*-5 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3136 (base 10) to base 13\nAnswer: -1573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4))**(-5\/3)*((((c\/c**(-2\/7))\/c)\/c)\/c)**10*(((c*(c**(-3)*c)\/c*c)\/c)\/(c*c**3))**(-36) assuming c is positive.\nAnswer: c**(16669\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (64\/144 - 1\/9)*-3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.015 + -5.885. Let m = h + 5.985. What is m rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 197, 204, 217, 236?\n\"Answer: 3*s**2 - 2*s + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -13804*v + 207064. Determine p(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252558460 by -476.\nAnswer: -530585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-44))\/(2\/4). Suppose 0 = 2*j - 0*j - 2. Let c = j + -1. Do c and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457348 is divided by 457082?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 15*p**2 + 12*p - 1. What is the hundreds digit of q(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1061449*z. Let p(l) = 230*l**2. What is p(f(u))?\nAnswer: 259135015308230*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 19*v**2 - v + 16. Let d be f(19). Let o(x) = x - 1 - 2 + 5. Let g be o(d). Which is the smallest value? (a) -4 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 15*z + 2*z - 39. Which is the smallest value? (a) 0 (b) z (c) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 1, 3, 0.1, -5989?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -21*i - 139. Let d(n) = 3*n - 46. Let k be d(13). Let w be f(k). Solve -p = 2*x + w + 3, 4*p - 16 = 4*x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**5\/20 + 5*c**4\/6 - 4*c**3\/3 + 7*c**2\/2 + 10*c. Let k be p(8). Suppose 3*i = 52 + k. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhuehuuhuuuuh. What is prob of picking 4 u?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + 32*j**4 - 6*j**3 + 6*j**3 - j + 12 - 33*j**4 to the form b*j + y + k*j**4 + x*j**3 + v*j**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306399733 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31071675 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 741 = 34. Let t = l - -549. Round t to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 106?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o + 20. Let p = 4 + -8. Calculate the remainder when (p\/(-6))\/(o\/294) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7189, -14543, -21879, -29191, -36473, -43719, -50923, -58079?\n\"Answer: g**3 + 3*g**2 - 7370*g + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*((0 + sqrt(3))*-6 + -2)**2.\nAnswer: 120*sqrt(3) + 559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/4, 2\/23, 1\/39, -1\/3, -7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/5)\/g*g*g)\/g**10)**(-46))**(1\/4) assuming g is positive.\nAnswer: g**(1081\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 h when four letters picked without replacement from {c: 2, h: 7, p: 2}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*l - 2*o, 6098*l + 85 = 6093*l + 5*o. Let g(n) = -n**2 + 5*n - 1. Let y be g(4). Suppose -y*f + 25 = 2*f. Sort -5, l, f in descending order.\nAnswer: f, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - c**2 + c + 1. Determine w(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3200216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 9 = -5*y + 4, 2*y = 0. Solve 0 = 2*w + m - 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -709, -645, -575, -499?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5239191km to nanometers.\nAnswer: 523919100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756483 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*d**3 - 124*d**3 + 39*d**3 + 42*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*o**4 + 64*o**3 + 2*o**2 - o + 467?\nAnswer: 108*o**2 + 384*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 5. Let t be h(3). Suppose -2 + t = 2*u. Suppose 0 = 6*i - u*i + 4*y + 4889996, 5*i - 3*y = -8150003. Round i to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -111, -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 169430.7699 milliseconds in weeks?\nAnswer: 0.00028014346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/14*(-8379)\/(-513).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -10*r**2 + 2*r. Suppose 9*t - 10 = 4*t. Let m be x(t). Let u be (21\/(-12))\/(3\/m). Calculate the highest common factor of 84 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1206085 and 6639.\nAnswer: 3618255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131287707 + 131287702.99999995. Let c = -7 + 3. Let h = b - c. Round h to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 544, 1084, 1624, 2164, 2704, 3244?\n\"Answer: 540*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -351374819*g**2 - 317173315 with respect to g.\nAnswer: -702749638*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6734 and 87906.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 54986 and 5474.\nAnswer: 60460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Let c be ((0\/(-1))\/o)\/(-1). Suppose -2 = -t - 0. Solve 3*i - k - 5 = -0*k, c = -t*i - 4*k + 22 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27740573.85954+0.4\nAnswer: -27740573.45954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1010, -1011, -1012, -1013, -1014?\n\"Answer: -a - 1009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 + 3 - 170*c**3 + 470*c**3 - 77*c**3 in the form b*c + j*c**2 + n*c**3 + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -45643242?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 4*c - 32 + 7, 4*f = -5*c + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -24*k**3 - 8*k**2 - 31*k - 11. Let v(b) = -16*b**3 - 5*b**2 - 20*b - 7. Calculate 5*u(g) - 8*v(g).\nAnswer: 8*g**3 + 5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 4 + 31 = 0. Suppose c + y*v - 3*v = 66, v + 117 = 2*c. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1611.2 and 0.4.\nAnswer: -644.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.683 - 0.883. What is the third smallest value in 2\/35, m, -4?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310 and 15790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -24, -2, 3 in ascending order.\nAnswer: -24, -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4704 and 365736?\nAnswer: 1462944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8867986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -9. Let p = -44 - -49. What is the closest to -4 in s, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-7) - 2850\/175?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-1 - 2) + (310\/(-124))\/((-18)\/(-60)).\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 4. Let v(o) = -x + 5 + 2 - 3*o + 2*o. Calculate v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-12)*74*-1*(228\/19)\/(-4).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggfagfghfkhg. What is prob of sequence ga?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 12*q**3 - 7*q**2 + 5*q. Let j = -17 + 20. Let f(o) = -6*o**3 + 3*o**2 - 3*o. Let p(g) = j*n(g) + 5*f(g). What is the third derivative of p(y) wrt y?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 46*x. Let g(b) be the third derivative of 7*b**5\/15 - b**2 - 571*b + 1. What is f(g(u))?\nAnswer: 1288*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5787430 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: Calculate the common denominator of -97\/646 and -161\/30.\nAnswer: 9690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h + 5*r = 21, -3*h + r + 1 = 0. Suppose 0 = -5*n - 4*u + 9, -h*u + 7*u = 3*n + 2. Differentiate n + 0 - 4 - 4*k - 3 with respect to k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25407401.4 + 7.\nAnswer: -25407394.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.27 + -1.47. Which is the second biggest value? (a) v (b) 2 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -9*y**4 - 8*y**2 - 4*y - 4. Let z(q) = 9*q**4 + 8*q**2 + 3*q + 3. Let l(h) = 3*d(h) + 4*z(h). Find the third derivative of l(f) wrt f.\nAnswer: 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(343) - (sqrt(343) + -1 + 5)) + -2*(-2*sqrt(252) - sqrt(252)) + 1 + 0.\nAnswer: -3 + 57*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 4:49 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*((-2)\/(-8))\/(30\/40). Solve w = 4*i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 + 115*o + 4. Let q(g) be the second derivative of g**3\/3 - 2501*g. Determine q(r(b)).\nAnswer: -6*b**2 + 230*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -345.3776 + 340.6. What is u rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 15. Let o(h) = -3244*h - 24330. Calculate 1622*f(u) + o(u).\nAnswer: -1622*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7) + 1 - (-35 - -30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -174, 216, 0, -13 in decreasing order.\nAnswer: 216, 0, -13, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 5, -0.151, -4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3079 (b) 22 (c) 1\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -14. Let h(x) = -x**3 - 12*x**2 - 2*x - 6. What is the units digit of h(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013890 rounded to the nearest ten thousand?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 565684, 565513, 565342?\n\"Answer: -171*r + 565855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2331*u - 18 = -2340*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 11*u**2 - u + 12. Let h be k(-11). What is the greatest common factor of h and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*c + 39108 = -81*c. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4494 divided by 3987.\nAnswer: -1498\/1329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3 + w**2 - 3*w**2 + 2 - w**3 + w**2. What is the tens digit of h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 7*j**5\/5 - 35*j**4\/24 + 35*j**3\/6 + 125*j**2. Let s(h) = -7*h**2 + 3*h - 3. Determine -70*s(k) - 6*t(k).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4175?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1366\/(-93)*(-4)\/560. Let i = n + -3\/310. Suppose 2*t + 4*o - 2 = 0, 0 = 3*o - 4*o + 1. Which is the third smallest value? (a) t (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1484 and 56?\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 2*z + 127 - 104, -3*z + 17 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14481671 and -4.\nAnswer: -57926684","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 345 and 42925485?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**3 - 9*p**3 - 5*p**3.\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -26*w + 153. Let x(p) = p**2 - 5*p + 2. Let r be x(5). Sort r, -3, -6, w in decreasing order.\nAnswer: w, r, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3202853085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*u = 45 - 14, 0 = -3*i + 5*u - 16. Solve 9 = i*t - 0*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9*f**3 + 22*f**2 + 2*f - 6. Let b(k) = -26*k**3 + 67*k**2 + 6*k - 17. What is 17*a(g) - 6*b(g)?\nAnswer: 3*g**3 - 28*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 - 34. Let r = -12 + i. Suppose 2*c + 3*k - 20 = -k, -2*k = 2*c - 30. Calculate the lowest common multiple of c and r.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 12)\/(14\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21406 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**5\/3 - 13418*j**4\/3 - 22309516*j**3\/3 + 658322756*j**2\/3 + 7436506*j - 219436446 = 0.\nAnswer: -3369, -1, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10561650 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/25)\/((-12)\/10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**4 - 6*y**2 - 3838*y - 97664 with respect to y.\nAnswer: 4*y**3 - 12*y - 3838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 9:56 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5841249*b*t**3 - 1068*b*t**2 + b - 15*t**2 - 3*t + 3 wrt t?\nAnswer: 35047494*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.626 and -8.058.\nAnswer: -12.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**3 - 62*b - 1647*b**2 + 36*b**3 + 4987*b**2 - 1656*b**2 + b**4 - 1655*b**2 = 0.\nAnswer: -31, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/2 + -6. Sort -2\/3, 56, g in decreasing order.\nAnswer: 56, g, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -44, -472, -1654, -3974, -7816?\n\"Answer: -64*o**3 + 7*o**2 - o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-15)\/10*8\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.06, -7\/3, 1\/11, -1\/58, -0.1, 0.094?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f + 35. Suppose 38*v + 7 = 39*v. Let q be (30\/(-2))\/(v - 8). What is the tens digit of d(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w - 7 = 0. Let s(q) = 6 + q**3 - 3*q**2 - w*q**2 - 3. Let m be s(10). Solve -m*k = -0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 m when three letters picked without replacement from cmmmmmbmccbccbmb.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = z - 4*z + 35, -5*l + 4*z = -5. Put 2, -1.9, l, -4 in increasing order.\nAnswer: -4, -1.9, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21425.09 litres in millilitres?\nAnswer: 21425090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 13.5. Let n = 13157.7 + -13158. Which is the fourth biggest value? (a) -10 (b) q (c) n (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -2 + 0*p - 13\/3*p**3 + 0*p**2. Let f(a) = -2*a. Give h(f(k)).\nAnswer: -52*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 51, 78, 105, 132, 159?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3*q**3 + 12034*q - 11943*q - q**2 - 4*q**3)*(3 - 2 - 2) to n*q**2 + l + f*q**3 + u*q and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 + 136 - 161 + 130*q**3 + 144.\nAnswer: 130*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 - (5 + -13 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-7650)*34*9\/4.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -43. Solve 2*q - 3 = 3*v + 4, 5*q - 2*v - 23 = x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12043 in -33, -0.8, -2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z = 0. Suppose 2*y = -z*y - 6. Let r = 3 + -1. What is the second biggest value in 1, r, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5114*y**3 - 64*y + 25325683 with respect to y.\nAnswer: -15342*y**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 21*n**2 + 33*n + 18. Suppose 0 = -3*x + 2*q + q - 66, -76 = 3*x - 5*q. What is the tens digit of j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1362*c - 9527. Let v be n(7). Suppose b + b - 10 = 0. Suppose 4*t - 6 - 2 = 0. Solve -b = -t*k + v*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 14*q**2 - 16*q + 4. Let n = -28 - -15. Is v(n) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 9*a - 544 = -5*a. Which is smaller: a or 60?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310721 at most 310720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41.7 + 5.7. Let i = 47.4 - u. Which is the nearest to 0? (a) 2 (b) i (c) 0.2 (d) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9792198, -9792199, -9792200, -9792201, -9792202?\n\"Answer: -x - 9792197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 813563417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2400678, 2400312, 2399696, 2398824, 2397690?\nAnswer: 2396288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*p + 22*p - 187*p as h + v*p and give v.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 4*k**2 - 2*k + 2. Let s be o(4). Let n be s\/(-5)*60\/8. What is the highest common divisor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*i**5\/7 - 33*i**4\/7 - 30*i**3\/7.\nAnswer: -3*i**3*(i + 2)*(3*i + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010582 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(78\/(-4))\/3. Let t = 12 + b. Put -2, 1, t in descending order.\nAnswer: 1, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q - 5715 + 2061 = 140*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3946893 * 3\nAnswer: 11840679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.47 - -0.03. What is the third biggest value in -4, t, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-44) - 8\/(-44). Suppose -6 - 18 = -4*s + 4*c, 0 = s + 4*c + 4. Sort -1, n, s.\nAnswer: -1, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 6*u - 6. Let m be b(-7). Let o(p) = 2*p**3 + 14*p**2 + 10*p + 10. Let l(a) = -a**2 - 1. Let d(s) = m*o(s) + 6*l(s). Let d(g) = 0. What is g?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.26 > 287.398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3 = -3*d, -2*j = j - 3*d - 18. Suppose -j*y + 45 = 4*i, -4*y - y + 75 = -4*i. Let x = 514 + -509. Solve 0*h = x*h - y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwa when three letters picked without replacement from wwwawwwawwaw?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -13. Sort f, -3, 2.\nAnswer: f, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (98\/(-12))\/(-7) + 2\/(-12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-172)\/2580)\/(4\/(-10)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*p + 66 - 39, -16 = -p + 4*m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1938.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81 (base 15) to base 12.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9289429*2\nAnswer: -18578858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, -3\/14, 5, 1\/2, 52 in decreasing order.\nAnswer: 52, 5, 1\/2, -3\/14, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 337*m - 33 - 535. Let g(u) be the first derivative of -1\/20*u**4 + 0*u + 0*u**3 - 4\/25*u**5 + 0*u**m - 3. Solve g(c) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 10. Let u be d(-8). Let x be (5\/((-15)\/(-18)))\/u. Suppose -4*m + 0*m = f + 14, 2*f + 33 = -x*m. Round f to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.40805 to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 12:25 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-221))\/((-132)\/(-870)) - 44\/(-121)\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -6. Let p(m) = -2*m + 10. Let r be p(4). Let f be 7\/21*1\/r*-2. Which is the smallest value? (a) n (b) 0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -157 or -1420\/9?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -23429877.\nAnswer: 234298.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*f**3 - 55*f**3 + 24*f**3 + 7 + f**2 in the form v*f + n*f**2 + k*f**3 + d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5 plus -0.139?\nAnswer: 9.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**3 - 39444*w**2 + 135878964*w - 101960603420 = 0?\nAnswer: -12695, 1417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*x**4 + 79777*x**2 - 79774*x**2 + 0*x**3 - 2*x - 2*x**3 to p*x**3 + g*x + u + i*x**4 + l*x**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10708629 is divided by 3823.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3. What is n(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 56, 57, 58, 59?\n\"Answer: j + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1337 - 1307. What is the remainder when 1737 is divided by c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c + 38. Let r be z(12). Suppose 181 = r*o - 5*d, -4*o + 2*d = -3*o - 92. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101519777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -91834 and -91828 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119)\/34*10\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 55. Let h be y(-17). Let x(v) = v**3 - 3*v**2 - 4*v + 9. Let u be x(h). Solve -c = u - 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 745706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42839 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -3 (c) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/31499519?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11728347.8 less than 1?\nAnswer: 11728348.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -294b9 (base 14) to base 6.\nAnswer: -2110231","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 7*y**2 + 6*y. Let h be d(-8). Let c be (2 - (-2 + 1))*-10. Let j be 10\/c + (-7)\/(-3). What is the highest common divisor of h and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*u - 4*h - 48, 28 = -2*u - 4*h. Calculate the common denominator of (-7)\/((-3)\/((-6)\/u)) and -53\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/42)\/((-42)\/(-147)). Which is bigger: -165 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*(sqrt(1100) - (0 + sqrt(1100))**2) - sqrt(1100)) + ((-2 + sqrt(1100))*3)**2 + ((1 + sqrt(1100) + sqrt(1100))*2 + 1 + 2 + sqrt(1100))**2).\nAnswer: -163044 - 400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6028 rounded to the nearest 100?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2750573*j**3*z**2 - 2*j + 2*z**2 - z - 86246 wrt j?\nAnswer: -8251719*j**2*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3234+4\nAnswer: -3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3696, 7161, 10632, 14109, 17592?\n\"Answer: 3*q**2 + 3456*q + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33431 (base 5) to base 7.\nAnswer: 6620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1044179 * -0.4\nAnswer: -0.04176716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blbblbbblllbbbbbbbb. Give prob of picking 1 l and 3 b.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 - 198*f\/7 + 28.\nAnswer: 2*(f - 98)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 4.9.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4925202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**7\/840 - k**6\/72 + k**5\/20 - 5*k**4\/24 - 2*k**3\/3 + 5*k**2. Let z(v) be the first derivative of h(v). Determine z(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 79, 810, 2839, 6814, 13383, 23194, 36895, 55134?\n\"Answer: 108*q**3 + q**2 - 28*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30526375 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9297488815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -403537.5 rounded to the nearest 10000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -1\/4, -5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 100, -214*o + 215*o - 2*s = -18. Factor -3\/8*h**o + 0*h + 3\/8.\nAnswer: -3*(h - 1)*(h + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48470702 + 25?\nAnswer: -48470677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 43. Let v be 6\/(-9) - (-70)\/x. Suppose v*f - 850 = q, 4 + 2 = -3*q. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 4:53 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 283*v - 6*v**3 + 2*v**2 + 4*v**3.\nAnswer: -2*v**3 + 283*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**2 + 1435*n + 20819. Give l(-343).\nAnswer: -790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -2\/21, 0.12, 26, -38, 2\/23, -2\/5?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 l when four letters picked without replacement from ljjjlrjljjjjjjjjj.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/4 - 33*w**3\/2 + 793*w**2\/4 + 2442*w + 5476.\nAnswer: (w - 37)**2*(w + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/5495 - -203351\/197820. Calculate the common denominator of -12 - (90\/(-1260) + 638\/(-42)) and l.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1993, -1992, -1991?\n\"Answer: g - 1994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01 and 12905118552.6.\nAnswer: 12905118552.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l. Let m(i) = 4*i. Let j(t) = -11*k(t) + 2*m(t). Let s(b) = -5*b. Let r(y) = 6*y. Let o(p) = -3*r(p) - 4*s(p). What is o(j(v))?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(125) - (sqrt(500) + -2 + -2*sqrt(500)))**2.\nAnswer: 30*sqrt(5) + 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 - -52) + (2 - 2) + -6 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1544 - 2182 = -767*k + 929*k for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90.9 + 91.2. Let n = -14 - -10. Sort 4, n, -2\/9, r in descending order.\nAnswer: 4, r, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 224 and 2156?\nAnswer: 17248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6180041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10483*m**3 + 206*m**2 - m - 109.\nAnswer: -62898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*u - 7. Suppose -4*o = v - 264, 0 = 4*o - u*v - 389 + 141. Suppose 0*j = -5*j + o. What is the greatest common divisor of 39 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -15*v**2 + 9*v + 4. Determine z(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 9*w + 16. Let i be q(-12). Suppose -2*g - 5*x = -x + i, -4*x = 12. Is 5 a factor of g\/(-48)*(-9)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 73087, 73006, 72857, 72628, 72307?\n\"Answer: -2*f**3 - 22*f**2 - f + 73112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -1729.2?\nAnswer: -15562.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3607830 by -721566.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158\/13 - -893\/26. Let i = 3 + -7. Find the common denominator of f and (i\/(-6))\/((-16)\/(-498)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.540912l in millilitres?\nAnswer: 5540.912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17170 = -47*w + 100677 - 6598. What is the greatest common factor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534812 is divided by 170?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 569383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s - 27 = -2535*j + 2530*j + 68, -2*s + 2*j + 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -15468 - 628*s + 15468 in the form p + q*s and give q.\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3148545706 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.072 times 1\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 e when three letters picked without replacement from dessyd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/117230 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -3\/77 (c) 8 (d) -723\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x - 24 = 38*x. Let r = -33 + 51. What is the lowest common multiple of r and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 + 106. Suppose q = 4 - 2. Suppose q*h + 92 = s*h. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3)\/(z\/(z*z**(4\/7)*z)*z))\/(z*z**5*z**(-3))*(z**(-1))**(2\/33)\/(z**(-4)*z*z**0) assuming z is positive.\nAnswer: z**(272\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 71, 146, 225, 308?\n\"Answer: 2*l**2 + 69*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + w**3 + 221*w + 8 - 417*w + 195*w + 2*w**4 + w**2 as j*w**4 + u*w**3 + y*w + l + t*w**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17352*h - 10150*h - 7167*h.\nAnswer: 35*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + -0.3. Suppose 3*i - 8 + 20 = -3*u, 5*i = 4*u - 20. Which is the closest to f? (a) i (b) 4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127127*x + 127111*x - 80 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11828 and 16857857?\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -4*f**7\/91 + 19*f**6\/195 + 8*f**5\/65 - f**4\/6 + 2*f**3\/39 + 33*f - 1. Suppose w(v) = 0. Calculate v.\nAnswer: -1, 0, 1\/4, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - l**2 - 3. Let p be g(0). Let t(s) = -4*s + 3. Let k be t(p). What is the common denominator of -43\/2 and 128\/k + (2 - 5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*t - 68*t. Which is greater: t or 2\/167?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 1 + -4)*2)**2.\nAnswer: -168*sqrt(3) + 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -59378, -474624, -1601698, -3796514, -7414986, -12813028, -20346554?\n\"Answer: -59319*b**3 - 13*b - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y. Let l(h) = -17*h. Let j(g) = 4*l(g) - 5*p(g). Let a(v) = 851*v. Give a(j(n)).\nAnswer: 1702*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 188 - 187.818. Round p to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-125)\/15 + (-1)\/(-3). What are the prime factors of (-1394)\/r + (-28)\/112?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n + 3. Suppose -18*s - 42 = -4*s. Let l(z) = 11*z + 7. Determine s*l(r) + 7*g(r).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -60 (b) 1\/5 (c) 0.5 (d) 3\/7 (e) -8 (f) -4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t**3 + 3*t - 5. Let c(w) = -4*w**3 + w - 3. Determine -5*c(d) + 3*k(d).\nAnswer: -7*d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:03 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + -20 + 10 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481156 + 2*o + 6*o - 10*o + 240578 + 240578.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.186\nAnswer: 0.0744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3586, -4.\nAnswer: -4, 0.3, 3586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027339844.\nAnswer: 2, 9239, 27799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/28 and 47\/182?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44 + 0*y**5 - 35 + 78 + y**5 - 26*y wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + r - 63 = 0, -3*c - r + 2*r = -57. Suppose 0 = -2*l - c + 74. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.942 + 0.058. Let s be ((-18)\/15)\/((-6)\/(-20)). Which is the second biggest value? (a) y (b) 1\/6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -15*w**4\/8 - 2*w**2 + 199. Let r(g) = -g + 24. Give d(r(i)).\nAnswer: 45*i - 1080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574645.\nAnswer: 5, 281, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (924\/(-15))\/((-135630)\/92475)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.077, -3.1?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9*q**3 - 9*q**2. Let z = 25 - 2. Suppose -5*p + z = -7. Let d(w) = -4*w**3 - 4*w**2. Give p*m(g) - 14*d(g).\nAnswer: 2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9 - 4. Let d be 10\/12 - 3*(-70)\/(-180). Which is the closest to n? (a) d (b) 3\/43 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41, 198, 555, 1190, 2181, 3606?\n\"Answer: 13*p**3 + 22*p**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 198*u.\nAnswer: 3*u*(u - 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/24*-4*1\/(-6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148158.\nAnswer: 2, 3, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-6 + -12) - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.997 and 0.3?\nAnswer: 2.3991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -581324881740.\nAnswer: 581324881745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**4\/28 + 5*r**3\/7 - 27*r**2\/14 - 246*r - 141. Let s(v) be the first derivative of o(v). Suppose s(n) = 0. Calculate n.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1749154 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 21*l - 36 = 0. Let i(j) = -760*j + 25. Is i(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89153*l**3 - 2213*l**2 + 7.\nAnswer: 534918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -18*q + 14*q. Solve -31 = -q*s - 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270043 (base 8) in base 10?\nAnswer: -94243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + sqrt(48).\nAnswer: 1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 15, -15*b - 14 = 3*g - 11*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016208475 rounded to 5 decimal places?\nAnswer: 0.00162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -77 * -1.44016\nAnswer: 110.89232","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfpl when four letters picked without replacement from rprlfflbz?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -28*i**2 + 7370*i - 15. Let f(x) = -11*x**2 + 3685*x - 6. What is 5*f(w) - 2*j(w)?\nAnswer: w**2 + 3685*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 16*f**3 + 3*f + 34 - 31 - 10*f**3. Let q(l) = -l**3 + l**2 - l - 1. What is -m(d) - 3*q(d)?\nAnswer: -3*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 10:06 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -251 - -273. Let c(w) = -25*w - l*w - 23*w + 71*w. Let k(h) = -h**2. Determine k(c(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m = 14*m - 21. What are the prime factors of (m\/(2\/(-28)))\/(94\/4653)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 456 and 22.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53.52 - 286.56. Let z = 233 + x. Let l be (-30)\/(-54) + (-4)\/18. Which is the second smallest value? (a) 0.3 (b) z (c) 5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, 179\/9, 1, -4, -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 2:17 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105738.\nAnswer: 2, 3, 17623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1354050, -2707525, -4061000, -5414475, -6767950?\nAnswer: -8121425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1206 and 941573244?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2*t - 8 = 0, -3*y - 79*t - 16 = -77*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0 - 2 - w**5 + (8*w**3 - 3*w**3 - 2*w**3)*(0*w + w**2 + 0*w).\nAnswer: 2*w**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1160 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 5*z**4\/4 - z**3\/3 + 12. Find the third derivative of b(y) wrt y.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 + 42*a - 17*a - 6*a - 16*a in the form m + h*a and give m.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.5585884 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and 0.5?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 797\/319 + 33\/29. Let p = -222\/55 + d. Let m = -9\/95 + -2\/19. Which is the closest to p? (a) 2 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, 273, 5\/22, -2, 3?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**4 + 0*s**4 - 2*s**4)*(-2 + 3 + 4) + 2*s**2 + s**4 - 2*s**2 + (0*s**3 - s**3 + 3*s**3)*(4*s - s - 4*s).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 82196.37t?\nAnswer: 82196370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178 - 72. Suppose 5*h - 465 = -3*u, 3*h + 2*u = 4*h - l. Is h a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19 + 4)*(-9)\/15. Calculate the least common multiple of 12 and (-2)\/l + (-573)\/(-27) + -3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 3*p - 62 + 53 = 0, -4*i = 4*p - 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2 - z**2 + z - z + 2*z. Let v(o) = o**2 - 5*o + 5. Determine -5*f(x) - 2*v(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, s: 1, r: 2, z: 1, a: 7}. Give prob of sequence jz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131682 divided by 43894.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tetteeteeee. What is prob of picking 2 e?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145160 is divided by 2016.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -223856 by -17.\nAnswer: 13168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 - u**2 - 3*u - 1. What is the remainder when r(-3) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t + 1. Let v be g(-2). Suppose -v*h - 4 = -14. Calculate the highest common factor of h and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -7*l**4\/12 - 2*l**3\/3 + 2*l**2 + 441*l - 1. Let i(x) = -x**2 + x - 1. What is 4*i(m) + t(m)?\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4ead3 - 3?\nAnswer: 4ead0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/2*(-8)\/6. Let c = q + 149. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(-24)\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -521, -640, -383, 244, 1235, 2584, 4285, 6332?\nAnswer: 8719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*i**3 + 4*i**2 + 0 - 7\/2*i.\nAnswer: -i*(i - 7)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18817\/2 + -159917\/17. Which is bigger: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v = 76*v - 1512 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138 a factor of 16256413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17834*m**4 - 4055 wrt m.\nAnswer: -71336*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 27*h = 59711. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -81387, -81388, -81389?\n\"Answer: -n - 81386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*x + 8, -3*c + x = -0*x - 8. Solve -5*w - 8 = -c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.81 to 1 decimal place.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6228 and 508.\nAnswer: 790956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4498194 to the power of 1\/2, to the nearest integer?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:13 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 48.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 531673*a**6 + 1186998*a**2 wrt a.\nAnswer: 63800760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k - 4*k + 2624 = 23*k + 115*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4 + 97*z + 2*z**2 - 54*z - 50*z. Calculate the remainder when w(8) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183316 divided by -91658\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/2))**(4\/19)*(x*x*x**(-7))\/x**(-8))**(-2) assuming x is positive.\nAnswer: x**(-126\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337185*q + 9338 = 338519*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/1459 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -2 - -8 - 4 - (6 + (-53 - -14))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2984514 divided by 38263?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 36 = -3*y. Suppose 73*q - 44*q - 17 = 1810. What is the remainder when q is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/4*((-30)\/35)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130994249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/6)\/((-8)\/12). Let s(g) = o + 2*g - 3*g + 2*g. Let u(q) = -1. Suppose 47*x + 5 + 42 = -47. Give x*s(f) - 5*u(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.16? (a) -14 (b) -4 (c) -82.8 (d) -5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 16*s + 16. Give i(7).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = t - 3*t. Suppose 7 + 17 = -t*v. Which is greater: -42\/11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36679 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 t when three letters picked without replacement from tttr?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31088?\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-7 - -1) + 4) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from {o: 2, v: 4, z: 7, q: 2, e: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (2\/10)\/(-30 + 24166502\/805550)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -13. Let v be (-8)\/(-16) - y\/36. Let z = 1\/16 + 3\/16. Which is the closest to z? (a) -5 (b) v (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, and 1 f when three letters picked without replacement from {k: 9, m: 10, f: 1}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-5)\/(358\/(-179)*18\/8).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -38 - (-25 - -45 - 42)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*q - 4. Let i(d) = 13 - 8 - d - q. Let c(p) = 2*p**2. Determine c(i(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175591 and 1352.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, 9, -3\/5, -1\/15.\nAnswer: -2, -3\/5, -1\/15, 0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 + 2*z + 6*z**2 + 55 to w*z**2 + i*z + u and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2851848.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 1 - (-22386)\/(-7). Round a to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1169610 and 18525.\nAnswer: 111112950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -2, -7\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*w + 887, -2*l + 3*w = -2*w - 606. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Solve x = a - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441 + 16*p**2 - 5*p - 441 - 2*p.\nAnswer: 16*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289328, -289331, -289334, -289337, -289340, -289343?\nAnswer: -289346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*a = -2531 + 27, 4*b - a + 4972 = 0. Let t = 4343 + b. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + y - 1. Let b(p) = -4*p**2 - 6*p + 5. Let r be (12\/5)\/((112\/(-35))\/(-8)). Calculate r*z(x) + b(x).\nAnswer: 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*b**4 - 2*b - 6804*b**2 + 6804*b**2)*(-2 - 3 - 2).\nAnswer: -147*b**4 + 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m + 36*m - 605920 = 11*m. What is the highest common divisor of m and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 5:14 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 + 2*u**2 + u**2 - 16*u**2 + 6*u**2 + 16*u**2.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 19 - 16 - 32)*(-3*j**3 + 4*j**3 - 2*j**3) in the form n*j**2 + c*j + v*j**3 + x and give v.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3210449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-34)\/10 + 1)\/(24\/1260). Let v = -124 - a. Suppose v*k - 3*c = 2*c + 5041, 5*k + c = 12670. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 1. Let m(r) = -7*r - 5*r + 1 + 8*r. Determine 2*m(z) + 3*o(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -3, -0.28, 4\/13, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93613 is divided by 1284?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 2)*(4 + 4 + s + 3)*(6 - 8 - 9) as g*s + x and give x.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/14 and 41\/40*25\/(-10).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 230, 378, 662, 1100, 1710, 2510, 3518?\nAnswer: 4752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.2 + -17. What is the third biggest value in y, -2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 28*r**2 - 332*r + 39. Let t be q(-37). Solve t*d = -0*d - 3*f - 11, -5*f = 3*d + 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1375, -1376, -1377, -1378?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -31*u - 19. Let q be g(-1). Let a(s) = 2*s**3 - 22*s**2 - 12*s - 21. Is a(q) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x - 2 + 0*x**3 + x**3 - 3 - 6*x**2. Let d be r(7). Let s(y) = 4*y + y**d + 2 + 2 - 1. Calculate s(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -19*w - 4, w = -w + 4*r - 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31546 - 8654 = -8*s. What are the prime factors of s?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:15 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z - 3*z + 3*z)*(63 + 70 - 131) + (z + z + 0*z)*(2 - 5 + 4) + 5 + z - 5 to g + w*z and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2327 and 1647594?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5394 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 6*s**2 - 131*s + 684. Let k be o(5). Solve 20 = 5*h, -z - k*h = -h - 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 1. Let c(y) = y**3 + 5*y**2 + y + 12. Let d(f) = c(f) - 5*z(f). Let u be (-18)\/(-22)*(-18403)\/5019. Give d(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 1355*v + 35090.\nAnswer: 5*(v + 29)*(v + 242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 + 71*g - 711. Calculate w(24).\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*x + 4589 = 3*m, -3062 = -2*m - 2*x. Does 41 divide m*(-20)\/(-125) + (-4)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -803 - -819. Let v be ((-2)\/(-2))\/((-11)\/(-528)*d). Round v to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**9\/36 - 16*c**5\/15 + 34*c**2 - 12*c. Let n(w) be the first derivative of a(w). Find the third derivative of n(i) wrt i.\nAnswer: -1680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 563\/4110 + -1\/274. Suppose -2*v = 2*v + 4. Which is greater: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 74 = -2*a, 5*a - 2*a - 77 = 4*w. Let i = 34 - a. Sort -3, 1, i.\nAnswer: -3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 3. Let l be x(3). Let i(j) = j**2 + 3*j + 6. Let s be i(-5). Let v = s - l. Calculate the smallest common multiple of 2 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 3. Suppose 0 = 29*w - 34*w - 15. Let h(z) = -z**3 + 199*z - 199*z + 1. Give w*h(i) - v(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -61143994.\nAnswer: 6\/30571997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -236.69 + 0.0542\nAnswer: -236.6358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25550000 rounded to the nearest 100000?\nAnswer: -25600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*k = -329 + 104 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31103 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 1:23 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 0*y - 3*y + (-114 + 138 + 110)*(0*y + 0*y - 2*y).\nAnswer: -270*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -139 - (-2 + 13 + -6 + -18 + 20)?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/45)\/(8\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**4\/24 - 4*u**3\/3 + u**2. Let y be d(-8). Suppose 2*z - 10 = -5*i + 4*z, 5*i = -3*z - 15. Is y != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + g + 32. Let u be g\/(-12) - (-2)\/3. Is (3 + 10)\/(u - 1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -42 + 38 + 11*c**2 + 23*c**2 - 11*c**2 + 13*c**2. Let g(t) = 3*t**2. Give g(h(l)).\nAnswer: 3888*l**4 - 864*l**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, u: 2, n: 2, l: 1}. Give prob of picking 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95369\/10 - 9547. Suppose 0 = -3*m - 2*m + 35. Calculate the common denominator of m\/(-10) + (-2 - -3) and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 154 + (2 - 29)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23943.2 centuries in decades?\nAnswer: 239432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a + 40. Let s(g) = -g**2 - 13*g - 13. What is the tens digit of s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 284568000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 62.9, -51, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/12*((-6)\/(-4) + 54\/(-40))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 - 37*x + 23. What is the tens digit of n(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 + -153. Let z = -2 + 1.8. Suppose 0 = -104*p + 452 + 68. Which is the second biggest value? (a) k (b) p (c) 0.3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 207 + -202. Suppose 2*t + 2517 = l*j, 754 = -4*j + 5*t + 2754. What are the prime factors of j?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*o = -55, -2*q + 2*o - 6*o = -76. Let z be (156\/91)\/(3\/14). Suppose -z*y + 0 = -q. Solve 0*w = -y*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583566985?\nAnswer: 5, 7, 11, 13, 41, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2762, -4976, -12714, -20452, -28190, -35928?\n\"Answer: -7738*w + 10500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = -2. Suppose 4*d = -b*n - 2*n + 121, -5*d + 125 = 5*n. What is the remainder when 82 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6107279.\nAnswer: 31, 197009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -19.99955. What is l rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54203.07l in millilitres?\nAnswer: 54203070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17.6 * 12.949\nAnswer: 227.9024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -56.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1029))\/(1*sqrt(3)*2)*-6*-5)**2.\nAnswer: 694575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -165107.\nAnswer: -165107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15*j - 2. Let u be p(-2). Let q be 10\/(-65) + u\/13. Solve -d + q = -2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -654, -1309, -1964, -2619, -3274, -3929?\nAnswer: -4584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42.161749 + 0.181349. Let v = -42 - l. Round v to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -19*a**4\/12 + 8*a**3\/3 + a**2\/2 - 9*a - 2. Find the second derivative of r(w) wrt w.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 84 - -4e4c36?\nAnswer: 4e4cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -68 (b) 2.75 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*-6*(sqrt(300)*2 + -3 + 2*sqrt(300) + 1))**2.\nAnswer: -47520*sqrt(3) + 1556289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3 + 2*m - 4 + 0*m. Determine j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -235 + 8879*i - 26633*i + 8886*i + 8881*i to o + h*i and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 46 (b) 2 (c) -270 (d) -3 (e) -0.1 (f) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3789696 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15592 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/2 + 10*d = 0. What is d?\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 241 + -251. Is -9 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**3 + 5*r**2 + 6*r. Suppose k = 5*k - 28. Let o(t) = -6*t**3 - 6*t**2 - 7*t. Determine k*p(v) + 6*o(v).\nAnswer: -v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28722 - -637.6192.\nAnswer: 29359.6192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198924 and 107448?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813682 is divided by 70.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**3 - 2*b**2 + 1. Let j be s(-1). Let d be ((-3)\/4)\/(3\/(-12)). Suppose 2*z - 17 = -2*z - d*a, j*z - a = 29. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*w + 106*w + 313*w.\nAnswer: 369*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-108)*24*3969\/(-588)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c = -34*c + 108. What is the lowest common multiple of c and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**4 + 10*d**3 + 24*d**2 - 26*d - 128. Let m(k) = 4*k**4 - 10*k**3 - 24*k**2 + 27*k + 128. Let s(n) = -6*m(n) - 5*r(n). Factor s(q).\nAnswer: (q - 2)*(q + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/42)\/((-94)\/(-94)*(-2)\/(-6)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-1))\/((-36)\/162). Let p be (l\/36)\/(6\/(-32)). Calculate the remainder when 33 is divided by 2\/p + (-406)\/(-56).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -7134.\nAnswer: -1\/1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 405131381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 4*p**2 - 3*p + 3. Suppose 20 = -2*u - 3*u. Suppose 436 = -36*r + 2452. Calculate the remainder when r is divided by h(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 360537820*z**2. Let h(i) = 2*i. Calculate x(h(g)).\nAnswer: 1442151280*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.27, 24, -19\/3, 1?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9 + 0 = 0. Find g such that g**4 + g - s*g**2 - 6*g + 3*g = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33616944 divided by 8.\nAnswer: -4202118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.529 to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/1197)\/(-3*(2 + 385\/(-189))).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 73*r**2 - 245*r + 1336. Calculate n(76).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 + 0 = 0. Calculate the lowest common multiple of b and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2053 - -25?\nAnswer: -2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -15 + 0 + (-2)\/(-1). Let j = o + 20. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*p, 3*i - 4*p = -0*p - 6. Let o be (i\/6)\/(2\/12). Suppose 0 = -o*v + 3*v - 19. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f + 171 - 507. What is the remainder when f is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 7*u**2 - u - 5. Let c be t(-7). Let h = 1 + c. Factor -3*r**h + 2*r**5 - r**2 + 3*r**4 - 3*r**5 + 2*r**2.\nAnswer: -r**2*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -4\/5, -36\/161, 1 in descending order.\nAnswer: 1, -36\/161, -3\/7, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-69)\/46)\/(0 + 4\/(-240)). Solve 157*c - k = 172*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 3. Let m be p(-5). Suppose 4*c + 8 = -8*s + 4*s, 0 = -c + m*s + 4. Solve c = 3*f - 3 - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5041459 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44a4 + -12b?\nAnswer: -4602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -52. Let w = q - 9. Suppose -4*f + 2*f = -w. Solve 0 = -4*h + f - 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3292 and 39628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4378 or 4361?\nAnswer: 4378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s**3 + 6*s - 2*s + 3*s**3 + 2*s**3 + 2*s**2 - 2 - s to the form d*s**3 + a + x*s**2 + t*s and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4165.156 millilitres in litres?\nAnswer: 4.165156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1638\/19 (c) -0.1 (d) -1\/4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41\/14 + -17\/7. Let d = -3.37 + -81.53. Let i = 85 + d. Which is smaller: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2. Let q(p) = 13*p**2 + 5*p. Let g(j) = 65*j**2 + 26*j. Let m = -68 - -42. Let k(n) = m*q(n) + 5*g(n). Give k(o(l)).\nAnswer: -117*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 4:32 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 109216827 divided by -5\nAnswer: -109216827\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -3, -6\/17, 0.022?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**2 - 66*b - 7. Let l(n) = -n**2. Give c(l(g)).\nAnswer: -5*g**4 + 66*g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 22 = 2*z, 33*j + 37*j - 3*z - 7 = 66*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a century?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*2\/(-72)*28?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6772237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469820850 a multiple of 10709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 7. Let j(a) = a**2 + 4. Suppose 202 = -58*g - 204. Let v = -116 - -112. Determine g*j(q) + v*z(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -43338510.166.\nAnswer: -43338510.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -26*k**2 + 8*k + 11. Let p(o) = 9*o**2 - 3*o - 4. Let l(m) = -3*b(m) - 8*p(m). Find the first derivative of l(w) wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 20, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1378*i + 801*i + 15855 = 228*i + 58777 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuurrrruuzrcucuu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417 + 2005 = -186*h + 203 - 2059 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 r, and 1 h when three letters picked without replacement from hqkrp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = -2*l + 730. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*b - 0*b + 31, -5*b - 3*h = -29. What is the smallest value in -2\/13, 3, b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 11, -1\/8, 2, 0.1 in descending order.\nAnswer: 11, 2, 0.1, -1\/10, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 8 - -2 - 34\/(-7). Let -10\/7*r + 2\/7*r**3 + 2\/7*r**4 - 4\/7 - q*r**2 = 0. What is r?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 6:28 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 850.7463 years to millennia.\nAnswer: 0.8507463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15594721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37752 and 26499?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Suppose 40 = -i - i - m*q, -5*q = 3*i + 68. Let d be i\/(-5) + (-2)\/10. Solve 6 - 3 = -d*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -5*t**6\/6 + 101*t**5\/4 - 4205*t**4\/16 + 3695*t**3\/3 - 2510*t**2 + 1040*t - 3909. Find j, given that x(j) = 0.\nAnswer: 1\/4, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/21)\/(4*(-3)\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -390*y**2 + 13*y - 55*y + 388*y**2 - 40.\nAnswer: -2*(y + 1)*(y + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 127446*a + 1019760.\nAnswer: -3*(a - 8)*(a + 42490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1600 - 1677 = 169*g + 5331 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7466)\/((-2)\/10 + (-168)\/(-15)). Let m = k - -3009051\/4433. What is the common denominator of 87\/8 and m?\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2323547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 3) to base 11.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 422 - 825. Let x = i - -411. Do x and -0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/11 (b) -17 (c) -3\/10 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-4) + 295\/20)\/1. Suppose -10*i + g*i = 10. Solve i*d - 4*d = -8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2861?\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 2:39 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/72 and -65\/81?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 27*r - 77. Let a be w(3). Solve 2*y - a*t - 10 = -0*y, 4*t + 20 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*j**2*v**3 + 5*j*v**3 - j - 3*v**3 wrt j?\nAnswer: 192*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**3 - 2 + 2)*(-3*a - a + 5*a) - 23 + 23 - 26*a**4 as d*a + o*a**2 + x*a**3 + w + n*a**4 and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27d7741 + -4?\nAnswer: -27d7745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 13864 = -2*a, -d = a - 3132 + 361. List the prime factors of d.\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4\/7 - 404*w**3\/7 - 16488*w**2\/7 - 22032*w = 0.\nAnswer: -18, 0, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(2\/2)*-2. Suppose -j*r = -4*f - f + 10, -f + r + 2 = 0. Solve -f*h = 2*h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7370.\nAnswer: 2, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 3 + 1 + 5 - 5*f + 4*f - f + (-2 - 2 + 2)*(-2*f - 2 + 2) + 7*f + 3*f - f + (-2 + 1 + 2)*(-f + 0*f + 0*f) to the form t*f + l and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 8:35 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**6\/280 - l**5\/140 - l**4\/14 + 2*l**3\/7 - 7*l**2. Suppose x(c) = 0. What is c?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2123940168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -624, -625, -626, -627, -628?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1898 = -2*l, -2*d - l + 2839 = d. Calculate the smallest common multiple of d and 1080.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 3*g**2 - 2*g**2)*(-3*g + 6*g - 7*g)*(4*g - g + 0*g).\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14399645 - 0.144. What is k rounded to 7 dps?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 6*p**2 + 8*p + 2. Let w be u(-4). Sort w, 19, -1 in ascending order.\nAnswer: -1, w, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 4*o - 20 + 79, 2*w - o = -34. Calculate the common denominator of ((-2688)\/(-255) + -10)*w\/(-16) and 85\/12.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pdrtypt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 - 82. What is the remainder when i is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a67a + -2?\nAnswer: -a681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(495)\/sqrt(5) + -2 + sqrt(11) + -1*sqrt(11))**2.\nAnswer: -412 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148706809751\/180 - 826152720. Let a = -23821\/20 - b. Let y = a - 2589. What is the common denominator of -26\/7 and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 3:33 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -793513 in -4, 0.3, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 1 - 2 - 6 + 14. Let u(d) = 4 + 0*d - 4*d + 3*d. What is 2*q(h) - 3*u(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) 3 (c) -1\/3 (d) -0.056 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -5, -219, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.63 + -0.93. Which is the fourth biggest value? (a) m (b) -1\/6 (c) 5\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(30\/(-9) + 3). Let j = p - -6. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112212202100 (base 3) to base 6\nAnswer: -10135530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 - 5*o**2 + 1 + 2*o**2 + 0*o - o. Let k(u) be the first derivative of -u**3 + 3*u**2 - 4*u + 94. Give k(h) + 6*y(h).\nAnswer: 3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*51 - (-52 + 45). Suppose 3*c = t - 505. Solve -3*l + l = c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 37\/5 + 4\/(-10). Suppose d = -w + q + 9, -d + 16 = -4*w. Solve 0 = 4*i + n + 2*n - d, -i - 4*n = -17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68886 divided by 258.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - v**3 + 0*v**3)*(5 - 5 + 2) + (2 + 0 - 4)*(-v**3 + 2*v - 2*v) + 3*v**3 + 0*v**3 - 2*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.34 - -0.24. Let q = -406 + 407.028. Let g = c + q. Round g to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 + 9*l**2 + 23*l - 88. Give i(6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**2\/3 + 3392*w\/3 + 8960 = 0.\nAnswer: -840, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 4*t**2 - 22493*t + 22493*t - 5*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 12*u - 30. Let a be d(-2). Suppose o = -2*q + 387 + 40, a*q = o + 437. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 580, 2338, 5260, 9340, 14572, 20950?\n\"Answer: -l**3 + 588*l**2 + l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 26 = 4*j. Let q(u) = -u**3 + 27*u**2 - 92*u + 29. What is the remainder when q(23) is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220 by 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/43, 0, -568\/11.\nAnswer: -568\/11, -6\/43, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/3)\/((-120)\/(-20)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/37 (b) -3 (c) -0.4 (d) 3 (e) 2\/9 (f) 193\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 197, 182, 155, 110, 41, -58, -193?\n\"Answer: -y**3 - 8*y + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6567 - -6568.1716. Round j to two dps.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14560 - -14528. Is r >= 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -51748943.\nAnswer: 5\/51748943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 + -238. Let r = g + 114. Suppose 4*d = 5*h + 13, -d + 10 = 3*d - 2*h. Put r, 9, d in descending order.\nAnswer: 9, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3673404 divided by 3164?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -263 + 106. Let b = r + 163. Let t(g) = -g**3 + 7*g**2 - 5*g + 2. What is t(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 46*z + 90. Calculate k(-52).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d - 14*d + 60*d - 21*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*l = 3*n - 18, -5*n = -l + 111. Let s be n*2\/(-8)*14. What is the highest common divisor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 840888 and 1062?\nAnswer: 49612392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43781 or -43744?\nAnswer: -43744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**3*z**3 - 3*u**3*z - 127*u**2*z - 60827016*u*z**4 - 3254*u*z wrt z.\nAnswer: 18*u**3*z - 729924192*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -139*u - 2. List the prime factors of o(-2).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 = 3*b + 3*n, 2*b = -4*n + 12. Is b + -2 + 6 - -1115 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 299*j**5 + 142*j + 3 wrt j?\nAnswer: 5980*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 19 = 123. Let u = -3 - 2. Is r at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/(-45) - -2 - 80\/495?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/2 of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-4))\/((-12)\/60). What is the closest to -2\/9 in f, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1045394 - 134744 = -66*q + 2068646. What are the prime factors of q?\nAnswer: 2, 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0204 rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.63885g in nanograms?\nAnswer: 1638850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.132 * 1.519\nAnswer: 0.200508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3605927 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 16492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 646 and 3007757?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1900)*2*5*3.\nAnswer: -1500*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49046136959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k - 64. Calculate v(19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8726*q + 331591. Calculate t(-38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32313*o = -32325*o - 36 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/3 - 12226*j**2\/3 - 328696*j\/3 - 316472\/3 = 0 for j.\nAnswer: -6086, -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128 - 4 + 4*u - 5*u + 132.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 24 = w. Let y be w\/(-10) - (1 - 1). Is y at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4)*(-2202)\/(-367)*(-4)\/(-24))\/2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + r + 2*r**2 + 0*r**2 + 4*r**2 - r**2 + (3*r - r - 4*r)*(r - r + 3*r) + 11*r**2 - 20*r**2 + 18*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -394d - 2?\nAnswer: -3951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 8:18 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0198 + -0.7462. Let s = -26.06 - -25.3. Let j = q - s. Round j to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244578, -489219, -733860?\nAnswer: -978501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -919.07 - -929. Let h = i + -10. Let o = h - 0.03. What is the closest to o in 0, 1, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x - 3*x - 2*x + 13. Let r(j) = j - 6. Let g(z) = -6*k(z) - 13*r(z). Let i(b) = -1 - 5*b + 1. Give g(i(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -21 + 10 + -8 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*u + 9, 0*u + u = -c - 3. Suppose 6*l + c*l + 6 = 0. Let a(y) = 0*y - 5*y + 21*y - 7*y. Give a(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*f - 22 + 56 = 0, -5*f - 37 = -2*c. Solve 0 = c*r - 4*r - 3*q - 8, 0 = -5*r - q - 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*a + 26 = 0, -318*b + 16 = -320*b - 4*a. Let g(w) = w**3 + 7*w**2 + 7*w + 3. Give g(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17173542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2450 - -43?\nAnswer: -2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 265 - 320. Suppose -440 = 4*d - 0*d. Let t = d - n. Calculate the greatest common divisor of 77 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23714 + -9173. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 5, h: 1, b: 3}. Give prob of picking 2 d.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 - 4*s**2 + 9*s**2. Let b(i) be the third derivative of 0*i**3 + 0*i - 2*i**2 + 5 - 1\/24*i**4. Give b(r(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131012*0.1.\nAnswer: -13101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-3 + 13 + -5)) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 5*z**2 + 3*z - 2. Let l be p(5). Suppose 5*x - 22 = l. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2218 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/21, -2\/20411, -558 in descending order.\nAnswer: 4\/21, -2\/20411, -558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/7 + 1152*o**2\/7 - 10222*o\/7 + 1296.\nAnswer: -2*(o - 567)*(o - 8)*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1116 divided by -9.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 2*k - 7, -4*k + 1260 = 1276 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1449\/4 - 356. Find the common denominator of t and 31\/218.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19739 = 19*h - 10642. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20113 - -142?\nAnswer: 20310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 3*q - 3. Let k(l) = 2*l**2 + 7*l + 5. Calculate -5*a(f) - 2*k(f).\nAnswer: f**2 + f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 15) to base 14.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -0.28, -86, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 811893 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -10)\/(-34 - -23)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1565982 by 66.\nAnswer: -23727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, 0.332, -10?\nAnswer: 0.332","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -510.446 rounded to the nearest integer?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6359537\/6 - -1057020. Let w = 3178 + -268. Let i = w + n. Find the common denominator of 37\/8 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*4)\/8*(-54)\/(-36).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 14*j - 9. Let q be p(1). Suppose -3*g = -y + q*y - 7, 11 = -5*g - y. What are the prime factors of (1 - 925\/(-15)) + 2\/g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 2*z + 4. Let s be (0\/(-3))\/(5 - 4). Let h be g(s). Solve -h*m - 1 = 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -26. Suppose 4*j + 2 + g = -2*i, 0 = -3*i + 3*j + 12. Let y(z) = -z**2 - 15*z - 20. Let b be y(-12). Solve -b = 4*r - i*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48947084 to the power of 1\/2, to the nearest integer?\nAnswer: 6996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -69, 2, 5, 42222, 0 in decreasing order.\nAnswer: 42222, 5, 2, 1, 0, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 13*v**2 - 13*v + 5. Let y(f) = -f**3 + f**2. Let w be y(0). Suppose w*a + 5*l - 8 = -a, -2*a - 16 = 2*l. Is s(a) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 1195a?\nAnswer: 1195c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17459*k**3*r**2 - 2*k**3*r + 285*k**3 + 2*k**2*r**2 - 3*k*r wrt r.\nAnswer: -34918*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 104503013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3310427 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*h - 3*d, 3*d - 33 - 4 = -5*h. Let v be 33\/44 - 46\/h. Which is the third biggest value? (a) 0 (b) v (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1313388061?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/5, 6, 5\/13, -1\/17?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*h + 37*h + 320 = 0. Solve h*b = 14*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.076634 (b) 3\/7 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4 - 568*y**3 + 35528*y**2 + 681600*y + 2880000 = 0. Calculate y.\nAnswer: -8, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 26*o**5\/15 - 136*o**4 + 1118*o**3 + 2948*o**2\/3 - 15352*o\/5 + 1104 = 0?\nAnswer: -2, 6\/13, 1, 10, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 26790526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 504203 or 504202?\nAnswer: 504203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 10*c**2 - c - 15. Let v be r(8). Let n = v - 89. Calculate the remainder when n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1339*l*m**2*r**2 + l*m*r**3 + 4*l*r**2 - 1639*m**2*r**3 + 3*r wrt r.\nAnswer: 6*l*m - 9834*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4\/3 - 18832*x**3\/3 - 94177*x**2\/3 - 150692*x\/3 - 25116 = 0.\nAnswer: -2, -1, 18837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (28 - 28) + -51\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 - (-1 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (24 + -68)) + -45?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, q: 8, f: 1, s: 2, e: 2, l: 2}. What is prob of sequence fesx?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349241.7ng to grams.\nAnswer: 0.0003492417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, v: 7}. What is prob of sequence fvf?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a + 124. Give l(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**5\/5 + 8*h**4\/3 - 14*h**3 + 36*h**2 + 19*h - 1. Solve q(x) = 0 for x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.0154, 5, 2?\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyi when three letters picked without replacement from yyyiiyiy?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 v, and 1 c when four letters picked without replacement from {t: 3, c: 5, v: 9, q: 2}.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/14 + 216\/266. Let l = r - 443\/228. Let o = -91565\/10936 - 3\/1367. Find the common denominator of l and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jeh when three letters picked without replacement from {j: 6, u: 2, e: 9, z: 1, h: 1}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*a - 0*a. Do a and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**2 - 12*d + 38. Let r be y(-7). Suppose -m - 766 = -2*w - 5*m, -w + 2*m = -r. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -383198, -766403, -1149622, -1532855, -1916102, -2299363?\n\"Answer: -7*b**2 - 383184*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9945)\/2142*1638\/(-780).\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/1596*-2 + 30\/(-285). Which is the second biggest value? (a) -1 (b) -193 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 64 = -3*d + 25*d, -5*f + 22 = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:58 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 48004682?\nAnswer: -1\/48004682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/2*20\/15. Suppose 0 = 6*b - 3*b - j. Suppose -12 = -0*h - b*h. Solve 2*y + 6 = 2*c, c = -2*y - h*y - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292805 is divided by 77.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 15558.149 to the nearest 10.\nAnswer: 15560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3963.\nAnswer: 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002803168 to seven dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14994381\/4 > 3748594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 16.14. Let s = -1.14 + q. Let u be ((-3)\/16)\/((-3)\/(-2)). Which is the nearest to 1? (a) s (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -13*l + 76. Let o be a(6). Calculate the lowest common multiple of 10 and ((-102)\/85)\/(o\/100).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 + i**3 + 0*i**3 - 5 + 0*i - 3*i - 2*i**4 to the form c*i**4 + u*i**2 + q + o*i**3 + z*i and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - w = -0*w + 19, -2*m = -3*w - 35. What is the lowest common multiple of 4 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556*c + 537*c - 57 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150 + 256. Let r = l + -65. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6345 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 61*g**2 - 1. Let j(b) be the third derivative of -b**4\/12 + b**2 + 10*b. Calculate j(f(d)).\nAnswer: -122*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -1431.32?\nAnswer: 1430.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 21*r**2 - 12 - 1 + 6 to q*r + l + g*r**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-37)\/185 - 2078\/10. Let i = r + 210. Factor -2\/15*n - 6\/5*n**i - 8\/15*n**4 - 22\/15*n**3 + 2\/15.\nAnswer: -2*(n + 1)**3*(4*n - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(19) + -2 + sqrt(19) - sqrt(19))**2 + 3.\nAnswer: -89 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/9)*j*j*j*j**(-10) assuming j is positive.\nAnswer: j**(-64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 1:59 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.0682326 * 0.3\nAnswer: 0.02046978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 3*l - 790. Is (l - (-3 - 0))*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**2*n + 19*k**2 + 8621*n + 182 wrt n?\nAnswer: -2*k**2 + 8621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/119, -7, 2.1, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 10*g - 3. Calculate f(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -r - 6*q + 178, r = 4*q + 162. Suppose -6*i - 4*i + r = 0. Solve -4*y + 4*n = -32, 5*n - n + i = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*g - 2. Suppose 0 = 5*b - 3*j, -b + 5*b - 32 = -4*j. Suppose -3*m = -4*c, 5*m + g*c = b*m. What is the nearest to 1 in m, 1\/4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 104834\nAnswer: 2096.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.49 (b) -11 (c) 1 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**5 - 36*l**4 + 56*l**3 + 136*l**2 - 60*l - 100 = 0. What is l?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3 - 5. Let l be -24*g*1\/4. Let k = 6 - -78. Calculate the highest common factor of k and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 bigger than 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g - 9 - 28 = -1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -98\/9, -0.1 in decreasing order.\nAnswer: -0.1, -98\/9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38583187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-6 - (-2 - (3 + -4))) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 11:09 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) - (-2)\/4. Let t = 0.058 - -4.812. Let p = t + 0.13. Which is the nearest to -1? (a) r (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3214380 plus -848?\nAnswer: 3213532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -259\/3 + 85. Which is the third smallest value? (a) -0.6 (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-60)*32 + (-7)\/((-21)\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/8313 and -79\/3260?\nAnswer: 166260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Let o(g) = 3*g**2 - 4*g**r + 3*g**2 - g**2 - 7*g. What is o(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9916, 39686, 89318, 158812, 248168?\nAnswer: 357386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -104?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 8 = 5*r + 3*i, 0 = -3*i + 12. Suppose -2*k + 39 = a, -2*k - r*a + 0*a = -48. Solve -3*g = -b - k, -16 = -2*g + 3*b - b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yccy when four letters picked without replacement from {q: 8, c: 2, y: 1, n: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.1 - -1.1. Let i = l + 6.7. Let t = 2221\/5 - 444. Which is the closest to -2? (a) 3 (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 30*s + 5. Let k(u) = -5*u - 1. Calculate -6*d(t) - 35*k(t).\nAnswer: -5*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**4 - 4*j**3 + 5*j**2 + 3. Let m(v) = v**4 + v**3 - v**2 - 1. Let y(s) = -6*m(s) - 2*p(s). Factor y(w).\nAnswer: 2*w**2*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 1, -113?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 239 or 17443\/73?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112276 by 690.\nAnswer: 56138\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 433*o + 49 = 440*o. Suppose -3*m + 5*x = -1446, 0*m - 2*m - 2*x = -964. Suppose -o*q + m = 20. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39051\/13 smaller than -3005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2064*w + 1876. What is the tens digit of f(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -36, -32223, 0 in decreasing order.\nAnswer: 2, 0, -3, -36, -32223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*i + 0*i + 18 = 0, -i = -n + 12. Let k be 18*(n\/2 + -4). Suppose 4*y = k*y - 15. Solve y*m = r - 4*r - 9, 4*r - 4*m = 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/13)\/(2976\/6448)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + -14 + (-23 - (10 - 29))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f**(2\/3)\/f)\/f)\/f**(1\/15))**(-9))**(-11))**(4\/11) assuming f is positive.\nAnswer: f**(-252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 15*l - 36. What is x(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 106*h**3\/3 + 11*h**2 + 63. What is the second derivative of j(p) wrt p?\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 a, 1 b, and 1 x when four letters picked without replacement from {n: 1, a: 2, x: 1, b: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j - 196 = -35*j - 14*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/73589 and 12\/11.\nAnswer: 809479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(192) - (-1 + sqrt(192))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 72*a - 29*a + 220*a**2 - 19*a - 24*a. Let x(l) = -6*l**2. What is b(x(k))?\nAnswer: 7920*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -f - 0*g, 4*f + g = 0. Let z(l) = l**2 + 2. Let h be z(f). Let t(v) = -2*v**2 + 4*v**2 + 5*v + h + 0. Give t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 126539627 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o*(o**(2\/5)*o)\/o)\/o)\/o)**(2\/25)*(o**(1\/6)*o)\/(o*o**(-1\/9)*o))**(11\/5) assuming o is positive.\nAnswer: o**(-17083\/11250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 9:43 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 1, 0.3, -1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 12 = 18. What is the third derivative of -4*j**6 - 5*j**2 + j**6 - j**s wrt j?\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/8)\/(l*l*l*l*l*(l**(-4)*l)\/l))**12)**(6\/37) assuming l is positive.\nAnswer: l**(-63\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k*o**6 - 160087*k*o**5 - 4*k*o**2 + 187*k*o - 28*k + 2*o**2 + 1 wrt o?\nAnswer: -120*k*o**3 - 9605220*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cc37 + 5?\nAnswer: cc3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 4)*1158\/4246.\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/20 - n**4\/3 + 2*n**3\/3 - 3*n**2\/2 + 3*n. Let h(u) = -u**2 - 6*u + 3. Let k be h(-6). What is o(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1498 + 1490. Let j be (-8)\/(-6)*(-462)\/4. Does 7 divide j\/6*(3 - (-48)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*b = -3, -5*b + 17 = 3*j - b. Let w = 2 + 4. Calculate the lowest common multiple of w and (-5 + 3)\/(j\/(-21)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 213 and 30?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.96 - -0.708. Let l = 0.252000466 + f. What is l rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.55 + -0.5. Let g = -0.0476 + x. Round g to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, -3, -27\/7, 0.4 in increasing order.\nAnswer: -27\/7, -3, -2, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-20) - (-46)\/10. Suppose 0 = -4*h, -h = -r*d + h + 24. Find the second derivative of -d*p**5 + 11*p**5 - 2*p - 8*p**5 wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 286364823*b**4*i**2 - 95406585*i**2 wrt b.\nAnswer: 1145459292*b**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21102877 from -0.0567.\nAnswer: 21102876.9433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.35 - 0.45. Let y = -3 + 2.8. What is the nearest to y in -2\/13, 2\/3, s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43831 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3350249?\nAnswer: 3350249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208624147?\nAnswer: 109, 1913983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149543.0000073289 + -149543. Round u to seven dps.\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 53557, -5 in ascending order.\nAnswer: -5, 20, 53557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 + 21*j**2 + 44*j + 47. Determine b(-10).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-3)\/(-34))*(1 + -2). Suppose -3*k + o = -26. What is the third derivative of -k*r**5 - 19*r**5 + 7*r**2 + 38*r**5 wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, r: 2, t: 7}. What is prob of sequence ww?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + -10 + (-10 - -18) - -10\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 12*y - 8*y + y**2 - 4*y. Suppose 0*i + 3*i = -2*a - 9, 13 = -i - 4*a. Let s(d) = -7*d**2 - d - 1. What is i*s(j) - 5*w(j)?\nAnswer: 2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**6\/30 + 7*u**5\/12 - 49*u**4\/24 + 5*u**3\/3 + 23*u**2\/2 + 6*u - 5. Let d(z) be the first derivative of l(z). Factor d(i).\nAnswer: (i - 1)*(i + 10)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**1\/r)**(10\/7)\/((r*(r**(6\/7)\/r)\/r)\/r**(-6)))**(-2\/11) assuming r is positive.\nAnswer: r**(62\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 14540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/6)\/(-27)*0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w = -224*w - 6711 + 1868 - 11477 for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 223 - 197 = 4*i, -3*i = -4*k + 815. What is the greatest common divisor of k and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187202142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5531\/306 - 448\/17. What is the common denominator of (2 - 0)*(-51)\/12 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1150764*u**3 - 2*u**2 - 4923*u - 2 wrt u?\nAnswer: 6904584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14303 (base 5) to base 11.\nAnswer: 9a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*4*6\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-95)\/57 + (-772)\/(-294) and -125\/546?\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113455?\nAnswer: 5, 7, 29, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 535, 512, 443, 304, 71?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/(sqrt(9)*4 + sqrt(9) + sqrt(9)))\/(sqrt(30)\/(sqrt(6) + sqrt(384))).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 1187, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 139359?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 11*v**3 + 1. Let m be u(-1). Let q = 13 + m. Sort -0.5, 0, q in increasing order.\nAnswer: -0.5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, y: 5, d: 3}. What is prob of picking 3 y and 1 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2*m + 16 = 0. Suppose 245 + 1 = m*a + 2*i, 2*a - 4*i = 138. What is the highest common factor of a and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2397 + -14237\/6. Find the common denominator of ((-1484)\/(-11256))\/((-2)\/4) and x.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (17 - 14 - 11) - (0 + -42)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -3*y - 15, -66*x - 5*y = -62*x + 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 2:25 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -5063095.\nAnswer: -506309.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/40)\/((-16)\/5).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 34. Suppose -23 = -2*r - 3*x + m, 5*x - 80 = -5*r. Suppose -5*l + 9 = -r. Solve 4*a = 8, l = t + t + 3*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and 3541.7?\nAnswer: 109792.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1526 + d + 1526. Let u(l) be the third derivative of l**7\/1680 + 13*l**5\/60 - 9*l**2. Let s(i) be the third derivative of u(i). Determine s(k(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*z - 7 - 10, -2*z + 23 = 5*j. Suppose 3*w = j*w - 1600. What are the prime factors of (3\/15 - -1)\/(12\/w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161260638, -161260640, -161260642, -161260644, -161260646?\nAnswer: -161260648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -11*h**6\/9 - 191*h**3\/3 - 161. Let a(o) be the third derivative of n(o). Let m(i) = i. What is a(m(u))?\nAnswer: -440*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*t - 0*h + 3*h, 0 = 5*t + h - 7. Let d(z) = 2*z**2 + 2*z**2 - 1 - z - t - z**2. Is 13 a factor of d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47422294*j**2 - 17059901 wrt j?\nAnswer: 94844588*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -63*v**3 + 35. Let k be (4\/(-8))\/(13\/(-104)). Let j(s) = 7*s**3 - 4. Give k*g(b) + 35*j(b).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20353 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 c(w) = -6*w - 3. Let a be c(-2). Suppose 33 = 2*z + z. Let j = z + -10. What is the highest common factor of j and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from prkhpkkkrpkprrk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*(sqrt(38)\/(sqrt(4)\/sqrt(2)) + 5 + sqrt(152)\/sqrt(8))*1 + -1)**2.\nAnswer: 336*sqrt(19) + 1657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 = -67*x - 43*x + 862 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -929 + 5296. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -43, -3.\nAnswer: -43, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157807 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/5 - 8*w\/5 + 6\/5 = 0. Calculate w.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 0 - (148 + -135)) + 3 + (-4 - 3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = -4*n, 0 = s - n - 3*n + 2. Let j be s - (21 - 3\/1). What is the units digit of ((-108)\/45)\/(2\/j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013133 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2717.924 litres to millilitres.\nAnswer: 2717924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2268 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3733506, -3733508, -3733512, -3733518, -3733526, -3733536?\nAnswer: -3733548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/3 - (4731\/468)\/19 and 151\/54.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**6\/360 + 13*n**3\/6 + 13*n**2. Let c(j) be the first derivative of u(j). Let r(v) = 23*v. Determine c(r(l)).\nAnswer: -529*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140025 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 80, 115, 150?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 98\/6 - 2\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9676)\/177)\/(-82)*126\/(-20).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6717*s + 33734. Calculate x(5).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**5\/2 - 27*b**4\/2 + 57*b**3\/2 + 27*b**2\/2 - 30*b = 0?\nAnswer: -1, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.9. Let m = 3.8 + -0.8. Let w = 5 - m. Which is the biggest value? (a) w (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263805 is divided by 370?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 223545.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u - 10. Let w be (u\/(-4))\/(18\/4 - 4). Suppose 2*h - h**2 + w + 3*h**2 - 3 - h**3 - h = 0. Calculate h.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2494a5 (base 14) to base 16\nAnswer: -132619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*h - 165 + 43503 = -775*h for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, m: 5}. Give prob of picking 3 m.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -10*g + 102. Suppose 2*y - g - 11 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 633 + -633. Which is the closest to -4? (a) 0.11 (b) u (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 172 = 3*h. Let y = 15 - h. Is 4\/(-14) - 1044\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjsvwscv. Give prob of sequence sj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 705 a factor of 2805900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 112010?\nAnswer: -112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4 - 54. Let p be -386*(-2 + m\/30). Let s = -152\/5 + p. Find the common denominator of s and 44.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o**4 - 161402*o**3\/3 + 655700*o**2\/3 + 924832*o\/3 - 286720 = 0. What is o?\nAnswer: -8\/5, 2\/3, 5, 5376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231091, -462465, -694125, -926071, -1158303?\nAnswer: -1390821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 99853, 1, -4\/7, -7 in increasing order.\nAnswer: -7, -4\/7, 1, 99853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3709 + 36*x + 2*x**2 + 0*x**2 - 3706)*(20*x**2 - 11*x**2 - 7*x**2) as g + i*x + k*x**2 + t*x**3 + z*x**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 10*t + 27. Let s be i(6). Solve 16 = 4*b + 2*c, -s*c + 12 = 3*b - c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18097520 is divided by 38020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11231, -21714, -32197, -42680, -53163?\nAnswer: -63646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 259260.5 times 0.4\nAnswer: 103704.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3, u - 39 = -5*m - 3*u. Let s be 4 + ((-2590)\/45)\/m. Let q = -476\/117 - s. Which is the closest to -1? (a) 4 (b) 1\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2896643 rounded to 4 dps?\nAnswer: -0.2897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w. Let r(z) = -49*z**2 + 46*z + 17. Let u(c) = 12*c**2 - 11*c - 4. Let n(q) = 4*r(q) + 17*u(q). Determine -5*k(g) + n(g).\nAnswer: 3*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - k - 33 = -v, -2*v - 5*k - 21 = 0. Let c be 14 - (1 + 1\/1). Let a = v + c. Solve -f + 3*f + a*w + 18 = 0, 0 = -2*f - 5*w - 23 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -863*m + 7476 = -891*m. Is m bigger than -262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1177 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 7*r**2 + 7*r - 1. Let z be t(6). Let o be ((-55)\/(-2))\/(z\/10). Suppose l = -0*l + o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - 1. Let u be ((-5)\/3)\/(1\/v). Solve n + 4*n = 2*l + u, 0 = 4*n - 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25542*-3.46\nAnswer: -88375.32","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 17 + 61 - 19 + 105*q to the form c*q + k and give c.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20752 or 20712?\nAnswer: 20712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5414192 divided by -4\nAnswer: -1353548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -52. Sort -5, 0, f, 4 in decreasing order.\nAnswer: 4, 0, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 237*v**2 + 59*v + 92. What are the prime factors of x(-13)?\nAnswer: 2, 3, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -24*w**5 + 5588*w**4 - 7376*w**3 - 7408*w**2 = 0.\nAnswer: -2\/3, 0, 2, 463\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -4032.\nAnswer: -4028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 385366 - 385231. Factor 10\/3*n**3 + 0*n**2 - p*n**4 + 0*n + 0.\nAnswer: -5*n**3*(81*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (11 + 6)) + 2 + -1 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*y - 342*y = 94*y - 79*y - 3632 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-27*2\/24)\/(1197\/(-45752))\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - 5*h**2 + 2*h**2 + 0*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*12330.2.\nAnswer: 1109.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36247301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2372*w + 1736*w - 11*w**3 + 1272*w - 2*w**5 wrt w?\nAnswer: -40*w**3 - 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22311 (base 4) in base 11?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5311*-5.15\nAnswer: 27351.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8372971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70090*p**2 - 296568 wrt p.\nAnswer: 140180*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2 - 0. Suppose x - 4 = -u. Suppose -2*r - 11 = -41. Solve i = -x*i - r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 5*t**2 + 2*t + 1. Let s be y(-5). Let l be 2\/s - 78\/(-108). Factor 1\/6 + 1\/6*u**3 + l*u**2 + 1\/2*u.\nAnswer: (u + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15113167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from meemme.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**4\/12 - 7*y**3\/6 + y**2 + 3*y. Is 12 a factor of s(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/9)\/n**(2\/11)*(n**1)**(-2\/3)*(n**(-7)\/(n**(-2)\/n))\/(n**(-4\/7)*n\/n**(2\/9)) assuming n is positive.\nAnswer: n**(-1219\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + (-1 + sqrt(275) + sqrt(275))*6)*6 + (sqrt(275) + -1 + 5 - -6*sqrt(275)*-2))**2.\nAnswer: -21440*sqrt(11) + 1235499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 337837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -120772, 1.181?\nAnswer: 1.181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 4 - 1\/(-1). Let r be (16\/(-12))\/((-1)\/m). Solve 4 = -r*c + 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/5)*j*j)\/(j*j**(-2)))\/(j**(2\/5)*j\/((j\/j**(-1))\/j)))\/(j**(-3\/7)*j\/(j*j**(-2)\/j))**(-50) assuming j is positive.\nAnswer: j**(4584\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 10658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -9)*1 - (-1076 + 1087).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144325.1 - 144325. Let y = 3 - 10\/3. Which is the nearest to y? (a) -0.5 (b) 3\/11 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 841713756*l. Let a(v) = -2*v**2. Determine a(h(o)).\nAnswer: -1416964094079255072*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -5.6487765 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 1. Let b(m) = 5*m + 7. Let n(f) = b(f) - 6*x(f). Let w(k) = 2*k - 1. Let h(v) = -4*n(v) - 3*w(v). Give h(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 247*d**2 - 247*d**2 + d**3 in the form j*d + v*d**3 + l + k*d**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 13 (c) -199 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-5) + 2)*-175. Suppose 180 + 180 = 4*r. Let s = r - 62. What is the highest common divisor of s and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -863 - -855.156. Let s = 2.266 - q. What is s rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/((-658)\/(-141))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 10:02 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/4 + p. Let s(b) = 14 - 14 + b**2. Determine s(n(k)).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -50*t**2 - 72*t - 27. Give x(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 + 946\/(-110). Let h = -8 - o. Suppose -3*r + 18 + 15 = 0. Calculate the least common multiple of r and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 22150162?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c**5 - 3346*c**4 + 414411*c**3 + 4291344*c**2 + 10187740*c - 2480400 = 0. What is c?\nAnswer: -468, -5, 2\/9, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -19. Calculate the greatest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 702?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -804174731 and 0.1.\nAnswer: -804174730.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((9 - 12) + -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x. Let p(u) = -565*u**2 + 204*u**2 + 120339*u - 120356*u. What is p(d(v))?\nAnswer: -361*v**2 - 17*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 10:01 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -7*s - 9*s. Let o(p) = -3*p + 5*p + 12 - 4*p. Does 15 divide o(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -398338 bigger than -398338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113470*u + 145717 wrt u.\nAnswer: 113470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356374, -1425497, -3207372, -5701999, -8909378?\nAnswer: -12829509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 21 = 5*w, 2*j = 6*w - 3*w + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(6\/5)*h*h*h**(-13))\/(h**0)**(-26) assuming h is positive.\nAnswer: h**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 500801019?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 28. Is ((-1 + -2152)*2)\/(k + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 8:51 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 20 = -4*x. What is the second derivative of -4*g**4 + 10*g**x + 3*g - g**4 wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11497 is divided by 94?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + 8 + -38 + 15?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiv when three letters picked without replacement from hvhhihhvhhvhv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 507611 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2753492 is divided by 269?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 15. Let q = 12 + -10. Let o be (-3 + q)\/(2 - 3). Solve 4*s = 3*s + l - o, y*s + 3 = -l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 121567210.\nAnswer: 121567210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255843351?\nAnswer: 3, 28427039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - 258*m**4 + 501*m**4 - 8*m - 32*m**2 - 246*m**4 - 1 to q*m**3 + h*m + a*m**2 + b*m**4 + f and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18*i - 32. Give w(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 3)*(-79*f**3 - 9 + 9).\nAnswer: -237*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -36*r**2 - 344*r - 33. Is 19 a factor of h(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/9, 0.037, 0.1?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 77d1e + 1eb?\nAnswer: 77f09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1459, 5846, 13165, 23422, 36623, 52774, 71881?\nAnswer: 93950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 65 = -2*q + 125, -2*t + 86 = -2*q. Let j = -37 + t. Solve 3*c + 0*c = j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/(31\/(-11160)*-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 330.4488077 to the nearest integer.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1468 and 87\/10.\nAnswer: 7340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxfxxqxxqqxqqpqqqqq. Give prob of sequence qqpx.\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1 (b) 0.3 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Suppose r + y + 263 = 0, 2*r + y + i*y + 525 = 0. Calculate the remainder when r\/(-9) + (-4)\/(-6) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34993 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51307 + -33190. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*q = q - 14, -3*t - q - 4 = 0. Let r be (-30)\/t*8\/10. Let z = r - 10. Solve 4*m = z + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2) + (1 - (2 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -768 - -878. Calculate the lowest common multiple of 50 and k.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -113 + -7. What is the common denominator of (-9)\/24*248\/(-14) and (-1 - 314\/a)*3?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1681 is divided by 56?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -4 (c) 5111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -e68 (base 16) to base 8\nAnswer: -7150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -324 and -5.966.\nAnswer: 1932.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 20*t - 12. Calculate the remainder when g(4) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30863266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m + 24. Let a be t(-4). Suppose a = 38*f - 39*f + 8. Suppose 9*l - 790 = f*l - y, 2*l - 1571 = y. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffkfffffkfzkzfffffff. What is prob of picking 2 k and 2 z?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duubbbubbud. What is prob of picking 3 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2457971001 - 2*t**2 + 0*t**2 - 2457971001.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9227207287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-16)\/(-16)*3)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0*7613819\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*h**3 + 10*h**2 - 9*h + 19931?\nAnswer: 33*h**2 + 20*h - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10658 - 10655. Let v(b) be the first derivative of -1\/3*b**x - 1\/2*b**2 - 28 - 15*b. Give v(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-6)*d)\/d)\/d**(2\/9))\/(d**3\/((d*d*(d*d\/(((d*d**2)\/d)\/d*d)*d*d)\/d)\/d)) assuming d is positive.\nAnswer: d**(-65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (14 - (-1)\/1). Let g = 8 - c. Which is smaller: g or -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*c - 18*c - 691215 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p**3 - 1755*p**2 + 1248*p + 500 = 0.\nAnswer: -2\/7, 1, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 + 179. List the prime factors of n.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2492 - 45*r**2 + 14*r**2 + 2490 - 7*r - r**4 as d*r**3 + o + w*r**4 + i*r + n*r**2 and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -17. Let p(r) = r - 5. Let u be p(2). Is h at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 635 = 5*l, 1660 = 95*n - 90*n + 2*l. What is the remainder when n is divided by 164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(11))*-4 + 1 - ((sqrt(704) + 0)*-3*2)**2.\nAnswer: -25339 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540) - -2*-1*sqrt(540))\/(sqrt(147) + (-6*sqrt(147)*3 - sqrt(147)) - sqrt(147)).\nAnswer: 6*sqrt(5)\/133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 10. Let x be a(-7). Solve -5*l + 24 = -4*n, x*n + 5*l - 18 = -2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*d - 8*d - 83*d)*(d - 2*d - d + (0 + 3 - 4)*(-2*d + 4 - 4) + 0*d - d + 2*d).\nAnswer: -79*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92 or 90?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8168 rounded to one dp?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 + z + 10. Let t(l) = -16*l**2 - 5*l - 49. Calculate -22*g(h) - 4*t(h).\nAnswer: -2*h**2 - 2*h - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -82.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -9*n - 1 + 1 + 8*n. Let o(x) = 1474*x - 176. Let g(c) = 84*c - 10. Let v(p) = 88*g(p) - 5*o(p). What is j(v(f))?\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 267 - t**3 + 3*t**3 + 0*t**3 - 398 - 419 to u*t**2 + a*t + c*t**3 + d and give d.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from jyqjjqyjqqj.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16119750 and 17250?\nAnswer: 370754250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (74\/(-4))\/(3\/(-6)). Let s = -31 + d. Solve -3 = 9*q - s*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -0.11. What is the closest to n in 0.2, 0.5, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147*f**2 + 71*f**2 - 4*f**2)*((2 - 4 + 1)*(1 - 1 - 2) + (-1 - 3 + 2)*(0 - 1 + 3) - 1 + 3 - 4)*(-4 + 1 - f + 0*f).\nAnswer: -320*f**3 - 960*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcwcgwccwgwc. Give prob of sequence wcc.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9156? (a) -0.3 (b) 0.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 10, 4*u + n + 1 = -0. Let d(b) = 2*b - 2 - u + 2 - b. Let t(m) = -m**3 - 5*m + 4. Calculate -4*d(y) - t(y).\nAnswer: y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + -20210200002?\nAnswer: -20210200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-244)\/(-48) - 6 - (-93)\/124.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a + 19*a + x + 2 = 0, -4*a = x - 6. Is -1\/260 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 14*z**2 - 66*z + 1089. Calculate the remainder when 336 is divided by r(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116128 and 224?\nAnswer: 812896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -3*c**6\/40 - 19*c**5\/60 - 11*c**4\/24 - c**3\/6 - 42*c**2 - 2*c. Factor u(s).\nAnswer: -(s + 1)**2*(9*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 0 + 0 + (3 - 3 - 1)*(63*x - 150*x - 17*x)*(3 - 14 + 1) to the form y*x + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2 = -2*r + 23, -3*r = 3*g - 6. Suppose 0*i + 5*p + 5 = r*i, -4*p = -2*i + 2. Are -1\/24 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n - 10 = 0. Let c = n - 5. Suppose 4*o - c*a - 55 = 0, -6 = -o - 2*a + 11. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.0758.\nAnswer: 0.01516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 524448900 to the nearest one million.\nAnswer: 524000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21289?\nAnswer: 61, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.35 + -3.65. What is the third biggest value in -31.1, -2\/11, y?\nAnswer: -31.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 27*s**2 - 9*s - 37. Is j(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1046.097 - 2.903. Let l = 178882173.197499241 + -178883222.1975. Let a = m - l. What is a rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - z + 228 = 4*z, w - 57 = 3*z. What is the remainder when w is divided by (-144)\/84*20\/45*-21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + -1*(sqrt(1088) + -2*(sqrt(1088) - -3*sqrt(1088))).\nAnswer: 1 + 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126*g**3*y**4 - 372*g**3*y**3 - 4*g**3*y + 2*g**2*y**2 - 62*g**2*y - 2*g*y**2 wrt y.\nAnswer: -3024*g**3*y - 2232*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 407 + -416 + (0\/3 - -12). Let b(r) be the second derivative of -1\/4*r**4 + 0 - 1\/20*r**5 + 0*r**2 - 1\/3*r**n + 6*r. Calculate b(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9 - -3.9. Let m = 65\/3 - 21. Which is the third biggest value? (a) l (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.7 (b) 27 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375535519 is divided by 3488.\nAnswer: 3487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 20*d + 43. Let n be i(-18). Let j be (n*15\/12)\/((-5)\/20). Let o = 37 + j. Solve -8 = -o*f + 2*z - 0, -4*f - 2*z + 16 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.896909 millimeters in meters?\nAnswer: 0.003896909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/6, -146.5, -2\/15, -0.3, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 c when four letters picked without replacement from {p: 2, w: 4, g: 1, i: 2, c: 3}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*w - 25542 = -31*w + 12804. What is the highest common divisor of w and 2982?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041924698 to the power of 1\/2, to the nearest integer?\nAnswer: 32279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**4\/3 - 316*h**3\/3 + 2162*h**2 - 13992*h + 29736 = 0.\nAnswer: -177, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 - 209*z - 5659. Calculate l(72).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 0*z**3 - 4*z**3 + 4*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + a**2 + a + 5. Let f(q) = q - 3. Let t be f(3). Let w be z(t). Suppose 3*m - 2*s + s - 12 = 0, 4*m - 16 = w*s. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(42900\/6864 - (-18)\/(-8))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93120 and 4057995.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*m - 506 = 3*f, -2*f - 2*m = 356. Let a = f - -170. Sort -7, a, 5 in ascending order.\nAnswer: -7, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 14*p + 14*p**2 + 6*p**3 + p**3 - 16 + 2*p**4 + 4*p**3 + p**3 - 26*p = 0?\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2. Let b(k) = -1293 - 7*k + 1293. Give x(b(g)).\nAnswer: 245*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7992 and 4020?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 462412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 3*a + 12. What is the remainder when (-1 + (-20)\/(-3))*6 is divided by p(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 8)*(4 - 12 - 16)*(-1 + 4 - 4)*(m + 1 - 1).\nAnswer: 96*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1154*s = 7860 + 41762 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.05 - 3. Let s be 95\/(-38) - 1079\/(-430). Let n = 452\/2365 - s. Which is the biggest value? (a) 0 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (6 - (0 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 21*j**5\/5 - 2*j**3\/3 - 29*j**2 - 124. Find the second derivative of y(v) wrt v.\nAnswer: 252*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**3 - 2*k**2 + k - 10. Suppose -5*x + 34 = 19. What are the prime factors of l(x)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -96, -95, -94, -93?\n\"Answer: l - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in days?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w - 10. Suppose -w*c + 5*i = -c - 2, -c + 2 = i. Let p = c - -7. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.9 smaller than -2.73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-6)*4*(-12)\/2. Put 0.5, s, 2\/7 in descending order.\nAnswer: s, 0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124 + 510?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 108836 divided by 2366\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 67 + -15?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3) + sqrt(27) - sqrt(6)\/(sqrt(4)\/sqrt(2)))**2.\nAnswer: -12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 4*q + 5*g, -4*g + g + 40 = 2*q. Let n = -56 + q. Let s = 71 + n. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 71 in -3, -40, 1\/6, 506?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 20787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*t**2 - 186*t**2 + 3*t - 6*t**5 - 2*t**6 + 91*t**2 wrt t?\nAnswer: -240*t**3 - 360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*y = -0*y + 1, 5*k - y - 3 = 0. What is the second derivative of -11*t**4 + 1 - k + 5*t**4 - 2*t wrt t?\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13734 and 54?\nAnswer: 41202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1333)\/(-301) + (-4)\/(-7) + (-106)\/(-2).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 20 = 22. Let a = 7 + u. Let i be -7*((-60)\/a + 2). Solve -3*f = 3*o - i, 0*o - 5*o + 26 = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -332482969*g - 124825980.\nAnswer: -332482969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g + 20*g - 7682 + 7682.\nAnswer: 34*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1277, 5138, 11583, 20612, 32225, 46422, 63203?\n\"Answer: 1292*a**2 - 15*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4.5. Let a = g - 0.5003. Round a to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -143*b**8\/56 - 95*b**4\/12 - 106*b - 192. Let m(g) be the first derivative of n(g). Find the third derivative of m(o) wrt o.\nAnswer: -17160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**5\/120 + 7*b**3\/6 + 7*b**2. Let p(f) be the first derivative of u(f). Let z(v) = 3*v**2. Give p(z(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 11*c**6\/24 - c**5\/60 - c**4\/24 + 10*c**3\/3 + 125*c**2. What is the second derivative of q(h) wrt h?\nAnswer: 330*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -55536.214616.\nAnswer: -55532.214616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4390299438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4 + r - 9 + 2*r + 7. Let x(i) = -13*i - 9. Let o(k) = -18*j(k) - 4*x(k). Let v(n) be the first derivative of -22*n**3\/3 - 3. What is o(v(d))?\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 1 + 35 = 2*z, 0 = 4*t + 20. Suppose -5*a = z - 113. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/30 - 11*h**4\/24 + 11*h**3\/6 + 40*h**2. Let s be j(1). Suppose s*k = -k + 129. Does 37 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (9 + (18 - (12 + 17))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12796 - 8076. What are the prime factors of q?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1641314 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65696 and 80.\nAnswer: 328480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/8 and 169\/900?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 - (-25 - -18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 317199 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98365?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*a = 22, 4 = 2*h - 2*a - 0*a. Let w(u) = u**3 + 6*u**2 + 8*u - 1. Let t be w(-4). Sort t, h, 2 in decreasing order.\nAnswer: h, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484649365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 343770424 - 3?\nAnswer: 343770421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 3 + 25 - 16) + -83 + -1.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/24)\/(((-22)\/154)\/(76\/(-133)))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 286370101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1204b (base 12) to base 7.\nAnswer: 130463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 13*b = -96, 4*l - 14246 = -b - 14286 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 7:47 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5520 is divided by 1102.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 5*p**2 + 14*p - 9. Suppose 11*h + 2*o = 8*h + 19, -3*o = -3*h + 9. Let y be d(h). Let v = 85 + y. List the prime factors of v.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5)*(z\/(z*z**(-21)*z*z))\/z)\/((z*z**21*z)\/z**2) assuming z is positive.\nAnswer: z**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (0 + 2)) + 4. Let u(v) = 30*v + 454. Let l be u(-15). Factor -2*f**4 + 2*f**2 - l + 0*f**4 - 6*f + 6*f**3 + 4*f**n.\nAnswer: 2*(f - 1)*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/50 and -81\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 + 42. Suppose 30 = 3*d - g. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -6.3. Let o be (-24)\/16*(-2)\/24. Put l, o, 3 in ascending order.\nAnswer: o, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:02 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -107, -23, 170, -5.\nAnswer: -107, -23, -5, -4, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7, 0, 2, 80\/9, -0.0508?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 850 and 650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t - 6. Suppose 2*m - 4*q - 12 = 2, 0 = 2*m + 3*q - 14. Give p(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 3. Let x = 42 - 45. Let s be x*(-4)\/(-18) - (-20)\/3. Let q be y(s). What is the greatest common factor of 117 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(539)*-1 + sqrt(11) + 1 + 2))**2.\nAnswer: -96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 11. Let r(q) = -4*q - 21. Let j(w) = 5*n(w) - 3*r(w). Calculate j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 249*d**9\/28 + 26*d**5 + d**3\/6 + 495*d**2 + 2*d - 1. What is the third derivative of l(r) wrt r?\nAnswer: 537840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 10 = -4*b - 4*h, 3*h - 3 = -b. Let c = 17 - b. What is the first derivative of -j + 1 - 3*j + c*j - 4 wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) - (-6 - (-99)\/18). Are -10 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*r = -6 - 6, -k + 8 = -3*r. Differentiate -15*s**2 + 53 - 4*s + 18*s - 16*s - 3*s**k wrt s.\nAnswer: -36*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 16 - 8 = 0. What is the smallest common multiple of 14 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110030044 (base 5) to base 8\nAnswer: 1627171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by -1?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1034354103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 19*p**2 - 76*p - 85. Let d be a(-14). What is the fifth biggest value in 0, 8, -2\/7, 3\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 127439, 127434, 127429?\n\"Answer: -5*j + 127444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234 by 6.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**4\/54 - 4*t**3\/27 - 23*t - 29. Let a(b) be the first derivative of x(b). Let a(u) = 0. What is u?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 6:45 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116 - -118. Find the third derivative of 9 - s**n - 6*s**2 + 4*s**2 + 3*s**3 - s**5 - 11*s**5 wrt s.\nAnswer: -720*s**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(9\/(-24))\/((-45)\/(-12))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -138858, -149394, -159930, -170466, -181002?\n\"Answer: -10536*c - 128322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 18\/61075313?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -22, -40, -58, -76, -94?\n\"Answer: -18*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(450)\/(-2*sqrt(9))*-1 - (sqrt(100) - -1*sqrt(100)*2)\/(sqrt(98) - 2*sqrt(98)).\nAnswer: -5*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4511187*w. Let a(j) = -26*j**2. Give s(a(c)).\nAnswer: -117290862*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -189314355.74 from -0.4.\nAnswer: 189314355.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 < -157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1069 less than -243.75?\nAnswer: -243.6431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-2)\/(-1) + (-15 - -11). Let s be -2 + 0 + 6 + t. Suppose -20 = -2*u - s*u. Solve -3*v - u - 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/37431 or -21474?\nAnswer: 2\/37431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + p + p)*(6*p - 5*p - 2*p)*(-1 - 3*p**2 + 1).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 108457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flq when three letters picked without replacement from {q: 5, l: 2, c: 1, f: 8}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 40328519?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (11 - (32 + -13)) + 48.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3663 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 2*u + 2. Let q be p(3). Let h be (-6 - -1)*(-7 - q). What is the highest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 15 + 15. Suppose 4 - 7 = 4*g + w, -5*g + 2*w + 6 = i. Let y be (-12)\/36 - (g - (-1)\/(-3)). Is y at least 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-12)*-14*30\/(-1020)*-51?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 50.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**4 - 1 - 5*t + 0 + 9*t - 2*t**4 as o*t**2 + f*t + q*t**4 + w + i*t**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 67, 69, 81, 109, 159, 237, 349?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 4) in base 10?\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(50\/15)*8. What is the tens digit of ((-18)\/m)\/(2\/4) - -29?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2678 and 2522?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-9))\/((-4)\/(-2914)). Let o = y - -2130. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5443 (base 15) in base 13?\nAnswer: 8172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174 - 44. Suppose 0*q + p = 4*v + 2*q, -4*v + 2*q + 110 = 0. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 3:00 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 102\/(-18) - 23\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 627 + -626. Which is the third smallest value? (a) -3 (b) r (c) 4\/5 (d) -2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/102864 and 83\/1838694?\nAnswer: 14709552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4 + (-3 + 6 + 4)*(1 + 2 - 4))*(-17*v + 2*v - 6*v + (2*v - 3*v + 5*v)*(-1 - 2 + 1)).\nAnswer: 261*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366317770?\nAnswer: 2, 5, 7, 13, 89, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -808*k = 14064 - 48000 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -393, -96, 407, 1122, 2055?\n\"Answer: o**3 + 97*o**2 - o - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/((-19)\/((-342)\/(-9))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42773 (base 8) in base 4?\nAnswer: 10113323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19255 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 14. Let g = 6 - h. Which is the nearest to 1\/4? (a) -4 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*h + 46*h = 0. Suppose h = -3*v + 2*f + 97, 7*v + 4*f - 136 = 3*v. Calculate the greatest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*((sqrt(2) - sqrt(8)\/sqrt(4))*2 - -2*(sqrt(8) - sqrt(2))))**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d**3 + d**2 + 47*d - 47. Give i(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/59473 and 23\/66193449.\nAnswer: 66193449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 10.02. What is the third biggest value in 0, t, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 0, -0.4 in decreasing order.\nAnswer: 32, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -7. Let a be (-3)\/39*(-252)\/(-210). Is u > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 - (-42 + 51)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**6\/180 - 7*w**5\/120 - w**4\/9 + 4*w**3\/9 - 39*w + 18. Let q(b) be the first derivative of t(b). Factor q(v).\nAnswer: -v*(v - 1)*(v + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 2, x: 1, p: 1}. Give prob of sequence am.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -212 - -216. Suppose -u*p = 29*q - 34*q - 12, 2*p - 6 = 2*q. Solve 0 = -z - 4*a + p, -4*z + 6*z = -4*a + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177340, -2\/9, -1\/2 in decreasing order.\nAnswer: 177340, -2\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1526 + 4123. Is g a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7501.596 years in months?\nAnswer: 90019.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130221120 (base 4) to base 14.\nAnswer: -30a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 672, 3000, 6650, 11622?\n\"Answer: 661*f**2 + 345*f - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 * 6\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 334570 divided by 1364\nAnswer: 167285\/682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9728 and 1919.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*l = 1103, 3*s - 658 = -0*l - 5*l. Let c = s - -530. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 34034430334?\nAnswer: -34034430343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 - (-27576)\/32. Let g = 1900 - y. Suppose 4*h = 3*n - 5*n + g, -778 = -3*h - n. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -98\/4728555 and -99\/840632.\nAnswer: 37828440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*n**3 + 1546 - 1546 + 7*n**3.\nAnswer: 49*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 21, 15, -13, -69, -159?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 185, 151, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 2016.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6181, 8300, 10419, 12538, 14657?\nAnswer: 16776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133 - -141. Suppose 198 = 5*a + 4*w, -w + 5*w = x. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.3 (c) 2 (d) 277340 (e) -3 (f) 0.3 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 399*r = -394*r - 17, b + 14*r = 41 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*1\/((-7)\/(-14))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1737 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 6*p**2 + 44. Let f(o) = -4*o**2 + 0*o**2 + 2*o**2. Calculate f(a(c)).\nAnswer: -288*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -28*b - 2. Let z(n) = 19*n + 4. What is -4*l(h) - 5*z(h)?\nAnswer: 17*h - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014222518 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 384*j + 388.\nAnswer: -4*(j - 1)*(j + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 g when four letters picked without replacement from gpulghh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -739113.45 to the nearest 100.\nAnswer: -739100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**5\/7 - 10*v**4\/7 - 18*v**3\/7 - 2*v**2 - 4*v\/7 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.08 + 13.92. What is the smallest value in 0.1, m, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3069 = -29*n. What is the remainder when n is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154589715 a multiple of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 114*g = -116*g - 13, 4*i + g = -17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34131 - -48798. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**4\/4 - 2*k**3 + 2*k**2 + 9*k - 26. Calculate the smallest common multiple of m(5) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/573 and -1\/5?\nAnswer: 2865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -5. Let k(u) = -9*u**3 - 7*u**2 + 5 - 9*u + 4 + 10*u**3. What is k(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 s, and 1 n when three letters picked without replacement from {t: 5, g: 1, s: 1, j: 2, n: 1, p: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**(16\/9))*o**(-2\/53) assuming o is positive.\nAnswer: o**(830\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10167026.37 less than -3?\nAnswer: 10167023.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 194, 1120, 3476, 7970, 15310, 26204, 41360?\n\"Answer: 118*o**3 + 7*o**2 + 79*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 14*m + 12. What is j(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41\/3 in -1\/4, -3\/7, -0.07?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -262*s + 260*s - 3*l, 0 = -2*l + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0.331, -20, 5, 2?\nAnswer: 0.331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.3 times 9.5?\nAnswer: -677.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4}. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1399.4 times 35\nAnswer: 48979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3))**(8\/5)*(q\/(q*q\/q**21))\/q**29 assuming q is positive.\nAnswer: q**(-127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7845*g + 4075*g + 1 + 4787*g)*(-44*g + 44*g + 35*g**2) to the form l*g**2 + z*g**3 + t + r*g and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204465?\nAnswer: 3, 5, 43, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -39*n + 1. Let l(t) = -10*t. Let r(q) = q**3 + 9*q**2 - 36*q + 2. Let b be r(-12). What is b*v(p) - 9*l(p)?\nAnswer: 12*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 + 138. Suppose -z = -4*k - 98. Is -6*(-2)\/k + (-3632)\/(-20) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 79612192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7374.\nAnswer: 2, 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**3 + 205*n**2 - 253*n + 55. Determine g(50).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1955 + 3*p + 1956 - 3*p**2 + 6*p. Give y(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319, 1546, 4171, 8668, 15511, 25174, 38131?\nAnswer: 54856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000611096434 rounded to seven dps?\nAnswer: 0.0000611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzymymlyzmymzmrmrzrz. What is prob of sequence lmz?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 12*f - 7. Let l(y) = -26*y + 17. Let g(u) = -6*l(u) - 15*x(u). Calculate g(3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:59 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 42 = -l + 3*c, -5*c = -2*l + 43. Suppose 194 = l*u - 49. Suppose -30 = -f - 0*f. What is the smallest common multiple of u and f?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 535 divide 6430700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 8. Let h = -5 - -5.4. Let j be 4 + -7 - (1 + 1). What is the second biggest value in q, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4741 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 272\/(-510)*60\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 8*c - 4. Let b be z(6). Calculate the greatest common factor of b and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1006 (base 12) to base 7\nAnswer: 5025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v + 214 = 0. Let t = v - 209\/2. Which is the biggest value? (a) -5 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/8)*n**(1\/6))\/((n**(-2)\/n)\/n*n)**2)\/((n*n**6)\/n**(-9))**(-43) assuming n is positive.\nAnswer: n**(16681\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y**(-2\/21)*y))*y*y**25 assuming y is positive.\nAnswer: y**(565\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 34. Let k be 5 - (-4 - d\/6). Solve 4*r - k - 17 = -2*v, 3*v = 2*r - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z - 2*q + 2 = -21*z, 24*z + 3 = 3*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 1)*-2 - 1\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37142*h**3*w*x + 14*h**3 - 1652*h**2*w*x + 65*h**2*w - 3*h*w + 15 with respect to x.\nAnswer: -37142*h**3*w - 1652*h**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**4\/4 + z**3 + 9*z**2 + 9*z - 72. List the prime factors of q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9576 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 348617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + i + 4. Let w be s(2). Let f(y) be the first derivative of y - 1. Let r(v) = 30*v**2 - 3*v + 3 - 2*v**3 - 29*v**2 + 3*v. Give w*f(n) - r(n).\nAnswer: 2*n**3 - n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*t + 17 = -151*t - 3*r, 4*r = -4*t + 20. Solve 2*y = -4*v + 10, 2*y - t*v = -y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16385 (base 9) in base 6?\nAnswer: 124035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*j - 5*z, -3*j - 4*z - 9 = 4. Are -1\/57 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -1\/8*n**4 + 0*n + 0 - 2*n**2 + 0*n**3. Let v(o) = 5*o**2. Determine r(v(p)).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 7:58 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21606, 21605, 21604, 21603, 21602?\nAnswer: 21601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57 in 3\/5, -2\/11, 22\/73, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*f - 2*t + 13, 4*t = -5*f + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-2*(-17)\/(-51))\/((-2)\/(-6)). What is the biggest value in 0.17, 1, -2\/7, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(20\/(-8)) - 96\/(-10). Suppose -16 = -4*p + 4*g, -r*p + 7*p + 12 = 2*g. Solve -4*c = p*t + 32, c - 5*c = -2*t + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 43*f**2 + 1094*f + 8. Let c(v) = 72*v**2 + 2188*v + 14. Determine 3*c(a) - 5*k(a).\nAnswer: a**2 + 1094*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*p = -12. Let q = -13 + p. Let f = q + 50. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 12 = 8. Let p = w - -6. Let i = p - -1. Solve k + 5 = 5*b - 0*k, 2*b + i*k - 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m + 13. What is the remainder when 115 is divided by h(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 4459?\nAnswer: 4459.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19835 - 218183\/11. Which is the nearest to 0.01? (a) -4\/5 (b) -8\/5 (c) -1 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-14) - (-408187)\/(-25858)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 8*w + 3. Let k = -1 + -3. Let y(l) = l**2 + 7*l + 2. Let o(h) = k*y(h) + 3*n(h). Give o(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 627.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5184044479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 19*c - 18. Let w be s(15). Find the first derivative of -12*k + w*k - 8 + 2*k**2 + 74 wrt k.\nAnswer: 4*k + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 15 = -17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 11*v**2 - 9*v - 4. Let q(u) = 56*u**2 - 42*u - 20. Calculate 14*h(z) - 3*q(z).\nAnswer: -14*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 2. Suppose -x - 8 = 2*l, -5*l + 5*x = 3 + 2. Calculate w(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 718, 716, 714, 712?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 8026856?\nAnswer: 1\/8026856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 3*u + 6. Let d(x) = 5*x**2 - 14*x + 30. Let c(v) = -2*d(v) + 11*i(v). Calculate the remainder when 22 is divided by c(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 35. Factor 2\/9*s**3 - 2\/3*s + g*s**2 - 4\/9.\nAnswer: 2*(s - 2)*(s + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152 + 1887. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/(25\/(-300)). Sort -16, -1, y in increasing order.\nAnswer: -16, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*p**3 + 4*d**2*p - 5*d**2 - 30181*d*p**3 - 4*d*p - 4*d - 2*p**3 - 3 wrt p.\nAnswer: 12*d**2*p - 181086*d*p - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {y: 1, t: 2, k: 2, w: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrv when three letters picked without replacement from oimrrvd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*u + 23*u + 6 - 2*u**3 + (18*u**3 - 12*u**3 - 9*u**3)*(-3 - 3 + 4).\nAnswer: 4*u**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8826.029 millennia to centuries.\nAnswer: 88260.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -17, 267\/2, -1\/5, 92, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42*-4*(-3)\/24. Let b = p + 212. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkka when four letters picked without replacement from aaakacackakaaaacca?\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -7*t - t. Solve l = j + 5*l - 1, 5*j - 3*l - 5 = t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 46. Let g = -20 + s. Suppose n - g = 4. Solve n = 5*h - 5*v, 9 = 3*h + h - 3*v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*v + 3. Suppose 0 = a + v*a + 3*r - 75, 2*a - 5*r - 71 = 0. Let u = 67 - a. What is the remainder when 115 is divided by u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3242\/11 - -296. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011010100001 - 0?\nAnswer: 1101011010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -14, -18, -24, -32?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3032023 (base 4) to base 3.\nAnswer: -200002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15746 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58715, -58711, -58705, -58697, -58687, -58675?\nAnswer: -58661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6699\/1421)\/(3\/7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13598 - -13598.102923. Let c = 0.103 - h. What is c rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (72\/(-24))\/((-38)\/37 - -1). Let c = -93 + q. What is the least common multiple of 20 and c?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*u - 55, -4*q - 21 + 101 = -4*u. Let d = 312 - 296. What is the lowest common multiple of (24\/d)\/((-22)\/12 + 2) and q?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, 44 in descending order.\nAnswer: 44, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 113*a - 1. Let h(i) = 124*i. Give h(f(y)).\nAnswer: 14012*y - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o - o - 514 + 512.\nAnswer: 13*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 6734 + h - 6560)*(-1121 + 1121 - 76*h) to the form d*h + u*h**2 + p and give u.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, 0.1, 5, -2066, 2, 11 in decreasing order.\nAnswer: 11, 5, 2, 0.1, -0.19, -2066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - g = 9, 2*g = -3*r - g - 12. Let u(m) = 4 - 1 - r + m. Calculate u(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 109*f + 1713. Let k be d(19). Let n = -3.4 + 3.27. Which is the nearest to 1\/4? (a) k (b) 1\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**8\/6720 - a**5\/60 + a**4\/6 + 3*a. Let s(o) be the third derivative of y(o). What is the first derivative of s(n) wrt n?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 divided by -275?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z - 396070 = 48*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4072*b**5 + 4*b**3 + 6*b**2 - 1618817*b wrt b.\nAnswer: 81440*b**3 + 24*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*t - 361*t - 187*t + 16610 = 0 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:28 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-4*7\/28)\/(62\/(-2356))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 45 = -6*b. Suppose -35 = 8*l - 3*l. Let q = l + b. Calculate the lowest common multiple of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -20594.\nAnswer: -1\/20594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**4\/7 + 342*i**3\/7 + 1656*i**2\/7 + 2298*i\/7 + 981\/7 = 0.\nAnswer: -109, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -206 - -202. Sort 0.3, m, -11 in increasing order.\nAnswer: -11, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-99)\/(-18))\/(3\/2). Let u(s) = -3*s - 15. Let c(p) = -2*p - 7. Determine v*c(g) + 2*u(g).\nAnswer: 4*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -5, -4 in decreasing order.\nAnswer: -4, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/1047 and -68\/9.\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63*15\/135 - -1108044 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7935216 to the nearest one hundred thousand.\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 15*m**3 + 20*m**2 - 4*m + 147. Let b(y) = -17*y**3 - 24*y**2 + 5*y - 144. What is -5*b(d) - 6*s(d)?\nAnswer: -5*d**3 - d - 162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1403 + 922. Let k = s + 478. Let t be (-3)\/(-9)*(-6)\/(-16). Which is the biggest value? (a) 4 (b) k (c) t (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 9:15 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -3.4 (b) -1 (c) -4 (d) -11 (e) 5 (f) -2\/79\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 191548*r**2 - 383066*r - 60.\nAnswer: 2*(r - 2)*(95774*r + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uel when three letters picked without replacement from yyuuueymlllyuul?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*o + 1872*o + 200*o.\nAnswer: 1863*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0 + 5*w + 107\/6*w**3 + w**2. Let l be j(4). Round l to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105.6 - -106. What is the second smallest value in t, -1\/3, -0.025, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13981 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12631 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 9636 = 3*o - 36772, 0 = 5*o + 4*d - 45216. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66757108 and 2068?\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4 - 29*u + 1 + u**3 + u**2 + 28*u - 4. Let j(x) = 4*x**3 + 3*x**2 - 3*x + 3. What is -5*j(n) + 15*y(n)?\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53998000 and 475?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/72332 and -51\/5027074?\nAnswer: 10054148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13490946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57 * -134369.\nAnswer: -7659033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y + 7. Let f be g(-5). Let c = f - -10. Suppose 5*u - c*u - 159 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124045 - -124044.9833913. Round f to 4 decimal places.\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -36. Let m = -9057 + 9062. Calculate the remainder when y is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, -1, 0.09, 2, -0.5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -9.9, -0.2, 20, -2\/9.\nAnswer: -9.9, -2\/9, -0.2, 2\/5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6243010, 12486018, 18729026, 24972034, 31215042?\nAnswer: 37458050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 7, 1\/4, 0.4, 241?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 645*d - 602*d - 4515 = 0. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*i - 1031606 = -596218 + 1673467. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 2*sqrt(128)*5 + -3 + (1 + sqrt(128) - sqrt(128)))*1)**2.\nAnswer: -352*sqrt(2) + 15492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/2565?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*24*18\/24. Suppose 16*m = g*m - 68. Calculate the highest common factor of 34 and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 317321.8 rounded to the nearest one thousand?\nAnswer: 317000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 13*m**2 + 10*m - 27. Let l be x(-12). Let i be (3\/l - -3) + 12\/(-6). Solve 7 = -d - w, 0 = -4*d + 4*w - 12 - i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -20*d**5 - 235*d**4 + 1160*d**3 + 2725*d**2 - 750*d = 0.\nAnswer: -15, -2, 0, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 79487546.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.06 and 13074779 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -185, 0.3, -1\/10, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 0*u - 3*u - u + 4. Suppose -30 = 3*i + 2*i. Calculate the remainder when m(i) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19033.641 months in years?\nAnswer: 1586.13675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Suppose q*z - 60 = -5*s - z, 10 = -2*z. Calculate the highest common divisor of s and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j**2. Let a(n) = n**3 + n**2. Suppose 0 = 743*c - 748*c - 10. What is c*d(i) - 18*a(i)?\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 23) + 0 + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 8 + 20*n + 55*n - 9 to z*n + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 3*a + 9. Let r be x(6). Let i = -2 + 2. Suppose 20 = 4*z - i*z. Solve -2*h - 4*b + 24 = 4, 3*h + z*b = r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/((u*u\/u**(-2\/5))\/u*u)*u*u**6*u\/(u\/u**1)*u**(3\/5))\/(u**(-2\/17)\/(u\/(u*u**(-1)))*u**(-2)*u**2) assuming u is positive.\nAnswer: u**(877\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**3 - 6*b**3 + 2*b**3. Let u be 1\/(-3)*36\/(-12). Let d(t) = 8*t**3. Calculate u*d(f) + 5*z(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00339306 to 4 decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -36 - 3. Suppose 4*p + 27 = p. Let j = p - s. Calculate the least common multiple of 18 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from nnneeennneen?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25616 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**2\/6 - 121*l\/6 - 59 = 0.\nAnswer: -118, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, 0, -69, -20, -1, -3 in ascending order.\nAnswer: -79, -69, -20, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/16711544 - 2638176249365\/183826984. Let l(i) = -897*i**2 + 2*i + 6. Let b be l(-4). Let g = q - b. What is the common denominator of -109\/22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.07, 4, -1\/86?\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115539 is divided by 1521?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1129997653 - -35.7?\nAnswer: -1129997617.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by -7787668.\nAnswer: -67\/7787668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/55)*y*y**(-4\/21))\/(y*y**16)**25 assuming y is positive.\nAnswer: y**(-489898\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 526 = -3*s - 3*q, 2*q + 277 = s. Suppose 33 = -2*m + s. Let j = m + 35. What is the highest common divisor of 17 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0.06, 0.04, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -265*d**3*k + 293*d**3 - d**2*k**4 + 2*d**2 wrt k?\nAnswer: -265*d**3 - 4*d**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-3))\/(2\/(-42)). Which is bigger: 26 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 30 = -d + 14 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353244307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + l - 58 - 3*l.\nAnswer: -2*l - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.61 - 36.39. Let s = 23 + q. Sort 0.3, -1\/4, 2, s in descending order.\nAnswer: 2, 0.3, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43047821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7 or -41\/91829?\nAnswer: -41\/91829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nen when three letters picked without replacement from eeneeeeeneeee.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 5:48 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6585*t = 6542*t - 86 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 146, 281, 416, 551, 686?\n\"Answer: 135*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 2:52 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1356844.2 - 1356844.58598894. Let g = n - -0.386. What is g rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 39 and 2156590.42762.\nAnswer: 2156629.42762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 3*x**2 + 6*x - 6. Determine q(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-485 + 1071 - 429)*(-y**2 + y**2 + 2*y**2).\nAnswer: 314*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -39, -2\/3, 5, -2\/15?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/10, 0.1, 325\/6, -4\/3 in decreasing order.\nAnswer: 325\/6, 0.1, -7\/10, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 4. Let x(q) = q**3 + 7*q**2 + 6*q + 9. What are the prime factors of x(j)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*l - 4*s, 0 = 3*l - l + 2*s - 4. Suppose 0 = 5*k - 5*a - 45, a = 4*k - l*a - 41. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -21083*s + 84338. Calculate j(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100010010000111100 (base 2) in base 15?\nAnswer: 7e3cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 43. Is b(-45) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5446, 5520, 5726, 6130, 6798, 7796, 9190, 11046?\nAnswer: 13430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -26.971*1\nAnswer: -26.971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 - -73. Let w be (-2)\/(-11) - (-8652)\/q. Let y = w + 434. Does 43 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 = 24, -9969 = -v - 3*p. List the prime factors of v.\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 6*k**2 - 140*k - 288.\nAnswer: 2*(k - 8)*(k + 2)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1079*a - 2193*a - 5696*a.\nAnswer: -8968*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f\/(f\/(f\/(f**(-1)*f*f*f)))))*f\/((f\/f**(-1\/10)*f)\/f*f)*f**(3\/2)*f*f\/(f**(-3)*f) assuming f is positive.\nAnswer: f**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55\/216 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -69, -78, -87, -96, -105?\n\"Answer: -9*m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hiy when three letters picked without replacement from {s: 1, m: 3, h: 2, i: 1, v: 1, y: 5}.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 15, o: 5}. What is prob of sequence ool?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 - 14*h + 10. Let q(g) = -14*g**2 - 41*g + 29. Let y(f) = 6*q(f) - 17*r(f). Determine y(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - -5)*2\/4. Suppose 5*u - 111 = -1. Let q be -13 + 9 + 84\/u. Which is smaller: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 7*b**2 - 9*b - 10. Let r be z(-7). Let l = r + -20. Is ((-28)\/(-6) + -3)*l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 3\/2 (b) -12 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5825 - 3292. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3007 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/131, -2, -0.11, -1\/4.\nAnswer: -2, -1\/4, -0.11, 2\/131, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-15))\/(8\/90))\/(9180\/24480)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 802 + -801. Let z be 52\/(-14) + 2\/(-7). Let y = z + n. Sort 0.1, -5, y in descending order.\nAnswer: 0.1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 2*p**2 - 2*p**3)*(-p + p - 4*p)*(7 + 4 - 4).\nAnswer: 56*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 + 42 - 9*r**3 + 49.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 203*v**3 - 50*v**3 - 57*v**3 + v + 11*v**2 - 47*v**3 - 47*v**3 - 4 as b*v + n + g*v**2 + m*v**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 543 + -542. Which is greater: 11\/337 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*o**3*s**3 - 15*o**3*s**2 + 8*o**3*s + 2*o**2*s + 2*o**2 wrt s?\nAnswer: -30*o**3*s - 30*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, n: 4}. Give prob of picking 1 n and 1 i.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 47?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 407.3706 days in seconds?\nAnswer: 35196819.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3\/178 (b) -1\/2 (c) 21 (d) 340\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11243*i*n**2*v + 5*i*n*v + 2*i*n - 16*i*v + 16 wrt n?\nAnswer: -22486*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364791 is divided by 6923?\nAnswer: 4795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85.1 + 89. What is x rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165354 greater than 992119\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1 + (-1008)\/208?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w - 21. What is the smallest common multiple of k(4) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 34, 25, 2, -41, -110, -211, -350?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 580?\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**3\/4 + 381*w**2\/2 + 28141*w\/4 - 4290 = 0.\nAnswer: -88, -65, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 33969745.8 and -16169.\nAnswer: 33953576.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -47*w + 54*w. Suppose 2 + 0 = u + 2*q, -3*q = -w*u - 12. Put 1, 13, u in ascending order.\nAnswer: u, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*m - 8. Suppose -6 + 20 = -2*w. Let q = m - w. Solve 4*f = 5*x - 3, q*f + x + 0 = -5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + t + 2 = 0, 3*t = -5*c + 7*t + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2)*((54 - 43) + -13 + 1). Let w(b) be the first derivative of -1 - 3\/2*b**2 - b - 1\/3*b**3. Give w(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 254374296 and 6072?\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**7\/14 - 14*c**6\/5 + 333*c**5\/10 - 91*c**4 + 169*c**3\/2 + 3*c - 30. Find p such that g(p) = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 284\/126 + (-8 - -6). Let n = x + -1\/9. Let l(f) = -f + 1. Let s be l(1). Which is bigger: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -481.\nAnswer: -2\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -31539, 46, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -396*l*z**3 + 33*z**3 with respect to l.\nAnswer: -396*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*p**3*x**4 - 334*p**3*x - 1325616*p**2*x**4 - 652726*p*x**2 wrt x?\nAnswer: 1272*p**3*x - 31814784*p**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(-7)\/((-140)\/8). Let z = 5 - 9. Let k = -0.12 - -0.02. What is the nearest to 1 in d, k, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1076247, -1076255, -1076287, -1076355, -1076471, -1076647?\nAnswer: -1076895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f. Let g(b) = 0 - b + 0. Let a(r) = 6*d(r) + 5*g(r). Let v(o) be the third derivative of -o**4\/24 - o**2. Determine a(v(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(704)*-2*-4 + (-4 + sqrt(176) - (sqrt(1584) - (sqrt(1584) - sqrt(1584)*1) - sqrt(1584))) + -2)**2.\nAnswer: -4656*sqrt(11) + 1656020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -61, -540, -1793, -4192, -8109, -13916, -21985?\n\"Answer: -62*n**3 - 15*n**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 498372486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 32305, 2\/11 in descending order.\nAnswer: 32305, 4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**3\/9 - 4910*v**2\/9 + 124618*v\/3 - 803426 = 0?\nAnswer: 39, 2377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from nunuuyyuyy?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2210313, 8841241, 19892787, 35364951, 55257733?\n\"Answer: 2210309*u**2 + u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(66) + (sqrt(66) - (-1*sqrt(66) - sqrt(66)) - sqrt(66))*-6)*-5)\/(sqrt(864)\/sqrt(9) + sqrt(2646)).\nAnswer: 44*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 5 = 17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/6*123\/41\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, 6, 2\/11, 87, -3\/2 in descending order.\nAnswer: 87, 6, 2\/11, -1\/16, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/60 and -127\/4590.\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -128, -4, -3.\nAnswer: -128, -4, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 + -212. Suppose -6223 = -5*t + c*q, -2*q - 6222 = -5*t - 0*t. List the prime factors of t.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01 or -2.499?\nAnswer: -2.499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*v**2\/3 + 4889*v + 63623\/3.\nAnswer: (v + 427)*(34*v + 149)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -182*p**2*x**2 + 14*p**2*x - 2*p**2 - 2*p*x**2 + 1179*x wrt p?\nAnswer: -364*x**2 + 28*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2170 + 2237.16. What is f rounded to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 9*j - 91. Let n be z(-15). Suppose y + 3*y = -12. Which is smaller: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - b - 36. Suppose -b = -2*s + 4*f + 36, 53 = 3*s + 5*f. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 + 7)*7\/(-3) - (-517)\/(-88). Factor 5\/4 - 1\/8*z**2 + t*z.\nAnswer: -(z - 10)*(z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n + 9*n - 13*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -288*n**2. Let f(t) = 4*t. Determine s(f(d)).\nAnswer: -4608*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i**3 + 5*i**2 - 5*i. Let b = 33 - 35. Let s(w) be the first derivative of w**4 + 2*w**3\/3 - w**2 + 1. Give b*y(u) + 5*s(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -55 + 42 - (-13 - 2). Sort c, 11, -40, 3 in descending order.\nAnswer: 11, 3, c, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -10) + 33 + -18 + (-2 - 5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-8))\/(((-183)\/54)\/(-61)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7463.533 grams to milligrams.\nAnswer: 7463533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*c + 21 = 0. Let a be 0*3*c\/36. Suppose -2*z - d + 1 = -2, a = z + 5*d + 21. Solve -2*m - 6 - z = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -17. Suppose -4*i = 2*q - 6*q, 4*i + 5*q - 9 = 0. Suppose 3*y - 5*o = -o - 6, -o + i = -y. Is y > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r. Suppose 6*u - 8 - 16 = r. Suppose -47*k = -50*k. Solve -7 = u*w - v + 6, k = 5*w + 5*v + 35 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/23, 1\/2, 0, -34, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 204, 496, 902, 1428?\n\"Answer: z**3 + 48*z**2 + 33*z - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 77*q**3 - 113*q**3 - 3.\nAnswer: -190*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 26 = -5*k, -5*k - i + 45 - 31 = 0. Solve -5*b + 4*q + 2 = 0, 2*b - k*q = -7*q - 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 11:47 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_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: What is the ten thousands digit of 30455906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -147 - 3893484872\nAnswer: -3893485019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 18*p**2 - 3*p + 63. Give r(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2145357 = -5*y + 2*s, -157*y + s = -161*y + 1716283. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + e1?\nAnswer: e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -11*f**8\/56 - 2*f**5\/5 + 1391*f**4\/12 + 2*f - 892. Find the third derivative of n(o) wrt o.\nAnswer: -1320*o**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -364 - -380. Suppose -2*f = 4*t + 14, t + 5*f + g = 2*f. Is -1 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 12*y + 15. Let a(l) = -22*l - 386. Let w be a(-17). Let s be (4\/(-7))\/((w\/(-14))\/y). Solve x = s*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -10. Let s be -3 - (-10)\/((-10)\/(-3)). Suppose -3*b + 168 - d = s. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -12. Suppose -3*h + 4*q + 18 = 0, -h = -4*q + 2 - f. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -y + 2*y. Suppose -52 = -3*d - y. Calculate the remainder when 89 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4820 divided by -964.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - 0.4. Suppose 0*k + l - 4 = -2*k, 2*l = 5*k - 1. What is the biggest value in k, u, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7949982 or 7949983?\nAnswer: 7949982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5 = 2*t. Let h(s) = -4*s**3 + s**2 + 2. Let a(b) = -8*b**3 + b**2 + 5. Let p(j) = t*h(j) - 2*a(j). Find the third derivative of p(y) wrt y.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 3*f + 4*f)*(-1 + 10 + 5)*(-4*f + 4*f - 2*f**3 + 3*f - f**3 - 3*f + (-2*f**2 + f**2 + 0*f**2)*(-2*f + 2*f + 2*f)).\nAnswer: -70*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 5*n - 1. Let k(q) = q**2 - q. Let c(u) = -2*k(u) + w(u). Let g = 1 - 5. Calculate c(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 9. Let r be n(-6). Let p = 421 - 406. Suppose -p*c - 14*c = 0. Sort 1, r, c in decreasing order.\nAnswer: 1, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**2 + 3*s**2 + s**2 - 3*s - 1. Let y be v(-3). Let w be 64*(-450000)\/(y*3). Round w to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -541, -4311, -14549, -34489, -67365, -116411, -184861?\nAnswer: -275949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42331312 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21338303 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*z**4 + 116*z**2 - 4988*z.\nAnswer: 48*z**2 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1008552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 14. Let o be 1 - (-151 - 1\/1). Suppose -4*c + 2*t + 153 = -j, 4*c - t = o. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62\/17 + 1025\/34. Let f = -28 + q. Which is the third smallest value? (a) -5 (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2, -0.1, 6, 0.4, 27206 in descending order.\nAnswer: 27206, 6, 2, 0.4, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 545812961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 35. Does 40 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19441124?\nAnswer: 2, 4860281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4\/13 + 5323284*t**3\/13 - 3542174391362*t**2\/13 + 7084332812880*t\/13 - 3542163744800\/13 = 0.\nAnswer: 1, 1330820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27139833 - -34?\nAnswer: 27139867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s - 54*s - 176 = 81*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**2 + 4*o + 31. Let v(l) = -16 + 4*l - 1556*l**2 - 1547*l**2 + 3107*l**2 - 6*l. Calculate -3*u(z) - 5*v(z).\nAnswer: z**2 - 2*z - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1096 - -2931. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 + 2.4. Which is the closest to 1? (a) 2 (b) 8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -48. List the prime factors of (-6)\/(-30) - ((-378)\/x + -2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2 - 23 = 0. Solve -22 = 4*h + 5*a - 1, -a - t = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -56. Which is the third biggest value? (a) 0.4 (b) n (c) 3\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:09 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4067, -8137, -12207?\nAnswer: -16277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5\/5 + 16*a**4\/5 + 138*a**3 - 5776*a**2\/5 + 11552*a\/5 = 0.\nAnswer: -19, 0, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 v when four letters picked without replacement from {x: 3, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1849358 - -1052889. Let a be p\/(-297450) - 20\/50. Let y = a + 2\/16525. What is the common denominator of -2\/27 and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 311 divided by -1618\nAnswer: -311\/1618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 2*h + 3*h**3 + 41*h**2 + 377*h**2 + 3*h - 2*h - 36 to n*h**2 + w*h**3 + z*h + o and give n.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(780\/512) - 3. Let b = s + 5\/13. Put 0, -3\/8, b in decreasing order.\nAnswer: b, 0, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -8, 0 = 5*z - 2*d + 214 - 991. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 6915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u - 8. Let x be z(0). Calculate the remainder when (3 - (-9 - x)) + 462 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2565, 1375, 185, -1005, -2195, -3385?\nAnswer: -4575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 55?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2869.9651 to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/(-156) - 42\/8. What is the least common multiple of (-12)\/(t - (-91)\/21) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 192.2191 and 52.\nAnswer: 244.2191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 7 - 3, -5 = 3*h - 5*d. Suppose 2*m = -3*i - 8, h*m = 5*i - m - 4. Suppose -y + 5*y + 12 = i. Which is the closest to -2? (a) 1 (b) y (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -15*n**4 - 13670*n**3 + 9155*n**2 + 31930*n + 9120 = 0?\nAnswer: -912, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 11*a**2 - 12*a - 2. Let q be r(-10). Let l be (1\/3)\/((15\/q)\/5). Let o(m) = -9*m**2 + 8*m**l + 8*m + 8 + 2*m**2. What is o(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b + 2. Let r(a) = -a - 1. Let n(x) = 2*f(x) + 4*r(x). Suppose 0 = -41*q + 86 + 242. Let v(l) = 3*l - 10*l - q*l - 16*l. Determine v(n(o)).\nAnswer: -62*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6)*(-5)\/(-30).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/459 and -53\/191826.\nAnswer: 9783126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30389.\nAnswer: 30389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 8 + 11)*(4*h**2 - 4*h**2 + 2*h**2)*(h**2 - 2*h**2 - 2*h**2).\nAnswer: -48*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5460 divided by -130?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(104)\/(sqrt(32)\/sqrt(4)).\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196993 by -377.\nAnswer: -196993\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3347692609?\nAnswer: 3347692609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 2*n**2 + 3*n + 3. Let g be -2 + 0 + (4 - 2). Let b be r(g). Suppose -4*z = 5*d - 73, -2*z = -0*z - b*d - 9. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 357, -3 in ascending order.\nAnswer: -3, -1\/6, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18092643.\nAnswer: 3, 971, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 92. Let z = -77 + y. Let p be (-1)\/(-4) + (-60)\/(-16). Solve z = n - p - 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32280.47 + 32248.46974. Let z = i + 32. Round z to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -53. Let r = o + 67. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 3*z. Find the first derivative of -z*h**4 + 4*h**4 + h**4 - 3 - h**4 wrt h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1885094?\nAnswer: 2, 389, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 115*l**2 + 2295*l - 10098. Determine p(91).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4544522 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 9 - 2)*(-z - 2*z + 2*z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1640\/9 + -182. Let o(h) = h + 38. Let k be o(-37). Which is the second biggest value? (a) x (b) k (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8346003*w**2. Let q(x) = x. Calculate q(l(n)).\nAnswer: 8346003*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24630 - -10123. Let i = -334 - o. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 100*i**2 - 5751*i + 6044. What is f(40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61864 divided by -15466?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 142\/7 in 4\/7, -0.4, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 438 - 252. Suppose -11*s = -16*s + o. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5839889 divided by 5731\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyf when three letters picked without replacement from {y: 3, f: 3, p: 2, e: 2, g: 3, k: 1}?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11118, -11405, -11692, -11979, -12266?\n\"Answer: -287*g - 10831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 4\/((-12)\/(-9)))*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 27\/7666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5)*a*a\/(a\/((a*a**2)\/a)))\/(a**(-1\/2)*a*a\/(a\/a**(-2\/9))*a) assuming a is positive.\nAnswer: a**(-41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o**2 - 71*o - 2. Let b be u(-37). Let q = -5192 - b. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 756.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/(t*t**1))**(-3\/10))**(-29)*t\/((t*t\/(t**(-5)\/t))\/t*t)*t**(-1)*((t\/t**1)\/t)**(-46) assuming t is positive.\nAnswer: t**(467\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4607457*o + 4607458*o - 141 - 9214916*o.\nAnswer: -o - 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 13783476 + 7*y**3 - 13783476.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3425 - 104*y + 1479 + 106*y to t + j*y and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.5189105ns?\nAnswer: 0.000000000025315175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 10*j - 7. Calculate the least common multiple of 20 and z(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5988 - -5988.1. Which is the biggest value? (a) -2\/831 (b) v (c) 1\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12759 - -12802. Calculate the lowest common multiple of 11 and a.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 1563 - 1443 + 2334.\nAnswer: z**2 - 672","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 3*s - 69 = 0, 3*w - 26*s - 29 = -30*s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.2 - 7.358134?\nAnswer: -32.558134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 419237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 143*g**2 + 11*g + 11. Let s(o) = -72*o**2 - 6*o - 6. Give -11*s(r) - 6*u(r).\nAnswer: -66*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*b**2 - 201 + 49 - 156*b - 364*b**2 + 198*b**2.\nAnswer: -4*(b + 1)*(b + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510 = -j - 512, -g + 9 = -4*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/72*(-6)\/5)\/(3\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10347402 to the nearest integer?\nAnswer: 3217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-34)*14\/(-35)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - -15) + -3 - (5 + -18 + 4 + 94)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 587070307 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 50*w - 128, 3*w = -16018*b + 16024*b + 120 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000776884 rounded to 7 dps?\nAnswer: -0.0000777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2695 and 1122737.\nAnswer: 5613685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = o - 69. Suppose 5*x - 5*t = o, x - 3*t + 75 = 4*x. Sort x, -3, 4.\nAnswer: -3, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 64. Let q = -33 - w. What is the second derivative of -6*h**4 - 6*h + 3*h**q + 4*h**4 - 2*h wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 126.47 and 764148.2.\nAnswer: 764274.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -3, 4 in decreasing order.\nAnswer: 4, 3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*((sqrt(612) + 1)*6 + 0 + sqrt(612) + -1))**2.\nAnswer: 2520*sqrt(17) + 180078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, 3, -4, 0 in descending order.\nAnswer: 3, 0, -4, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14988, -15009, -15032, -15057, -15084, -15113?\nAnswer: -15144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(3 - 35\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15937 - 15935. Factor -9\/2*t**3 + 0*t - 33\/4*t**4 + 0*t**q + 0.\nAnswer: -3*t**3*(11*t + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d + 9*d + 7 + 0*d. Let t(a) = -a - 2. Suppose -21 = -3*k + 75. Let o = k + -46. What is o*t(x) - 4*z(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2041413 (base 5) to base 3.\nAnswer: 1201121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -376703 or -376712?\nAnswer: -376712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - y**2 + 31*y + 31. Calculate q(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + sqrt(304))*6 + 4)**2*-4*5*1.\nAnswer: -230400 - 23040*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + f - 7 = 0, -5*f - 76 = 5*w - 51 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52569\/(-594)*8\/12?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 7*g**4\/24 - 65*g**3\/6 - 49*g**2. Let u be o(10). Let i = -1.5 - -2. Which is the closest to 2\/7? (a) u (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 + 280776036*a**2 - 6569598532656108*a = 0. Calculate a.\nAnswer: 0, 46796006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3472*c = 3460*c - 12. Let o = 162\/5 - 32. Put o, c, -2\/9, -2 in decreasing order.\nAnswer: o, -2\/9, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3777 = -4*q + q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(5) + sqrt(10)\/sqrt(18))*-6)**2.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 3*l + 19 - 27, 0 = -3*l - 5*p + 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*24\/(-9)*(-18)\/8. Let b(d) = 4*d + 1. Let p be b(2). What is the greatest common factor of p and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -398 - -618. Suppose 4*m + z = 2*q, -4*q + 12 = 3*m + 166. Let a = -30 - m. Calculate the least common multiple of 12 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2255*d + 2211*d + 294800. Does 268 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((31 + 26 + 50)*(7*q + 8*q - q) + 4*q - 2*q - q)*(0 + 6 - 3) to the form v + o*q and give o.\nAnswer: 4497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -367, -366, -365, -364?\n\"Answer: i - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 304958723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11110827\/2 or 5555415?\nAnswer: 11110827\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 1. Let q(r) = -20*r**2 - 1. Determine -q(i) - 4*t(i).\nAnswer: 16*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -23953 to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 373272972 to the power of 1\/2, to the nearest integer?\nAnswer: 19320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -0.06. Which is the nearest to i? (a) 1\/2 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(10\/812))\/2. Suppose -19 - 6 = -5*r. Suppose r*t - d - s = 3*t, 3*d + 509 = 5*t. Is t a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 8. Let c(k) = -k**2 - 9. Suppose v - 7 = -25. Let q = v - -21. Suppose -h + 27 = -l - q*l, 0 = 2*h + 2. Determine l*n(j) - 6*c(j).\nAnswer: -j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3526, -7049, -10572, -14095, -17618, -21141?\n\"Answer: -3523*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:02 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s + 61. Let r be t(-10). Let q = -42 + r. List the prime factors of q.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 320*v**3 - 76*v**3 + 125*v**3 + 5 - 4 + 589*v**3 as u + y*v**2 + l*v + m*v**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:02 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9493009 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2452 or 2451?\nAnswer: 2452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/209)\/((-9)\/198).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - 193*n - 13*n**2 + 198*n to f*n + j + p*n**2 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.7 + -8.05. Let y = -0.25 + s. Let m = -6.4 + y. What is the closest to -16 in -4, m, 3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 109058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005907269547 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 6*x + 6. Let o be t(-1). Let h(a) = -4*a - 31 + 33 + o*a. Suppose 4*y + 2 = 4*i + 22, 4*y - 5 = -i. What is h(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36.2 + 39.2. Which is the biggest value? (a) 2 (b) t (c) -1\/12 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197867\/23624 + -2\/2953. Calculate the common denominator of 61\/4 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22184, -22225, -22284, -22355, -22432?\n\"Answer: j**3 - 15*j**2 - 3*j - 22167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 61.88, 4, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 22*m**3 + 19*m - 24*m**3 to the form f*m**2 + j + w*m + s*m**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 6*l + 3. Let c be u(5). Solve 12 = -5*x - c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1291, -2469, -3533, -4483, -5319, -6041, -6649?\nAnswer: -7143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 24*i**2 - 23*i + 13. What is the tens digit of k(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 2*r. Let j(k) = 105*k**2 + 4*k + 31. Let u(m) = 6*f(m) + j(m). Is 89 a factor of u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/5 and (11\/55)\/(7\/((-3605)\/(-38))).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from uaj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/1650*-5)\/(1\/(-5))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12523 divided by 24.\nAnswer: -12523\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/(-11840))\/(86\/215).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/6)\/((-5185)\/6222)*(-260)\/6?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41\/7 - 24\/4\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 3847525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Suppose -k - y*k = -32. Let m = k - 5. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(252) - (-1 + sqrt(252))) + -4)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, w: 3, r: 13}. What is prob of picking 2 r and 2 l?\nAnswer: 156\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*h + 2*x - 6, -12 = -4*h - 4*x. Suppose -y = -h*y + 4. Let g = y + -2. Solve g*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-42))\/((-15)\/(-135))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3288326.33 rounded to the nearest 1000?\nAnswer: -3288000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -123*o**5 - 95*o**5 + 93*o**5 + (-2*o + 3 - 3)*(2*o**4 + 0*o**4 - 4*o**4).\nAnswer: -121*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/42 + 2255\/198)\/(20\/12)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2. Let l(n) = n**2 + n. Let z(i) = 20*i**2 + 30*i. Let s(t) = -30*l(t) + z(t). What is o(s(f))?\nAnswer: 200*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -6*p + 2*a - a + 1, -351*a - 34 = -353*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 divided by 38327?\nAnswer: -177\/38327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16.0480239 from -3.\nAnswer: 13.0480239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g - 14*g - 52. Is (2 + 51)*(g - -9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 34. Let o be (i\/6)\/((-2)\/(-6)). Suppose 8*r = 4*r - 8. Put o, r, -4 in decreasing order.\nAnswer: r, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, -10, 2\/15, 5, -1.37?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1287045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 6, 4, -3, -2884?\nAnswer: -2884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - 0.65. Let r = i + 1. Which is the third biggest value? (a) 1\/6 (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from hycww?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1918\/1495 - 6\/115. Is 2 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 10. Suppose q = -2*l + 5*k + 7600010, -13447857 + 2047863 = -3*l - 3*k. What is l rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1267.1 to the nearest 10.\nAnswer: -1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6413, 0, 3, -19, 2\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.051 + -3.949. What is the second biggest value in v, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2 - 489*n - 408. What is g(-97)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(242)*2 - sqrt(242))*-1)**2*-2.\nAnswer: -4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 20 = 0, -4*i - 16 = -2*m - 2*i. What is the fourth smallest value in 4, 0.4, m, 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -43464.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide (-826)\/(-6) + 6\/(-54)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -9. Suppose -i*c - 13 = -5*b, 0 = -4*c - 4*b - 5 + 37. Let n = 3 + c. Solve 6 + 21 = 5*y - m, 3*m = -n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100 - 100 + 18*l**2)*(152 + 3336 - 713 + 1589 - 870 + 1964).\nAnswer: 98244*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7165 - -13267. What are the prime factors of d?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + (sqrt(1300) + -2 + sqrt(1300))**2*-3.\nAnswer: -15612 + 250*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwwuuuu. Give prob of picking 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19062 divided by 89?\nAnswer: -19062\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17a963 (base 12) to base 7\nAnswer: 3336006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-1 + 3 - 4). Let m(o) = o**3 - 3*o**2 - 2. Let p be m(t). Put -1, 0, p in ascending order.\nAnswer: p, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20\/129 - 1267\/129. What is the common denominator of r and 4\/18 + 2289\/270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 11. Give i(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-8) + -4 + (-14)\/(-4). Solve x = 3*a - 4*a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/19629 and -41\/276651.\nAnswer: 603375831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 37.770678\nAnswer: 15.1082712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4451*n. Let f(p) = 1027*p**2 - 4*p - 2. Determine t(f(w)).\nAnswer: -4571177*w**2 + 17804*w + 8902","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12666 by 15.\nAnswer: -4222\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/5)\/(15*15\/1125). Factor 18\/23*l + 0 + 2\/23*l**g.\nAnswer: 2*l*(l + 9)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w - 8 = 0, 40 = 4*i - 4*w. Suppose -5*v + 4 = -6. Suppose 16 = v*k + 4*n, 5*k - 4*n = k - 4. What is the highest common factor of k and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h - 855419 = 182041. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 10*y + 10. Let j be w(9). Let b be 0\/6 - (-4 - j). Find the third derivative of -n**5 - 3*n**2 + 0*n**b + 0*n**5 wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 7*s - 39. Let a be p(-11). Let w be (-1 + a\/2)*(-72)\/(-54). Suppose -x - 1 = -w. Solve 2*j - 4*l = 6, -j + 1 = -3*l - x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5237285?\nAnswer: 5, 733, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 - -7?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10795 and 765?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90777 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 4*k + z + 30, 0 = 4*z - 20. Let s = -16 - k. Let u(x) = 7*x - 8*x + 3 - 1. Determine u(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 9 = 213. Suppose -3*n - z = -297. What are the prime factors of n?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*s**2 - 3*s**3 - s**3 + s**3 - 226*s**2.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 125, 197, 275, 359, 449, 545?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((2 - -1) + -8)*-17. Suppose b - 8 - 7 = g, 5*b = -5*g + u. Solve -5*a = -2*i + 12, -a - 2*a - i = b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 12:52 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*q - 7. Let v be 3\/2*(-8)\/78. Which is the closest to -2\/5? (a) q (b) v (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14876, 59226, 133128, 236582, 369588, 532146?\nAnswer: 724256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -69. What is the remainder when 105 is divided by b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626627 is divided by 2118.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)\/r)**18\/(((r\/(r*r\/r**(-1\/3)))\/r)\/r*r)**(-29) assuming r is positive.\nAnswer: r**(-221\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (27*(-2)\/(-90))\/((-918)\/(-7395))\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 9684 = 1716. What is the common denominator of 59\/20 and (-748)\/b - ((-65)\/(-15) + -5)?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 882055*d**3*u**2 + 64055*d**3 + 5*u wrt u?\nAnswer: 1764110*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6331745 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -848, -1625, -2922, -4739?\nAnswer: -7076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 33 + -11 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f + 15*f + 1 - 3*f + f**2. Determine s(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704 is divided by 361.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 3*w - 5*i + 45, 41 = -4*w - i. Let z be w*1*(-4)\/8. Suppose -r + c + 13 = 0, r + 5 = -z*c - 0*c. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1100763 = 61*r. Suppose 857 = -20*s + r. List the prime factors of s.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 greater than 721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 4*c + c + (1 - 6 + 3)*(-1 + 2*c + 1) + c + 0*c - 3*c + 95*c - 194*c + 97*c + 16)*(21*c**2 - 24*c**2 + 35*c**2).\nAnswer: -192*c**3 + 512*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 1) + -11 + 3 + 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29815, -29846, -29877, -29908, -29939?\n\"Answer: -31*r - 29784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 461.0207 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*z = -18, 5*z + 22 = -2*r + 3*r. Factor 31*t**4 + 38*t**3 + 19*t**4 + 3*t**2 + r*t**3 + 5*t**2.\nAnswer: 2*t**2*(5*t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129480 and 21098600?\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8011392996\/5779 - -1386294. What is the common denominator of 5 and f?\nAnswer: 5779","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) - (-1)\/(-1). Let m = 0.63 - 0.43. Let a = 367\/8 + -46. Put a, m, s in ascending order.\nAnswer: s, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**4 - p**4 + 0*p**4)*(-1 + 2 + 0) - 6*p - 7*p**3 + 6*p - 2*p**4 + (-3 + 1 + 4)*(-p**4 + 0 + 0) - p**4 + p**4 - p**4 + 9*p**4 + 36 - 36.\nAnswer: 3*p**4 - 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - 8) + 1*-1. Let g be 14*1*(-1 - -2). Let b be (6\/x)\/(21\/g). Let s(o) = o**2 + 4*o. Give s(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 196?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/14 + (-13)\/26. Does -4\/51 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 453598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.93 rounded to 0 decimal places?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**2 - 237972*o - 6660080 = 0. What is o?\nAnswer: -59465, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 106, 205, 360, 589, 910, 1341?\nAnswer: 1900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Let w = 413 + -422. Let m be (w\/(-8))\/(12\/40)*4. Solve -2*c + p*h + 5 = -c, 3*h + m = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 31*d = 34*d + 21, -b - 5*d - 27 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:32 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**4 - 2*i**4 + 0*i**4 + (-10*i**3 - 6*i**4 + 10*i**3)*(3 + 0 + 0).\nAnswer: -17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 15. Let r(s) = s - 14. Let o(j) = 4*l(j) + 3*r(j). Suppose 0 = 2*d + 8, 2*d = -5*z + 14 + 18. Let b be o(z). Solve 9*a + b = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 3, 3\/1720?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -37. Find the third derivative of -2*v**2 - 13*v**q + 13*v**4 + 4*v**6 + 0*v**2 wrt v.\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w + 675*w**2 - 2 + 0*w - 720*w**2.\nAnswer: -45*w**2 - 13*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 280 + -182. Suppose -660 = 69*z - 81*z. Let w = c - z. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -162173, -162157, -162131, -162089, -162025, -161933, -161807, -161641?\n\"Answer: u**3 - u**2 + 12*u - 162185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/7 (b) 0.04 (c) 0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 15*r**2 + 2*r - 1. Let l = -11 + 16. Suppose -6*p = -p - l. Calculate g(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22075074 divided by 55326\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -972*a + 29. Let d(i) = -973*i + 38. Give 3*d(o) - 4*p(o).\nAnswer: 969*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 11*c**2 - 9*c + 13. Let r be q(-10). Suppose 3*d + 4 = -w, -5*w + 4*w - 14 = -2*d. What is the units digit of (r - (7 + -3))*w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (31 - 43) - -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1477 - -6.\nAnswer: -1471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 133? (a) -4 (b) 1\/2 (c) 304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 24, 194 in increasing order.\nAnswer: -4, 24, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6131 + -1174. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 4:31 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 745174046 to the power of 1\/2, to the nearest integer?\nAnswer: 27298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 - 15*j**2 + 8*j - 9. Determine v(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -51*o**2 + 4*o. Let h(g) = -3*g + 1117. What is h(b(a))?\nAnswer: 153*a**2 - 12*a + 1117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2886 and 270442731.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222\/140 + (-2)\/8 + (-837)\/540?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1466*o**2 + 2 - 1493*o**2 + 934*o**2)*((-2*o + 5*o - 4*o)*(0*o + o + 0*o) + 3*o**2 - 7*o**2 + 2*o**2).\nAnswer: -2721*o**4 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*h - 11*h**3 + 11*h**2 - 14*h - 12*h**3 - h**4 wrt h.\nAnswer: -24*h - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 275 = 5*n + 4*h, -h = -5. Suppose 0 = -3*y + y + n. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-4))\/(190\/456).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.51289 centuries in millennia?\nAnswer: 9.651289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by -1*(-85 - -5)\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35667 + 1?\nAnswer: 35668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 - (-22)\/(-60). Let w = -85 + 175. Let q = w + -90.1. What is the biggest value in 0, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26734344 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3368 = -2*m, 2281 = 2*m + 4*y - 1087. Let r = -8451\/5 + m. What is the common denominator of 97\/42 and r?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 892431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6123.37 rounded to the nearest 100?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 6, 17, -3, -12, 2 in descending order.\nAnswer: 17, 6, 4, 2, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -85\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19128132 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 2*6\/9. Let i = 0.73 - 0.7. Sort 0.1, i, q.\nAnswer: q, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -16, 2*b - 3*n = -0*n + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*l**3 + 10*l**3 - 218*l**3 - l**3 + 5*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21870 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 926576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1182 = 3*r, 3*y = -r - 3*r + 1185. Let g = 1234 + -1230. Suppose d - 849 = -3*v, g*v - 2085 + y = -2*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4, 2*b - 362786 = -2*q - 2*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*z + 6, 4*b - 2*b - 4 = -2*z. Suppose 0*l - b*h - 16 = -4*l, -2 = -3*l - h. Factor -4*m - 9*m**2 + 9*m**2 - 2*m**3 + 6*m**l.\nAnswer: -2*m*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.01 * -1.2986.\nAnswer: 12.998986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -39, -76, -129, -204, -307, -444, -621?\n\"Answer: -c**3 + c**2 - 23*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 319.4 + -311. Round f to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14255 + 1?\nAnswer: -14254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*-8*14\/168?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 4)*(27 - 21 + 28)*(3 - 4 - 1)*(2 - 2 - 1)*(1 - 1 + a) as v + s*a and give s.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*r + 196*r = 14136. What is the least common multiple of 9 and r?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 582*r - 12023. Determine q(21).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.172 + 4.147. Let k = 4 - w. Let x = 0.14 - k. Round x to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**3 + w**2 - 15402*w + 576 wrt w?\nAnswer: -3*w**2 + 2*w - 15402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -2.158, 3, 3\/19, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 478 and 296599.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**5 + 4*a**5 + a**5)*(-3 + 0 + 1) + 9*a**5 - 3*a**5 - 3*a**5 + (a**3 + 3*a**3 - 2*a**3)*(23*a**2 - 49*a**2 + 24*a**2) - a**5 + a**3 - a**3.\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 5 - 4*c - 11 + 5 to t + o*c and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 3*f + 15*f + (3 - 3 + 1)*(-2*f + f + 0*f) - 3 - f + 3)*(0*f + 0*f + f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34 - -7?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -206.03 - -207. Round q to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 5, 82 in decreasing order.\nAnswer: 82, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o - 79 + 385. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 6 - 9*j - 2 + 3*j. Let s = -2 + 7. Suppose s*r + 20 = 0, -4*p - r - 4*r = 0. Calculate f(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6940*l = 6935*l - 2*q + 11, 2*l - 12 = 3*q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i - 51*i = 14, -4*w + 5*i + 507 = 0. What is the remainder when 494 is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 d, and 1 r when three letters picked without replacement from lddlllddllrldzddd?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-502)\/(-251)*4*12\/(-576)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**6\/40 + 5*t**5\/4 - 123*t**4\/8 + 171*t**3\/2 - 2179*t**2. Determine g, given that c(g) = 0.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -2\/3, 1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*v - 343 + 31 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**3 - 5*h**2 + h + 4. Let o be f(-3). Let x = 161 - o. List the prime factors of x.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 6*i + 2*i)*(0*i - 3*i + i) + (-3 + 3 - i)*(-7 + 7 + 2*i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -46. Suppose 2*h + 7 = w, 35 = 2*w + f*w + h. Let l(a) = w*a**2 - 21 + 21 + 7*a**2. Let i(r) = -2*r**2. Calculate i(l(u)).\nAnswer: -392*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/175282 and -35\/6.\nAnswer: 525846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 - 187*x - 4238. Let k be t(-54). Let c(h) = -h**2 + 30*h - 59. Determine c(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, u: 5, g: 3, j: 2}. Give prob of picking 1 g and 1 u.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 1. Let p(c) = -1. Let y = 2 - 4. Let q(j) = y*p(j) - 2*b(j). Let t(h) = -6*h. Let z(u) = -5*u. Let n(x) = -6*t(x) + 7*z(x). Give n(q(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -154134d?\nAnswer: -1541353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - 251*c. Let v(t) be the third derivative of -t**5\/15 + 1210*t**2. Calculate r(v(i)).\nAnswer: -32*i**4 + 1004*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.212, -6, -2, -4, 0.18 in increasing order.\nAnswer: -6, -4, -2, -0.212, 0.18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 0 - 33846\/3. Let o = 29014171\/170 + -2709822\/17. Let q = c + o. What is the common denominator of q and 77\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -3*d**2 + 7\/108*d**4 - 7\/540*d**6 + 0*d + 1\/135*d**5 - 2\/27*d**3 + 0. Suppose n(u) = 0. What is u?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5637, 10969, 16301?\nAnswer: 21633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 1. Let l be (1 + s)*((-2 - 1) + -3). Suppose 260 = 2*c + l. Calculate the remainder when c is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -3\/16, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**2 + 5*n**2 - 5*n**2)*(7*n**2 + 2*n**2 - 5*n**2) - 2*n**4 + 3*n - 3*n in the form a*n**4 + l*n**2 + x*n + j*n**3 + d and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2. Let v(o) = -o**2 + 4*o**2 + 0*o**2. Give v(h(k)).\nAnswer: 108*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.37 - -0.03. Let m = -1.1 - -0.1. Let u be (4\/10)\/(8\/5 - 1). Which is the nearest to m? (a) u (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 30 - 26)*(-2*j**4 - 3*j**4 + 3*j**4).\nAnswer: 128*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/10 and (14926\/14912 - 1)*(316 + -288).\nAnswer: 9320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.586 less than 38?\nAnswer: 88.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.063 + 0.937. Which is the nearest to -1? (a) m (b) 3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 51655627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 1211323011?\nAnswer: 1211323003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10*w = 15. Suppose -w*q - q = -52. Let v = q + -7. Calculate the remainder when 16 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/30 + (-2)\/(-6)*1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-27)*f**27 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 18*j + 16. Let v(n) = -19*n - 16. Let t(d) = 2*v(d) + 3*z(d). Let o(y) = 3*y + 3. Let k(s) = -956*s + 967. Let x be k(1). Give x*o(a) - 2*t(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 227752 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3233 (base 4) to base 14.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**2 + 4*a + 4. Let j = 20 + -8. Let x = 13 - j. Let b(i) = i**2 + i + 1. What is x*p(l) - 4*b(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/3 and -25\/1708967.\nAnswer: 5126901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((84\/(-5))\/(-12))\/(2\/(-10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100 (base 2) in base 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67544 and 60?\nAnswer: 1013160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*j - j**3 + 491 + 18*j**2 + 45 - 18*j**2 - 145*j as r*j**2 + y*j**3 + q*j + u and give u.\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 + 290 = -5*p. Solve 125 - 128 = p*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 40*r**2 + 130*r - 14. Is p(-6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -309*r - 761. Let s be w(-9). What is the highest common factor of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 - -42. Let b = -44041.9996 + 44085. Let d = u + b. What is d rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28223 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -498067483 + -13063?\nAnswer: -498080546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.4 (c) -5 (d) -5\/7 (e) -560.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z - 3*j + 88 = 0, 5*z - 211 = -3*j. Calculate the remainder when 285 is divided by z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 432 divided by -4\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -46552104 divided by 10182\nAnswer: -4572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07779? (a) -0.1 (b) -11 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1122\/30 - 4) + (-6)\/15. Solve z + 5 = -l - 4*l, -5*z = -4*l - t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 7*y = 2*p + y - 10, -20*p = 4*y - 137 + 37 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**2\/9 - 1808*u\/9 - 501296\/9 = 0.\nAnswer: -194, 646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 5*k**4\/24 + 5*k**3\/9 - 25*k**2\/12 - 5*k - 122. Find t such that o(t) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.0179?\nAnswer: 0.00537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 13, 0, 1, 8, -14 in ascending order.\nAnswer: -14, 0, 1, 8, 13, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -290, -594, -898, -1202, -1506, -1810?\n\"Answer: -304*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50360.881 rounded to the nearest 10?\nAnswer: 50360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-2*(-2)\/(-3)*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brrrrbr. Give prob of sequence brr.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164460 (base 15) to base 8.\nAnswer: 4070557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = h + 31, 9*s - 5*s = -h + 32. Suppose -3*q + 5*o = 3 - 18, q = 3*o + s. Solve q = b - 5*z + 7, 3*b + 3*z = 16 - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3\/m)\/(m**(4\/3)\/m)*(m\/m**(-2\/5))**(1\/31))**(1\/4) assuming m is positive.\nAnswer: m**(199\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2022 - -2024. What is the closest to 1 in z, 7, -1, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -40*y**2 - 237*y + 23. Let w be o(-6). Solve 2*a + 22 = -w*n, 0 = -n + 4*a + a + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 12 - 40. Calculate the least common multiple of 14 and f.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 576 - 362. Let d = r - 188.4. What is d rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -19*m + 893. What is g(44)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/12 + 2 + 3\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = 22*w - 756. Solve -6 - 8*r**3 + 8*r - 4*r**4 - 11 + w = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -414270870 divided by 13809029?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l - 4*l)*(3874 + 266*l**2 - 3874).\nAnswer: -532*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-100)\/(-3))\/(14 + (-554704)\/39627). What is the greatest common factor of y and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d + 4*d + 2*d. Let p(f) = 0*f + 0*f + 4*f**2 - 3*f - 3 + 0*f. Let s(u) = 7*u**2 - 5*u - 5. Let a(m) = 5*p(m) - 3*s(m). Determine a(y(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 24054\/7657) + (1274\/(-1014) - 8\/(-6)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 69109.92ms?\nAnswer: 69109920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/14)\/(720\/(-2520))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14302, -28611, -42920, -57229, -71538?\nAnswer: -85847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-27))\/(2\/6). Sort -0.2, v, 2 in descending order.\nAnswer: 2, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**3\/3 - 5*p**2\/2 + 31*p. Let r(g) = 2*g + 6. Calculate -6*r(u) - 7*t(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 18. What is the units digit of p(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 9*z + 2. Determine o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 290a?\nAnswer: -2916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4.25, -42, -78\/19?\nAnswer: -78\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4 = -4*i - 4*u, 2*u = i - 4. Solve 4*y = 7*y - i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7234882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1847815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l**2 - 2*l. Let m be z(-2). Let r be (-8)\/m + (-10)\/14. Let p be (-1710)\/912 + 2\/4. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + c**2 + 2*c**2 - 4*c**2 + 5*c**2 - 2*c**2 + (-2*c**2 + 2*c**2 - c**2)*(0 + 4 - 2) + 22*c - c**2 + 7*c - 11*c to z*c**2 + f + x*c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6282 and -7.43894?\nAnswer: 6274.56106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443710 (base 8) to base 10.\nAnswer: 149448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 47*o - 723. Let y(s) = 336*s - 2. Give q(y(h)).\nAnswer: 15792*h - 817","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-52)*(-48)\/(-150).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 0*p**6 - 2\/7*p**7 + 17\/3*p**3 + 0*p**2 + 0*p**4 + 189 + 3*p**5 + 2*p. What is the third derivative of n(a) wrt a?\nAnswer: -240*a**3 + 360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 61, -0.4, 29, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -240202, -480330, -720450, -960562?\n\"Answer: 4*m**2 - 240140*m - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**3 + 3*f**2 - 6*f + 10. Let n be k(3). Let m = 11 + n. List the prime factors of m.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2) + 3 - (1 + sqrt(7))**2*4.\nAnswer: -29 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -9 - -5) + 2\/1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*h**3*o + 4024*g*h*o**2 - 16*g*h - g*o**2 - h**3 + 1676 wrt o.\nAnswer: 2*g*h**3 + 8048*g*h*o - 2*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6*s + 144 = 0. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2713700 and 16.\nAnswer: 10854800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.06, 0.3, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 36 + 0 - 12*u)*(-u - 3*u + 3*u) to m + d*u**2 + s*u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 151505 to the power of 1\/2, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 70 + 14)*(5*m - 5*m - 3 + m) to the form j + r*m and give r.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99.424 - 103.1. Round t to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 3. Find z such that 5*z**5 + 10*z**b - 3*z**2 - 3*z**3 - z**3 - z**3 - 7*z**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 2*j + 4 = 0, h + j = -1 + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 686186090 divided by -9272785.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -2\/7 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -33*(-38)\/209*7\/1. Solve 0 = -13*y + 16 - c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/72)\/(161\/368)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 2\/21, -52\/19 in descending order.\nAnswer: 5, 2\/21, -1, -52\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/4*6\/(-45)*9. Suppose -5*r + 4*k + 422 = 0, 3*r = -r + o*k + 337. Let z = 83 - r. Let u(m) = 22*m**2 - m. What is u(z)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**4\/9 + 33818*n**3\/9 - 372820*n**2\/3 - 4879592*n\/9 - 5014832\/9 = 0?\nAnswer: -16942, -2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10531002 divided by -87\nAnswer: 121046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5598890\/323 - -17334. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3) + sqrt(3) + 1)*-2 + 3.\nAnswer: -4*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 divided by 1?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 28 = -117. Is 21 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -5 (b) -35 (c) 4\/3 (d) -636 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -3*v + 10. What is the greatest common factor of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k = m - 44, 0 = 2*m + k - 53. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7638113 and -374?\nAnswer: 7638487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 g when four letters picked without replacement from {g: 8, r: 5}?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35750 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 939, -2.7, 2\/33, 0?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8457 and 1.99.\nAnswer: 16829.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (19 + -17)) + -30 + -17\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**2\/2 + 89*y + 7921\/2 = 0.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/95589225 and -151\/180?\nAnswer: 382356900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 - -93. Let f(j) = -j + 6. Let i be f(4). Let w(n) = 5*n**2 - n**2 - 3*n + 3 - n**i. Give w(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 595\/34)*(-6)\/(1 + -4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, a: 6, i: 5, v: 2, t: 3}. Give prob of picking 2 v and 2 a.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 2271543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11255149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 9 + 510)*(-9*s + 9*s - 5*s**3) to q*s**3 + b*s**2 + c*s + w and give q.\nAnswer: -2655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**7\/23940 - p**6\/6840 - p**5\/570 + 7*p**4\/12 + 24*p**2. Let f(y) be the second derivative of w(y). Factor f(j).\nAnswer: 2*(j - 2)*(j + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/348890 and -58\/925?\nAnswer: 64544650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**2 + 6*d - 21. Is 6 a factor of l(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13722760*i**2*z**3 - 8238680*i*z**3 wrt i.\nAnswer: 27445520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkzkkzzzkzkzzkkkzz. What is prob of picking 1 k and 1 z?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -n - 2*n. Suppose n*i - 9 = 6. Let x(c) = -3*c + 7. Calculate x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 12*f**2 - 50*f + 714. Let o = 15 - -33. Let v = 70 - o. What is the remainder when h(11) is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgdddgvgdvvgdddvddv. What is prob of picking 2 g?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -109938915 = -769572404\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-146)\/10)\/(628\/942*9\/30)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 - 62. Suppose -l*u = 5*n - 1029, -2*n - 3*u + 153 + 253 = 0. What are the prime factors of n?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18114437 is divided by 6481.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.8 - -0.8. Let d = 4 + f. Let q = 1 + 1. What is the nearest to 1\/2 in q, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253287420?\nAnswer: 2, 3, 5, 17, 239, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllhlllllllllldl. Give prob of sequence hldl.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - -442143?\nAnswer: 442130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.6. Let n = -3.6 - 1.32. Let j = -1.92 - n. What is the nearest to 1\/4 in 2, u, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6493416 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3 + 2*l**2 - 2*l + 0 - 3 + 4. Let z be x(3). Solve t - 6*t = -z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100783\/16 - 6296. What is the common denominator of t and 83\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*i - 134*i + 66 = 0. Put -22, 3, i, -5 in ascending order.\nAnswer: -22, -5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from pccxpplppcclpllppl.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 831\/2 - 1247\/3. Let x = 0.03 - 0.23. Let k = x - -0.12. What is the nearest to 1\/2 in k, -4, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-779)\/77900)\/((-5)\/(-50))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + w = 11, -4*d - 9*w + 14*w = -61. Suppose -5*b**2 + 7\/3*b - 1\/3*b**d + 0 + 3*b**3 = 0. Calculate b.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gesggwjcjsge. Give prob of sequence ec.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*x**2 + 3*x**6 + 8*x**2 + 0*x**2 + 18*x**6 wrt x?\nAnswer: 2520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/30 - -3 - -3)*45\/(-42)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x = -2*t + 34, 4 = 2*x. Suppose 3*m + 4 = -2*h - 17, 2*m = h - 7. Let o = m + 14. Calculate the least common multiple of o and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 - 2*b**5 - 2*b**5 + 2*b**5 - 3*b**4 + 3*b**4 + (b + b**4 - b)*(-4*b - 3*b + 5*b) - 5*b**5 + 6*b**5 + 12*b**5.\nAnswer: 8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/10570 and 25\/4228.\nAnswer: 21140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*3\/15)\/((-117)\/(-195))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16973536 is divided by 167.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.11? (a) 5 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36511634?\nAnswer: 2, 18255817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 341020 - -114?\nAnswer: 341134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-561)\/198 + (0 - -4).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**5\/20 + q**4\/24 + q**3\/3 + 2*q**2 - 87*q. Give l(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 12. Let c = -5717\/15 - -2213\/6. What is the common denominator of c and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 124, 284, 508?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83.105 - 85. Let s = m + 5.99. Let j = s + 0.005. Round j to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 6*h + 6*h)*(23 - 13 + 34)*(1 + 0 - 3*h - 3) + 2*h - h**3 - 2*h.\nAnswer: -529*h**3 - 352*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 - -136. Is w < 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 547405\/63 + -8689. Is -369 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156957 + 111572. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6600 and 39072.\nAnswer: 976800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*o - 2*o + b, -4*b + 16 = 0. Let v be (10 - 16)*2\/(-30). Which is bigger: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1582, -1582, -1580, -1576?\nAnswer: -1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*b - 3, 0 = 4*z + 4*b - 32. Suppose z*u - 334 - 251 = 0. What is the highest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 684311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1699914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9 take away -4889120855063?\nAnswer: 4889120855056.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/19, 2, 1\/9, 0.5, -2\/3, -2\/5869?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182813708?\nAnswer: 2, 7, 11, 84793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 4. Let v(w) be the first derivative of -3*w**2 + 21*w - 508. Determine 11*s(k) - 2*v(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82.6292 + 10.2206. Let c = 0.2002 + k. Let m = -93 + c. What is the fourth biggest value in m, -3, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3412024 is divided by 17864.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -39492.\nAnswer: -78984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 536296851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 50 - (4 + 4 + (7 - 3) + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56904188.\nAnswer: 2, 11, 1293277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 1. Let y be z(-2). Put 2, 3, y in ascending order.\nAnswer: 2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = -68*i + 26*i + 30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l - 306050 = -68*l. What are the prime factors of l?\nAnswer: 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 7:30 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (169 + -202 - (-2 - -1))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -65, -4, -5 in increasing order.\nAnswer: -65, -5, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.029*-1.9189.\nAnswer: -0.0556481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000447883 to 7 decimal places.\nAnswer: -0.0000448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 45*q**2 - 95*q + 44. Calculate y(47).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 14. Let k(p) = p + 4. Let a be k(-7). Let f be 3\/(-18) - a\/(-6). What is the biggest value in -2\/5, f, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*m + 29 = 0, 37823*v - 37826*v = -3*m + 72 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-96) - (-140)\/544?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -122*i**2 - 1217*i + 32. Let a be s(-10). Solve a*x - 4 = 0, -4*x + 1 + 15 = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2 + 90021*s + 540018 = 0. What is s?\nAnswer: -30001, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 222 = 1195. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*o - 4. Let l be 3 - (0 + -1) - 0. Sort o, -2, -5, l.\nAnswer: -5, -2, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(6\/7)*n)\/n**(-2\/11)*(n\/(n*n**(-3\/2))*n)\/n**(-1) assuming n is positive.\nAnswer: n**(1007\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 469.\nAnswer: -93.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17\/23917 + 3270509\/8610120. What is the common denominator of -139\/120 and y?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 43 = 4*h, -4*h + 6*h + 2*y = 20. Suppose -h*x = -17*x + 70. Calculate the remainder when 116 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -4, 5, 0, -3, -56?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 32 + 422*j**2 + 15806*j**2.\nAnswer: 16228*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -107*y + 56. Let a be v(-6). Suppose 5*u - a = 7. Let l = -125 - -173. What is the remainder when u is divided by l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79220 is divided by 64.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, 0.01, 0.3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*a + 60. List the prime factors of -3 + -3 + (1 - a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (39\/(-12) + 4)\/(9\/60). Which is the closest to -1? (a) -8 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12540 and 1471740.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(-3)*x*x)**(-30))**(-29))**(-26\/9))**(-9\/7) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117)*2)*-4 - sqrt(117) - (sqrt(117) + (sqrt(117) + -1 + sqrt(117) - sqrt(117)) + -3))**2 - -6*(sqrt(117) + 2)*1.\nAnswer: -342*sqrt(13) + 26353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 1. Let b(d) = -5*d - 5. Let r(p) = 23 + 14*p**2 - p**3 + 12*p**2 + 11*p - 11*p**2 + 3*p. Let x be r(16). Let s(k) = x*g(k) + 2*b(k). Give s(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**5\/20 - o**4\/4 + 4*o**3 + 12*o**2 + o. Determine j so that s(j) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - 7*b)*(-34*b**3 - 33*b**3 - 26*b**4 + 68*b**3).\nAnswer: 104*b**5 - 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012807 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*r - 13694, -3*r = -t - 5017 + 1596. Let l = t - -5218. What are the prime factors of 1\/5 - l\/(-30)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + (-104)\/(-12))*(-16 + 1). Let c be (-475)\/l - (1 + 2). Are c and 0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/345 and 25\/276.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5*10\/(-3))*158\/97328*440?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28862366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 19 - 7, -2*g + o = -3. Let s = g + 3. Solve 5*t - 11 = -s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*w + (0 - 2*w + 0)*(-3 - 2 + 4))*(w - 2 + 2).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**3\/9 - 26*u**2\/3 + 176*u\/3 + 4840\/9 = 0.\nAnswer: -5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12213511*f**3*i - 2*f**3 - 7408*f**2 - 18 wrt i.\nAnswer: 12213511*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 34, -141, 4 in descending order.\nAnswer: 34, 7, 4, 0, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 920*w + 55. What are the prime factors of b(7)?\nAnswer: 3, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -608 + 617. Which is the closest to 2\/9? (a) -2\/11 (b) -0.3 (c) 1\/6 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(2057)*-1 - sqrt(2057) - (-2 + sqrt(2057) + 1).\nAnswer: -66*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -2 (b) 0.4 (c) -0.4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140225, 560786, 1261725, 2243048, 3504761, 5046870, 6869381?\nAnswer: 8972300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-172)\/(-3))\/((-2)\/6). What is the common denominator of 47\/16 and (-1)\/2 - 1\/(112\/f)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*u + 11748 = 286*u + 131*u + 228*u for u.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.04 and 28515?\nAnswer: 28514.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1236 - 3707\/3. What is the closest to -1\/3 in g, -21, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 35*t + 488. Calculate the remainder when w(-9) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/6)*d**(-2)*(d*d**(-4\/7)*d)\/d**10 assuming d is positive.\nAnswer: d**(-437\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 12:10 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -14. Let s = 17 + i. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -20, -0.51, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2602 from -0.3.\nAnswer: 2601.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 354\/463?\nAnswer: 354\/463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 11) to base 14\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 6:34 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.45526 micrograms in grams?\nAnswer: 0.00003245526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-3 + -3))\/((-2)\/20). Suppose -g*p = 5*s - 15, p + 12 = 5*p + s. Solve -p*h = -5*h + b - 6, -4*h - 3*b - 32 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((4\/10)\/1)\/((-2)\/(-20)). Factor 12*b**5 + 18*b**o + 3\/4*b + 3\/4*b**3 - 9\/2*b**2 + 0.\nAnswer: 3*b*(b + 1)**2*(4*b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 186 from 0.206224.\nAnswer: -185.793776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 - 3*n**3 + 2*n**4 - 4*n**4 + 2*n + 43 in the form o*n + z*n**4 + d*n**3 + i + u*n**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 15*x + 75*x - 43*x - 17*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g - 7*g + 28 - g + g.\nAnswer: g + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 802748408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*k - 3*k. Suppose k*a - 32 = -0*a. What is the least common multiple of (-1 - -17)\/2 + -1 and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 376585 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38154658 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 2\/4 + 3\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(896)*-2*-2)\/(-4*(sqrt(14)*-2)\/sqrt(7))*5)**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -1\/5, -2, 0.1, -82?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(132) - sqrt(132))\/sqrt(12) + -3 + ((sqrt(121) + sqrt(121) + sqrt(121) + sqrt(121) + -2*sqrt(121))\/sqrt(11) - -1*sqrt(44))**2.\nAnswer: -3*sqrt(11) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 265?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134.0000068 - 134. Round u to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 3, h: 1}. What is prob of sequence ss?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13\/2 (b) -3\/7 (c) 2\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30644959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)*q\/q**(-7)*q)**(4\/23) assuming q is positive.\nAnswer: q**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 2. Let w be z(0). Let y be ((-28)\/16 - -6) + (-3)\/12. Suppose -a + w*a = y. Solve a*u - 1 = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10377 + -10373. Suppose -4*d = -3*d - 4*v + 16, 1 = -d - v. Put x, 38, d in decreasing order.\nAnswer: 38, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + l**2 - 2. Let c be (-18)\/(-8) - 9\/36. Is d(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7800 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 1386*z**2 + 342610*z + 649. What is x(-322)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**11)**(1\/28))**36 assuming l is positive.\nAnswer: l**(99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/3 - 36758*k\/3 - 49000 = 0 for k.\nAnswer: -18375, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*w - 16, 5*w - w = -4. Calculate the remainder when 33\/(4\/2 + -1) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491343 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: 103326 * -12\nAnswer: -1239912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96073 + 15668.\nAnswer: 111741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1210631423 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 93.42407 decades?\nAnswer: 0.9342407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26755855 is divided by 932?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1213, -0.3, 1 in increasing order.\nAnswer: -0.3, 1, 1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4000854983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026448 to five decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + a - 343 = 0, 5*z - 281 = -a + 5*a. Solve 59*s - z*s + 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 14. Suppose 5*o + 19 + 6 = 0, -4*o = i + 25. Let g be y(i). Let m be (14\/(-28))\/((-2)\/g). Sort m, 0.4, 0 in decreasing order.\nAnswer: m, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.2, 0.41, 2, -14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 444\/65 - 823\/130. What is the closest to -0.1 in 12, -2\/3, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/((sqrt(10) + sqrt(10)*2 + sqrt(10))*-3))**2.\nAnswer: 13\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 14*g**2 - 13*g + 3. Let n = 7 + 14. Suppose 0 = 3*q - n - 18. What is the least common multiple of x(q) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5 - 0, 0 = -i - 3*d - 1. Suppose -3*j + i*q - 14 = 0, 2 - 4 = 3*j + q. What are the prime factors of ((j - 2) + -55)\/(-1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 33131402?\nAnswer: 66262804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 37 + 22*b**2 - 3*b**2 - 37 + 23*b**2. Let k(v) = -20*v. Calculate l(k(n)).\nAnswer: 16800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 31*c - 30.\nAnswer: -(c - 30)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -18. Suppose 3*d - 4 = -k*n + n, -2*n = 2*d - 2. Suppose 0*t + 2*t - l - 14 = d, t - 5 = l. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540\/180*(-44)\/(-154)*14\/(-18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-1))\/((-34)\/4165). Let h be n\/(-60) - (0 + 4). Let g = 0.17 - -0.13. Which is the nearest to -2? (a) g (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {o: 1, u: 2, n: 1, k: 1, t: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 5. Let g be o(-4). What is the remainder when g\/(0 + 1)*2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 2. Let v be n(2). Let t be (12\/3)\/(1 + v). Suppose 4*w - 38 = z, -3*z = -w - 0*z + t. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = w - 339, 4*a + 1374 = 4*w - a. Calculate the highest common factor of w and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1308967919.\nAnswer: 7, 3816233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -16) + 45 + (0 + 0 - 3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -1 - 1. Put 8, -2, d in decreasing order.\nAnswer: 8, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61420005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 2*u**2 + 2*u. Let k be v(3). Let n be (-6)\/9*(0 - k). Let o = 4 - n. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(288)*-1 - sqrt(288))*-6 - sqrt(288))\/(sqrt(294)*1) + -5).\nAnswer: -264*sqrt(3)\/7 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*d - 8 = 2*x - 10*d, 0 = d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251772 (base 10) in base 11?\nAnswer: 785525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 6. Let f be (3570\/(-60))\/(2\/(-4)). Let p(r) be the second derivative of -7*r**3\/2 - 119*r**2\/2 + 7*r. Give f*j(v) - 6*p(v).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfff when four letters picked without replacement from {b: 4, f: 6}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, 2, -23, 1.1, -2\/3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1811025222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.23825 rounded to two dps?\nAnswer: 49.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 10*p - 5. What is o(9)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - n**3 + 2*n**3)*(-823 - 6*n - 123 + 5*n).\nAnswer: n**4 + 946*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1725409 is divided by 9081.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, h: 10}. Give prob of picking 4 h.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 10*v**2 + 11*v + 16. Let w be x(9). Suppose -15 - w = -i. Let t = i + 70. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**6\/360 + 19*v**4\/24 + 19*v**2. Let a(o) be the second derivative of m(o). Let g(z) = z - 23. Calculate a(g(y)).\nAnswer: 2*y - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252 or -238?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-10))\/((-2)\/(-250)). Let x = a + -199\/4. Factor 3\/4*r + 1\/4*r**3 - x - 3\/4*r**2.\nAnswer: (r - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 25*u + 54. Let w be q(22). What is the greatest common factor of 300 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 121.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 205*h**3*n**2 - 230*h**3 - h**2*n + 3*h*n**3 - n - 15 wrt n?\nAnswer: 410*h**3 + 18*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13110113 (base 4) to base 10\nAnswer: -29975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3193*l**4 - 3193*l**4 + 18*l**2 - 3*l**6 wrt l?\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 - 26.11473719518?\nAnswer: -96.11473719518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -2162*c + 2163*c - 3, 0 = -0*x + 2*x - 42*c + 536 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 5*k - 6. Let l be j(-6). Let s = 80 - l. Let d = s - 28. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 841, 829, 811, 787, 757, 721?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 38180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 240744, 481026, 721294, 961542, 1201764, 1441954, 1682106, 1922214?\n\"Answer: -o**3 - o**2 + 240292*o + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 198248176 to the power of 1\/2, to the nearest integer?\nAnswer: 14080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 231*b + 4. Let l(j) = j + 102. What is l(q(g))?\nAnswer: 231*g + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nffn when four letters picked without replacement from ffnnt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 71, 211, 437, 743, 1123, 1571, 2081, 2647?\n\"Answer: -c**3 + 49*c**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 777 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3066955?\nAnswer: 5, 167, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10170 and 316287.\nAnswer: 3162870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3\/3 - 14620*s**2\/3 - 166512*s + 352512 = 0.\nAnswer: -36, 2, 7344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**4\/10 - 3*o**2\/5 + 4*o\/5 + 7. Factor y(l).\nAnswer: 2*(l - 1)**2*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -112 - 20\/3*q**3 + 0*q**2 - 3\/4*q**4 + 46*q. Find the first derivative of w(z) wrt z.\nAnswer: -9*z**2 - 40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -55f?\nAnswer: -55a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:09 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 10*s**2 - 12*s - 10. Suppose 17 = -3*g + 2*k, 4*g - 3*k - k = -16. What is v(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*n - 26. Put -5, -1, n in ascending order.\nAnswer: n, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*i + 2*w, 0 = i + 3*w - 12 - 8. Are 7 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*a - 3*h = -441*a - 15, 0 = 4*a + 5*h - 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -9\/2*v**2 + 0*v**4 + 0*v + 0*v**3 - 13 + 3\/5*v**5. What is the second derivative of z(x) wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (430\/1677*24\/100)\/((-23)\/1035).\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.344 - 21.656. Let d(c) = -c**3 - 4 + 3*c + 0*c**3 + 0*c**3 - 3*c**2. Let n be d(-4). Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3153981?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*a - 9801 = -33*a + 2081 - 2522 for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 552, 1246, 2224, 3492, 5056, 6922, 9096?\nAnswer: 11584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 401, 675, 1437, 2933, 5409, 9111?\n\"Answer: 41*s**3 - 2*s**2 - 7*s + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275605.\nAnswer: 5, 255121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 317\/3, 8, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*h**2 - 2\/11*h**3 - 4\/11*h**4 - 2\/11*h**5 + 0*h = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knn when three letters picked without replacement from {n: 6, k: 7, t: 1}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - n = n + 14, -1 = -n. Suppose 2*d - d = f + 68, 264 = 4*d - 2*f. What is the highest common divisor of d and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(2) + sqrt(2)*4) + (sqrt(119)\/sqrt(7)*-5 - sqrt(17)))**2.\nAnswer: 14297\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4 + 5*p**3 - 13*p**3 - 4*p**2 - p**4 = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 1667*x**3 - 3200*x**3 - 4 + 1516*x**3 to the form p*x + v*x**2 + g*x**3 + y and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytrretrtkeuu. What is prob of picking 1 u and 1 e?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afaffff. Give prob of sequence afff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 6*s + u + 1071997, 2*u - 4288006 = 4*s. What is s rounded to the nearest 10000?\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 1349160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26794 and 528.9?\nAnswer: 26265.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*x + 5*m - 6, 5*x = -m + 5. Suppose 30 = 3*g + x*g. Solve g = -r + 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by (-32 + -4 + 24)*(-18)\/8.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 741 + -766.1. Let n = d + 12.1. What is the fourth biggest value in 4, 0.3, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 625 and 3515?\nAnswer: 439375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6751 = -5*y + 9*y, -2*y = 8. Suppose -3*q + 4*a - a + b = 0, -a = 3*q - 1359. List the prime factors of q.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758195749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 0*b**3 + 0*b**7 + 0 + 0*b**6 + 0*b + 0*b**4 - 3\/112*b**8 + 11\/20*b**5 + 39*b**2. Find the third derivative of m(y) wrt y.\nAnswer: -540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2690 divided by -269.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 131, 111, 77, 29, -33?\n\"Answer: -7*m**2 + m + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/122 and 55\/26.\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1878000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1080*-143481.\nAnswer: -154959480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 522 = -311. Calculate the lowest common multiple of w and 136.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -12, -25.\nAnswer: -25, -12, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*u - 87. Let m = 212 - u. Suppose 5*k - m = -39. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 19) + 20 + -20.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 a when three letters picked without replacement from aqaaqsqqsccqhcj?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q**3 + 2*q**2 + 15*q + 74. Let j be a(-7). Let v = j + 5172. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1244133 (base 5) to base 3.\nAnswer: -1021011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.133 + -3.733. Which is the nearest to -10? (a) j (b) 0.05 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, p: 11, b: 1}. What is prob of sequence pbp?\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r - s - 7 = 0, s = -3*r - 5. Let v(x) = 8*x**2 - 1. Calculate the smallest common multiple of v(r) and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 322.1 - 322. Is 0.013 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -188*j - 1. Is b(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -55*i - 276. Let r be u(-5). Sort 9, r, -46.\nAnswer: -46, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -7\/2*a**2 + 1\/4*a**4 + 2 - 3*a + 4\/3*a**3. Let x be ((-5)\/3)\/(2\/6). Give f(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 477 - 264. Suppose 4*c = 2*v - 322, -v + c + p = 50. Calculate the greatest common divisor of v and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s = 0. Let t(v) be the second derivative of -1\/12*v**4 - 2*v + s - 1\/6*v**3 + 0*v**2. Find k, given that t(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8*s = 4*u - 50351, -3*s = 2*u - 50359. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y - 3. Suppose -4*o - 4*i - 8 = 0, 0*o - 2*i - 6 = o. Let p be g(o). Suppose 3*b - 5*d = -26, p = 4*b + 3*d - 1. Is -2\/5 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (2 + 51) - (-10 + (26 - 6) + -5).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a - 9084 = -34*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134*b*j**2 + 3*b*j - 52*j**3 - j - 226 wrt j?\nAnswer: 268*b - 312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*u + 9, -7*u - 3 = -3*u + 5*k. Let p be 22\/6 - u\/(-3). Suppose p*n + 2*n + 14 = -2*x, -1 = x + n. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*(sqrt(19) + 0)*-5)**2 - ((sqrt(228) - -2*sqrt(228)*-1) + sqrt(228))\/(sqrt(12) - 2*sqrt(108)).\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 11. Suppose v = 2*j - 1. Let d = 11 - j. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 59*g = -26 - 19. Sort 9, g, 23 in descending order.\nAnswer: 23, 9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 683712.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/10 greater than -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 106199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2208436289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35135021 (base 7) to base 3.\nAnswer: -12210201021222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/3, -1, -2\/19.\nAnswer: -1, -2\/3, -2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*k + 6219. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 14*x + 1. Let q be j(-3). Let i = q - -59. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157298 is divided by 78584?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.53? (a) 5 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) - ((-2*sqrt(204) - sqrt(204))*-6 - sqrt(204)))) + sqrt(204) + 1*sqrt(204)*3)\/(1*-1*sqrt(1728)).\nAnswer: -7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*v + 57*v + 13. Suppose y - 31 = -u, v + 49 = 2*u + 3*y. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 3 - 2*h + 2*h**2 + 0 - h. Let o(q) = -5*q**2 + 11*q - 8. Determine -3*o(u) - 8*p(u).\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(637) - (sqrt(637) + 5*(-1 + sqrt(637)))) + 3)**2 + (((1 + sqrt(637))*5 - sqrt(637)) + 3)**2)*-3.\nAnswer: -393675 + 1680*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 + 25 - 385*z**2 + 387*z**2)*(-4*z - z + 3*z) to a*z**3 + g + w*z + s*z**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + a**2 - a**2 + 2 - 2 + (2*a**2 + 0 + 0)*(-2 - 3 + 4) - 3*a - a**2 + 3*a - 7*a**2 + 13*a**2 - 21*a**2.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1563 + -684. What is the units digit of (8\/(-12) - 33\/(-9)) + d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = -101 + 91 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -146891526 and 0.1.\nAnswer: -14689152.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/20 (b) 4 (c) -3 (d) -0.1753 (e) 0.2 (f) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2267 - 61247\/27. Let c = 24116952196931\/3527966490291 - 1\/798363089. Let r = c - -26\/491. Calculate the common denominator of t and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a litre in millilitres?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2313 + 4030?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 750.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = -n, -18 = -2*w + 2*n. Let s = 18 - w. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36940)\/(-5541))\/((-165)\/(-9))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -4 (c) -0.04 (d) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*-1*sqrt(77) + sqrt(77) + (3*sqrt(77)*-3 - sqrt(77)))\/((-4*2*sqrt(70) - sqrt(70))\/(sqrt(640) - sqrt(40))).\nAnswer: 26*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8525 and 4?\nAnswer: 34100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 40. Let b be k\/(-2)*(-5 - -5). Let v = 9 + -8.5. What is the closest to 2 in b, 1\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1256.2 + 1256. What is the closest to d in 3, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**4 - 255*u**3 - 1365*u**2 - 1945*u - 840 = 0. What is u?\nAnswer: -3, -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*m*r*z**2 + 5*m*z**2 + 2*m - 19*r*z**2 + 2*r + 49*z wrt z.\nAnswer: 22*m*r + 10*m - 38*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3101 to two dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-8)*(70 + 2). Suppose -5*z = -2*w - 90, z + 2*z + 2*w - v = 0. Calculate the remainder when z is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1640)\/(-200) - (6 - (-4 + 2)). Let l = -0.3 + 0.9. Let j = 0.1 - l. Which is the nearest to 0? (a) 0.4 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2 + h)*(29*h**2 + 95*h**2 - 39*h**2) in the form d + t*h**2 + s*h + j*h**3 and give t.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k\/(k\/(k*k**(-1)))*k)\/k*k)**12)**(-47\/2) assuming k is positive.\nAnswer: k**(-846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y = 75271 + 152879. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 3 + 9\/(-3). Find the third derivative of -10826 + 12*s**6 + 10826 - 36*s**g wrt s.\nAnswer: 1440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -7. Let n be 13\/(-4) + j\/(-8). Let x = 8 - n. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.576 - 1.316. What is the closest to -2 in 4\/3, s, -0.3, -1\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-12 + (11 - 10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1.7 (b) 1305 (c) 0.4 (d) 5\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**5 + 16*f**4 - f**3 + 5005*f**2 wrt f?\nAnswer: 120*f**2 + 384*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11673503695 and 0.2?\nAnswer: 11673503695.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.7 + -7.6. Let j = -3 - i. Let o = j - -0.2. What is the closest to 1 in 1\/7, o, 5\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 + -52. Suppose 5*f = a*f - 33. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0216 - 107.9216. Let f = -108 - d. Which is the nearest to f? (a) -0.04 (b) -6 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9047 - -8779. Is v != -806\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6\/10017001 - 263116539647\/42772594270. Let l = -22\/427 - u. Calculate the common denominator of ((-25)\/(-5))\/5 + (-141)\/20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 50*o + 846. Determine w(-20).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 0. Let w = i - -7. Suppose -2*k - 10 = -3*p, k - w = -p - p. What is the remainder when p is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -249649*x**3 - 2*x**2*y**2 + 33735*y**2 - y wrt x?\nAnswer: -748947*x**2 - 4*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + f = -f + 83, f + 2 = 0. Suppose -20*v + 190 = 28 + 2. Let x = b - v. Calculate the highest common divisor of 49 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -8 - (0 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*i + 5447, 3*t - 5 - 1 = 0. Calculate the greatest common divisor of i and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5505611?\nAnswer: 19, 101, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.40211mm in micrometers?\nAnswer: 2402.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*u - 145. Let b = 18 - u. Let x = b + 18. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffmfmmmfmmmf. What is prob of sequence fmf?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1841 = -1844. Let q(n) = -n**3 + 6*n**2 - 3*n - 7. Calculate the remainder when q(5) is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21, 30, 49, 84, 141, 226, 345, 504?\n\"Answer: v**3 - v**2 + 5*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -368 + 394. Calculate the greatest common divisor of s and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4013203 + 4?\nAnswer: -4013144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, 0, -6 in descending order.\nAnswer: 0, -0.14, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((22\/6)\/11)\/(1\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 9220, -163?\nAnswer: 9220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 54 - 4. Suppose s + 12*b = p*b + 17, 4*b + 56 = 4*s. Solve s*m - 10*m + 15 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65139733?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 18*d - 216. What is the least common multiple of 24 and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228 (base 9) in base 4?\nAnswer: 32111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 84 = 2*v. Let i be 2 + -1*1 - (v - -29). Suppose 2*y + 3*y - 3*a - 81 = 0, i = 5*a - 15. Calculate the greatest common divisor of 90 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.016682cm in millimeters?\nAnswer: 30.16682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in 1\/2, -5, 0.19, -27, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d = -12 - 56 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6175853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3 + 4. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4527 and 36.\nAnswer: 18108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*3*(-1 - 1). Suppose -4*i + j = -0 - d, 2*i = 2*j - 6. Suppose i*u = -2*u + 160. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -17*j + 101. Let s be u(6). Let o(h) = -h + 1. Let q(b) = -3*b + 11. Calculate s*q(m) + 2*o(m).\nAnswer: m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4284 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20139276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 7 - 9*i**3 + 3*i**4 + i**2 - 2*i + 2 in the form g*i**4 + y*i + q*i**3 + n*i**2 + p and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9, -3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2503*a*g**2*l + 4*a*g**2 + 6*g**2 - 18*g*l - 85*l wrt a?\nAnswer: 2503*g**2*l + 4*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 6:29 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 - -4)*-3 + 1. Let l = -29 - -27. Let m be (-45)\/l + (-12)\/24. Calculate the highest common divisor of m and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 + 1 + 48*b**3 - 1.\nAnswer: 55*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619129901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8272 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: Sort -10, -6, 17, -3, 5, 2 in descending order.\nAnswer: 17, 5, 2, -3, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -81 (b) -3 (c) 30 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 11*l**2 - 15*l + 12. Determine d(10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 14*t**3 + 13*t**2 + 9*t - 2. Suppose 21 = -5*s - 19. Let k be b(s). Round k to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13721 + 2.7.\nAnswer: -13718.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 148 = -859. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 + 206. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*z - 1050 = t + 2*t, -z + 21*t - 20*t = -15 + 1 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -362250562, -362250560, -362250558, -362250556, -362250554, -362250552?\n\"Answer: 2*q - 362250564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/13)*b*b**(2\/3)*(b\/(b*b**(-5)*b*b)*b)**18)**(-1\/13) assuming b is positive.\nAnswer: b**(-2906\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -23.43. Let y = c + -1.27. Let f = y - -1. What is f rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2.02. Let x = l + -0.28. Let v = -0.2 + 0. Sort v, x, 2 in descending order.\nAnswer: 2, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-4)*25\/(-1000)*-20?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 20*j - 203. Let o be l(10). What is the nearest to 1.8 in o, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*i**2 - 3*b**3*i - 261*b*i + 1108*i**2 wrt i.\nAnswer: 4*b**3 + 2216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/10716 and 61\/26790.\nAnswer: 53580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -2, 10, -1, 4.\nAnswer: -55, -2, -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((8\/(-24))\/((-4)\/6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -149 + 147. Let u be (-1)\/((4\/(-8))\/((-20)\/n)). Solve -2*l = 4*p - u, 0 = 3*p - 5*p + l + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4303.000002639 - 4303. What is d rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n**4 + n**3 - 3346*n**2 + 40*n - 13333830 wrt n?\nAnswer: -8*n**3 + 3*n**2 - 6692*n + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4 = -0*o. Let v = o - -3. Which is the third biggest value? (a) 3 (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 11*z**2 - 148*z + 303. Let w be l(29). Is 5262 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 105 = 5*n, -2*x + 863 = 4*n + 893 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 6*t + 2*t)*(2 - 1 + 2)*(3 - 1 + 1)*(-5 + 0 + 3).\nAnswer: 72*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 18*u**2 - 119*u + 332. Let h be y(3). Solve 4*c = -3*b + 4, -142*b + 16 = 2*c - h*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(252)*-1*-3 + ((sqrt(3087) + sqrt(63) + -2)*6)**2).\nAnswer: -3438*sqrt(7) + 145296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 233809 greater than or equal to 233810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 83 + 108 - 77 - 13*q)*(0 + 2 + 0)*(0 + 1 + 2).\nAnswer: -108*q - 312","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Let s be 1 + -3 + 107\/(-2). Let v = s + 57. Which is bigger: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17883?\nAnswer: 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16*-1)\/(2\/(-20))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + f - 9. Let c be q(-3). Let y(p) = -5*p + 5. Let i(s) = -4*s + 4. Determine c*i(k) - 5*y(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -756*i - 2863. What is k(-2)?\nAnswer: -1351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 28. Calculate n(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 353651 and 516596.\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + 7*d + 8. Let s be w(-5). Suppose r = -5*t + 25, -2*t + s = 3*r - 0*t. Suppose 2*o - r*o = -72. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 = -2*k. Let d be ((-24)\/(-16))\/((-2)\/(-12)). Let q be d\/(-6)*k - -16. Solve -q - 1 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 2*v**2 - v - 1. Let c be y(1). Solve 2 = -c*o + 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41696, 83393, 125090, 166787?\n\"Answer: 41697*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -9*z + 5, -66*z = -3*w - 69*z + 48 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 24*p**3 + 25*p**2.\nAnswer: -p**2*(p - 25)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Suppose 0 = l - m*l + 180. Suppose 3*h - 49 = -2*u + 6*u, 3*h + 4*u - 41 = 0. What is the highest common factor of h and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 372, 3, 92, 2\/15, 0 in descending order.\nAnswer: 372, 92, 3, 2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 14*c**2 + 15*c + 4. Let v be q(15). Suppose -3*g + v*g = 1733. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11331\/(-6)*4\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.33 - 4.33. What is the biggest value in 0.2, r, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4166 less than 4166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 36, -8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 0*a**2 + 12*a**4 + 0*a + 25\/3*a**6 + 18*a**5 - 2 + 8\/3*a**3. Factor f(s).\nAnswer: 2*s**2*(s + 1)*(5*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (40938\/(-14))\/(-3) + 4\/14?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 8:31 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dic. Give prob of sequence cd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -24, -4*s - 3271 + 3239 = -5*w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 - (1 + 1)) + 0)*-30. Suppose 2*v - u = -v. Suppose -3*d - 6 = -v. Calculate the remainder when 37 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 12. Suppose -s = s - y. Suppose 3*k + 35 = 2*i + s*k, 4*k + 80 = 5*i. Solve -4*o - i = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50217593325*s + 1214*s**2 + 50217593325*s.\nAnswer: 1214*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, z: 9}. What is prob of sequence tt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*y - 0*u + 12, -3 = -3*y + u. Suppose -35*x + 29*x = 0. Solve -3*c + 8 = -2*v, 2*v + y*c - c = x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 194 + -131. Suppose 3*f + 9 = r. Let i be f*1*-2500*1. What is i rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -0.324332?\nAnswer: 0.524332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 6*4*1. Let o = r + 24. What is the remainder when 435\/9 + 1\/o is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*p - 3*b, 0 = 4*p + 132*b - 130*b - 50. Solve 3*a - 3 = 3*d, 9*a + 5*d = p*a - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, o: 5, b: 1}. What is prob of sequence oby?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/10)\/((-1)\/(-5)). Put 5, x, 2 in descending order.\nAnswer: 5, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101900 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 823, 2490, 4995, 8338, 12519, 17538?\n\"Answer: 419*o**2 + 410*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a second in milliseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*12\/324*9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 4 - 4*s - 2*s. Let n(j) be the first derivative of -3*j**2 + 5*j + 5. Let w = 6 - 13. Give w*t(v) + 6*n(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20943282043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 62. Let p be g(18). Let d be (p\/(-10))\/((-20)\/50). Let a(w) = -w**2 - 7*w - 12 + d*w**2 + 5 - 2*w**2. Calculate a(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i. Let r(s) be the third derivative of s**5\/24 - 35*s**3\/3 + 20*s**2. Let y(c) be the first derivative of r(c). What is d(y(j))?\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -160*n**2 - 1382*n. Let x(l) = l**2. Determine b(x(q)).\nAnswer: -160*q**4 - 1382*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5520066 centuries to decades.\nAnswer: 5.520066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.98, 236\/139, 4\/21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q + 733 - 736. Sort 933, -5, -2, 3, q.\nAnswer: -5, q, -2, 3, 933","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/4 - 4331*n**4\/2 - 1414221*n**3\/2 + 2160324*n**2 + 25456059*n\/4 - 38535021\/2 = 0.\nAnswer: -8322, -343, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -0.01958.\nAnswer: -0.51958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22265 is divided by 4358?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 527 (base 13) to base 14.\nAnswer: 46a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -383256 to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 24 = -5*n, -4*n - 2*f - 11 = 9. What is the remainder when ((-86)\/(-4))\/(2\/4) is divided by (-1)\/n - 393\/(-18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79453374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20966688 and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12))\/(5\/(-30))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3219 + 555 = -1051*t - 430 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, -2\/3, -2599, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - 25 - 1) + -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/7 - 2*n**2\/7 - 43*n\/7 - 40\/7.\nAnswer: (n - 8)*(n + 1)*(n + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 greater than -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-33 - 2*h**3 + 33)*(-h + h + 2*h**2).\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2 = -p + 4*l, -2*l = 3*p - 7. Let w(u) = 3 + 5*u + u**p - 13 + 8*u**2 + 3. Calculate w(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (16 + -22) - (-3 - (0 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*g - 84 = -28*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -9*x + x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y - 80. Let v be c(-15). Calculate the highest common factor of v and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 0*k + 0*k. Let p(x) = -3*x**2. What is l(p(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41041328 and 656?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1748 and 988.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 + 9*p**2 + 9*p + 12. Let m(q) = -3 + 538*q**3 - 2*q**2 - 683*q**3 + 144*q**3 - 2*q. Determine 9*m(w) + 2*z(w).\nAnswer: -w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2. Let l(o) = -3*o**2. Let n(v) = -5*l(v) - 8*s(v). Let a(m) = 5*m + 30. Let h(g) = -14*g - 80. Let f(d) = 8*a(d) + 3*h(d). Calculate f(n(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 11*g - 8. Let q be n(10). Suppose 3*z - 5*h - 180 = -q*h, -3*h = -4*z + 243. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -540 divided by 18?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2 + 883*y + 884 = 0. What is y?\nAnswer: -1, 884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 374579*p**5 + 10*p - 18763?\nAnswer: 7491580*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-30173)\/286 - -103)*4\/145\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2782, -5562, -8342, -11122, -13902?\nAnswer: -16682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -13002 (b) 0.3958 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*b = 726421 - 719635 for b.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2548 and 4663230.\nAnswer: 4665778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 - -10) + (-2 - 0). Are f and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r**2 + 5*r - 5. Let o(x) = 3*x**2 - 2*x + 2. Let t(z) = -2*c(z) - 5*o(z). Let p(d) = 5*d. What is t(p(k))?\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 19 = -4*l + 3*j, 2*l = j + 7. Which is the closest to -2\/3? (a) 0.2 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**3 + 2*y**2 + 29*y - 30. Let b be q(1). Which is smaller: b or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/6029, -1.4, -32, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 851250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000586265 rounded to six dps?\nAnswer: -0.000586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*3\/(-66) - (-124)\/(-44). Put p, 5, -20 in ascending order.\nAnswer: -20, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210313320 + 22?\nAnswer: 210320002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 7*f + 6. Determine r(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24076783 times -0.2?\nAnswer: 4815356.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5589378?\nAnswer: 2, 3, 89, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11813 is divided by 11795?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.134 + -0.434. Which is the fourth smallest value? (a) 0.4 (b) -2 (c) u (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3523.377 meters?\nAnswer: 3523377000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-162)\/(-15))\/((-21)\/(-140)) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*r**4 - 251*r**2 + 39 + 42 - 81 + r**3 wrt r?\nAnswer: 120*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6 + 4*a - a - a. Let i(c) = c**2 + 10*c + 5. Let g be i(-10). Let j be l(g). Solve -3*p + 25 = 4*d, 0 = -j*p - 0*p + 3*d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5547093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(72\/(-30)) + -8 + 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.12 to the nearest integer.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1700) + -5 + sqrt(1700)*-2 + 2 + (3 + sqrt(1700)*4*-4)*-1.\nAnswer: -6 + 110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-4) - (-10 + 63\/12)) + 0. Let v be -15*(2 - 30\/9). Let d be ((-10)\/8)\/((-1)\/v). Solve -d = 3*u - 2*i, x*u + 0*i = i - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -354372.443 rounded to the nearest 1000?\nAnswer: -354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - l = -5*c + 20, 5*c + 5*l = -25. Let g be (c*(-4)\/16*-2)\/2. Factor g + 3\/4*v**3 + 0*v - 3\/4*v**4 - 1\/4*v**2 + 1\/4*v**5.\nAnswer: v**2*(v - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 1 + 95*q + 1.\nAnswer: 95*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 16 - v**2 + 6*v - 3*v + 0*v**2 + 38 + 3. Let b be p(-6). Suppose 0*r + 1\/2*r**2 + 0 + 1\/2*r**b = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*a - 640*a + 931*a - 1979*a - 1781*a.\nAnswer: -3226*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - b**2 + 7*b**2)*(124 - 1823*b**2 + 18 - 142).\nAnswer: -14584*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*g - 4*t, 248*t + 10 = 2*g + 243*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 79625.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 299*q - 406*q + 236*q - 348*q - 83*q as m*q + l and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.827463 * 11\nAnswer: -9.102093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2054060 and 1860.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1913*s - 1981*s - 204 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 7*n + 5. Let r be m(-6). Let x(t) = -6*t**3. Let a = -1 + 4. Let j(q) = 5*q**a - 4*q**3 - 5*q**3 + 5*q**3. Give r*x(z) - 5*j(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -15 + 4 + 1 - -2. Let o be (y\/(-88))\/(1\/4). Factor 2\/11*l**3 - 6\/11*l - o*l**2 + 0.\nAnswer: 2*l*(l - 3)*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110 + 111100010100110?\nAnswer: 111100000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1158 less than -15731879284?\nAnswer: -15731879283.8842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyhyhhyh. Give prob of sequence hhhh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 15. Let y be u(13). Determine b, given that -4*b + 4*b**y + 0*b**2 - 2 - 2*b**2 + 4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/4 (b) -0.148 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 103. Let f(d) = 2*d - 192. Let q(m) = -6*f(m) - 11*r(m). Determine q(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25005 + -3?\nAnswer: -25012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {g: 1, d: 2, h: 2, z: 1, x: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/30 - 320\/(-150). Suppose 9 - 7 = -a*g. Let w(v) = -v**2 - 1. Determine w(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 2*q - 1. Give t(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(2 + (-11)\/6). Let v be (-1 + (-1)\/(-7))\/(45105\/(-651) - -69). Solve v*j = o*j - 45 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33084*m**2 - 35*m + 14 wrt m.\nAnswer: 66168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 4*a - 26*z + 49*z, -2*a = -4*z + 4 - 100 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/((-85)\/2) - 4536\/15. Which is bigger: o or -301?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*t + 3*p, -5*t - 22 = -4*p + 4. Let z(o) = -21*o**3 - o**2 - 19*o + 6. Let r be z(t). Round r to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 10:56 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*y + 5. What is the smallest common multiple of y and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ube when three letters picked without replacement from ffeeubfehfeeeeueff.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/12)*w)\/(w\/w**(-2)))\/(w**(-8)\/w**(1\/3))*((w**(-5)\/w*w)\/(w\/((w*w*w*w**10)\/w*w)))**(-47) assuming w is positive.\nAnswer: w**(-1287\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 5*c**3 - 7*c + 6*c.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 1:16 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -55451.7325 and -4.\nAnswer: -55455.7325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1 - 8 + t + 10 - 8*t - 22*t. Let u(o) be the first derivative of -3*o**2\/2 - 28. Calculate u(n(x)).\nAnswer: 87*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 1. Let l(o) = 2*o. Let x(w) = -i(w) - l(w). Let k be x(-4). Let z = -4 - -69. Calculate the highest common factor of z and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - a - a + (0*a + 0*a - 12*a + (0 + 0 + a)*(4 + 0 - 3) + 3*a + a - 2*a)*(0 + 1 + 1).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -643 - -917. Let z = o + -191. Suppose 235 - z = n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1304\/144839?\nAnswer: -1304\/144839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3231953.23 to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -23*(9367\/(-232) + 40 - (-26)\/(-16))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11207000 to the nearest one hundred thousand.\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**5\/15 + n**4\/12 - n**3\/6 + n**2\/2 + 2*n. Let w(t) be the first derivative of m(t). Is w(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 8, w: 3, g: 2, j: 4}. Give prob of sequence wg.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - m**2 + 8*m - 16. Let q be g(-4). Factor q - 1\/2*c**2 + 3\/2*c.\nAnswer: -c*(c - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 15 + 3 = 0, -2*i - 4*x + 12 = 0. Suppose i*v + v = 3, 6 = -4*j + 2*v. Solve l + 3*l = j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2522488, 2522505, 2522522?\n\"Answer: 17*k + 2522471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/7))\/o*o*o*o\/o**6*o*o*o**6*o\/(o*o**3) assuming o is positive.\nAnswer: o**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2145 (b) -1\/4 (c) 1\/110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9504387 millilitres in litres?\nAnswer: 0.0009504387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 - (10 + -13 + -2 + 3) is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 18 - 36. Let f = -8 - -8.3. Put f, -1, g in decreasing order.\nAnswer: g, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 24*n**2 + 167*n - 5. What is o(8)?\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p - 8*p = -1056. Suppose -3*x + 9 = -j, x - 5*x + p = -3*j. Which is greater: j or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 203?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -53780.01?\nAnswer: 53791.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*d**2 + 61*d**2 + 24*d**2 + 26*d**2 + 25*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.44 in 0.1, -946, 0.4, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 113284, 113319, 113356, 113389, 113412, 113419?\n\"Answer: -u**3 + 7*u**2 + 21*u + 113257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qppppqq. What is prob of picking 1 p and 1 q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 859.\nAnswer: -5\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -40 - (36 + -1 - (-458 + 428))\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 290*h**2. Let z(i) = -55*i. What is z(o(a))?\nAnswer: -15950*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46965 in -1, 55, 0.5?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = -4*l - w, 0 = 3*l - 3*w - 12. Suppose l = 9*m - 0 - 18. Sort -3, 4, 1, m in descending order.\nAnswer: 4, m, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-22 + 6) - (6 - 0)) + 12 - -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10450 and 145882.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = b - 11, -b + w = -6*b - 65. Let o(g) = g**2 + 11*g - 12. Let f be o(b). What is the greatest common divisor of 120 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**3\/6 + 2*d**2 + 883*d + 2. Determine g(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2822 and 1560?\nAnswer: 2201160","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2123, -2318, -2503, -2672, -2819, -2938, -3023?\n\"Answer: p**3 - p**2 - 199*p - 1924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3) + (-1 - -13) + 1 + -7 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*o**2 - o + 131*o**2 - 698 + 148*o**2 - 403*o**2 in the form r*o**2 + h + y*o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*3*16\/(-42).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4361 and 35401263?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwu when three letters picked without replacement from {w: 4, u: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*w**5 - 108346655*w**4 - 48912575981400*w**3 - 77444712582725*w**2 - 32608278650640*w - 4076033702720 = 0.\nAnswer: -902888, -1, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 842160 and 18119200.\nAnswer: 597933600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 14 - 8)*(3141 - 3141 + 720*z) as r*z + o and give r.\nAnswer: -7200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)*-4)\/(sqrt(6) - (sqrt(6) + (sqrt(6) - (sqrt(66) - (sqrt(66) + sqrt(66)*-4))\/sqrt(11)))).\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1 + 19*b - 11*b - b**3 - 4*b**2 + 0*b**2 - 7*b. Let p be x(-4). Let a be 1\/(4 - 8 - p). Let w(z) = -19*z**2 - 2*z - 1. Determine w(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364554 is divided by 465.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4, 2 = 3*f - 2*r + 4*r. Let g be (-96)\/(-54) + f\/9. What are the prime factors of 4\/g + (14 - 1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 19*n**2 + 11*n + 22. Let k = 124 - 105. List the prime factors of z(k).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from iee.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/9 (b) 2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*1\/(8\/10). Let z = 3 + h. Suppose -16*g - 40 = -18*g. Calculate the smallest common multiple of g and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*((3 + 3 - 5)*(23 + 41 - 26) + 3 + 5 - 4)*(-2 + 2 - 1)*(1 - 1 - 2)*(3*d - d - 4*d).\nAnswer: 336*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c. Let r(f) be the first derivative of f**6\/90 + 23*f**3\/3 - 68. Let p(x) be the third derivative of r(x). Calculate p(v(k)).\nAnswer: 400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 2*x - 7 - x**3 + 0 + 9*x**2 + 7 - 1 to a*x**2 + w*x + u + l*x**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 136109, 136122, 136137, 136154, 136173, 136194, 136217?\n\"Answer: k**2 + 10*k + 136098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*k + 219495 + 169065 = 4059*k for k.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*p - 2 + 21, -3*b + 5*p + 47 = 0. Suppose -5*z = -14 + 4. Let q be (1 + 0)*(0 + z). Solve 4*h = -2 + b, q*h - 21 = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -786 (base 14) in base 7?\nAnswer: -4226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 851*r**3 - 429*r**3 - 4 - 412*r**3.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 10365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6908)\/(-286) + 0 + (-6)\/39. Let j be 0 + (12\/h)\/((-5)\/(-40)). Let l(w) = -w**3 + 3*w**2 - 2. Let z be l(2). Solve 4 = z*b - j*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/110*49 + (-2250)\/(-1375).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 2*l**2 - 2*l**2)*(2*l - l - 6*l) + l**3 + 4*l**3 - 4*l**3 + (-2 + 2 - 2*l**3)*(1 + 3 - 2) - l**3 + 2*l**3 - 6*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -518*h**2*l**3 + 3*h**2*l**2 + 158*h**2 - 3*h - 1684*l**3 - l**2 - 5 wrt h?\nAnswer: -1036*l**3 + 6*l**2 + 316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**3 + 5*n**2 + n. Let r(j) = 4*j**3 + 4*j**2 + j. Let y = 437 - 431. Give y*r(i) - 5*h(i).\nAnswer: 4*i**3 - i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -3)*4\/35. Let z = v - -10\/7. What is the third biggest value in 4, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 458*n**2 + 19*n - 9. Let t be x(15). Suppose 0 = 33*o - t - 929574. What is o rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1160904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4650)\/105)\/(3\/(-105))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 410499, 410566, 410645, 410742, 410863?\nAnswer: 411014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**5\/30 + c**4\/6 - 2*c**3 + 286*c**2. Let o(w) = w - 1. Determine k(y) - 12*o(y).\nAnswer: -2*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 5 (c) 0.05393\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t + 968 = 21*t. Is t at most as big as -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2370\/4 + (-10)\/(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 3*s**2 + 2*s - 4. Let y(a) = 2*a**2 - 6*a - 64. Let h be y(-17). Let z = -612 + h. What is q(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -23\/6 (c) -75\/14 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 - 19\/(-4). Let f(l) = w + 2*l - 6*l - 2*l + 1. Let a(d) = -11*d + 11. Let p(h) = -3*a(h) + 5*f(h). Find the first derivative of p(c) wrt c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010101 + -111?\nAnswer: -100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*l = 39 + 52, 0 = 2*s + 2*l + 34. Let i(a) be the second derivative of -a**3\/2 - 30*a**2 + a. Let v be i(s). Is 9 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**6\/30 - 11*y**5\/15 + 24*y**4 + 216*y**3 + 597*y**2. Factor h(a).\nAnswer: -4*(a - 9)*(a + 2)*(a + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -736199781 and 929.\nAnswer: -736198852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 r when three letters picked without replacement from ngnrjzzgnnjrznr?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 18*j - 5. Let l(p) = -21*p + 8. Let d(r) = r - 1. Let g(c) = -2*d(c) - l(c). Let b(z) = -5*g(z) + 6*i(z). Let n(u) = -4*u. Determine n(b(v)).\nAnswer: -52*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-35)\/21*(-18)\/10. Solve 2*i - 2 = 0, x*i + 2 - 3 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -5, -0.28, 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-28) + (-96)\/(-189). Suppose 0*r = 5*r - 10. Factor o*n + 0 + 2\/3*n**3 + 8\/9*n**r.\nAnswer: 2*n*(n + 1)*(3*n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3220113022 (base 4) to base 12\nAnswer: 39a94a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 3 (c) 1\/6 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1302, -4, 10\/11, 0 in decreasing order.\nAnswer: 10\/11, 0, -1, -4, -1302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**6\/6 - c**5 - 35*c**4\/4 - 10*c**3\/3 + 70*c**2 - 2*c - 128. Factor n(x).\nAnswer: 5*(x - 7)*(x - 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0694 * -374\nAnswer: -25.9556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 + 0.2. Let d = 0.052 - -0.048. Sort d, -6, h in ascending order.\nAnswer: -6, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7204?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 116 = 109 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 + 162. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 16 - 778*f - 2*f**2 + 24.\nAnswer: -2*f**2 - 778*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-2 - (-1 - (-4 + 3))). Suppose -i*r + 82 = 3*j, -2*r + 30 = j - 0*r. What is the highest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365 = -2*m - 10*t + 5*t, -2374*m + 2361*m = -5*t - 440 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 41?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h + 3*h**4 + 3*h**4 - 2*h + 11*h wrt h.\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 10:54 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:46 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30911553 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.03 (b) -2\/59 (c) -0.2 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(11) + 1 + sqrt(11) + 4.\nAnswer: 2*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbzb. What is prob of sequence bb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*q)*(0*q**2 + q**2 - 3*q**2) + 10*q**3 - 2*q**3 - 10 + 12 + 115 - 16*q**3 - 115 as p*q + r + z*q**3 + y*q**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 798242, 3192947, 7184114, 12771737, 19955810?\nAnswer: 28736327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1776 + -994. Let s = r + -778. Solve 3\/5*o - 3\/5*o**s - 6\/5*o**3 - 3\/5 + 3\/5*o**5 + 6\/5*o**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - ((-4 - -12) + 8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 268*t - 17956.\nAnswer: -(t + 134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k. Suppose 4*b - 8*b = -5*p + 28, 0 = -3*p - 4*b + 4. Let c(i) = 8*i + 11*i + p*i - 15*i. Give q(c(t)).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -19278\nAnswer: 115668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 145.9678.\nAnswer: -72.9839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821924?\nAnswer: 2, 53, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 9*y**2 + 8*y - 15. Suppose -48 = -42*v + 50*v. Let b be o(v). Calculate the highest common factor of b and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -4352908.\nAnswer: -1\/4352908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.6377027 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39695 and 340.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 37400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c - 5. Let v(f) = f**3 + 2*f**2 - 24*f - 40. What is the smallest common multiple of i(4) and v(-4)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 11. Let c be m(-5). Let z be (1 + (-26)\/c)*3\/(-2). What is the second derivative of z*w**3 - 22*w**3 + 7*w + 9*w wrt w?\nAnswer: -102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3204403083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.570079 months?\nAnswer: 0.46417325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051176973?\nAnswer: 7, 11, 1241059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21)\/84)\/((-2)\/(-136)))\/(27\/27)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1233*l + 1204*l = 174 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -350376*x**2 - 365222*x.\nAnswer: -700752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 53*i = 7*i - 84. Let h(l) be the second derivative of 0 + 5*l - 11\/6*l**3 + 0*l**i - 25\/12*l**4. What is the second derivative of h(d) wrt d?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 212*y = 3308 - 860 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 243.99999727 + -244. Round f to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390 and 240?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 42 - (21 + -30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -36432*u - 1202258. What is m(-33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by ((-416)\/39 - -11)\/(1*(-2)\/(-198))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 680.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2)*z**(1\/5)*z**(-6)*z*z**(1\/9)*((z**(2\/5)*z)**(-4\/5))**(-7\/4) assuming z is positive.\nAnswer: z**(-1064\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 + 36. Let b = n - -34. Let h(a) = 7*a. Calculate the remainder when h(5) is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000038637 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 175995 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5 - 6*t**4 - 495*t**3 - 1362*t**2 + 60*t + 1800 = 0. What is t?\nAnswer: -10, -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/5)\/(3*(-210)\/45)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 1b?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32491553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - g = -3*m - 8776, 4*m + 4*g - 7024 = 0. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s - 3*s + 4*s)*(4 - 6 + 4) - 249 + 249 + 30*s in the form n*s + a and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -341 + 342. Let h(w) = w + 5. Let f be h(-4). Which is the nearest to f? (a) d (b) -7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2440*f + 219066 - 16846 = -5180 for f.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 + 76*j**2 - 150*j - 11. Give k(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1773*o - 1442*o + o**2 - 2984*o.\nAnswer: o**2 - 2653*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 560*412.541\nAnswer: 231022.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 6, 3*l + 12 = -2*p - l. Let j = p + 20. Which is greater: 6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 12 = -0*s. Let f(n) = -n + 1. Let h(a) = a - 1. Let p(u) = s*h(u) - 2*f(u). Suppose 7*w - 4*w = -9. Calculate p(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) - -5*sqrt(2160))\/(sqrt(125)*5).\nAnswer: 72*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559*x**2 + 82*x**2 - 16*x**2.\nAnswer: -493*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1437, -11008, -36993, -87600, -171037, -295512, -469233?\n\"Answer: -1368*f**3 + f**2 + 2*f - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 4*f**3 + 2*f + (f - 2 + 2)*(-2*f**2 - 3*f**2 + 7*f**2))*(-2 + 6 - 1) to w*f + k + p*f**3 + j*f**2 and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10111?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 30*o**2 - 162*o + 7. Let i be a(7). Solve i = -z + 4*z + 3, 4*z + 12 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 2, k: 1, h: 1}. Give prob of picking 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jeeeqjjjqeqaef. Give prob of picking 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 416261, 416260, 416259?\nAnswer: 416258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*(-154 + 2 - -4). Let v = 104 - w. Suppose -71*u + 73*u = v. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**3 + 129*w**2 + 2781*w + 66*w**2 - 2779*w in the form j*w + g + t*w**2 + l*w**3 and give t.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**3 - t**2 + 2*t - 1. Let k(b) = -3*b + 4*b + 0*b. Let v be k(-2). Does 13 divide y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 7*q**2 - 7*q + 9. Let o be s(6). Let r = 11 + o. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -16. Suppose 2*i + u*b - 52 = 0, -2*b = 2*i + 2*i - 92. Suppose 11 = -2*a + 3*a. Calculate the highest common factor of i and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9234?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 - 423*i - 10. What is o(-141)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11*2\/(-6)*9. Let u = m - -49. Find the common denominator of 372\/u*(-4)\/(-66) and -85\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - 0.24. Let s = 0.0355 - -0.2845. Let v = s + n. What is v rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*s + k - 8514, 4*s - 2*k + 11362 = 0. Let l = -2019 - s. Is l a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1348 = -2*s, -2*k = s - 927 + 241. What is the common denominator of -94*(s\/(-1980) + 2\/6) and 58\/25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 5*w + 4*w**2 - w)*(-4*w**2 + w**2 + 4*w**2) + 0*w**4 + 2*w**4 - 3*w**4 + (0*w**2 - w**2 + 0*w**2)*(-2 + 2 + w**2).\nAnswer: 2*w**4 - w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -107 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haaxtscc. What is prob of picking 1 c and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 595 - -643. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*g + 69 = 5*r, 4*r - 68 = 4*g. Solve -5*m + x = -2*m + r, -3*m = -2*x + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 22*b - 127. Give d(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4016210 (base 8) to base 7.\nAnswer: 11655240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxgxxgxxkkkgggxgxkk. Give prob of picking 4 x.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15498, -61782, -138930, -246942, -385818?\n\"Answer: -15432*x**2 + 12*x - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -30*f + 383. Let p(o) = -o + 8. Let g(t) = d(t) - 5*p(t). Calculate g(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 5*o - 1. Let w(u) = -13*u**2 - 68*u + 17. Give -w(m) - 15*z(m).\nAnswer: 28*m**2 - 7*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 20*q**2 + 43*q - 22. Let c be x(-22). Solve c = d + 3*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6*(186\/30 + -7)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/1368 and -59\/7368.\nAnswer: 419976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/5*a - 1\/5*a**2.\nAnswer: -a*(a + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q = -34*q - 4*v + 42, 0 = 3*q + 5*v + 52 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63532*a*p - 31514*a wrt p?\nAnswer: 63532*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 + -400.7469\nAnswer: -400.7269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*q**2*r - 268*q**2 - 22*q*r - 295*q - 1 wrt q.\nAnswer: 62*r - 536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3233 divided by -11\nAnswer: -3233\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26089 + 34.2271?\nAnswer: 26123.2271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95612107?\nAnswer: 37, 2584111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 5*t**2 + 6*t + 16. Give i(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 22\/19, 0, -5\/2, -0.4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -15, -2*f - 2*g - 3*g = -27. Suppose -3*c - 5*o - 19 = 0, -5*o + 4*o = 3*c - f. What is the derivative of -4 + 0*m**c + 3 + 10*m**2 wrt m?\nAnswer: 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*x - r, 2*r - 10 = -8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17600 by 1760.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-190)\/(-55) - (-6)\/11. Suppose 0 = 3*o + t*d - 13, -3*o + 5 = 30*d - 34*d. Solve o*s - 4*m - 35 = 0, -2*s + 14 = -2*m - 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -306\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from {q: 3, o: 3, s: 8, i: 3}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10 = 0, -10*y - 2*f - 32 = -13*y. Solve -y*d = -22 - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 99. Let v(h) = h + 98. Calculate 6*i(n) - 5*v(n).\nAnswer: n + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3353753 (base 13) to base 2.\nAnswer: 111100000011111110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, d: 1, x: 1}. Give prob of sequence dqq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -154, 5, -1, 4 in descending order.\nAnswer: 5, 4, 3, 1, -1, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, z: 2, r: 2, f: 1, b: 1}. What is prob of picking 1 z, 1 c, and 2 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7))**(-1\/41)*((g*g**(-2\/31))\/g)\/((g\/(g**(-1\/6)\/g)*g)\/g))**(1\/35) assuming g is positive.\nAnswer: g**(-119477\/1868370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1135 - -20435\/18. Calculate the common denominator of -3 + 1 + 321\/(-6) + 7 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2. Let g(z) = -77434*z**2 - z. Determine g(d(u)).\nAnswer: -77434*u**4 + u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**5\/10 - c**3\/3 + 3*c**2. Differentiate k(r) with respect to r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (-7 + 12 - 12)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -427 + 472. Let l(i) = 15*i - 2. Let a be l(-2). Let j = v - a. Is j a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1052\/(-2630)*(69\/4)\/((-3)\/(-10))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 32. Solve 0 = k - 5*d + u, -k - 2*d = -5*k - 26 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 8:05 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 117461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Let v = w - -0.1. Let m = v + 4.9. What is the nearest to 0.1 in m, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -2)*75128\/(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-12)\/(-36)*-39).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a milligram in micrograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 775 = -190. Let r(p) = -195 + 4*p + n. Let d(q) = -4*q**2. What is d(r(m))?\nAnswer: -64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1\/6)\/((-93)\/(-1953)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(178\/267)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49801557?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjks when four letters picked without replacement from {s: 1, j: 2, p: 1, k: 2, g: 14}?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -11 - 2) + (-7 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 4529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (-1*sqrt(99) - sqrt(99))\/sqrt(9) + 2 - (-1*(0 + sqrt(11)) + -4))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 3*z**2 - 2*z - 2. Let x be l(-3). Suppose t = -x*h + 78, 0*t = 2*t + 4. What is the highest common factor of 40 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4 + 18*x**3 + 80*x**2 - 72*x - 288 = 0.\nAnswer: -3, -2, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1461\/6 + 2\/(-4). Let j = 495 + -468. What is the greatest common divisor of j and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -71b58 + 1379?\nAnswer: -707bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37478079 or -37478042?\nAnswer: -37478042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74\/592)\/(1\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90699295 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -2*w - 13*x, -86*w + 41*w + 16 = -46*w + 4*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2561866 to the power of 1\/2, to the nearest integer?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1310779 + -510779. What is f rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2*j - 4, 0 = 2*a - 7 - 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwww. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11 - 3*w + 2 + 9. Let g(h) = 7*h. What is g(r(c))?\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.61 + 0.21. Let x = i + 2. Which is the second smallest value? (a) 2\/5 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 0*k**2 + 0 - k**3 - 1\/4*k**4 + k. Find the second derivative of t(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1996.5+-0.0657\nAnswer: -1996.5657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115245 * -4.\nAnswer: 460980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28800, 41181, 53562, 65943, 78324, 90705?\n\"Answer: 12381*p + 16419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(sqrt(1900) - (sqrt(1900) + 4)*2)**2 + -5)*-4.\nAnswer: 3840*sqrt(19) + 47168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 3*l + 3*l)*(-l - 2*l + 5*l)*(-4 - 2 + 2)*(-2 - 2 + 2 + (-2 + 2 - 2)*(0 - 1 + 2) + 0 - 3 + 4 + 0 - 1 + 0).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 - 3. Let u be 9\/14 - 1\/2. Let d = -6 - -8. Which is the closest to v? (a) d (b) 0.03 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**2 + 4*i**2)*(3*i - 6 + 6).\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5182867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 8 = -3*l + 2, 2*o + 6 = -l. Let i = 1 - l. Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.494267 kilometers?\nAnswer: 4494267000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h - 135 - 21 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttctttctxxttgcxtctk. What is prob of sequence gxtt?\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4202040 (base 5) in base 11?\nAnswer: 47946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j + 15. Calculate k(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99 + 150. Let t = s + -51.79. What is t rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**6\/60 + h**5\/60 - 2*h**2 + 2. Let w(m) be the second derivative of a(m). Find the third derivative of w(o) wrt o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/31, -5, 5.1, -13?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + f - 4. Let w(n) = 0 + 0 + 1. Let m = 162 - 163. What is m*r(s) - 4*w(s)?\nAnswer: s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-9) + 550\/45 + -9. Let q(t) = 190*t + 36. Let n(v) = -95*v - 17. Let g(d) = z*q(d) + 5*n(d). Differentiate g(f) wrt f.\nAnswer: 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.026 or 1\/762017?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 + 6*i**2 - 6. Let m(p) = 0*p**2 + p**2 + 1 - 2*p**2. What is -k(h) - 6*m(h)?\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -8634, 13, 2 in decreasing order.\nAnswer: 13, 2, -8634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 27 = 4*j, 12 = 4*j + 3*z + z. Suppose 20*m - 4469 = 1871. Suppose 0 = j*b - m + 117. Calculate the remainder when b is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**4\/12 + 4*y**3\/3 + 31*y**2\/2 - 14*y. Let x be k(11). Let p = 5 + x. Solve 2*s + 1 = 3*v, 0 = -v + p*v - s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 146680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -952179 * 5\nAnswer: -4760895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/30622 and 16\/217.\nAnswer: 6644974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 12:55 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6954448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lycc when four letters picked without replacement from {y: 1, c: 3, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -702.98839 - -703. Round u to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1177396575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 15*a - 126. Let g be v(-21). Suppose -78*z + 561 + 3183 = g. Calculate the remainder when 1\/(-2)*-79*6 is divided by z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4022251843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 8*p = -199. Which is bigger: -197 or p?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 100*c**2.\nAnswer: 100*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 824040 and 179196.\nAnswer: 112893480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*j = -v - 18, 2*j = -v. What is the smallest common multiple of 20 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8.06. Let d = b - 0.06. Put d, 2\/13, 0.1 in descending order.\nAnswer: 2\/13, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846*h + 2*v = 848*h + 12, 6 = -7*h + v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -3610, -14169, -35242, -70333, -122946?\nAnswer: -196585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 3*o**8\/56 + o**4\/12 - 3*o. Find the third derivative of i(w) wrt w.\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 0. Let f(m) = m**3 - 4*m**2 - 2*m - 12. Suppose -9*r + 15*r = 30. Let p be f(r). Solve p*d - 5 = h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 2)*(-10198*x + 6129*x + 5144*x) in the form b*x + s and give b.\nAnswer: -3225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 + -10750. Round g to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - (-156)\/30 - (-12)\/15. Sort b, 11, -2, 3 in increasing order.\nAnswer: -2, b, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41340 to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 18 - 18 = -4*l, 5*l + 74 = 3*u. Let i be 8\/u - 152\/(-7). Suppose 4*v = -5 + 13. What is the highest common divisor of v and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 94 = -3*s + 2*d, -5*s - d = -199. What is the remainder when s is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 - 1723*c = 0.\nAnswer: 0, 1723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*m = x - 7263, -4*m = -2*x + 4820. Suppose 6*b - 3*b = -9, -2*t - 4*b + x = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(176\/(-6)))\/(1\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = 5*f + 227. Let l be (-282)\/(-15) + f\/30. Suppose 0 = 10*j - 0*j. Solve -5*t + l = 3*h, 2*t = h + 1 - j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - k**2 + 3*k**2)*(42 + 52 - 62)*(2 - 3 - 1).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*d + 1)*(-646*d - 792*d + 33*d**2 + 1321*d) in the form a*d + k*d**3 + p + y*d**2 and give y.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95638940?\nAnswer: 2, 5, 17, 281291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 1928927254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 236983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (6 - 3) + -4 + 6 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r - 18 = -55*r. Let m be (25 - (-6)\/r) + 7 + -8. Solve -3*y - y - 4*j = 36, 2*j + m = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.286 + -3.26. Let n = -0.194 - k. What is the nearest to -1 in -4, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddccdddcddd. What is prob of sequence dcdc?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 0*f**3 - 6*f - 5*f + 12*f + 8*f**2 + f**3. Let x be s(-7). Let c = 93 - x. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 2, k: 1, p: 1}. Give prob of sequence aa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6*i = 3*r - 31, 5*r = -i + 61. Let h = r - 11. Solve -d - 5 = -h*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3464722 is divided by 7043?\nAnswer: 6609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 + 137. Suppose 5*c + w - 13 - 4 = 0, -5*w + o = c. Which is bigger: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f + 155. Calculate the remainder when m(-17) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 + 0*n**4 + n**4 + 29*n**4 - 243*n**3 + 243*n**3 + (-n - n + 0*n)*(-5*n**3 + 6*n**3 - 2*n**3) to z*n**3 + s*n**2 + l + y*n**4 + m*n and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/(-1872)*-6)\/(14\/176*2). Is q < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 49*d**2 + 1\/3*d**3 + 0 - 12*d. Does 21 divide p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14489 + 21720 - 11052 - 2450)*(-3*o**3 + o**3 + o**3).\nAnswer: -22707*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 i, 1 k, and 1 z when four letters picked without replacement from lihkzzkg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 11*o**2 - 11*o - 14. What is v(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5611 - -7538. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 452335?\nAnswer: 452334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/77)*j**(-4\/13))\/((j*j**(-3\/8))\/(j\/j**(5\/3))) assuming j is positive.\nAnswer: j**(-39047\/24024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 10 = -d, -3*q - 2 = 5*d - 0. Let v = -3 - -1. Let c = 0 - v. Solve d*m + c*t = m - 5, 5 = -3*m - 4*t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51948, -4, 0, 1 in descending order.\nAnswer: 51948, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64.182 - -1.752. Let l = -60.63 + -1.37. Let k = l - z. What is k rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675984 plus 10?\nAnswer: 2675994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 + w. Let j be k(1). Let g be (5\/10)\/((-2)\/j). Is -2\/13 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -4. Let f = k + -9.9992. Round f to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + -6 + 1*-3. Put -1\/2, r, 5 in increasing order.\nAnswer: r, -1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntqnvntqniti. What is prob of picking 1 q and 2 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 2*x + 15. Let j(i) = -11*i + 1. Let p be j(-3). Suppose -4*c + 246 = -p. What is the greatest common divisor of c and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 + 19 - (-2)\/(-21)*-39)\/((-2)\/14)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1039, -1433, -1813, -2173, -2507, -2809?\n\"Answer: h**3 + h**2 - 404*h - 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 526*p**2 - 2*p + 86 + 0*p.\nAnswer: 526*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -821 (c) -2\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13442 = -2*r + 2*m, 0 = -4*r - 11*m + 8*m + 26842. What is the greatest common divisor of r and 255?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*2)\/sqrt(2) - (sqrt(3900) - (sqrt(3900) + (sqrt(3900)*-1 - sqrt(3900)))))\/((sqrt(825)*-3)\/(sqrt(121)\/sqrt(99))).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 20*f**2 - 21*f + 42. Let h be y(21). Calculate the highest common divisor of 105 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.31 (b) -4 (c) 1.1 (d) 3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((0 - -5) + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/35 - 220\/525) + 0. Let v = -4.1 + 0.1. Which is the third biggest value? (a) f (b) v (c) -5 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11)*c)\/c**(-10)*(c**(-11)\/c)**(-38) assuming c is positive.\nAnswer: c**456","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000414836 to 7 dps.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23\/20 - 9\/40. Let d be (-6189)\/(2*(-33)\/4). Let c = -370 + d. Calculate the common denominator of c and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 83*a + 473. Give g(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11402 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.21773?\nAnswer: -0.21773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15832*u**4 - 6*u**3 + 1920*u**2 + 2*u + 21.\nAnswer: 379968*u - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b = -2559005 - 60092670. Let h = b - -3784067. Round h to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/1 - -11) + 4. Solve 3*o = -2*i - w, 3*i - 1 = o + i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 j when four letters picked without replacement from {d: 1, p: 8, j: 2, r: 9}.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0229987 - 0.023. What is l rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 16 = 9*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -267, -762, -1621, -2940, -4815, -7342, -10617?\nAnswer: -14736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -307 - 57. What is the highest common divisor of m and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*z + 2 = 216*z. What is the second derivative of 399*q**2 + 97*q - 196*q**z + 61*q**3 - 203*q**2 wrt q?\nAnswer: 366*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*t. Let i = -4 + 7. Which is the third biggest value? (a) i (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80968 by -116.\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5748?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -21*f - 9. Let r be o(5). Let i = 49 + r. Let d = -41 - i. 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: Which is the nearest to -32? (a) 24 (b) -27 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/24865 and 42\/5.\nAnswer: 24865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2500.5001 - 2501. Let z = c - -0.5. Let j = z + 0.004. What is j rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34459 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**4\/24 - d**3\/3 - d**2. Let p(k) = 2. Let y = 13 + -15. Let c(u) = y*p(u) - 2*s(u). Let r(z) = -7*z. Give c(r(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36*(-49)\/(-21168))\/((-15)\/(-8)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -64?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31343*t*u**3 + 7712*t - 2*u**2 wrt u.\nAnswer: -188058*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(187))\/(sqrt(121)\/(sqrt(11)*1)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a hour in minutes?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 175, 594, 1409, 2752, 4755?\n\"Answer: 22*k**3 + k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -329 - -331. Suppose 4*b - x*j = 6*b - 3140, 0 = -5*b - 3*j + 7844. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 7:45 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6}. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1077*k**4 + 12*k**3 - 1899*k**2 - 133285665 wrt k.\nAnswer: 4308*k**3 + 36*k**2 - 3798*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53604193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.4 and 4.\nAnswer: -45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 - 373 = -y + 4*r, 0 = -y - r + 665. Which is smaller: y or 661?\nAnswer: 661","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*p - 2 - 1 + 15*p**4 + 5 + 102*p + p**2 to the form s + z*p**4 + u*p + h*p**2 + x*p**3 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156626 (base 10) to base 15.\nAnswer: 3161b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58378.000029179 + 58378. Round b to 6 decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12*t**2. Let n(b) = -69*b + 1. Determine n(q(h)).\nAnswer: 828*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -57, -64, -83, -120, -181, -272, -399, -568?\n\"Answer: -l**3 - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -225 + 229. Let o be 26\/8 + (-1)\/n - -8. What is the highest common divisor of 297 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3.8. Let b = 0.6 - u. What is the closest to 2\/3 in -5, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -j + 4*n, 4*j - 107 = 8*j - 5*n. Let c = -27 - j. Sort 0.2, -3, c.\nAnswer: c, -3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 8*r**2 - 18*r - 18. Let i be s(10). Determine n so that -n**2 + 27*n - 2454 + 2424 + 4*n**i = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203100491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227732?\nAnswer: 2, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*w - 8*f + 2058, w = -3*f + 405. What is the least common multiple of w and 506?\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 48 = -g - 50 + 82, 3*g = 44*n + 75 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 4:48 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 16*g + 51392 = -4*r, -5*g = -3*r + 257006. Round g to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 + 14*z**4 - 108*z**3 + 232*z**2 - 160*z.\nAnswer: z*(z - 2)**3*(z + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000 is divided by 84.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -44 - (-4 - 37 - -5)) + (-6 - -3)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -314 (base 5) to base 9\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61616716?\nAnswer: 2, 7, 31, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 5) in base 4?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1455 + -1456. Is c at least -15\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/8, 0.1125, -2\/7, -4, 0.1, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/14*8)\/(37\/(1036\/8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by -144.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 11*u + 134 - 68, -4*u - 67 = -5*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 + k**2 + k. Let c be d(-1). What is the closest to c in -3, 0.2, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*w - 8387, 4*w - 8*h + 5*h = -8407. Let l = -589 - w. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 4:56 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 2470748?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -6. Let f(i) = 36*i + 32. Let j be f(-1). Which is the second biggest value? (a) j (b) y (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -707526\/11 + 64320. Let l be (6\/4)\/(3\/4). Which is the nearest to 2\/7? (a) f (b) 1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(1331) + 0)*-2*5)**2 - (-2*sqrt(1331) + -2 + 3))*1.\nAnswer: 66*sqrt(11) + 399297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 14*d**2 + 12*d + 21. Let u = 54 + -44. Let k be i(u). Let p = -204 + k. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4376*r = -729062 + 212694 for r.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 907781 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r - 12. Let y be r\/3 - 8\/12. Let h be (-2)\/(-2 - (0 + -4)). Is y at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252\/979183 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:26 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4876 - -718. List the prime factors of (-2)\/(-4) + j\/(-28).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 4*c**2 - 2*c + 3. Suppose -i - 2*i = 72. Let r = 36 + i. Suppose l + r = -3*l. Determine z(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (sqrt(1100) - (4*sqrt(1100))**2)) + 2.\nAnswer: -35196 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003407696 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -493 divided by -548\nAnswer: 493\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/4 - 541891*o\/2 + 293645855881\/4 = 0. Calculate o.\nAnswer: 541891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 327\/4 - (-9)\/36. Let d = n - 75. Let j(b) = -b - 9. What is j(d)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + n**2 + 3645*n**3 - 3640*n**3 - 153*n.\nAnswer: 5*n**3 - 153*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 55\/4 of a gram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - (-3)\/9)*-6. Suppose 3*x - 4 = -2*r - 2*r, 0 = 5*x - r - k. Which is the second biggest value? (a) -3 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -158068*s - 3*s**2 + 158060*s - 27 + 6*s**2. What are the prime factors of f(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 + 11 + -9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k - 23. Let q be v(-11). Calculate the greatest common factor of q and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45581\/21936 + -12\/457. Let q = y + 7\/16. Let h = 3 - 0. Sort 3\/2, h, 0.3, q in ascending order.\nAnswer: q, 0.3, 3\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8+-58027603543.6\nAnswer: -58027603544.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/16 (b) -1 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 970*b**2 - 2*b + 1. Let z be (1 - 4)*(9 + (-78)\/9). What is the hundreds digit of d(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 312315 - -5?\nAnswer: 312323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 6 - 0) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Let u be (w + -5)\/9*-6. Suppose 18 - 3 = 5*k. Sort u, -1, k.\nAnswer: -1, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22479941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-44)\/693*28\/(-24)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 5 + 2 + 2 + 0*f. Let l be d(-9). Suppose -4*z + a + 129 = 0, 5*z - 5*a - 153 = l. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122036621002+-0.09\nAnswer: -122036621002.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26599448?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89666356 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*y + 87. Let o(z) = z**2 - 2*z - 5. Let i be o(4). What is the remainder when ((-7)\/i)\/(3\/(-63)) is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -55 - (-1 + -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Suppose 5*x + m*x - 10 = 0. Suppose -x*w = -4*v + 6, 0*w - 6 = v + w. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**4\/7 - 752256*c**3\/7 - 141468511045*c**2\/7 + 1414748300634*c\/7 - 2263616539024\/7 = 0.\nAnswer: -376133, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 2*w**3 + 295*w - 146*w - 143*w + 22*w**4 - 6 to the form b*w**2 + v*w + y*w**4 + g*w**3 + l and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298449750?\nAnswer: 2, 3, 5, 107, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/29, -78, -3\/29, -4, -2\/13, 12?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3279 + 3278.93518. Round x to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7 + 8 = 0. Suppose -o*v + 1 = 6. Which is smaller: -1\/8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 20, -5*l - 5*w = -2*l - 85. Let a be 4*(-5)\/(l\/(-91)). What is the greatest common divisor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -265*x**2 + 749*x - 440. What is n(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 22079a (base 11) to base 2\nAnswer: 1010110000001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**5\/7 - 356*m**4\/7 - 1752*m**3\/7 + 86560*m**2\/7 - 294400*m\/7 = 0. What is m?\nAnswer: -80, -23, 0, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2. Let b(g) = -3*g - 2. Calculate b(d(p)).\nAnswer: -6*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p - 5*l - 995 = 0, -124560*p + 124563*p + 91 = -4*l for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/19 + 330\/114. Let t be (-9)\/6*76\/(-6). Determine z so that 12*z**3 - 4*z**4 - 8*z + t - 15 - 4*z**p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0204621 to 4 decimal places.\nAnswer: 0.0205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 19*f**2 + 215*f + 41. Calculate y(27).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 496517 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*u**2\/7 + 36*u\/7 - 78 = 0. Calculate u.\nAnswer: -13, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5992, 11829, 17666, 23503, 29340, 35177?\n\"Answer: 5837*g + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1008 by 144.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -193.8 - -194. What is the nearest to -1\/4 in -10, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -8. What is the nearest to d in 9, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-78)\/(-15) + (0 - 3\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 11:32 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r - 1. What is the remainder when b(-3) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 2785*d + 40 + 26*d**2.\nAnswer: 26*d**2 + 2785*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*j - j - 133, j + 118 = 3*t. List the prime factors of t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -55097*a**3 - 463. Let h(s) = 475*s**3 + 4. Give -463*h(c) - 4*p(c).\nAnswer: 463*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 176142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*2*24\/144*(15 + 0). Sort 3, w, 6, -10.\nAnswer: -10, 3, 6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4376 and -61\/10?\nAnswer: 21880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1103302010013?\nAnswer: 1103302010003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-77)\/70*-1?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*a**3 + 804\/7 - 804\/7*a**2 - 2\/7*a.\nAnswer: 2*(a - 402)*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2090 - -12339. Suppose 7603 = 17*g - r. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 2*l - 2. Let r be i(2). What is the third derivative of 16*g**3 - 2*g - 14*g**3 + 2*g + g**r wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3\/t*t\/(t*t**2\/t)*((t**(-1)\/t)\/t*t)**45)**(-21) assuming t is positive.\nAnswer: t**1869","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 11*i**3 - 20*i**3 + 8*i**3.\nAnswer: -25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5326243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4754 from -0.3.\nAnswer: -4754.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from wuwpgwwggwppppwwwuw?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51*h**2 + 177?\nAnswer: -102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = p + 10*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 975107747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 32460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 - 5) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 3*q**2 - 29*q + 63. What is n(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1659 and 3?\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 + -45. Let j = w + -32. Let r = 4 + -7. Which is the nearest to j? (a) 0.1 (b) r (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 91*n**2\/2 + 26*n + 282. Let c(r) = 18*r + 5. Give -26*c(h) + 5*x(h).\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 7 - 3)*(-9 + 24 - 3)*(84370*d - 1 - 86762*d + 0 + 1) to the form o + m*d and give m.\nAnswer: -28704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 487 - 512 - (-219)\/9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 21*z**2 + 38*z - 5. Let j be k(-19). Which is the nearest to -2\/5? (a) -2\/7 (b) j (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 5*c**4\/24 + 4*c**2. Let l(z) = 11*z. Calculate n(l(t)).\nAnswer: 55*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a - 19?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 9 + 4*a**3 + 9.\nAnswer: 4*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*k**2*q**4 + 1605*k**2*q**3 + 1197*k**2 - 5 with respect to q.\nAnswer: 28*k**2*q**3 + 4815*k**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.40678 to one dp.\nAnswer: -18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + z + 4. Let l be f(0). Suppose -l - 2 = 2*s. Let b be -4 + s + (-2)\/(-2). Let q(t) = -t - 7. Calculate q(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6068247109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 154.8?\nAnswer: 1238.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.81789 millilitres in litres?\nAnswer: 0.02781789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12534718 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -234409\/2166 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -353 - -238. Let i = 14 - c. What are the prime factors of i?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(270))\/(1*sqrt(600)*-5).\nAnswer: 18*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 15 (b) -2\/19 (c) 22091 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143252 is divided by 35810?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1157 + 15366. Calculate the greatest common divisor of v and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2940 - -2603. Which is bigger: -339 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47756.9792 to the nearest 10.\nAnswer: 47760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/6 and -4 - (-4)\/(96\/164).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 7*r. Let v(d) be the third derivative of 0*d + 60*d**2 - 1\/12*d**4 + 0*d**3 + 0. Give v(a(m)).\nAnswer: -4*m**2 + 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**3 + 6232*v**2 - 1663168*v - 17258880 = 0.\nAnswer: -10, 356, 1212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/70 and 22\/17755.\nAnswer: 248570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 22*x - 323. Let y(m) = -10*m + 161. Calculate 4*b(h) + 9*y(h).\nAnswer: -2*h + 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 4*b + 4*b + 2*b - 2*b - 2*b + (-3 + 2 + 0)*(b + 0*b + b) + 0*b - b - b)*(12 + 1 + 2)*(-301 + 301 - 4*b) as g*b + a + t*b**2 and give t.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -703294 divided by 23\nAnswer: -30578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 10*q**2 - 5*q + 9. Give r(-10).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2506*d**2*m**2*u - 20*d**2*u + 5*d**2 - 3250*d*m**2*u - 11*d*m**2 - 2*d*m + 684*m**2 wrt d?\nAnswer: 5012*m**2*u - 40*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1426381 is divided by 762.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57630009 is divided by 282500.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*y - 17. Let h(x) = 16*x**3 - 36*x**2 + 36*x - 36. Let f(b) = -3*b**3 + 7*b**2 - 7*b + 7. Let m(o) = -11*f(o) - 2*h(o). Give m(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.138799 micrometers to kilometers.\nAnswer: 0.000000000138799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17207583 is divided by 531.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 + -22. Suppose -k = -5*h + 77. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) - (-1 + 1). Let p = -306 - -306. What is the fourth smallest value in p, 26, 4, t?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -14. Suppose -4 + 0 = 2*w. Calculate the smallest common multiple of s and 124\/6 + w\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 5 (c) 82 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277 - 1785*g**2 + 1785*g**2 + 17*g**3.\nAnswer: 17*g**3 + 277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**5\/60 - 43*w**3\/2 + 177*w**2. Let g(o) = -o. Determine g(j(n)).\nAnswer: n**2 + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*z + 57*z + 3*z**3 + (3*z + 3*z - 5*z)*(9*z - 14*z**2 - 9*z) in the form x*z + m + y*z**2 + k*z**3 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 250448.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = g + 3*k - 7, -4*k = -8. Sort 4, g, 10, 2 in decreasing order.\nAnswer: 10, 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - i**2 - i. Let m(o) be the second derivative of 7*o**5\/20 - 5*o**4\/12 - 3*o**3\/2 + 5*o**2\/2 + 3*o. Let l(x) = 6*a(x) - m(x). Is l(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = 23 + 11. Put c, -1, 10 in ascending order.\nAnswer: c, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 968*x**2 + 969*x**2 - 1946*x**2. Let c(y) = 22*y**2. What is c(a(k))?\nAnswer: 1782*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v**4\/3 - 28*v**3\/3 + 20*v**2\/3 + 11*v - 3 = 0.\nAnswer: -3\/2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*l - 20 = 0, 3*h = 2*l + 3*l + 70. Let x be (-100)\/h*(-3 - 0). Let m = -7 + 15. What is the highest common factor of x and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-9))\/(5\/60))\/(29*510\/4437)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -47*a**5\/60 + 19*a**4\/24 + a**3\/3 - 3*a**2 - 7. What is the second derivative of m(w) wrt w?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o*o\/(o*(o**(1\/10)\/o)\/o)*o)\/o)*o*o\/(o\/(((o\/(o\/o**(-31)))\/o*o)\/o)*o)*((o\/(o*o**(-2\/71)))\/o*o)**37 assuming o is positive.\nAnswer: o**(-23329\/710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-2112)\/(-7425)) - ((-18)\/(-8))\/3.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -100232*a - 902083. Give z(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**4\/4 - 2*z**3 - 2*z**2 - z + 7. What is p(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1 = 3*f, -14*f = -9*f + 5. Let q(x) = -x + 1. Let t(z) = 2*z - 4. Let d(n) = m*t(n) + 4*q(n). Let a(y) = -y. Determine a(d(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 4:04 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3623290 and 10670?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*k - 23 = 67 + 61 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119\/2 + 359\/6. Let t = -3011 - -3009. Which is the third biggest value? (a) o (b) 1 (c) 0.14 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o + 44 = 0. Let u = -19 + o. Is 12309\/55 + u\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.11 (b) 1 (c) -5 (d) -3320 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*q - 33 - 133 = 184 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 7*d**2 - 4*d + 7. Let c be 22\/5 - 9\/(-15). Let n be 2*c*(-5)\/(-10). What is the units digit of q(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8\/9)*m**(-4))\/((m*m*m**(-3\/8))\/(m\/(m\/(m\/(m\/(m**(3\/5)\/m)*m*m*m)*m)))) assuming m is positive.\nAnswer: m**(-3209\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 243.38 - 243.38. What is the nearest to -40 in r, 2, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201776 is divided by 1528.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 20. Let x(k) = k**2 + 3*k - 7. Let n(a) = -a**2 - 7*a + 14. Let o = 91 + -88. Let p(v) = o*n(v) + r*x(v). Find the first derivative of p(h) wrt h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -1000*s**3 + 3125\/2*s**2 + 0 + 1315\/6*s**4 + 1\/6*s**6 - 34*s + 12*s**5. Factor c(w).\nAnswer: 5*(w - 1)**2*(w + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 130690, 261361, 392012, 522643, 653254, 783845, 914416?\n\"Answer: -10*d**2 + 130701*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-6)**2 + (0 + sqrt(832))**2.\nAnswer: 8320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.68, 2\/5, -4, -3, -0.02 in decreasing order.\nAnswer: 2\/5, -0.02, -0.68, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/3216 and (3\/(-9))\/(3 - 119\/63).\nAnswer: 16080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -1 - (-29 + 22).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.371637 milliseconds in days?\nAnswer: 0.0000008376346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvvxbppabp. Give prob of picking 1 p, 2 v, and 1 x.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7699908.\nAnswer: 2, 3, 61, 67, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76436 divided by 194.\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, -4, -0.07, 6\/5, 4, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4 = 1, -7*i - 37*m - 16 - 11 = -40*m + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxvnn. Give prob of picking 1 x and 1 n.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3) - 0)\/((-3)\/18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 2*b**2 - 38*b + 19. Let l be j(7). Sort -14, 3, l, 2 in ascending order.\nAnswer: -14, l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -1\/4, 1\/733?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 182144*t*v - 180*t - 72*v - 530 wrt v?\nAnswer: 182144*t - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*5*(sqrt(35) + (sqrt(35) - (sqrt(35) - sqrt(1260)) - sqrt(35))))\/(1*sqrt(5)*-2 + (sqrt(5) - sqrt(80)\/sqrt(4))))**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -771 and -38944.\nAnswer: 30025824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683.0229 millilitres to litres.\nAnswer: 0.6830229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1028*h - 7172. Let n(o) = -107*o + 755. What is -48*n(s) - 5*t(s)?\nAnswer: -4*s - 380","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21703 (base 16) to base 15.\nAnswer: 2a8ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + j - 3 - 4 = 0, 2*j - 8 = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520*x - 3*x**2 - 2*x**2 + 3*x**2 - 520*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-75))\/(-48 - 4587\/198).\nAnswer: 2\/305","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37, 74, 111, 148, 185?\n\"Answer: 37*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 10*b**2 - b + 14. Let p be d(10). Let c = -65\/3 - -22. What is the biggest value in c, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25 (b) 5\/2 (c) 543\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w - 53*w + 57 = 0. Calculate the remainder when w is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 12:18 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b (base 14) to base 3.\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7099*z + 2. Let q be g(2). What is q rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 5, 4, 9, -19.\nAnswer: -19, -5, 3, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 372\/29 - 8271\/638. Which is the closest to 1? (a) 4 (b) t (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s + 6. Suppose -2*j + 3 = 9. What is the tens digit of w(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208 and 2608?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -2 + (11 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 1. Let x(q) = 0 + 3*q + 0 + 0. Give -2*n(l) - x(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8427 - 7954?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-35) - (-2016)\/30. Suppose -h - r + 91 = 0. Calculate the lowest common multiple of h and 236.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38380 rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11719 is divided by 322?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0*w**4 + 0*w - 67\/120*w**6 - 1\/2*w**5 - 65 + 0*w**3 + 2*w**2. What is the third derivative of j(r) wrt r?\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - -1123030?\nAnswer: 1122322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12282376, -12282377, -12282378, -12282379?\nAnswer: -12282380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-1)*(-3 - (-78247)\/52) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 2*t**2 + 0*t**2 - 5*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(q**3 - q**3 - 2*q**3) + 0*q**3 + 4*q**3 - 5*q**3 - q**3 + 1 - q**3 + 0*q**3 + (8*q - q + 17*q)*(-4 + 2*q**2 + 4) - 2*q**3 + q**3 - 2*q**3.\nAnswer: 46*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + y - 1. Let s(u) = -4*u**2 - 3*u - 4. Let r(n) = -3*j(n) + s(n). Let p be r(-6). Let h = 12 - 8. Sort p, h, -5 in descending order.\nAnswer: h, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -24373*y + 8116264. Determine g(333).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -103125557 divided by 3\nAnswer: -103125557\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-3 - (3 + -7) - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*a + 1208*a**4 + 2*a**3 - 1 + 1210*a**4 - 2420*a**4 to the form t*a + p + c*a**3 + z*a**2 + s*a**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + 10*x**2 - 12*x + 36. Let l be o(4). Suppose -48 = 17*b + l. Put 11, b, 3, 2 in ascending order.\nAnswer: b, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23 - (-61 - 18)) + 0 + 0. Solve -r - 100 = 52*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - -16292772.43299.\nAnswer: 16292772.50299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487*z + 249*z = -218*z - 1120 for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**2*u**4 + 86*k**2*u**2 + 7*k**2*u - 2*k**2 + 193*k*u**4 wrt u?\nAnswer: 48*k**2*u + 4632*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 515196241?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/792 and -115\/96.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-11)\/4)\/((145 + -261)\/(-464))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4875 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 67*k**3 - k**2 + 3044*k - 3045. Calculate t(1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4471?\nAnswer: 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(35)*3 - (sqrt(35) + (sqrt(105) + 1*sqrt(105))\/sqrt(3)))\/(sqrt(60)\/(sqrt(1200)*1 + sqrt(12))).\nAnswer: -99*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 14)\/1*(-3)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14943*r**2*u**3 - 2*r**2*u**2 - 2*r + 442*u**3 - 11 wrt r.\nAnswer: -29886*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 6. Let c be 3\/(-15) + (-11)\/(-5). What is the derivative of -c*b**3 - 2 + j + b**3 wrt b?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -3. Suppose p*f = -2*u + 32, 2*f = 7*f - 3*u - 27. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 891 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-27)\/18)\/(1 - 309\/300)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2 + 2 + 0 - 1 + (4 - 3 + 0)*(3 + 2 - 3))*(-3 + 5 - 3)*(-23*d**3 + 7*d**3 - 6*d**3)*(35*d - 35*d + 2*d**2 + (3 - 5*d**2 - 3)*(3 - 2 + 1)).\nAnswer: -352*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/27 and -2*(-25)\/(-10) - (-5 - 606\/6876).\nAnswer: 10314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 207396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 550*w**2 - 90*w - 720. Let x(p) = p**2 - p - 8. What is 2*n(i) - 180*x(i)?\nAnswer: 920*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 3. Let j be (3\/q + 0)*1. Let h(k) = -8399999*k + 1. Let b be h(j). What is b rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519144319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-2)\/(((-60)\/(-2))\/3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*y + 0)*(y**4 + y - y + (-2*y**2 + 3*y**2 - 12*y**2)*(y**2 + y**2 - y**2)).\nAnswer: -20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + m**2 - m**3 - 2*m**2 + m**2 - m**2 + m**3 + (1 - 2*m**2 - 1)*(2*m - 3*m + 2*m) - 12*m**3 - 21*m**3 - 25*m**3.\nAnswer: -61*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91.4 - 86.4. Let z be (-22)\/18 - (-2)\/9. Which is the second biggest value? (a) z (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 22. Suppose -p = -8 + x. Let a(g) = 9*g - 3. Let n be a(2). Solve p*d = -4*k + 5 - 3, n = -5*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14642 + 468491\/32. Calculate the common denominator of y and -179\/7896.\nAnswer: 31584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61430351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6499971 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1716*b**2*i - 293*i - 2 wrt b.\nAnswer: 3432*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 4. Let i be u(-6). Find the third derivative of -3*c**6 + 5*c**2 - 2*c**3 - 2*c**6 + i*c**3 wrt c.\nAnswer: -600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9280 by 16.\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4544595 and 4455.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 510 divide 6124527792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4 + 5. Find the second derivative of 4 - 2 - j - 2 + b*j**3 wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1205.3197 - -0.49.\nAnswer: -1204.8297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*u - 662 = -2460 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 369, -0.002, -15?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 4. Let m(d) = d**3 - 6*d**2 + 10. Is m(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + ((sqrt(1872) + 1 - sqrt(1872))*-2 + -1)*4)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8406045 is divided by 1176.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, -4\/7, 47\/10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*g + 1 = 0, -6*g + 8*g + 6 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -477753.\nAnswer: -1\/159251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -224, -980, -3040, -7058, -13688, -23584?\n\"Answer: -109*s**3 + 2*s**2 + s - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1331) + (sqrt(1331) - ((-2*sqrt(1331))**2 + -4)) + (-3 + 1 + sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 0) - sqrt(1331))*-4)**2.\nAnswer: -198*sqrt(11) + 27964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-2)*(-12)\/(-9). Suppose -3 = 3*c - r. Suppose -c*i - i = -228. What is i rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1564 by -4.\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 16 = -4. Suppose 2*o + b*o = 412. Suppose 7 - o = -6*z. Calculate the remainder when z is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132914893 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 11. Let x be y(10). Let o be 28\/(-35)*10*x. Let p = 13 + o. Solve -p*k = 16 - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 966 and 2898?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173584?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 137*r**4\/12 - 413*r**2\/2 - 581*r. Find the first derivative of h(u) wrt u.\nAnswer: 274*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f - 44*f - 30 = 0. Let y(j) = 4*j**2 - 1. Let t be y(1). Put 12, f, t in increasing order.\nAnswer: f, t, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4969 + 3394. Which is the third smallest value? (a) -2\/7 (b) l (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 297007690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 53.64164 millilitres?\nAnswer: 0.05364164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 - 69 = 122*w - 51*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 1, z: 2, x: 1}. What is prob of picking 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.09 - -15.09. Sort 3, 0.1, q, -2 in descending order.\nAnswer: q, 3, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 536, 1074, 1612?\n\"Answer: 538*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5060*k. Let t(l) = -2*l**2. Give o(t(v)).\nAnswer: 10120*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, n: 1, r: 1}. Give prob of sequence nn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-8)\/(-2)))\/(1\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - 59. Put 0, 4, t, -3 in increasing order.\nAnswer: -3, 0, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243 + 1024. Let k be (t\/14)\/(-1*(-2)\/(-4)). Let d = 848 + k. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 26*b - 575 = 0. Suppose -5*t - 425 = -5*f, b*f - 25*f = -4*t - 174. What are the prime factors of f?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-36))\/(1\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -324424 - 0.2\nAnswer: -324424.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 2, 0.2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -5*s**6\/6 - s**5 + 5*s**4 + 20*s**3\/3 - 6. Suppose p(z) = 0. Calculate z.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - h + 6 = 0, 13*h = 5*l + 12*h + 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 11*h**2 - 14*h + 26. Let l be y(12). Let b(f) be the first derivative of -2 - 12\/7*f**l - 4\/7*f**3 - 16\/7*f - 1\/14*f**4. Factor b(p).\nAnswer: -2*(p + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/10949, 5, 0.04 in ascending order.\nAnswer: -3\/10949, 0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10*10\/255*-5.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13493, -162, -0.1, 0.06?\nAnswer: -13493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/100 and -143\/1957206?\nAnswer: 97860300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3426 - 3427. Let a(q) = 110*q - 2. What is a(j)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 4 + 8 + -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-7))\/((-156)\/728). Suppose 2*w + j*a = 948, 8*w + 5*a - 1423 = 5*w. Is 42 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1079509 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5630315 and 662390.\nAnswer: 11260630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.5 + -25. Let t = m - 6.6. What is the nearest to t in -2, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39\/86 - -2\/43. Let k(d) be the second derivative of 0*d**4 + 1\/10*d**5 + 0*d**3 + 0 + y*d**2 - 3*d. Find the first derivative of k(u) wrt u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by ((-80)\/100)\/(1\/(-5)*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -9*i**2 - 3. Suppose 6*k + 8 = -m + 2*k, 0 = -k - 3. Let h(a) = 8*a**2 + 4. Let g(y) = m*q(y) + 3*h(y). Let r(n) = -n. Calculate g(r(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23155762957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84752 is divided by 657.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13\/555 - -1019\/3885. Suppose 22\/7*k - p*k**2 + 0 = 0. What is k?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 7821*m**5\/80 + 439*m**4\/8 + m**3\/2 + 1547*m**2 + 2. Let v(s) = 0. Calculate s.\nAnswer: -2\/9, -2\/869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 1775048011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 508, -5, 5, -1599, 3, 18 in decreasing order.\nAnswer: 508, 18, 5, 3, -5, -1599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 358 - 312 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -94876, -189796, -284760, -379768?\n\"Answer: -22*f**2 - 94854*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 1:57 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + (sqrt(121) - 2*(sqrt(121) - (sqrt(121) + 3*sqrt(121))) - sqrt(121)))\/sqrt(11).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33144401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64\/199 + 391\/597. Which is the closest to 0? (a) p (b) 1 (c) 1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*m*w**3 + 2*m*w**2 - m + 6*w**3 + w**2 - 3*w + 67 wrt w.\nAnswer: 84*m*w + 4*m + 36*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*q + 4, -5*q = -4*r - 1 - 30. Let f(t) = 8 - 4*t**2 - 537*t - 11 + 535*t - t**3. Give f(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*i*u**3 - 27520*i*u + 16630946*u**3 wrt i.\nAnswer: -21*u**3 - 27520*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 3*g + 3. Let a be c(-2). Let f = -3 + a. Suppose f*z = 3*h + 14098, 0 = h - 2*h - z - 4701. What is h rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5678, -5719, -5798, -5933, -6142, -6443, -6854, -7393?\nAnswer: -8078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbsbwsef. Give prob of sequence wds.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:05 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k - 19. Let b(l) = -110835*l**2. Determine z(b(y)).\nAnswer: 1108350*y**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 587*s - 3331. Determine z(7).\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1249952, 2499881, 3749810?\n\"Answer: 1249929*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (546*p - 794 - 273*p - 275*p)*(p + 2 - 4 + 1) in the form i*p**2 + t*p + h and give h.\nAnswer: 794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 36*a. Let c(i) = -7*i. Let v(q) = 21*c(q) + 4*l(q). Let k(h) = 3*h**2 + 4*h**2 + 6*h**2 - 11*h**2. Give k(v(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11213 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 3*g - 160920 = 0. List the prime factors of g\/35 - ((-37)\/(-7) + -5).\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 552 and 64?\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25636, -51294, -76966, -102658, -128376, -154126, -179914?\n\"Answer: -o**3 - o**2 - 25648*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**3 + 114*p**2 - 94*p - 18. Let b be y(-15). Calculate the greatest common divisor of b and 6825.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 433\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ndnomnindo. What is prob of picking 1 i, 1 m, and 1 n?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1963*v - 3256*v - 151281 for v.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (21 + 7 + -14 + 6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27925560 divided by 89505\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.081 + -0.419. Let w = a - 1.5. Let v = -0.3 + 4.3. What is the closest to 0.1 in w, 2\/3, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b77e - 17?\nAnswer: b767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73731.34ml to litres.\nAnswer: 73.73134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 3339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10221122 (base 3) to base 7.\nAnswer: 11252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.076 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**7\/294 + n**6\/105 + 15*n. Solve x(l) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**2)\/g)\/g**(-1\/9))\/((g\/g**(-1))\/g)**(-3\/28))\/(((g\/((g*g**(-1\/5)\/g)\/g))\/g)**17)**(4\/19) assuming g is positive.\nAnswer: g**(-145471\/23940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2197, -2823, -3451, -4081?\nAnswer: -4713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-96)\/18)\/(3\/(-36)). Suppose 0 = -5*s + 5, 0*d + l = 5*d + 4*s. Calculate the smallest common multiple of d and 7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484663 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 3:59 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.84 + 10.14. Let u = 27 + -23. What is the third smallest value in w, u, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f (base 16) in base 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*p**3 - 5646*p + p**3 - 6894*p**2 + 1420*p + 4*p**3 + p**3 wrt p?\nAnswer: -12*p - 13788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 7*s**2 - 4*s - 6. Suppose -6*j + 30 = -j. Let d be r(j). What is the remainder when 13 is divided by (d\/(-2))\/3 - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.1 rounded to 0 decimal places?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36619 * 5.\nAnswer: 183095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 7, h: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434*u - 438*u + 3160 = 0. What is the greatest common factor of 20 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z + 5. Let m be f(-4). Let w = 1 - -2. What is the greatest common divisor of w and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -181, -0.1, 1\/8, -189, -1\/14, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (23 + -30)*(-1 - 73).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 708, 573, 438?\n\"Answer: -135*q + 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-21))\/(-1 + (-27)\/(-21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -475 - 485. Suppose 2*o + 8 = 2*j, 5*j - o - 22 = 2*o. List the prime factors of -4 - (-3 - v\/j).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 297 - 126. Let k(x) = x**3 - 4*x**2 + 5. Let g be k(4). Suppose g*o + 3*r - 10 - 88 = 0, 2*o - 5*r = 33. Calculate the highest common factor of u and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.49 + -0.01. Let q = 198813\/4 + -49703. Which is the closest to q? (a) -4 (b) 0.18 (c) -0.06 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260225136 is divided by 2660?\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -445 divided by 198981\nAnswer: -445\/198981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-12) + (-2)\/3. Let t = 0.8 + -1. Let y = t + 0.1. Which is the nearest to 0? (a) -5 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5312 a factor of 1428285248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d**3 + 0 - 11\/24*d**6 + 0*d**7 + 5\/336*d**8 - 78*d**2 + 3\/2*d**5 + 0*d - 5\/3*d**4. Determine u so that b(u) = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1401707\/2055240 + 102\/9515. Let i = -3925\/114 - 4\/57. What is the common denominator of s and i?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 429?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 5*n - n)*(2*n - n + 0*n) - 11*n**2 + 0 + 0.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-5))\/((-10)\/(-400)). Calculate the greatest common factor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2589 + -2013. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(60)\/(sqrt(60)\/sqrt(6))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**3 - 3*z**2 + 11*z. Let m(h) = 6*h**3 + 4*h**2 - 12*h. Let f(l) = 3*m(l) + 4*v(l). Factor f(y).\nAnswer: -2*y*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a + a - 7 - 4*a. Suppose -3*q = 4*v - v, -4*v = -2*q + 30. Determine y(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98288 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 7*g**2 + 2*g - 8. List the prime factors of z(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Collect the terms in 4 + 11360*v - 2 - 2.\nAnswer: 11360*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 4*o**2 - o + 7. Let x be y(4). What is the second smallest value in 4, x, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - 8 - (-23 + (24 - 19)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let i = 79 - 124. Let u = -8 - i. Let q(a) = -u + 37 + 5*a. Determine o(q(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 14198499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a*q + a*v**2 + 2*a + 30053*q*v**4 - 2*q*v + 28*q + 28*v wrt v.\nAnswer: 2*a + 360636*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14519*h*p + 147772149*h + 908*p wrt p?\nAnswer: 14519*h + 908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and 18.85.\nAnswer: -301.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7\/9, 5, 2 in descending order.\nAnswer: 5, 3, 2, -7\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -0*i - 2*i. Suppose 2*c - 74 + i = 0. Suppose f + 3*b - 51 = 4*b, 5*b + c = 0. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + m + 4*m + 16, -3*k - 4*m + 10 = 0. Solve 0*p - k = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 3 + 10 - o + 2*o**3 - 7*o**2 - 4 in the form u + r*o**3 + p*o**2 + t*o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3\/19 + 112*b**2\/19 + 230*b\/19 + 116\/19 = 0.\nAnswer: -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*z - 10 + 38. Let y(f) = f**3 - 2*f**2 + 3*f - 2. Calculate y(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 18. Suppose -s*i = -9*i. Suppose 4*r + 106 = 3*g - 76, g + 2*r - 64 = i. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24040, 48696, 73352, 98008, 122664?\n\"Answer: 24656*g - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*v = -6, 0 = -x - 4*x + 4*v + 3. Suppose -3*k + x = s, 2*s = 4*k - s + 9. Solve 1 + k = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 12. Let t(d) = -d - 9. Let m be t(-7). Is m - -4*(-3 + l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 13*z**2 + 18*z - 15. What are the prime factors of m(12)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*(-60)\/450.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**4 + c**2 + 2*c + 2. Suppose 3*x - 4 = -1. Let f(o) = -o**5 + o**4 - o - 1. Let g(y) = x*m(y) + 2*f(y). Find the third derivative of g(i) wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-12))\/(2\/16*10)*420\/(-70).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 809139 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 5*o = 0. Let g(k) = k + 5. Let b be g(o). Let s = -2 - b. What is s rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62517 and 1359573.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**2\/9 - 1736*x\/9 + 58144\/3 = 0.\nAnswer: 158, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 754198909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yby when three letters picked without replacement from bnnyyyvbnyykb?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 0.4837 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 4*f + 6. Let n be o(-6). Let h be (-5 - n\/2)*-2. Suppose h*q - 4*y = 408, q + 3*y = -q + 219. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -543739 (base 10) in base 16?\nAnswer: -84bfb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.6 and 0.05.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/70)\/(2406\/8020). Find y, given that 0 + 6\/7*y - 2\/7*y**3 + g*y**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + b**2 + 23*b - 39. Let p be v(2). Solve 3\/5*d**4 - 6\/5*d**p + 0*d + 0 + 0*d**2 = 0 for d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**5 - 35*x**4\/4 - 80*x**3\/3 - 30*x**2 - 77. Find w such that b(w) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5066 and 43210.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(201\/1608).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.3 - 4. Let r be (-6)\/(-21) - (-4)\/(-14). What is the nearest to r in 2, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83841 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 15) in base 13?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 27*v**2 + 77*v**2 + 16*v**2 - 2.\nAnswer: 66*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t + 4. Let s(r) = -9*r + 7. Suppose -55*q = -58*q - 18. Give q*s(m) + 11*g(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 42. Let g = 3 - 6. Let w = -2 - g. Is a at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 6*i - 11*i - o, 4*i - o = 8. Solve 19 = 4*v - 0*v - i*p, 3 = v + p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + 19. Suppose -3*v + c + d = -3*c, -5*v = -2*c - 102. What is the units digit of (-3)\/12 + 85\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - u - 9. Let s be y(4). Suppose s*h - 3*z - 379 = -h, 0 = 3*z + 15. List the prime factors of h.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pipi when four letters picked without replacement from {w: 1, n: 2, i: 6, p: 4, a: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35016*s - 2705*s - 10 - 5 + 306296*s + 12.\nAnswer: 338607*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - 4413 + 4*p - 12*p**2 - 17*p**2 + 11*p**2.\nAnswer: -18*p**2 - 4413","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -40 + -1 + -5 + 4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(21)\/(-3*sqrt(3))).\nAnswer: -2*sqrt(7)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2080*c*r*y**2 + 7315*c*y - 24*r*y**2 + r*y + 5*y**2 with respect to r.\nAnswer: -2080*c*y**2 - 24*y**2 + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 12063408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*o. Suppose o = 31*j - 28*j - 24. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2460*g + 108252. What is j(44)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4085 + 13113. What are the prime factors of n?\nAnswer: 2, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6*b = 0. Suppose 9 = w - 4*h - 3, b = 4*w + 3*h - 10. Solve 5*g + t = 11, -4*g - w*t + 2*t = -4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*1*((-145)\/493)\/((-2)\/17).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*k - 80, -k = 2*k + 5*o + 92. Let t(l) = -2*l**2 + l - 2. Let h be t(-2). Let p = h - k. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.7 + 30.4. Which is the closest to -0.1? (a) g (b) 2\/9 (c) -2 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213297939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 222\/25 - 1811\/200. What is the common denominator of a and (-28)\/(-40)*(-29815)\/(-938)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106 + 114 - (101 + -142).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24042.64ml to litres.\nAnswer: 24.04264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -12. Let t be ((-2 - -5) + -5)\/(-1). What is the closest to t in -6, 2\/9, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 6, -3*k + 8*k = 5*c - 5. Suppose 5*g - 2*g + 15 = 0, -2*m = -c*g - 15. Suppose m = 2*t + 62 - 172. What is t rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(28)*1 + sqrt(7) - (-4 + sqrt(84)\/(sqrt(24)\/sqrt(2))).\nAnswer: 2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7832909 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/11 - 18 - -1?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 90 = -5*m. Let g(n) = -12*n - 44. Let d be g(-6). What is the lowest common multiple of m and 3\/(-7) + 124\/d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 49897*-0.62\nAnswer: -30936.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24710 + 24710.65676. What is i rounded to 2 dps?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -43\/2, -0.13, 4, 77?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 11*a**2 - a + 9*a**2 - 8*a**2.\nAnswer: 11*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + g**2 - 1. Let v be t(-2). Let x(k) = 2*k**2 - 3*k + 2. Let j be x(1). What is the nearest to 0.3 in -1, j, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w**3 - 19*w**2 - 2*w + 19. Suppose -23*s - 140 = -33*s. Let y(o) = 32*o**3 + 94*o**2 + 10*o - 94. Let m(z) = s*g(z) + 3*y(z). Factor m(v).\nAnswer: -2*(v - 8)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x**2 - 3*x - 1. Let g(a) = -a**2 - 1. Let i(k) = 3*g(k) + h(k). Calculate the lowest common multiple of 3\/(-6) + 10\/4 and i(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -761, -5, 5, 2\/15, 2\/3, -594?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6349.4 + -6349. What is the third biggest value in k, -0.2, 3, 2\/9, -1\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 989 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: Is 865501321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**3\/6 + 11*g**2\/2 + 3*g. Let q be i(8). Solve 2*j = v - q, 8*j = v + 3*j - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - i**2 + 2*i + 2. Let l be d(-1). What are the prime factors of (-404)\/(-4) + l\/1?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5386 = 4*u + 5350 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49782 is divided by 204.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccv?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6063319, 6063329, 6063339, 6063349, 6063359?\nAnswer: 6063369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(280) + (sqrt(280) - (sqrt(280) - (sqrt(280) + -2*sqrt(280)))))*3 + sqrt(280))\/(sqrt(110)\/(sqrt(11)*1)))**2*-6.\nAnswer: -318 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6500)\/(-1820))\/((-16)\/28).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37647563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h - f, 8 = 3*h + 3*f + 2. Suppose -j = -2 - 1. Let o(a) = 0 - 3*a**3 - 3 + 4 + 4*a**j + a. Calculate o(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -48*r - 53. Let p(q) = -10*q - 8. Let l(j) = -c(j) + 5*p(j). Let g(n) = -n**2 - 89. Give l(g(y)).\nAnswer: 2*y**2 + 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 + 2000*z**2\/3 + 1336*z.\nAnswer: -2*z*(z - 1002)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(8\/5)\/n))\/(n\/(((((n**8\/n)\/n)\/n)\/n)\/n))*(n**5)**(1\/13) assuming n is positive.\nAnswer: n**(181\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -319 + -1. What is w rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -g - 0, 5*m + 4*g = 115. Suppose 0 = 4*s - m + 15. Suppose 4*y - 24 = -2*j, -5*y = -0*y - 25. Put j, s, 5 in decreasing order.\nAnswer: 5, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 2885*i - 1445*i - 1445*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158941, 317961, 477059, 636235, 795489, 954821, 1114231?\nAnswer: 1273719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79105 - 959.4.\nAnswer: 78145.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from {x: 1, j: 3, h: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/9 - 788*q**4\/9 - 94532*q**3\/9 - 1068824*q**2\/3 - 1587450*q - 1832436 = 0. Calculate q.\nAnswer: -171, -47, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1288*k - 695*k + 1000 = -212*k + 8084 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r = -56*r. Let o(q) = -q + 6. Let m be o(8). Sort m, 1, r, -5.\nAnswer: -5, m, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5543646?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1)\/(2\/76). Suppose -5*h = -4*x - r, -26 = -3*h - 0*x + 4*x. Let m = h - -5. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 210*n**3 + 7*n + 9. Let o(r) = -104*r**3 - 3*r - 4. Give -9*o(q) - 4*t(q).\nAnswer: 96*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 7649806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8975 and 266378?\nAnswer: 6659450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -1.1 (c) -2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - (-86)\/8. Let i be (-9)\/((-54)\/(-4))*-3. What is the first derivative of -j*y**i + 1 + 2 + 10*y**2 wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 22*a - 111. Determine v(16).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 17, 0.01, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven tenths of a kilogram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 2, -1\/87, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 9*t - 12*t + 5, 0 = -3*i + 2*t - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(264) + sqrt(264))\/(2*sqrt(1584) + sqrt(1584)))\/(-6*(sqrt(108) + sqrt(108) + (sqrt(108) - -3*sqrt(108))*6 + sqrt(108))).\nAnswer: sqrt(2)\/5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3928?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8204 = -6*t + 12916. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2446 and 5793351?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.281017 (b) -3 (c) 3 (d) 0.1 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f + 0*f**2 + 5*f**2 + 20*f - 9*f.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 - n**4 + 15*n**4 + (0*n**2 - 5*n**2 + 3*n**2)*(2 - 2 + 4*n**2).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 146003, 291973, 437933, 583877, 729799, 875693, 1021553?\n\"Answer: -w**3 + w**2 + 145974*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -933 - -1455. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1335*v**2 - 1397*v**2 + 10528*v**2 + 4006*v**2 to the form k*v + z + l*v**2 and give l.\nAnswer: 11802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -470, -468, -466, -464?\n\"Answer: 2*l - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4560 + -4400. What is the remainder when r is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + 88*s**2 - 24*s + 201. Calculate v(44).\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6 = -4*z. Put z, 3, 5 in descending order.\nAnswer: 5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/4, 1, 2\/69, -1\/2, 5.\nAnswer: -1\/2, 2\/69, 1, 7\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -14*p**3\/3 - 610*p**2\/9 + 1738*p\/9 - 170\/3 = 0.\nAnswer: -17, 1\/3, 15\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -341 + 597 - 5*l**2 + 739 - 5727*l**3 wrt l.\nAnswer: -34362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 6, j: 1, i: 1, h: 2, p: 2}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 86*z + 301. What is v(88)?\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 102. Let q be (-400169)\/(-3 - d\/34). Let l = -12902873 + q. What is l rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 139*c + 58. Determine v(-1).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = v - 4*n - 51, -v + 5*n = -60. Suppose 5*j + 0*r - 2*r = 69, 5*r - v = -2*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-42))\/((-8)\/15)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*t**2 - 30*t**2 + 2 - 2 in the form h + w*t + v*t**2 and give v.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 16*d**2 + 35*d + 27. Let v(w) = -12*w - 30. Let a be v(-4). Let y be b(a). Let f be 18\/(6*(-3)\/(-9)). Is f at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 4*u**2 - 2*u + 2. Let v be g(-3). Let q be 141 - 0\/(3 + v). Suppose 2*d + 0*d - 60 = 3*l, 3*l = 5*d - q. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 18*l + 3 = 2*y, 4*l - 5*y + 27 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 596143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 3938 in increasing order.\nAnswer: -2, 4, 3938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 137.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -291 - -417. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -aa79a - -5?\nAnswer: -aa795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-51)\/(-7) + 6\/(-21). Let y = i - 5. Solve 2*h**4 - 5*h**2 + 3*h**2 + 0*h**2 + 0*h**y = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4954896*u. Let s(b) = -66*b. Give s(a(c)).\nAnswer: 327023136*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -123*k**3 - 5*k**2 - 5*k + 10. Let h(z) = 61*z**3 + 3*z**2 + 3*z - 4. Let t(p) = 5*h(p) + 3*s(p). What is the first derivative of t(r) wrt r?\nAnswer: -192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4 - 600*y**3 - 44998*y**2 + 600*y + 45000 = 0. Calculate y.\nAnswer: -150, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -8. What is the greatest common factor of w and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*q - 10 + 50 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8400223 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 21*l**3 - 2*l + 1. Let i(u) = 6*u - 52. Let q be i(9). Suppose 0 = 2*n - 3*h + 10, -2 = -q*n - 2*h + 8. What are the prime factors of k(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 30 = 9*d. What is the remainder when d is divided by 5\/((-10)\/(-8)) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -367206, 4, 12, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/2551 - 181137\/20408. What is the common denominator of b and -67\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52.05 + -53.85. Which is the nearest to z? (a) 3\/2 (b) 0 (c) 6 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*x + 20 = -7*x, 2*p - 2*x - 30 = 0. Calculate the least common multiple of 12 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3\/7 + 981*f**2\/7 - 5970*f\/7 + 7992\/7 = 0. Calculate f.\nAnswer: -333, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61 - 59*u + 61)*(-2 + 0 + u + 0) to d + j*u + i*u**2 and give j.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 260527970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from fyiaqyiiqfqifayoy?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 6*r**3 - 206*r**2 + 1802*r - 578 = 0.\nAnswer: 1\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23497*c + 2178 = -23563*c for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/(2772\/24) + (-57)\/(-11). Put 1\/5, x, 0, 13\/6, -2 in descending order.\nAnswer: x, 13\/6, 1\/5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 33 = -77. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*n + 135 - 3 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*p + 0*p - 12 = 0, 5*a = -2*p + 14. Suppose -5*g - 3*n = -54 - 9, 0 = -a*g - 3*n + 27. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**2 + 2*l**2 + l**2 - 3*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1088 is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 89*a + 16. Let z(q) = -6. Calculate -d(t) - 4*z(t).\nAnswer: -89*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6852 is divided by 6034?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8235\/28847 + 1\/4121. Which is the nearest to j? (a) -0.5 (b) -13\/4 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-10)\/10*((-6)\/2)\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - ((3 - 17) + -101 + 123)) + (0 - -113).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*u - 5*u. Let l = -27 - u. Let k be l\/12*(-88)\/(-3). Calculate the greatest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o - 4. Suppose -o*p + 5*d = -15, -p + d = -3*d - 9. Put 2, 2\/11, p in descending order.\nAnswer: p, 2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 - 503 - (7 + -1 + -9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-40)\/12)\/(3 + (-24)\/9). Let v = 98 - n. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -855)*(369\/(-45) + 9). Let y = f + 687. Suppose -x + 40 = 3*x. Solve y*w + 7 = -2*t, -2*t - t - 5*w = x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3.4 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 13*f - 24 = 15*f, 16 = -4*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10305877 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {u: 2, a: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-31)*n)\/n*n*n\/((n*(n**(-2\/31)*n)\/n)\/n)*n)**(8\/15) assuming n is positive.\nAnswer: n**(-1336\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 453\/1661 + (-1229)\/(-11). Let t be (26 + -2)\/((-6)\/(-4)). Calculate the highest common divisor of r and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -41?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*x + 3178, x - t - 2*t - 787 = 0. What are the prime factors of x?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5169, 5169, 5161, 5139, 5097, 5029?\nAnswer: 4929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1260)\/98)\/9*7)\/(12\/(-30))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1584 - 1586. Sort -5, s, 0.715 in decreasing order.\nAnswer: 0.715, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10087.219 rounded to the nearest one hundred?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + -1 + sqrt(52) + 0 - (1*sqrt(208))\/sqrt(4))*-6)**2.\nAnswer: -144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6608860 rounded to the nearest ten thousand?\nAnswer: 6610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 73143221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.071 and 15?\nAnswer: -1.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457744 = -3107*v - 3698*v + 2362*v - 2389*v for v.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {p: 9, m: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1870 and 1020.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, -11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 2*w + x - 7, -261 = -5*w + 2*x. Calculate the smallest common multiple of w and 21.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49866 divided by -24933.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1931712860 divided by -1\nAnswer: -1931712860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/2 + 429129*t**2\/2 + 858255*t\/2 + 429127\/2.\nAnswer: (t + 1)**2*(t + 429127)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*d - 2*d + 39, 3*n - 41 = -4*d. Suppose 121 = -29*q + 34. Let x(w) = 2*w - 1. Let g(a) = 4*a - 2. Give n*x(i) + q*g(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 320293199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6046 is divided by 5093?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(1418 - 1438 - (87 - -1))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(17\/34). Let d = 8 - 5. Let i = d - 3.5. Put i, -3, v in descending order.\nAnswer: i, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.7 less than or equal to 685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 90584 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78454, 1, 5, -1 in descending order.\nAnswer: 78454, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -5, -2\/5, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:54 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1820)\/156*(-42)\/49. Let k(z) be the first derivative of 11*z**2 + d + 0*z**3 + 0*z**4 + 2\/5*z**5 + 0*z. What is the second derivative of k(w) wrt w?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 35. Is -9 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = b - 0*b. Let r be 2\/b + (-76)\/(-20). Calculate the remainder when (r\/6)\/((-5)\/(-90)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + r = -12, 90*j + 4*r - 18 = 88*j. Let q(g) = g**3 - 12*g**2 + 8*g - 4. Give q(j).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 8049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ba - 0?\nAnswer: 2ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3)*(-6)\/(-2). Let t(w) = w**2 - w + 1. Let f be (-5)\/25 - (-22)\/10. Let o be t(f). Solve -i*n - o = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 15*d**2 + d**2 - 7 + 7. Let o(v) = -v**2 - 2*v**2 + 3*v**2 + 8*v**2. Calculate o(k(j)).\nAnswer: 2048*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 + -27.95. Let p = 28.43 + c. What is p rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqfttiqiqi. Give prob of sequence iq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 7. Let u = 27 + o. Let p be (u\/5)\/((-1)\/(-5)). What is the greatest common divisor of 14 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165309\/22 - -7511. Find the common denominator of 2*1 + (-231)\/(-6) and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807 (base 10) in base 6?\nAnswer: 12211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16542 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkrtdvkoo. What is prob of picking 1 r, 1 t, and 1 k?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.2 and -0.76?\nAnswer: 2.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 5*w + b + 28, 4*w - 27 = -7*b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**5\/20 - 3*c**4\/4 + 9*c**3\/2 - 7*c**2\/2 + 5. Let m(w) be the second derivative of f(w). Find u such that m(u) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l**3\/2 - 11002*l**2 + 154690*l + 25032 = 0.\nAnswer: -894, -4\/25, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 11)*(2 - 3 - 1)*(-7*y**2 + 834*y**2 - 224*y**2).\nAnswer: 10854*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518051881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 10. Let s(d) = d**3 - 6*d + 4. Let f be s(4). Let b be f\/28 - 15\/(-35). Solve -4*a - 2 = b*c, 4*c + u*a + 1 = 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 20 = -y. Let c(m) = -2*m + 2. Let i(t) = 1 - 10*t + 12*t - 4. Let h(k) = y*c(k) - 3*i(k). Differentiate h(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -275*w**2 + 278*w**2 - 15*w + 2 - 3. Let o(r) = 4*r**2 - 14*r - 1. Let m(x) = 2*o(x) - 3*q(x). Let z be m(17). Let u(j) = 6*j + 1. Determine u(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*w - 100, -5*w - 3 - 47 = -v. Suppose -v = 2*i - i. Let j be (-1 - 615\/i) + (-4)\/(-10). Calculate the highest common factor of j and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 57787.36 minutes?\nAnswer: 3467241600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -300001*k**2 - 2*k - 1. Let t be x(-1). Round t to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2)*(10 + -13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 0, -1612, 209?\nAnswer: -1612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5*t - 1)*(-58*t + 5052*t**2 - 52*t + 231*t - 61*t - 60*t) to the form k*t**3 + r + p*t**2 + s*t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -70*z**2 - 3*z - 3. Let k(t) = t**2 - t - 1. Let j(f) = 3*k(f) - s(f). Let r(y) = 0*y - y - 6*y + 8*y. What is r(j(g))?\nAnswer: 73*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.5 (c) -1 (d) 50 (e) -9\/8 (f) -1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + (24 - 26 - (0 + -8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*s*y + 11*h*s + 5*h*y*z + 72*s*y + 4*y*z wrt h.\nAnswer: -s*y + 11*s + 5*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + -1*sqrt(99) + sqrt(99)))\/sqrt(9) + sqrt(176) + 4)**2 - (sqrt(1331) + -1*sqrt(1331) - (1*sqrt(11) + 1)**2).\nAnswer: 34*sqrt(11) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1947631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 20 = 4*m + y, 3*m - 4*y - 2 = 0. Solve -7*u = -u - m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120665773373 less than -0.04?\nAnswer: -120665773373.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 6*o - 7. Let k(z) = -1. Let f be (1\/2)\/(0 + 4\/(-8)). Let v(g) = -g**2 - 5*g - 12. Let m(i) = f*v(i) + 6*k(i). What is -5*d(q) - 6*m(q)?\nAnswer: 4*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -13*p. What is o(5)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.5 - -8.1. Sort b, 0.2, -4, 5 in increasing order.\nAnswer: -4, b, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145 + 145 - 14*q + (2*q + 3*q - 4*q)*(1 - 1 - 1) + q - q + 2 + q to h + p*q and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5200*x + 5197*x + h = -9, 2*h + 22 = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g - 13. Let m be w(-3). Suppose -m*l + 16 = 1. What is the remainder when 15 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 206*b**2 + 9*b. Let d(y) = 9560*y**2 - 9663*y**2 + 2 - 2 - 2*y - 2*y. Let s(v) = 9*d(v) + 4*k(v). Let r(f) = -3*f**2. Calculate r(s(m)).\nAnswer: -31827*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 2*u - 3*u + (-2*u - u - 2*u)*(-3 + 2 + 3).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 12:14 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 17*u. Let y(k) = -127*k**2. Calculate y(l(z)).\nAnswer: -36703*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*t = -149*t + 1056 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -9*v**5\/20 + v**4\/6 + 4*v + 8. Let l(y) be the first derivative of o(y). What is the third derivative of l(w) wrt w?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3726782923 to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(245) + 1)*2 - 2*(1 + sqrt(245)) - (sqrt(245) + 0 + 4 + sqrt(245)*-1 + -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 1. Let y = -34 - -36. Suppose -y*u + 376 = 132. Let s(f) = -125 + f + 0*f + u. Give 3*c(b) - s(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 54*b - 1571. Let u be w(-75). Let c = 1 + 3. Suppose -2*v - 16 = c*g - 0*g, u*v = -5*g - 17. Calculate the remainder when 8 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:34 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (51\/459)\/(2 + (-17)\/9). Suppose 4*n = 2*n + 5*k + 19, 3*k = 2*n - 13. Suppose -j = 5*g - 3*i + 10, 3*i = -4*g + n. Which is bigger: g or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p - 72 + 2*p**2 + 45 + 20. Suppose -r + 2*r = -5. Let j be i(r). Is j greater than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g. Let v = 20 - 16. Let f(j) = -4 - v*j**2 - 6 + 10. What is d(f(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 75292402 at most as big as 75292404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15041 + 16?\nAnswer: -15024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (3 - (5 - 6 - -10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3790?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*n + 138*n = -4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2422 + 1?\nAnswer: -2421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1688*m**2 + 1928*m + 9. Let q(p) = 5908*p**2 + 6748*p + 32. Let t(y) = -9*q(y) + 32*z(y). What is the second derivative of t(d) wrt d?\nAnswer: 1688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -614 and 0.17.\nAnswer: -104.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 450504 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -b + 2*b - 32, 0 = -5*n - 2*b + 37. Suppose 0 = -2*u + 2*i + 10, 0 = -u + 2*i - 1 + n. Sort -1, u, 0 in decreasing order.\nAnswer: u, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -28*h. Let y(t) = 16*t**2 - 7*t. Let x(n) = 7*n**2 - 3*n. Let q(c) = 14*x(c) - 6*y(c). Give q(o(k)).\nAnswer: 1568*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 14 = 7. What is the derivative of 1 - 4 - 20*u**h + 4 + 3*u**3 wrt u?\nAnswer: -51*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 42. Suppose m - 45 = -3*i, 2*i - 39 = -i - 3*m. Let k be a(i). Solve -k = -8*q + 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 42. Suppose s + y*s - 218 = -5*q, -177 = -3*s + 3*q. Find the second derivative of -z**4 + z - 57*z**3 + s*z**3 wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.94 + -0.06. Let o = -41\/8 + 795\/152. Which is the third biggest value? (a) f (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47453526?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656 = 38*u - 79*u. Solve -3*t = -u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -204, -196, -168, -114, -28, 96?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245426791.\nAnswer: 245426791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjjhjjjhjhjjjjhjjj. What is prob of picking 2 h and 1 j?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.00281574 - -0.0028. What is a rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8852427719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkxk. What is prob of sequence kxxk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 11:17 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*l = 8. Let q be (l - (-1 - 2)) + 56. Let s = q + -39. What is the remainder when 29 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2. Let r(n) be the first derivative of -n**5\/60 - n**3 - 4. Let d(p) be the third derivative of r(p). Calculate s(d(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 4:15 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, -406, -4 in decreasing order.\nAnswer: 6, 2, -4, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {e: 1, i: 1, y: 4, o: 1, r: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4294*c + 573. Is f(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 168751, 168768, 168785?\n\"Answer: 17*l + 168734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/22407 and -101\/14784.\nAnswer: 1434048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = d + 2*d. Let a(p) = 7*p**2 - d + 1 - p + 1 + 0. Calculate a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -1 - (50 - 54)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.1162 + -69?\nAnswer: -123.1162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 321 + -213. Suppose 2*v + 14 = 6, 3*x = -v + 32. What is the greatest common factor of t and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a = -6*a - 248 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10*k**3 - 2*k**2 + 3*k - 1. What is i(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12804 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (1 - 3))*-18. Let f = h + -15. Suppose -s = -13 + f. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100111100111011111111 (base 2) to base 9\nAnswer: 2387676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 8. Let i = -13 + 32. Suppose -8*o = 37 + i. Calculate m(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 i when four letters picked without replacement from ikttkiiktttiwri?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 834 + 607?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a milligram in micrograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4 - 24*f**3 - 216*f**2 - 480*f - 336 = 0. Calculate f.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = w - 8, -7*w - 25 = -9*w + 5*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13097788 divided by -179.\nAnswer: 73172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 323440?\nAnswer: -323433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/3)\/c*c*c*c)\/(c**(3\/5)\/c*c)*((c\/c**(-2\/7))\/c*c)**21 assuming c is positive.\nAnswer: c**(446\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709*t + 5376 + 5368 - 10744 + 2*t**2.\nAnswer: 2*t**2 + 709*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 19*p + 73. Let s be w(13). Let q(d) = d**3 + 4*d**2 + d - 3. Let g be q(-3). Let u(m) = 0*m - m + g - 5. Determine u(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0160215 take away 7?\nAnswer: -6.9839785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 9400 = -35*x. Let v = x - -366. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-4) + (-2)\/8. Let o = -11 - -20. Suppose c*f + 2*n - 17 = -3*f, o = 2*f - n. Solve -2*k = -5*m - 10, 5 = -5*m + 5*k - f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103711 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*b + 2 = -4*b, 0 = 4*f - 3*b - 87. What is the greatest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/33*-35 - -3)*(-1704)\/1136.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 15.8?\nAnswer: -17.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46269.\nAnswer: 3, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -157*d - 12480. What is l(-79)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**2 + 27*r**3 - 7 - 47*r**3 + 95*r**3 wrt r?\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1044 is divided by 260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -59 and 0.11149.\nAnswer: -58.88851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 36 + 1422. Let w = -397 + 92. Let b = f + w. List the prime factors of b.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x + 14. Let t be h(6). Put 1, -5, t in increasing order.\nAnswer: -5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125185 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 10264.\nAnswer: -5\/10264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631*t = -95*t - 13936 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 10:31 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b*i**4*p + 1148*b - 36*i**3*p - 49674*i**3 + 1325*i**2 - p wrt i.\nAnswer: -72*b*i*p - 216*p - 298044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*o - 75*o + n + 68 = 0, -237 = 7*o + 4*n for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 894*s**2 + 48543*s + 646140.\nAnswer: 3*(s - 220)*(s - 89)*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4\/5 (b) 0.5 (c) -889\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6 - (-602)\/(-6). Let k = 168 + u. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.167 - -8.167. What is the smallest value in 0, 57, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 5*g - 1. Let d be q(6). Suppose -2*s - 4*r = -30, -3*s = -0*r - d*r - 56. What is the common denominator of -121\/10 and (s - 4)\/(2\/(-7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 - 6*i**2 - 30*i. What is f(-3)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4825013256?\nAnswer: 2, 3, 7, 73, 131143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4073716.858 - 4079195. Let r = c + 5485. Let v = r - 6.7. What is v rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1386)\/(-231)*32\/(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29738 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 79*x**2 + 549*x - 34. Calculate r(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1\/5 (c) 235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236\/1*(8\/20)\/(((-1064)\/(-95))\/(-7)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 428*d + 55*d**4 - 215*d - 213*d + 20*d**2 - 3 wrt d?\nAnswer: 1320*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 817\/20?\nAnswer: 817\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 1 + 1)*(-2 - 2*x + 2) - 4*x**2 - 107*x**2 + 31*x**2 - 2*x**2 + 3*x**2 + 0*x**2 + (4*x + 0*x - 2*x)*(-5*x + 4*x - x) + x**2 + x**2 + 0*x**2.\nAnswer: -85*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 8) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 10:27 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:06 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43431 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107691493?\nAnswer: 7, 13, 1183423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -62601811500 and 0.8?\nAnswer: 62601811500.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10782003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -2*m. Let y(p) = 8*p + 6. Let i(f) = -4*f - 3. Let z(b) = m*i(b) + 3*y(b). Give z(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81215390.\nAnswer: 2, 5, 43, 67, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-384)\/(-40))\/(-3)*5*-46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5631.45 - -5473. What is f rounded to 0 dps?\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 7*q - 27318, 0 = -4*q - 142 + 126. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 853146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 + -74. Let k(o) = 7*o + 13 - 1 + 11*o**2 + 2*o**3 + 0*o**d + 0*o**3. Let x be k(-5). Solve 2*v = -x*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 66 = -4*n, -5*z + 105 = -n - 4*n. Let m = -9 - -19. Suppose -2*p - m = 0, 3*b - 2*p = 4*b. What is the greatest common divisor of b and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33 - 25839?\nAnswer: -25872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1492*b*f - 704860*b - 219*f**2 wrt f.\nAnswer: -1492*b - 438*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -19*h - 11*h + 29*h + 1. Suppose 6*x - x = -2*i + 19, 0 = 2*i - x - 1. Suppose -i + 62 = -12*o. What is f(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 13, 36, 79, 148, 249, 388?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -783 - -779.09. Let q = c + -0.09. Let u = 435 - 433. What is the smallest value in q, -8, u?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239304497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 239224, 234904, 230594, 226300, 222028, 217784, 213574?\n\"Answer: d**3 - d**2 - 4324*d + 243548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67 - 3022*y - 30 + 97 to z + h*y and give h.\nAnswer: -3022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 123 + -131 + (18 - -2) + 9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-62)*(-15)\/(-201). Let k = q - 213691\/49848. Calculate the common denominator of -83\/24 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p + 48 = -4*f, 2*f = -4*p + 96. Suppose -j = 2*u - 101, -4*j - p = -4. 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: Calculate the remainder when 4673672 is divided by 3689.\nAnswer: 3398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 46*y + 104. Let t be m(-1). Solve 0 = -2*u - 4*q + 14, 0 = t*u - 63*u - 5*q + 25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 6848009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 16. Suppose 3*x = -4*b + 22, -4*b = -l*x - 2*b + 2. Find the second derivative of -d - 2*d**3 - x*d + 4*d**3 wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37406.5011 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 505530 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is aca5 (base 13) in base 10?\nAnswer: 24133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 1, -4 in decreasing order.\nAnswer: 1, -4, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -5 (c) -260 (d) 1 (e) -4 (f) 0 (g) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 117 = -6*v + v, -13*v + 3*w + 45 = -4 + 22 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*d = -3*x - 12, 0 = 2*d - 4*x + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22595 is divided by 1047.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 13, z: 5}. Give prob of sequence ppp.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4 + sqrt(539)*1 - (sqrt(539) + sqrt(539) + -1 + 4))*6 + -2)**2.\nAnswer: -168*sqrt(11) + 19408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-9))\/((-14)\/273*-13)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(2\/(-3)*9\/6). Solve 4*g + b - 4 + 16 = 0, l = 2*g + 2*b + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321102231 (base 4) to base 8\nAnswer: -712255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101 + -100101?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, x: 7, y: 1, c: 3, q: 2, t: 3}. Give prob of sequence xyt.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 18*g**2 - 34*g + 33. What is x(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25, -54, -151, -352, -693, -1210?\n\"Answer: -6*w**3 + 2*w**2 + 7*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3144132 (base 5) to base 3.\nAnswer: 2200202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 c when four letters picked without replacement from {t: 3, c: 17}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43, -157, -347, -613, -955?\n\"Answer: -38*u**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 m when four letters picked without replacement from llslmlsmlm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73183 - -805071\/11. Suppose 0 = -0*b + 3*b - 12. Is v < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - u - 26 - 1 = 0, 0 = -g - 5*u + 17. Let k = 265 + g. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -299, -301, -301, -299, -295, -289?\n\"Answer: p**2 - 5*p - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -32 - 343*u**2 - 13886*u**2 + 32. Let v(n) = n**2. Give v(o(l)).\nAnswer: 202464441*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + sqrt(1008) + sqrt(7))**2.\nAnswer: -7122 - 312*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 - 522 = -5*o. Let y be (0 - 5)*(-392)\/(-10). Let l be 1\/(-3) + y\/(-12). Calculate the highest common divisor of l and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -20*v**6\/3 + 53*v**2\/2 + 11. What is the second derivative of u(k) wrt k?\nAnswer: -800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 2*z + 5*z + 435 - 368 = -36*n, -5*n - 4*z - 123 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - d**3 - d + 6 + 26*d**2 - 24*d**2. Let m be p(3). Solve -5*j + 8 = 3*n, 5*j + m*j = -2*n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8 - 1 + 7 - 13*g. Let x(i) = -5. Let w(r) = 5*p(r) + 15*x(r). Let o be w(-9). Round o to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + sqrt(405) + sqrt(405) + -4)**2 - ((2 + sqrt(245) + -2)**2 + sqrt(245))*-3.\nAnswer: -231*sqrt(5) + 2404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ab62 + 4?\nAnswer: 3ab66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1578 = -12*u - 1482 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1320*i*m**4 - 13*i*m**2 - i*m - 288703 wrt m?\nAnswer: 15840*i*m**2 - 26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1. Let y be (8 - 5) + -1*7. Let v be 0\/((-1)\/(y\/8)). Solve v = -2*t + 1 + a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/70*4998\/1428. Let o(b) be the first derivative of 0*b**2 + x*b**5 + 0*b - 8\/3*b**3 - 19 + 0*b**4. Find the third derivative of o(i) wrt i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 613\/401 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9452 (b) -3 (c) -199\/3 (d) 2\/17 (e) 4 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-8 + -10)) + -10 + -3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6 + 8*p - p**2 - p - 2*p. Let r be j(6). Suppose -5*b + 0*b + 5 = r. Put -5, b, -2 in increasing order.\nAnswer: -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2603.2 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5 - 17946*n**4 + 26802135*n**3 + 108573204*n**2 - 1607276916*n - 7739754336 = 0. What is n?\nAnswer: -6, 8, 2993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 114\/18 - (-13 + 6). Let p(h) = 4*h + 2. Let q be p(-4). Let i = m + q. Which is the fourth biggest value? (a) i (b) -0.4 (c) 5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:45 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -1951\nAnswer: -156.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 27*l**3 - l + 214*l**2 + 3*l - 3*l + 402*l**2.\nAnswer: -27*l**3 + 616*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3070 = 19*t - 21*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 4*x + 585 - 593, -2*x - 8 = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*t - 10*t + 3*t**3 + (0*t**2 - t**2 + 2*t**2)*(-2*t + 0*t + t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faammvfaaavv. Give prob of sequence af.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 0)*-19*21\/(-399).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11061, -44069, -98845, -175197, -272933, -391861?\nAnswer: -531789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wurppwwwurwwwrvgw. What is prob of picking 2 u, 1 g, and 1 w?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413806440 divided by 2.\nAnswer: -206903220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 = 19*q - 608 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {h: 10, s: 2, j: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 k when four letters picked without replacement from dkddddddddddddd.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 1 = -16. Suppose 0*z = -v*z. Solve z = b + 2 - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 - -1) + (-17 - (37 + -54))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -4, 38 in increasing order.\nAnswer: -4, -3, -2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Suppose -10 = 3*k + x, 2*k - q*x + 13 = 1. Let v = -279\/2 - -135. Is k bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 0*z - 6 + 0*z**6 - 3\/70*z**7 + 7\/2*z**3 - z**2 + 0*z**5 + 0*z**4. What is the first derivative of u(q) wrt q?\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*d, -4*q - 37*d + 3 = -42*d - 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 77 = 3*u - 197, 0 = u - 5*t - 98. Let f = 15 - 11. Suppose -x + 40 = f*x. What is the highest common factor of x and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or 5961?\nAnswer: 5961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 4)*(i**2 + 0*i + 0*i) - i + i + 4*i**2 + (2 + 3 - 3)*(2*i - 4 + 4)*(0*i - i + 3*i) as v + c*i + a*i**2 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/3, -5, -0.00867, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 605*h*w**3 - 26*h*w - 19*w wrt w.\nAnswer: 3630*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -18*g**2 - 2355*g - 1578. Let j(k) = -21*k**2 - 2352*k - 1580. Let u(o) = 3*j(o) - 4*q(o). What is r in u(r) = 0?\nAnswer: -262, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = d - 0*d, i + 11 = -3*d. Suppose -3*t - 2 = -i*t. Factor 5*b + 0*b - 12*b**t + 12*b**4 + b**3 - 2*b - 4*b**3.\nAnswer: 3*b*(b - 1)*(b + 1)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v + 1. Let h(f) = -3*f. Let o = 5512 + -5515. Determine o*k(d) + 3*h(d).\nAnswer: 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -783, -2737, -6555, -12861, -22279, -35433?\nAnswer: -52947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.044 in -5, -1\/3, 3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + 1 + -1 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 4*y**2 - 3*y + 42. Let r(h) = -5*h**3 + 22*h**2 + 16*h - 209. Let k(o) = -2*r(o) - 11*z(o). Give k(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8 + (-33)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*2)**2*-5.\nAnswer: -11340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008814262 rounded to 6 decimal places?\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315)\/(-70)*(-3)\/(7\/((-70)\/(-15))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 o when three letters picked without replacement from nnongooonoonono.\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 14 - (-66 + 38 - -30)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 594231?\nAnswer: 5\/594231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10357 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -141, -88, -51, -36, -49?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 - 1.7. Which is the nearest to i? (a) -4 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -229 - -232. What is the nearest to 1 in b, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13620195.\nAnswer: 3, 5, 313, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from {t: 1, u: 1, k: 2, q: 1, i: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-432)*-14*(-6)\/21*232\/551?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -8*o - 142. Suppose -8*l = -o*l - 18. Solve -x + 5*f = 13, l*f + 5 = -4*x - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2481 and 0.5.\nAnswer: 1240.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3869 by -8418.\nAnswer: 3869\/8418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1544.331l in millilitres?\nAnswer: 1544331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257, 536, 815, 1094, 1373, 1652?\nAnswer: 1931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/8715 and 53\/126313965.\nAnswer: 884197755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 279821069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49960104.87 rounded to the nearest one thousand?\nAnswer: 49960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 290*m - 293*m + 12 = 0, -5*z = 2*m + 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-26)\/(-10) - (-6810)\/25. Let b = 99 + t. Suppose -9*r = -2*r - b. What are the prime factors of r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -126*z + 115*z. Suppose -k = z*p - 32, 3*k = 81*p - 77*p + 83. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/15 - (-3 + (-6)\/(-9)). Let b(v) = 7*v**2 - v**2 - 4*v**s - 4*v**2. Let t(d) = -11*d + 9*d + 2*d - d. Calculate t(b(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/7 + 43*z**4 + 2186*z**3\/7 - 9244*z**2\/7 + 1192*z\/7 + 1760 = 0.\nAnswer: -10, -1, 2, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 36503?\nAnswer: 36506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -7, 1, 5 in increasing order.\nAnswer: -7, -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-one halves of a century?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91437*j**4 + 528915*j wrt j?\nAnswer: -1097244*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 435.29578 times -0.6\nAnswer: -261.177468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.027587*-3.\nAnswer: -0.082761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*d + 9335 = 0, 2342 = -t + 2*t + 2*d. Suppose -9*u + 3721 = -t. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + b + 12, -3*r + 2*b = r - 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/67, -2\/7, -4 in increasing order.\nAnswer: -4, -2\/7, 2\/67, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 w when three letters picked without replacement from fyjwwfwywwgfw.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-534)\/12)\/(2\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 630 = -5*w - 2*j, 263 = -2*w - 3*j. Let g(b) = b**3 + 20*b**2 - 69*b - 24. Let l be g(-23). Is 6 a factor of 32\/l + w\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -6*f. Suppose f = -2*w + 5*o + 24, w - 24 = -w + 4*o. Let m = w - -11. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/12138767 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -15. Suppose -11*c + m*c = 0. Solve -5*a - 31 + 11 = c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001258 to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = -4*s, -3*w + 6*s - 2*s - 20 = 0. Let p(i) = i**2 + 4*i - 17. Let x be p(w). Solve -y = 2*y, x = -5*r - 3*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 11:47 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-1 + 1 - (-15 - -18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37 and 8?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 9*k + 4. Let f be z(8). Let v = -3 - f. What is the units digit of ((-16)\/12)\/(v\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -7*j**5\/180 - 19*j**4\/18 - 80*j**3\/9 - 64*j**2\/9 - 6256*j. Factor q(c).\nAnswer: -(c + 8)**2*(7*c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21 + 25 + 2*-3)*-3. Let y(d) be the third derivative of 1\/40*d**x + 1\/10*d**5 - 1\/2*d**4 - 4*d**3 + 0 + 0*d + 11*d**2. Solve y(n) = 0 for n.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**5\/10 - 5*n**4\/2 + n**3\/6 - 23*n**2\/2 - 36*n. Let y be z(-16). Suppose 25*b = 14*b + y. Is 42 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 67\/(-5) - (-2)\/5. Let r be (-1)\/(-8) - (5 - (-171)\/24). Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 55\/(-5)*(-2)\/(-1). Let g be 20\/25 - p\/10. Let u = -108 - -113. Which is the biggest value? (a) 0.4 (b) u (c) g (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-47\nAnswer: -23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 146806174 to the power of 1\/2, to the nearest integer?\nAnswer: 12116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -b010a?\nAnswer: -b0107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f*u**2 - f*u + f + 20345822*u**5 - 8324*u - 63 wrt u.\nAnswer: -2*f + 406916440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130289 divided by 376763?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 47. Which is the second biggest value? (a) 1\/2 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22993, -92057, -207181, -368365, -575609?\n\"Answer: -23030*z**2 + 26*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59291?\nAnswer: 211, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*r - 43 + 56 = 0, -5*t = -4*r - 26. Solve 5*h - t*w + 7*w + 14 = 0, -4*w - 8 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 11*u**2 + 4. Let r be j(-11). Let s be 2\/(-4)*(r - 6). Suppose 0 = 3*z + 4*y + 12 + s, 3 = -z - y. Let p(b) = -b**2 + b. Calculate p(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*b + 6501 - 5829 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 42. Let x = 12.4 - q. Which is the biggest value? (a) -2\/11 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 374 or -4308?\nAnswer: -4308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -25*v + 103. Let r(u) = -42*u + 154. Calculate 5*r(g) - 8*t(g).\nAnswer: -10*g - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 22477*d - 493999. Calculate y(22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.343 * 0.022\nAnswer: -0.007546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**5 + 0*n**5 + n**5 + 1 - n**2 - 3*n**5 - 4*n**5 + 5*n**5 + (0*n**2 + 0*n**2 + 2*n**4)*(6*n - 5*n - 10*n).\nAnswer: -22*n**5 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 3*o + 3, 124*h + 2*o = 119*h + 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.786 - 3235?\nAnswer: -3178.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(1 + k - 1) + 2*k + k - k + (-1 + 1 + 2)*(-23*k + 7*k - 14*k) - 3*k + 4*k - 3*k.\nAnswer: -57*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132259681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(10*(-13)\/(455\/(-28)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 37, -0.5, 8 in descending order.\nAnswer: 37, 8, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1.5. Let f(p) = 2*p + 53. Let s be f(-26). Suppose -10*z - s - 49 = 0. What is the second smallest value in z, -2\/11, x?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 294*i**2 - 15*i - 176 + 0*i**3 - 456*i**2 - 8*i**3 + 6*i**3 - 1387*i**2 wrt i.\nAnswer: -12*i - 3098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:05 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*22 - (-6 - -6). Let u be 33\/t + (-2)\/(-4). Sort u, -3, 54 in decreasing order.\nAnswer: 54, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19499\/4780 - 7\/239. Find the common denominator of y and 5\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**4 + c**3 - c**2 + c. Let x = 3 + -6. Let p(i) = -3*i**3 + 5*i - 6*i + i + 3*i. Let k(l) = x*f(l) + p(l). Find h such that k(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/5 - ((-28)\/5 - -5). Suppose 5*x + 5*n = 590, 4*x - s*n + 476 = 8*x. Calculate the remainder when x is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -657023, -656950, -656877, -656804?\n\"Answer: 73*h - 657096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-12)*(-1976)\/(-1235).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 21*l**2 - 58*l - 1818. Determine j(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1062, 65 in increasing order.\nAnswer: -1062, -3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 5*o + 5. Let z = 33 - 38. Let q be l(z). Suppose 0 = g + q*g - 12. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41407 + 41417. What is the remainder when 14907 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z = -27*z - 28. Let k(d) be the third derivative of 0*d**4 + 1\/30*d**5 + 0 + 0*d + z*d**2 + 2\/3*d**3. What is the first derivative of k(q) wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 110740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2308215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1235 and 1391975.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 + 0.4. Suppose -l - 2*r = 3*r - 13, 4*r = 5*l + 22. Which is the closest to -0.06? (a) l (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*k**3*l**2 + 1041*k**3*l*t - k**3*t - 2*k**3 - 47*k**2*l*t - 2*k**2*l - 4*k**2 - 18020*k*l**2*t wrt l.\nAnswer: 96*k**3 - 36040*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 7. Suppose -6 + 53 = 4*r + v*h, -3*r = 3*h - 36. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 3108*n**2 + 53382*n + 50272.\nAnswer: -2*(n - 1571)*(n + 1)*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h - 16 = 20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 75536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6653 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/7)*a\/a**(-12)*(a*(a\/a**4)\/a)\/(a*a**(-7)) assuming a is positive.\nAnswer: a**(109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -498 - -518. Suppose -t - 3*o = -8, 2 = 25*t - j*t - 4*o. Solve 4*v + 11 + 2 = -3*a, -v + a + t = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81524 is divided by 5029?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.88 + 0.12. Let k(i) = -2*i + 6. Let t be k(4). Let f be (t - 10\/(-4)) + -1. Put f, p, -2\/3 in ascending order.\nAnswer: -2\/3, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**5\/3 - 37*b**4\/3 + 46*b**3 - 172*b**2\/3 + 56*b\/3 = 0.\nAnswer: 0, 1\/2, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**3\/6 + z**2\/2 + 9*z. What is v(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70282 = -5*z + 4*a - 16153, -3*a = -5*z + 54123. What is the thousands digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34483756 divided by -2?\nAnswer: 17241878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1 + 3 - 2 + 1 + v. Let l(f) = 4*f + 5. Give -4*l(d) + 18*w(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 988.948 times 1.19\nAnswer: 1176.84812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -17, -186 in increasing order.\nAnswer: -186, -17, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22158206 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w**5\/3 - 1998*w**4 + 3431*w**3 - 2576*w**2\/3 - 572*w = 0. Calculate w.\nAnswer: -858, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.04499159*5.\nAnswer: 35.22495795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-196)\/(-80) - 468\/144)\/((65\/(-100))\/13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 420.659 + -421. Let a = -6298.5360171 - -6298.195. Let y = r - a. Round y to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d\/(d**(1\/2)*d)*d))\/d*d)**24)**7\/(d**(-2)*d*d**(1\/6))**(9\/5) assuming d is positive.\nAnswer: d**(-165\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -87 in 125\/3, 0.14, -1, -2, -1\/3, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -15. Suppose n = 3*u - 28, -4*u + 2*n = -0*u - 36. Calculate the remainder when j is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eewe when four letters picked without replacement from eeeeeeeeeeeeeew?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**3 + 2*l**2 - l. Let p be ((-4)\/2 - 0) + 0. Let q be p\/(-9) - (-28)\/36. Determine n(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1. Let d(g) = g - 1. Let c(p) = -6*a(p) - d(p). Calculate the remainder when ((-1)\/(-2))\/((-30)\/20)*-24 is divided by c(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10701*d + 107320. Calculate k(-10).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Suppose -4*g - 56 = d*u - 4, 0 = g + 4*u + 13. Let m = g - -12. Sort 0.2, -2\/11, m in increasing order.\nAnswer: m, -2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 56 = -17*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 0, -4, 2217, -2 in increasing order.\nAnswer: -4, -2, 0, 32, 2217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*q**3 - 8 - 44*q**3 + 16461*q**2 + 83*q**3 - 16461*q**2 + 8.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let m be (2 - (-2 - -7))*15. Let o be (-3 + 2)\/(3\/m). Solve -3*a = d*a - o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, 3, 6, -0.1 in descending order.\nAnswer: 10, 6, 3, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1764*l**2 - 879*l**2 - 823*l**2.\nAnswer: 62*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 5:07 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(2\/51)\/y*y)\/y)\/y*y**(-20)\/y)\/(y**(4\/13)*y*y*y\/(y*y**(1\/4)*y)*y))**(-8) assuming y is positive.\nAnswer: y**(132698\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35787 is divided by 1325.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(37179\/540))\/((-22)\/(-33)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 270739*o**3 + 2*o*u - 697274*u - 2 with respect to o.\nAnswer: 812217*o**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24640 divided by -4928?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 29*f**2 - 139*f - 85. Determine n(9).\nAnswer: 1013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.05, -7, 2\/35, -4, 0.1 in decreasing order.\nAnswer: 0.1, 2\/35, -0.05, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-4\/5)\/t*t)**(-3\/4) assuming t is positive.\nAnswer: t**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4*b - 16 = 0, 0 = -y + 2*b - 7 - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, l: 1, y: 1, p: 2, g: 2}. What is prob of picking 1 l, 1 g, and 2 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*s + 15205 - 15205)*(s**3 + 2*s**3 - 4*s**3) as k*s**3 + x*s**4 + p*s**2 + f*s + n and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/12)*k\/k**(6\/11))**(-4\/7))**(14\/11) assuming k is positive.\nAnswer: k**(-98\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/3 equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -55*a + 4. Let p be z(-11). Suppose -192 = 3*r + p. Let m = -147 - r. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2049224802.\nAnswer: 2, 3, 341537467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + -44a?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -660, -1055, -1168, -999?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -187 + 270. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2 - 10) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/75*5)\/((-29)\/58).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39569795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 1, 3, -4, -9, -206, -5.\nAnswer: -206, -77, -9, -5, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 59*a**2 + 332*a + 49. Is h(54) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r\/r**5*r)\/r*r*r**(-2\/3)*r**(-1\/4)\/((r*r**(-7))\/r) assuming r is positive.\nAnswer: r**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 37*p - 5. Let y(i) = 1924*i - 259. Determine 259*d(l) - 5*y(l).\nAnswer: -37*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 124*-0.1\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2361, 17, 11 in decreasing order.\nAnswer: 17, 11, 2, -2361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from qvvlvvvvvllvlvxvvlv?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miimimmimmimmm. Give prob of picking 2 m.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -74.5. Let y be 3\/2*40\/15. Suppose 2*s + 5*j + 23 = 0, -j + 2 - 3 = y*s. What is the third smallest value in s, 0.07, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**6\/24 - y**5\/4 - 28*y**2. Factor m(t).\nAnswer: 5*t**2*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-3))\/v)**21)**(-3\/20)\/(v**8*(v\/v**12)\/v)**(-5\/2) assuming v is positive.\nAnswer: v**(-389\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from dxdyddvvds?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137490 - 137487. Let s be (7\/(-4))\/(1\/(-4)). Suppose s*t - 3*t - 10 = -2*o, 14 = 4*t - 2*o. What is the lowest common multiple of f and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-10)*g**(-2\/29)\/g)**37\/((g*g**(2\/7))**11*(g**(-2\/11)*g*g*g)\/g*(g*g**(-3))\/g) assuming g is positive.\nAnswer: g**(791570\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(66)*-1*-5)\/(sqrt(36)\/(sqrt(60)\/sqrt(90))))**2.\nAnswer: 6875\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/5 (b) -0.3 (c) 2\/7 (d) -1 (e) -156 (f) 0.052244 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -512, -5, -0.5, -0.1, 0.02, -2\/39?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-2))\/(2\/(-2) - 0). Solve q = -6*i + 7*i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4\/3*g**5 + 44\/3*g**4 + 380\/3*g - 40*g**3 + 100 - 88\/3*g**2 = 0.\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y**3 + 11*y**2 - 9*y - 9. Let x(r) = 5*r**3 + 7*r**2 - 5*r - 6. Let w(g) = 4*d(g) - 7*x(g). Suppose q = 5*z, 2*q - 7 = -0*q + 3*z. What is w(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 3*p - n - 87, -n + 3 = 0. Suppose -4*y + p = -3. Solve 3*h + y = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 4*h**2 - 4*h + 6. Let p be y(5). Suppose p = -3*a - r, -17 = 3*a - r - 4*r. What is the nearest to 1 in a, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-25)*(-70)\/28\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11979*s**2*y**3 - 5*s**2 + s*y**2 - 59*s*y + 2*y**2 wrt y?\nAnswer: 71874*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(9\/5)*f)\/f)\/f*f**(-15\/8) assuming f is positive.\nAnswer: f**(-43\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -178 + 900. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 375 = -0*w. Let z(l) = l**3 + 13*l**2 + 9*l + 130. Calculate the remainder when w is divided by z(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7076 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + -2 + 3 + 1 + 5 + 0 + (sqrt(180) + 3)**2.\nAnswer: 36*sqrt(5) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 - -78. Suppose r = -4*z + 6*z. Let f(v) = v - 3. Let i(n) = -4. Determine z*i(u) - 4*f(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1080939 kilograms?\nAnswer: 108093900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -0.5 (b) 3 (c) 3\/34 (d) 0.1 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 11) to base 5.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242597048.\nAnswer: 2, 83, 365357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 3. Let t be v(-7). Let k = t + -1. Suppose 0 = 2*n - 2*n + 55*n. Sort n, k, -1.\nAnswer: k, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 10. Let c(b) = -3*b + 11. Let f(a) = -3*c(a) + 4*x(a). Let z(k) = 1656*k + 1655*k - 4968*k + 1655*k. Give z(f(i)).\nAnswer: -2*i - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(19) + 1 + 1 + (sqrt(57)\/((sqrt(12) - sqrt(1200) - sqrt(12)) + sqrt(12) - sqrt(12)))**2)*-6.\nAnswer: -8457\/200 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -58188 divided by -3\nAnswer: 19396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 divided by 5.\nAnswer: -129\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 612.005 milligrams?\nAnswer: 0.000612005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g - 8. Let w(i) = -9*i + 102. Let n be w(11). Let p(f) = -5 - f - n + 9. Determine h(a) + 6*p(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1438 + -149547\/104. Let r = -253\/936 + c. Put 2\/131, -1\/6, r in decreasing order.\nAnswer: 2\/131, -1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -27.999997. What is w rounded to seven dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6064382, 6064383, 6064384, 6064385, 6064386?\nAnswer: 6064387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2633 + -12.7367. Which is the closest to 1? (a) -56 (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**4\/2 + f. Let p = 14 - 12. Let t(d) = -6*d**p + 2*d**2 + 2*d**2. Give t(s(m)).\nAnswer: -72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010111111 - 10?\nAnswer: 111010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 57\/135 - (-14)\/189*-3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 376326 and 206793?\nAnswer: 41772186","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*u + 4 + (-8 - 2 + 1)*(1 - 1 + 2*u)*(-2 + 3 + 0).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/57)\/(2608\/(-7824)).\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-12) + (-114)\/24. Let p be (-12)\/v*1 + -1. Calculate the highest common divisor of p and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -101, -153, -205?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, c: 1, u: 1, h: 2, x: 1, p: 1}. What is prob of picking 1 p, 1 c, and 2 k?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64*(-35)\/(-2240) + -1*(-6)\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by (-13)\/(1482\/(-42396)) - (2 + 200\/(-95))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**2 + 3581*d - 25018 = 0.\nAnswer: 7, 3574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 29, -680, 5 in ascending order.\nAnswer: -680, -1, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1179159 + 495620 = 29*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -82.532\nAnswer: 57.7724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 6*b + 14. Suppose b = -3*q - 2. Calculate the lowest common multiple of 10 and 9*(-1)\/(q\/2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 646859617 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 441*d - 1336. What is c(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7495 + 7964 = 65*p - 1506. What is the greatest common divisor of 297 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 18\/2427149 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**4\/36 + 8*y**3\/9 + 348*y. Factor x(c).\nAnswer: c*(c + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - 4*p**2 - 14*p + 12. Let i be w(5). Let f = i + -76. Suppose f*b - 1092 = 9*b. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-632)\/(-6)*(-27)\/(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 1081*x**2 + 2118*x + 1958. Differentiate j(v) with respect to v.\nAnswer: 2162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**3 + 3*s**2 - 2. Let q = 18 + -16. Let d(c) = -4*c**3 + 4*c**2 - 3. Calculate q*d(h) - 3*k(h).\nAnswer: h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o**4 + 81516*o**3 + 10*o**2 - 9420*o - 2.\nAnswer: 72*o + 489096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1301 + 1580. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c = -331*c - 1535 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ede when three letters picked without replacement from {d: 6, e: 2, f: 11}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 3482?\nAnswer: 3482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -3 (c) -66\/7 (d) -101 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-130)\/(-25) + -5 + 54\/30. Let 0 + 0*f**3 + 0*f - 2\/5*f**5 - 4\/5*f**4 + 0*f**o = 0. What is f?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/143, -3, -0.5?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awm when three letters picked without replacement from rmizmzmriiiwazirr.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((-2 - -9) + 22 - (22 + -29))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 10:54 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 480984 and 8417220.\nAnswer: 16834440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((-1 - -16) + (-151 - -145) + 26).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 696 and 744024.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*q**2 - 95588 - 2*q**2 + 95582 - q as d + u*q + t*q**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1121113001 - -1020?\nAnswer: 1121120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -510 + 513. Which is the second biggest value? (a) u (b) -40 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011340204 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8424 = 2*p - c + 5179, -2*p - 13597 = c. Let x = 10593 + p. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + (sqrt(114) - 4*sqrt(114)*1))\/(-4*(sqrt(6) + sqrt(294))).\nAnswer: sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3358266 greater than 3358265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 65484073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 0 - (54\/(-6) - -8). Let a(d) = -42*d**2 + 34*d**k + 2 - 5 - d**3. Calculate a(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 0*c**3 + 4 - 2*c**3 + c**3 + 2 - 11*c. Differentiate u(n) with respect to n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (262\/20*-1 + (-35 - -46))*(-1 + 3)\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*l + 26*l + 2*l)*(5539 + 2508 - 10516) to the form j + z*l and give z.\nAnswer: -32097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 - 5*s + 6. What is the tens digit of n(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435015 divided by -62145?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 11603.\nAnswer: -104427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 8:21 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, -1, 1\/30, -1\/3.\nAnswer: -1, -1\/3, 0, 1\/30, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/3854 and 79\/246.\nAnswer: 11562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15112, -30421, -45730, -61039, -76348?\nAnswer: -91657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 763?\nAnswer: -7.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/20)\/((-4)\/10). Suppose 0 = -i - 2, w - 2*w = g*i - 1. Suppose d = 3*s - s - 3, 2*s - w = -d. Solve 0 = 2*b + s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, u: 2, o: 1, l: 1}. Give prob of sequence ol.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19.2? (a) -2\/7 (b) 0.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5 + sqrt(2)*2))**2 + 0 + (3*(-2*sqrt(4) - sqrt(4)))\/(sqrt(256)\/sqrt(8)).\nAnswer: 71*sqrt(2)\/4 + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m = 56. Let u = m - -83. Suppose i + 6 = u. Calculate the highest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -282, -1244, -3948, -9264, -18062, -31212, -49584, -74048?\n\"Answer: -145*t**3 - t**2 + 56*t - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*h - 432, -142 = -r - 4*h + 3*h. Calculate the greatest common factor of r and 37669.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137585387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4, -1, 1, 43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akb when three letters picked without replacement from {a: 1, b: 1, k: 1, p: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (-48975)\/3060)*-43 - 1\/(-4).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.023 + -0.123. What is the closest to 0.1 in 5\/6, -1\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98904?\nAnswer: 2, 3, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 495\/75 + (-7)\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 7925696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 3*j - j**3 + (-2*j - 2 + 2)*(0*j**2 + j**2 - 3*j**2).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 2:53 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 24*i + 73. Let s be ((-25)\/(-50))\/(0 - -1)*-6. Calculate b(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 1\/8*t**4 + 1\/2*t**2 - 21*t + 5\/4*t**3 - 36 = 0?\nAnswer: -6, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3965.7 rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11\/(-308))\/((2\/(-4))\/((-26)\/13)). What is the second smallest value in -5, 87, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(k**(-3\/4)\/k))\/k))\/(k\/(k*k*k*k*k**(-1)*k)))\/((k\/k**(-1))\/k*k)**17 assuming k is positive.\nAnswer: k**(-127\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8778 - 4872 = -254*a - 304*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 426644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 10:04 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 4 + c + 2*c - 9*c. Let v(a) = -2*a - 2. Let i = -27 + 22. Calculate i*v(r) + 2*t(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5 - 0. Let m be 262 + -7 + (3 - p). Let h = m - 2851\/11. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 52\/6*(-27)\/(-18). What is the second derivative of -x*y - 35*y + 28*y**2 - 44*y + 90*y**2 - 42*y wrt y?\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 6 + 0*s - 5*s.\nAnswer: -12*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -10) + (-42 - -35).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m = 25*m + 532. Solve -26*c - 14 = -m*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 11 - 1 - (-12)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 524, 1100, 1894, 2912?\nAnswer: 4160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/4)*n*n*n)\/((n\/((n\/n**(2\/9))\/n))\/n)*n**(2\/3)\/n*n\/(n*n**(2\/7)) assuming n is positive.\nAnswer: n**(859\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5289, 5287, 5285, 5283, 5281?\n\"Answer: -2*c + 5291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 4444717.\nAnswer: -4444719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5f (base 16) in base 6?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -33 - (-25482)\/(-682)) + (0 - -2).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.095, 0.1, 5, 48, 11 in decreasing order.\nAnswer: 48, 11, 5, 0.1, -0.095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -20\/11, 62 in decreasing order.\nAnswer: 62, 0.11, -20\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 1, h: 1, k: 1, l: 1}. What is prob of picking 1 j and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7866\/115 - (16\/(-10) - -2) and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175623 to the power of 1\/2, 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 ivvzikf. Give prob of sequence kiv.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 5\/105669?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m + 24 = t, -5*m - 33 = -t. Calculate the remainder when 81 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2*t + 3*t + (6 - 2 - 2)*(-5*t + 4*t + 2*t))*(-4*t**2 - 10*t**2 + 0*t**2).\nAnswer: -56*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -16*n + 16*n + 362*n**3 - 182*n**3 - 184*n**3. What is z(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, -133, -7, -88\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 2716127?\nAnswer: 10864508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -2 - (1 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/39)*f*f)\/f**(-6\/7)*(f**(-6))**18)**(-9) assuming f is positive.\nAnswer: f**(86154\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 3. Let w be (0 - -2)*(0 + -1). Let o be 1 - 1\/(-2)*w. Which is the biggest value? (a) l (b) -2\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13260 divided by -3315?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - -1 - 4)*(-11)\/(55\/(-910)). What is the highest common factor of 1898 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 287\/71, -0.129, 0, 5?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/10*(-20 - (-25)\/5). Let y(h) = h**3 + 2*h**2 - 5*h - 4. Let o be y(-3). Solve -o*g - a = a - f, -4*a = g - 21 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-21)\/(-3))\/(-70))\/(20\/40)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-9 + (-76)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 323a (base 13) to base 5\nAnswer: 210403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 20*c + 36. Let g be l(18). Factor 2\/11*h**3 + 0*h**2 + 2\/11*h**4 + 0 + g*h.\nAnswer: 2*h**3*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d + 2*d + d)*(-1 + 0 - 1) + 2*d + 2*d - 6*d - d - 4 + 4)*(3 - 3 + 3)*(4*d + 4*d - 6*d).\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 0, -2*i + 7*i = -4*u + 132. Suppose 114 - 30 = 6*r. Suppose 12*c + 726 = r*c. Calculate the greatest common divisor of c and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375139419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Suppose -j - o*j = 0. Solve -2*i = 3*h - 4 - j, 0 = 3*i - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.966599\nAnswer: 2.899797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-10)\/(-4))*9\/(-324)*15?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1774 + 4454?\nAnswer: 4454.1774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-1)*144\/(-3240)*432.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5333 + -5333. Solve i = b + 3*p - 7, 3*b + 5*p + 31 = 9*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 10*d + 24.\nAnswer: (d - 6)*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.9033 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 51. Let a be x(21). Suppose -10*u - a = -73. Solve 3*h + 20 = -4*g - 0*h, 4*g - u*h = -20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7665, 7656, 7693, 7800, 8001, 8320?\nAnswer: 8781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7514*u**2 - 78*u + 9789. Let r(z) = -18*z**2 + 3*z. Let k(o) = -n(o) - 26*r(o). What is the first derivative of k(j) wrt j?\nAnswer: -14092*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 - -678\/5. Which is the nearest to o? (a) -0.3 (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1470 and 7.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 7*n**2 - 6*n - 4. Let c = -6183 + 6191. Give o(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62148*z + 8774*z + 0*z**3 + 10*z**3 - 17882*z - 5*z**3 + 1025*z**2 + 52020 = 0. What is z?\nAnswer: -102, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 + 219*n**2\/5 + 1286*n\/5 + 1704\/5.\nAnswer: (n + 2)*(n + 4)*(n + 213)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 297384*q**3 + 3*q - q - 5*q**2 - 3*q + 297382*q**3 to d*q**2 + i + t*q + z*q**3 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571*i - 588*i = -221 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 363*y**2 - 60*y + 130691 wrt y?\nAnswer: 726*y - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.17 - 0.57. Let j be (-2 - -6)*(-1)\/(-2). Suppose i - 2*x = -3, 4*i - 6*i + j*x = 6. Sort f, i, -2\/7 in descending order.\nAnswer: -2\/7, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 237262782 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73215 + 1441?\nAnswer: 74656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 1884685348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*b**3 - 3*b**3 - 16*b**3 + 14*b**3 + 11*b**3.\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 300240074*h**4 - 560445406*h.\nAnswer: 3602880888*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 15*l = 5*f - 16334, 16337 = 5*f - 3*l. Is f a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*r - 0. Is (42\/(-12))\/(r\/(-20)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -629673 + 1889023\/3. Determine a so that 1\/12*a**2 - 5\/6*a + h = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 372645.63s to hours.\nAnswer: 103.512675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(64))\/sqrt(2).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1192 or -1193?\nAnswer: -1192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2624028g to micrograms.\nAnswer: 262402.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.02489 and -1.7?\nAnswer: 1.67511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -5*n + 7*n. Let w = -15 - n. Suppose -w = -5*p - 5*d, 6*d = -3*p + d + 63. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 374 - 1054. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3766*a**2\/13 - 1043202*a\/13 + 5540\/13 = 0.\nAnswer: 10\/1883, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 73. Solve 0 = 4*a - 0*x + 3*x + r, 0 = -2*a - 2*x - 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122667 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*r - 131, u + 12*r = 13*r + 133. Calculate the remainder when u is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1 - 10) + 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, -3, 5, -1 in decreasing order.\nAnswer: 114, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 660.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919 is divided by 130.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -11. Let t be -2 + 33\/(-9) + 5. What is the nearest to -0.6 in t, -0.4, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 6*c - 4*c)*(-c + c - 3*c**2).\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h + 6. Let f be z(-2). Let y be (-4)\/(-18) + 14562\/81. Suppose 7*k - 16 - y = f. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1046b - -2?\nAnswer: -10469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Suppose 0*b = b. Suppose -3*v - 3*k + 15 = b, 3*v - k = 2*k - 3. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/191 - 761\/573. Let m = 0 + 1. Let f = 42.5 + -42. Which is the nearest to m? (a) d (b) f (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161 + 170. Suppose -s*d + 32 = -d. Solve -2*t = -0*g - 2*g + 8, -3*t + d*g - 17 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(22))\/(sqrt(20)\/((sqrt(10) - (sqrt(10)*-2 - sqrt(10))) + sqrt(10))).\nAnswer: -25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 908782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5741*g**3 - 6*g**2 - 2*g - 821. Let y(l) = 3*l**2 + 2*l. Let z(x) = -c(x) - y(x). Find the third derivative of z(n) wrt n.\nAnswer: 34446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -13*x - 485. Determine w(-35).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25183 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 1. Let t = -1.1 + d. Let s = 23 + -23. What is the third biggest value in s, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-2)\/10*(-75)\/120?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -370*k**2 + 76*k**2 + k - 118214 + 118214 to r + u*k + w*k**2 and give w.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1112 = 2*y, -3*y + 2*m + m = -1668. What are the prime factors of y?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by 7062244.\nAnswer: -45\/3531122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 3, 2\/5, -11, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*t - 2*i - i, 54 = 3*t - 3*i. Suppose 12*h + 659 = t*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1. Let d(o) = -4*o. Let l be (-1)\/1 + (4 - 1). Let a be (0 + l)*3\/2. Let u(b) = a*w(b) - d(b). Find the first derivative of u(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2581525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 27*m = -391. Let i(r) = 2*r + 11. Let h(a) = a + 4. Give m*h(t) + 6*i(t).\nAnswer: -5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-920)\/1288)\/((-30)\/(-7)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*w + 1222, 0*w = q - 4*w - 1226. Let f = -992 + q. List the prime factors of f.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9759703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-70)\/90 + 1\/9. What is the closest to -2\/5 in -1\/4, r, -4\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1558809, 1558821, 1558835, 1558851?\nAnswer: 1558869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -277?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 1. Let v(w) = -2*w**2 - 4*w - 7. What is 5*k(r) + v(r)?\nAnswer: 3*r**2 - 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2240 (base 8) to base 15\nAnswer: 53e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/2)\/2*194. Let x = q + 42. Let w = -25 - x. Calculate the greatest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.43 + 0.23. Let k = -5.1 - -1.1. Let o = k + 5. Which is the closest to j? (a) o (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-202)\/(-101))\/(6\/(-21))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -43*j. Let i(r) = -r**2. Calculate h(i(a)).\nAnswer: 43*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -540.59 + 535. What is a rounded to one decimal place?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 7328 = 2*b, 0 = 4*b - 8*b + r + 14646. Suppose -14*s + b = -21*s. Let v = 830 + s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3190 + 1113. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 4*t**2 + 9 - 20 + 121*t.\nAnswer: 4*t**2 + 121*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -565 + 565. Suppose -11*s + 5*s + 18 = i. Solve s*t = -5 + 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -16107*r + 48280. What is o(3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -27*x + 7*x + 67 - 52 - x**2 - 97. Let o be a(-7). Which is greater: o or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 20*x - 22*x. Suppose 9*n - x*n = 15. Which is greater: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 5*d - 7. Give f(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7307013*f**3 - 5*f**2 - 1517871*f wrt f?\nAnswer: -43842078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 459*n**3 - 547*n**2 + 4*n - 4. Let v(a) = 460*a**3 - 543*a**2 + 5*a - 5. Let b(l) = 5*t(l) - 4*v(l). What is the third derivative of b(q) wrt q?\nAnswer: 2730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*1\/(5\/((-15)\/9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(350)*2*2)\/((sqrt(10) - (sqrt(10) - (sqrt(10) - sqrt(10)*2*-6))) + sqrt(10)))\/((sqrt(2420)*-1)\/(2*sqrt(4)*-1)).\nAnswer: -24*sqrt(7)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.38431476 to 3 decimal places.\nAnswer: -8.384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*g = g, -2*g = o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, d: 1, m: 2, g: 4, v: 5, s: 2}. What is prob of sequence md?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2. Let v(p) = 0*p + 8*p - 4*p + 2*p. What is u(v(i))?\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n*n)**(2\/103)\/(n*n*n**(-1)*n*n)**(-3\/11) assuming n is positive.\nAnswer: n**(971\/1133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-20))\/((-4)\/(-10)). Suppose -b*z + 20 = 2*z. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6224 and 427122?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 + 12*t**2 - 13*t + 7. Let g be m(-7). Let b be ((-64)\/(-48))\/(g\/(-1) + -2). What is the nearest to b in -45, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -65*b - 836. Does 21 divide h(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 56, 65, -16, -211, -544?\n\"Answer: -4*g**3 - 21*g**2 + 100*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 920909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**21\/h*h\/h**(1\/4)*h*(h\/h**(-3\/5))**(-3) assuming h is positive.\nAnswer: h**(339\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 734\/2651 - 1\/241. Is s <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (sqrt(66)*-2 - sqrt(66))*-3)\/(-6*sqrt(24) - sqrt(6)).\nAnswer: 8*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v + 4. Let l = 28 - 25. Suppose l = 2*t + a, 0*a = -t + 3*a + 12. Give j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/1*(-1)\/(-3). Suppose g*d = x - 5*x - 33, d - 4*x - 3 = 0. Let p(f) = -f + 3. List the prime factors of p(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 3*y**2 - 6*y. Let d be c(3). List the prime factors of (4 + -1)\/d + 4034\/12.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -35*d + 19*d - c - 80 + 19, 4*c = 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1bd?\nAnswer: 1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*z = -267*z - 57*z + 6285 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l, 194 - 2232 = -n + l. Let w = -1265 + n. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4113506*b*o**2*r + b*o**2 + 4*b + 224500*o**2 wrt r?\nAnswer: 4113506*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 8:29 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 5. Suppose x*w - 4*w = 3. Find the third derivative of -3*m**4 - w*m**2 + 0*m**2 - 2*m**2 + m**2 wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/(-15))\/(3\/15). Let o be (-2)\/a - (-1575255)\/35. Let x = 28007 - o. Round x to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**22))**(-3\/32) assuming u is positive.\nAnswer: u**(-33\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1907 is divided by 208.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/5, -217\/8, 0.4, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l**2 + 2*l + 2. Let o(i) = -34*i**2 + 11*i + 11. Suppose 9*c - 7*c + 570 = -5*g, 3*c + 2*g + 855 = 0. Let q = 283 + c. Calculate q*o(p) + 11*m(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1563, -2255, -2951, -3651, -4355?\nAnswer: -5063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times 419.01?\nAnswer: 4190.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10904 = 550*m + 21546 for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5419157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 42?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 2781864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 93012811753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1402, 1403, 1404?\n\"Answer: g + 1401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5496.17941 + 5509.38. Let p = -0.143 - -13.343. Let f = k - p. What is f rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)*x**(6\/13) assuming x is positive.\nAnswer: x**(-72\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 219 + 292. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (324\/1458)\/(44\/(-36)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 10755.909?\nAnswer: 10755.909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j - 58. Let q = -11 - -23. Calculate the remainder when j is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3420 - 3234. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7367 + -2?\nAnswer: -7370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 11:48 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 11 - 0 - (-2 - -4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -34 (b) 0.2 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65306891 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 4*p + 4*p. Let m(l) be the first derivative of -l**3\/3 + 4. Give v(m(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 2*m + 4. Does 14 divide o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -828 = -11*m - m. Let k = 171 - m. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -217 - -1516\/7. Let t = 0.11 - -0.09. Let n = 146 - 146. What is the closest to n in t, -8, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1.5. Let c be -5 - -3 - (-16)\/6. What is the second smallest value in -2\/5, s, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 2:23 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*1144\/(-2145).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/141960 and -77\/4056?\nAnswer: 141960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 - 7*a + 4. Suppose 8 - 40 = -2*m. Suppose m = t + 21. Let f(h) = 3*h**2 + 6*h - 3. Suppose -20 = 3*x + 2*x. Calculate t*f(q) + x*l(q).\nAnswer: q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + 4. Let x = -18 + g. Let t(z) = -2*z. Let p be t(x). Solve p*f + 3 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*i + 520 = 104 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 31183 to the nearest 100.\nAnswer: 31200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2 = p, 5*z - p - 33 = -32 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -5*m**4\/3 - 40*m - 2. Let z(p) = 5*p. Calculate r(z(l)).\nAnswer: -500*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2728 - -2732. Solve 3*h + 25 = -5*l, -p*h - 4*l - 10 = 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 14*f - 4*f - 79 - 15*f + f + 6*f. Determine d(7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + (-133)\/(-5))*(-5)\/(-1). Suppose s*l - 157*l = 7. Solve -l*g - 4 = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39690?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.040500138 to four dps.\nAnswer: 1.0405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80.4451633 + 3.4452623. Let g = -75.82 - 1.18. Let a = s - g. What is a rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-9 + (-2 - (-12 + 4))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -847 + 889. Suppose 36 = s*n - 30*n. Let f(v) = -5*v + 1. Let k(r) = 6*r - 1. Determine n*k(h) + 4*f(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 297, 7, 82, -3.\nAnswer: -3, 7, 82, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(34\/4 - -1). Let q = 0.079 + 0.021. Is q at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*t - 20*t = -220 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -2*s**4\/3 - 2*s**2 + 36*s. What is the first derivative of t(c) wrt c?\nAnswer: -16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4504546*d*f**3*w**3 + 16*d*f*w**3 - 120*f**3*w**2 + 17*f**3 - 124*f**2 + 2*f*w**3 - 3*w wrt d.\nAnswer: 4504546*f**3*w**3 + 16*f*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**5\/3 + 1400*n**4\/3 + 155122*n**3 - 5810568*n**2 + 5654979*n = 0?\nAnswer: -717, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.5. Let r = -74 - -76. Which is bigger: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -248?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + 2*f + 298. Give j(-17).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7942*j + 7946*j - 5*f - 116 = 0, 5*f - 76 = -4*j for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(132)*-2*-3)\/(-1*sqrt(12)*-4*-1))**2 + 5.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/48 and 7\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w - 30. Let x be t(10). Suppose -5*v + 135 = -5*b, -3*v - 2*b = -7*v + x. What is the highest common factor of 184 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + 449 = -853. Suppose v = 4*q - 5*i, -3*q - 7*i = -6*i - 56. Calculate the highest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3785 - 572 = 4*b, -5*b = 3*i - 4044. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 14*d - 43. Let s be w(16). Let f be (-32)\/(-20)*s\/((-22)\/20). Determine x so that -30 + 26 - 3*x**2 + 9*x + f = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 6*d**2 + 4*d - 2. Let y be (-352)\/(-56) - (-4)\/(-14). Let a be g(y). Let m(p) = -21*p + 1. Let o(b) = 2*b. Calculate a*o(c) + 2*m(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 5:25 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.0675, -0.05, -5, -0.4, 0, -3\/2?\nAnswer: 0.0675","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/25*4\/6. Let n = 5.3 + 0.7. Let x = -5.9 + n. What is the closest to 0 in u, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Suppose -d - 3*d + 2*l + 22 = 0, 0 = -4*d + a*l + 23. Is (5\/d)\/(2\/46) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s - 26*s + 165. Which is the closest to 1? (a) 2\/9 (b) -1 (c) 0.06 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(195\/(-10) + 18). Sort 0, 3, a, -45 in decreasing order.\nAnswer: 3, 0, a, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 43181299237.\nAnswer: 43181299236.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a milligram in micrograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = j + 2*g, 0*j + 4*g - 8 = j. Let k be 2\/3*(-108)\/j. Let w = k + 8. Solve -u = 5*z + 5 - 4, 5*z = 3*u - w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 15, -5, -2, -2225 in descending order.\nAnswer: 15, 2, -2, -5, -7, -2225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b = -1022 + 1238. Solve b*h + 54 = 60 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4684131 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1930229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11*2 + 6\/(-6). Let k = 28 - j. Let f(p) = -23*p + 2. Calculate the least common multiple of k and f(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1189105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -713\/1787623 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = f - 139, 232 = 2*f + 4*l. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 10*w - 2720 = 0. Let a be w\/585 + 2\/9. Are 1 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9*k**2 + 2*k - 1. Let d = 1 + 1. Let x = -1173 - -1175. Suppose x*s + 0 = d. Determine c(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170232?\nAnswer: 2, 3, 41, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 135*h**2 + 3*h + 41*h**2.\nAnswer: 176*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1. Let o(s) = -5*s + 3. Let c(h) = -3*a(h) + o(h). Let f(t) = t - 1. Determine -c(n) - 3*f(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 96*t + 612. Let u be r(-4). What is the highest common factor of u and 732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/6*8\/(-6). Suppose -6*o + 15*o = 8*o. Suppose o = 4*w - s - 3*s - 8, s = -w + x. Solve -6 = -n - w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 1440*v**3 + 253800*v**2 + 19440000*v + 546750000.\nAnswer: 3*(v + 90)**2*(v + 150)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -566364 (base 10) to base 14\nAnswer: -10a588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23475 - -217395. Let i = 404870 - y. What is i rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 259 - 254. Solve -b = 2*p - 7*p - 29, m*b = -p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 807.1329l to millilitres.\nAnswer: 807132.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 + -21)*3\/6 - 444\/(-37)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/170*(-3 - (-20)\/12)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/19170 and -59\/4.\nAnswer: 38340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {r: 2, g: 1, x: 2, l: 2, j: 1, s: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*m - 4*g, 0*m + 2*m - g = -2. Let t be -556*(-2 - 2\/m). Suppose 2*b + t = 2*w, 0 = -w - b - 0*b + 270. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(5\/7)\/a*a)**36*(a*(a\/(a**2\/a))\/a)**23 assuming a is positive.\nAnswer: a**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18011536*v**2 + 4067748*v wrt v.\nAnswer: 36023072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*q**3 - 14*d**2*q - 40096*d**2 + 2*d*q**3 + 72*d*q - 87642*q wrt d.\nAnswer: -4*q**3 - 28*q - 80192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -4?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 17*n + n - 18*n.\nAnswer: -31*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4749 - i**2 - 4727 - 3*i + 3*i.\nAnswer: -i**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from apasbpppcsucppppc.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -11317.\nAnswer: -11316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4965, 9184, 13441, 17748, 22117, 26560?\n\"Answer: 2*o**3 + 7*o**2 + 4184*o + 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -306*g + 58*g**3 + 325*g - 491 - 41*g**3 with respect to g.\nAnswer: 51*g**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.239239 years in centuries?\nAnswer: 0.02239239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-655*l + 4 - 645*l + 1278*l)*(2*l**3 - 3*l**3 + 3*l**3).\nAnswer: -44*l**4 + 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5515?\nAnswer: 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153 and 9554.\nAnswer: 85986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 9*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4)\/(1\/2). Let g = z + -7. Let p(m) = m**2 + 4*m + 6. Calculate p(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1 - 111893*w + 2*w**2 + 223776*w - 111891*w. Let a(f) = -6*f**2 + 23*f - 3. Calculate 6*a(l) + 17*r(l).\nAnswer: -2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4854233?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3210 - 11?\nAnswer: -3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Solve -p*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9857474873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 2*u**2 + 5*u**3 + 16 - 4*u**3 + 4*u**2 to g + z*u**3 + r*u**2 + q*u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - 208*h - 196. What is y(-103)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1222 - 1?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10489132.\nAnswer: 2, 2622283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2.3. Let q = 0.4 - s. Let c = -418.1 + 418. Is q smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = 0, 2*o - 19 = 2*w + w. Find the third derivative of 2*p**2 - 5*p**o + 0*p**2 - p**2 wrt p.\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**4\/12 + 3*c**3 + 81*c**2\/2 + 20*c + 30. Let i(x) be the first derivative of z(x). Factor i(q).\nAnswer: (q + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - 45. Let o be (2 - 38)*-1*(-18)\/(-27). Calculate the greatest common divisor of o and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -1\/9, 2\/793, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9158964 divided by 4579482?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, e: 4, u: 4, i: 1, t: 5}. Give prob of picking 1 t, 1 e, and 2 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0587712112 rounded to 4 decimal places?\nAnswer: -0.0588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -330 + 400. Calculate the smallest common multiple of 56 and u.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/2))**(-2\/15)*h\/h**(1\/2)*h*h**21*h*h assuming h is positive.\nAnswer: h**(733\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -555244 (base 6) in base 10?\nAnswer: -46540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1745, 3465, 5173, 6869?\nAnswer: 8553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.45 + 0.05. Let n = 0.7 + w. Which is the smallest value? (a) n (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p = 4*c - 20*p - 28, 2*c = 4*p + 22 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 14*l + 216 = 0. Let m = -23 - l. Differentiate 23 + m*y + 47*y + 29 wrt y.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14787460 to the nearest integer?\nAnswer: 3845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (199\/597)\/(5\/(-12)*1)*(-15)\/(-894)?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.11 and 0.3.\nAnswer: 1.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 25063492 - -1.136\nAnswer: 25063493.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4121*u + 5*h = 4127*u + 57, -4*h = 6*u - 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 + 19*i**3 + 19*i**3 - 11*i**3 - 38*i**3 + 2*i - 39*i**3.\nAnswer: -48*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 146661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 1 - 2. Let w be 3 + u + (-352)\/16. Let x = 35 + w. Calculate the remainder when x is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1295*v**3 + 18934*v**2 + 1 + 18854*v**2 - 37781*v**2 to b*v**3 + h + k*v**2 + q*v and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**4\/60 + 2*i**3 + 90*i**2 - 4*i + 3. Factor u(n).\nAnswer: (n + 30)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 5*r**2 + 4*r - 3. Let o be 18\/(-4) - (-2)\/4. Let y be t(o). Let c(u) = -2*u. List the prime factors of c(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + d + 11 = 0, 4*i - 20 - 30 = 6*d. Sort -3, -4, i, -11.\nAnswer: -11, -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5501.8, 4, -3 in decreasing order.\nAnswer: 5501.8, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(11) + 3)*1.\nAnswer: -2*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-199)\/(-40) - -12*(-30)\/960.\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 3*w + 2*w)*(w**3 - 3*w**2 + 3*w**2) + w**4 + 3 - 3 + 6*w - 191*w**3 + 191*w**3 + 3*w**4.\nAnswer: 6*w**4 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -564644.9731 rounded to the nearest one thousand?\nAnswer: -565000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -318 - -2238\/7. Which is bigger: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -53\/7, -155, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a4 (base 14) to base 3.\nAnswer: 201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 668352*w**5\/7 - 14700912*w**4\/7 - 117023901*w**3\/7 + 130501326*w**2\/7 + 79221*w + 84 = 0. What is w?\nAnswer: -7, -1\/472, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 69497 and 5.\nAnswer: 347485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2 (c) -20 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -826449133 and -826449132 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.159 and 5.\nAnswer: 0.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 847715\nAnswer: -847715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*x + 13 = 0, -2*t + x - 2*x + 5 = 0. Calculate the least common multiple of t and (-4)\/(-18) + (-352)\/(-36).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, k: 3, u: 5}. Give prob of picking 3 k.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*10\/(140\/21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1295204, 2590398, 3885580, 5180744, 6475884, 7770994, 9066068?\nAnswer: 10361100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 5, 2 in increasing order.\nAnswer: -1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 127 and 1397?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {b: 1, x: 3, a: 2, q: 1, p: 10, c: 2}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1024055 (base 6) to base 8\nAnswer: -141743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 582958581184\nAnswer: -582958581169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -0.2, 1\/3163, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-12))\/(2\/(-16)). Let x(d) = d**2 - 3. Let k = 117 - 110. Let v(y) = -y**2 + 3. What is k*x(m) + l*v(m)?\nAnswer: m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21632*v - 21585*v = -329 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.8 + -0.8. Let b = 2 - n. Let v = -3 + b. What is the nearest to 1\/2 in -0.4, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-2)\/20*(-50)\/(-20). Let m = 47 + -40.8. Let l = m + -5.9. What is the closest to -0.2 in -1\/4, l, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/33*((-26)\/3)\/(-26)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 144\nAnswer: -5\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 56 = 2*u, -s - 5*u - 64 = -54 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -5 (c) 0.08 (d) 245541\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2. Let f(d) be the third derivative of 0*d + d**2 + 0*d**4 + 0 - 1\/60*d**5 + 0*d**3. Give f(a(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -55*l**2 + 20056*l + 6972. What is v(365)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f - 182*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7845 - -7278. Sort d, -1, 2 in ascending order.\nAnswer: d, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41, -40, -39, -38, -37, -36?\n\"Answer: a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 1 + 19. Suppose -4 = -a, 21*a = -2*j + 20*a - 14. Let x(w) = -w**3 - 9*w**2 - 3*w - 5. Let l be x(j). Are l and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -34502*s. Let p(f) = 16*f. Give i(p(d)).\nAnswer: -552032*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -16*b**2 - 15 + 4\/3*b**3 + 64*b. Find t such that j(t) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/3 (b) 7 (c) 7.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-5 + (2 - 37))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*(-5 + -2 + 3*((sqrt(125) - (sqrt(125) + sqrt(125)*-1)) + 0)))**2*-6.\nAnswer: -176105 + 31500*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2) - (sqrt(128) - sqrt(32))**2).\nAnswer: -27 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 9:39 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67709124, -135418245, -203127366, -270836487?\nAnswer: -338545608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/64374 and -49\/7804?\nAnswer: 251187348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 + -333233022?\nAnswer: -333233233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 4:33 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -231213 (base 4) in base 10?\nAnswer: -2919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 38*i**2 + 326*i + 26. What is d(-13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126333580 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63834974 and 406.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, p: 1, k: 2}. Give prob of sequence kpk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10338303 is divided by 1271.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 384.040641 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 762*n - 403. What is m(0)?\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + c**2 - 7*c + 14. Calculate o(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*j = 15, -5 = -u + 2*u - 2*j. Suppose 12 + 8 = u*d. Suppose d*q + 32 = -4. Is -10 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**5 + 32640*l**4 + 390750*l**3 - 1368140*l**2 + 1433445*l - 488700 = 0.\nAnswer: -6516, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3438679\/21 - 163715. Let q = f - 94\/3. Let -2\/7 - 4\/7*b - q*b**2 = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {q: 3, k: 3, v: 12}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -119 (base 10) to base 3.\nAnswer: -11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3359262086?\nAnswer: 2, 199, 8440357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 205752540?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 2*z + 27. What is q(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -248, -415, -540, -611, -616, -543, -380?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Suppose -3*t + 67 = -2*m, 5*m - 72 = -i*t - 21. Calculate the remainder when 68 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/26)\/((-2)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 12. Solve o*m - 4*m = -4*d - 17, -d - 2 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 1:25 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 73, -1 in decreasing order.\nAnswer: 73, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 79572.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 8*q - 7*q. Suppose -3*r - 5*k + 39 = 0, 0 = -3*r - 2*k + 3*k + q. Let s(b) = -21*b + 18. Let d(t) = t - 1. Calculate r*d(y) + s(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**3 + 182 + 173 + 174 + 1166*j**2 - 4519*j**2 - 527 as m*j**3 + h + f*j + t*j**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s = -3*x - 4, -3*s + 5*x + 2 = 0. Let p be (-9 - s)*2\/(-4). Differentiate 5*g**3 + 6 + 0*g**p + 4*g**4 - 5*g**3 with respect to g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (sqrt(200) - -1*sqrt(200)) - sqrt(200))**2 + sqrt(72)*-2 - ((sqrt(2)*-1)**2*6 + ((sqrt(60)\/sqrt(3))\/sqrt(10) + sqrt(2))**2 + -2).\nAnswer: -12*sqrt(2) + 782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/127215 and -109\/25700.\nAnswer: 2544300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458355 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -18 - -11 - -12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -989900 rounded to the nearest 10000?\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 32. Let t(h) = -6*h - 56. Let a(i) = 7*d(i) + 4*t(i). Let y(g) = -10*g. Calculate y(a(z)).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1508240503.\nAnswer: 7, 11, 3923, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.28 - -5. Let b = 2 - w. Let s = 0.27983 - b. Round s to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 28236*p**2 + 113092*p + 593292.\nAnswer: -4*(p - 7)*(p + 3)*(p + 7063)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4770, -4767, -4764, -4761, -4758, -4755?\n\"Answer: 3*w - 4773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 804, 4246, 13618, 31884, 62008, 106954, 169686?\n\"Answer: 494*s**3 + s**2 - 19*s + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3313933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1527686.\nAnswer: 2, 763843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*-2*-2.\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 178414153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -7, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:35 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*a - 8099 + 8099 - 99*a as f*a + o and give f.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*i - 4 = 0, 0 = -11*a + 6*a + 5*i + 5. Let j(f) = -f**2 + 2*f + 4. Determine j(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from okkmkokkovomomomm.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 68 = -5. Calculate the remainder when p is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 8) + -6 - -20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1.7, 19\/5670, -19.\nAnswer: -19, -1.7, 19\/5670, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y - 3*y - 4*y + (1 + 0 - 2)*(y - 3*y + 0*y) + 71*y - 95*y - 67*y.\nAnswer: -90*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, -0.2, -0.05, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 + 33*x + 9. Let l(m) = -m**3 + 16*m + 4. Give 9*l(k) - 4*w(k).\nAnswer: -k**3 + 12*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001575 rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/y**8)\/y*y)\/y**(-17))**(-46))**(35\/2))**48 assuming y is positive.\nAnswer: y**(-386400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-88)*((-6)\/27)\/(1\/1)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.4, -0.4, -59, -13, 3.\nAnswer: -59, -13, -0.4, 1\/6, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/399 and 70\/514197.\nAnswer: 3599379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 45*k**5 + 17637*k**4 - 54357*k**3 + 60363*k**2 - 28428*k + 4740 = 0.\nAnswer: -395, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3723618477337 plus 3?\nAnswer: -3723618477334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 - 9*p. Let g(t) = -9*t**2 + 19*t. Let z be ((3480\/72)\/(-29))\/(10\/36). What is z*g(b) - 13*s(b)?\nAnswer: 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*z - 4. Suppose 4*v = 3*s - 16, 0 = 4*v + z - 0. Suppose 81 = s*c - 1107. What is the greatest common factor of 27 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3\/8, 19, -0.82, -0.159?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 215564963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m + 280. Calculate g(-15).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45260 is divided by 321?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/3032 and -91\/64?\nAnswer: 24256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2642\/(-3))\/((-8)\/18). Let q = a - 1938. What is the common denominator of q and ((-4)\/(0 + 4) + 26)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 1)\/(49\/343). Let y(z) = z**3 - 9*z**2 + 16*z - 11. Let i be y(o). Solve -c - i*c = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhchhchhh.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o - 4*o - o + (5*o - 49 + 49)*(3 - 2 - 2))*(-3*o**3 - o**3 + 2*o**3).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 25 = -h + 28, -6*h + 1 = 5*m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 p when four letters picked without replacement from wbaabwampppp.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 717*h - 11*h**2 - 717*h. Let r(y) = 5*y. Determine f(r(s)).\nAnswer: -275*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1960 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 3*p + 2*p. Let l(o) be the first derivative of -29*o**2 + 7331. What is l(a(k))?\nAnswer: 116*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 273, 286, 299, 312, 325?\n\"Answer: 13*x + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3609631 and 1773?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12792 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c)\/(c*c**(4\/7)\/c))\/(((c*c**2)\/c)\/c)**(-16) assuming c is positive.\nAnswer: c**(101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1750 and -0.5?\nAnswer: 1750.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2033333*v**2 + 4*v + 12. Let r(f) = -2*f**2 + 39*f + 14. Let j be r(20). Let n be w(j). What is n rounded to the nearest 1000000?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -8*y**2 - y - 1. Calculate n(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.04 - -0.04. Which is the third smallest value? (a) t (b) 4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 6*d + 4. Suppose d*r - 212 - 1 = -5*a, 0 = 4*a + 3*r - 169. List the prime factors of a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/9 - 74*a**4\/9 - 324*a**3 + 5972*a**2 - 12078*a - 98010 = 0. What is a?\nAnswer: -33, -3, 9, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 - -86. Let t(a) = 25*a**2 - 4*a - 5. What is the tens digit of t(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 18 + 32. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6207 is divided by 2432?\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 10*t**2 - 16*t**2)*(t + t**2 - 2*t**2 - t**2).\nAnswer: 20*t**4 - 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010286 to seven decimal places.\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9813339 is divided by 4766?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + -38. Suppose 12*z - 10*z = -9*z. Factor 16 - 392*v**3 + 384*v**3 - 4*v**4 + t*v + 12*v**2 + z*v.\nAnswer: -4*(v - 2)*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -j - 0. Let v = -5 - j. Is 7 a factor of v + -2 - (-64)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*w**3*y - 2*w**3 - 3*w**2*y + 18*w*y + 544 wrt y?\nAnswer: 11*w**3 - 3*w**2 + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 2*q**3\/3 - 2*q**2 - 2. What is the second derivative of n(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 22\/3*r**3 - 22\/3*r - 1\/3*r**4 + 7 - 20\/3*r**2 = 0?\nAnswer: -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23497*o - 100912 = 24981*o for o.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 17148887.7 to the nearest 1000.\nAnswer: 17149000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 4:48 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 19 = -79. What is the highest common factor of 8 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00223945923 to five dps.\nAnswer: 0.00224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 53*k**2 - 4*k - 232. Determine g(-53).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -12 (c) 195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/25))\/o)**(28\/3)*o*o\/(((((o*o**(-3\/14))\/o)\/o)\/o)\/o*o)*o*o**(-2\/5)\/o assuming o is positive.\nAnswer: o**(3221\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + -2 - 4*sqrt(637))*-5)**2*-3.\nAnswer: -516075 - 6900*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buubuugmmdbg. What is prob of picking 1 m and 1 d?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 7*t**4\/4 - 5*t**2\/2 + 8*t - 30. What is the second derivative of m(d) wrt d?\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 6. Let x be g(-10). Let s be x - ((-35 - 2) + 1). What is the remainder when (48\/32)\/(3\/s) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5710*w - 40256 = -6968*w for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1 + 1 + 2*n. Let t(i) = 2 - 3*i**2 - 2. What is t(r(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 3:22 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -240604*0.267\nAnswer: -64241.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**2 + 520*n + 515 = 0.\nAnswer: -103, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*2*2\/8. Suppose -3*k - 5*r - 26400005 = 0, 3*r = -3*k - z*r - 26400003. What is k rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*b - 17*b - 8*b - 13*b + 14*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6845797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b87aa (base 15) to base 12.\nAnswer: -187b744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from qgw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b2b95 (base 14) in base 7?\nAnswer: 15541445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 32*p + 1. Let u be d(-4). Let t = -81 - u. Does 23 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - j + 6, 4*j = n - 4*n + 9. Let c = n - -46. What is the remainder when c is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31, 127, 287, 511?\n\"Answer: 32*w**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 5 + 45. Suppose 4*g - 6*g + c = 0. Suppose 0 = -3*b + 12, -f - 28 = -g*f - 3*b. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*q - 309 - 47, -98 = -q - 5*k. Let d(h) = -20*h**3 - 22*h**2 - 22*h. Let r(p) = p**3 + p**2 + p. Give q*r(b) + 4*d(b).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2229 and 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1890 = 24*o. What is the greatest common divisor of o and 1120?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 1. Let w be 1\/4 - 17\/4. Let p be x(w). Suppose -2*y + 5 = -5*k, -k - 4*y + 8 + p = 0. Solve -2*l = k + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219 + -297.2. Let u = -88 - a. Let m = 10 + u. What is the smallest value in 2\/13, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.46 + 3.46. Let t be (((-12)\/(-7))\/4)\/(-1). Sort -3, t, z in decreasing order.\nAnswer: z, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*t**5 + 220*t**5 + 12*t**3 + 124*t - 12*t**3 - 29*t**5 wrt t.\nAnswer: 6540*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1878)\/(-5) - 8\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/143 and -9 - 1917045\/20592*2\/(-20)?\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + 5*w)*(w - 6*w - w) - 1 + 1 - 2*w**2 + 18 - 18 + 12*w**2 + (2 - w - 2)*(w - 1 + 1) - w**2 + 4 + 3*w**2 + 4*w**2.\nAnswer: 3*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-85*f**2 - 134*f**2 - 349*f**2)*(-1 - 1 + 6) to the form i + u*f**2 + b*f and give u.\nAnswer: -2272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**2 + 3*k**2 - 6*k**2)*(-5*k - k + 4*k) + 16*k**3 + 112*k**2 - 112*k**2 to i + z*k + d*k**3 + s*k**2 and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212718 and 2178.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -20 + 63 + 4*d - 15 - 16 - 18. Determine j(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1506*q - 438. Let l be i(-11). What is the highest common divisor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -333, -925, -1791, -2925, -4321?\n\"Answer: f**3 - 146*f**2 + 119*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 192221 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 21 + 27. Find the third derivative of -2*p + 36*p**2 - 8*p**t - 24*p**2 - 10*p**2 - 3*p**5 wrt p.\nAnswer: -960*p**3 - 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/63*3*3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -96*g**4 - 939*g**3 + 3393*g**2 - 3585*g + 1227 = 0?\nAnswer: -409\/32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 9 - 4 + 2*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 76 = 4*g + 11*f - 29*f, -2*g + 3 = 2*f + 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3)\/(t\/(t**4*t)))\/((t\/t**(-6\/11))\/(((t**4\/t)\/t)\/t)))**(3\/17) assuming t is positive.\nAnswer: t**(103\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -63. Let h = -36 + q. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**4\/6 - 133*o**3\/3 - 262*o**2 + 161*o - 11. Factor z(v).\nAnswer: -2*(v + 2)*(v + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84898044 to the nearest integer?\nAnswer: 9214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - 1) + -40 + 50?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 0 - 3*a + 1\/42*a**7 + 0*a**5 + 0*a**6 + 0*a**3 + 0*a**2 - 1\/12*a**4. What is the third derivative of m(s) wrt s?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6106300 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36\/(-54) - 11866\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15138, 30123, 45102, 60075, 75042?\nAnswer: 90003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -3) + -3 - (-172 + 183)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23015848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 302\/113 + -2\/339. Solve 2\/3*x + 4\/3 - j*x**2 - 2*x**3 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o + 12 = 0. Let t(p) = p**3 + 2*p**2 - 3*p. Let g be t(2). Suppose -2*x + g = -0*x. Solve -o*j + 1 = -x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**7\/1470 + a**6\/210 + a**5\/70 + a**4\/42 + 2*a**3 - 31*a. Let g(d) be the second derivative of b(d). Factor g(o).\nAnswer: 4*(o + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-2)*88\/(-198)*(-81)\/18?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2056\/3 + 695. Calculate the common denominator of (-182)\/1*2\/(-120) and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -36*m**2 - m. Suppose 0*p - 1 = -p. Let n be j(p). Let i = n - -52. Solve -i = 6*c - c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x. Let s be ((-21)\/(-6) - 2 - 0)*(-54)\/(-81). Let m(z) = -z**2 + 6*z - 5. Let l be m(5). Let r(t) = -4*t + 8*t + 0 + l. What is s*r(w) + 2*k(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5500751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1723189840?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w. Let x(n) = -10*n. Let s(j) = 11*g(j) - 6*x(j). Let f(u) = u**3 + 6*u**2. Let l be f(-6). Let z(d) = -2*d + 3*d + l*d. What is z(s(v))?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 12 = 0, -2*v - f + 19 = 4*f. Suppose 0 = x - 3*k + 13, -2*x - 16 = -6*k + 2*k. Suppose -v*n - x*n**2 - n - n = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-64)\/(-20)*-14)\/((-11)\/(-55)). What is the common denominator of r\/6432*(1 + 3) and -121\/12?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 28*b + 14. Let j(z) = -z - 2. What is 4*j(w) + y(w)?\nAnswer: 24*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11551.223 - 11556. Let t = l + 0.077. Round t to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -33, 2, 1.3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 25*q - 12. Let t(j) = -29*j + 12. Let u(d) = -5*t(d) - 6*w(d). Let b(n) = -14*n + 35. Determine -3*b(z) + 8*u(z).\nAnswer: 2*z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-5))\/(-12)*(-6)\/(-4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6173 minus -49.6372?\nAnswer: -6123.3628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - 22606\/(-534)) + (-214)\/3\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + 2*m**3 - 2*m**3 + (-1 + 1 - 2)*(0 - 4 - 2*m + 2*m**2 + 2)*(8*m + 0*m - 2*m).\nAnswer: -23*m**3 + 24*m**2 + 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2477852362\nAnswer: 2477852361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628 - 9*j**2 + 67*j**2 - 17*j**2 - 628.\nAnswer: 41*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12474065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*k**3 + 6*k**2 - 44*k**3 - 13*k**2 + 6*k**2.\nAnswer: 179*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 59*c - 60*c - 14 - 25.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -382510.113 to the nearest 1000.\nAnswer: -383000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25007 = 30*f + 1427. What are the prime factors of f?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34474 - -3?\nAnswer: 34477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 - -0.1. Let i = w - -5. Which is the biggest value? (a) -2\/3 (b) i (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*(4*-2*sqrt(392) - sqrt(392))\/sqrt(8))\/(-5*(-2*(sqrt(84)*2 + sqrt(84) - sqrt(84)))\/sqrt(12)))**2.\nAnswer: 967\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2451209\/6 - -409649. Let a = 5576\/5 - c. Let p = -326\/5 + 4547\/60. Calculate the common denominator of a and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 != 508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7310 + 7646 - 1679 = 1207*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -25. Suppose -3*o = 0, 0 = c*j + 2*o - 6*o + 90. Let l = j + 26. Solve -4*u - l - 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 1.8249\nAnswer: -0.18249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 4*l - 5*o + 12, -3*l - 10 = -4*o. Let w(j) = 6*j**3 - 5*j**3 + j**2 - 2*j + 3*j**3. What is the tens digit of w(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12ec (base 16) to base 7.\nAnswer: -20060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -9*y**3 - 7*y**2 + 5*y. Let r(o) = 4*o**3 + 3*o**2 - 2*o. Determine -7*r(q) - 3*t(q).\nAnswer: -q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 + -3 + (2 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/9 (b) -11\/5 (c) 1 (d) -1\/3 (e) -2\/73\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99381791.\nAnswer: 293, 339187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17616 by -8808.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 a when three letters picked without replacement from jajajjjjaj.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(114) + 2*sqrt(114)*-4))\/(sqrt(24)\/sqrt(64) + (sqrt(6) - (sqrt(30) + (sqrt(60)\/sqrt(2) - sqrt(30)))\/sqrt(5))).\nAnswer: -168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((21382\/7514)\/((-2)\/(-3)))\/3. Let t = i + 1\/3757. What is the common denominator of t and -37\/3?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 21. Suppose -3*w - w = -r. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95933, 99624, 105775, 114386, 125457, 138988?\nAnswer: 154979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 10:55 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let r(h) = h + 1. Suppose 5*v + o = -9, 5*v - 1 = 2*o - 13. Let u(d) = 2*d + 1 - d + 1. Let c(y) = v*r(y) + u(y). Determine t(c(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + y**4 - 2*y**3 - 4*y**3 + 3*y**2 + 4*y**3 + y**4 in the form i + o*y**2 + b*y**3 + r*y**4 + g*y and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**6\/360 + i**5\/20 - i**4\/6 + 2*i**3 - 11. Let b(z) be the third derivative of m(z). Determine b(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 0*f - 3*f + 5*f. Let w be r(1). Suppose 3*i + w = i. Let o(y) = -6*y**3 - 1. Give o(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d + 28 = 0. Let v = -2 - d. Suppose -4*x = -3*j + x + 592, 3*j = -v*x + 542. Calculate the highest common factor of 27 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/20 and 71\/15680.\nAnswer: 15680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 361 + -353. Solve -2*a + l = 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1016188, 1016143, 1016098, 1016053, 1016008?\n\"Answer: -45*q + 1016233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*((sqrt(1584) - sqrt(1584)*-2) + -3)**2.\nAnswer: -864*sqrt(11) + 57060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -21.\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (189 - 13*b - 88 - 98 + (0 + 4 - 2)*(2*b + b - 4*b))*(7 - 7 - 10*b).\nAnswer: 150*b**2 - 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/10101512 and -41\/3788067.\nAnswer: 30304536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 - 12*l**2 + 39*l**2.\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/3, -2\/515, -9.479, -17?\nAnswer: -2\/515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000287917 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:38 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1316 and 5376.\nAnswer: 252672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/16 - ((-1997)\/2772 + 160\/360*1)\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 2\/3, -4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n + 129. Let b(d) = 11*d**2 + 30. Calculate b(p(o)).\nAnswer: 176*o**2 + 11352*o + 183081","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 7) to base 6\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44563?\nAnswer: 44563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 - k**4 + 0*k**2 + (5 - 3*k - 5)*(-3*k**3 + 2*k**3 - k**3) + (4 - 1 - 4)*(0*k + 3*k**4 + 0*k) as p*k**4 + t*k + s + d*k**2 + r*k**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 269*i**2 + 2*i. Let r(g) = 81*g - 51*g - 31*g. Calculate r(f(l)).\nAnswer: -269*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.8 - -5. Let v(x) = -x**2 - 5*x + 14. Let r be v(-10). Let o be (-2)\/(-1)*r\/(-24). Which is the nearest to k? (a) o (b) -3\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8347 - 6288. Is n a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((1*sqrt(2299)*1 + sqrt(2299))*-2 - (-4 + (sqrt(1216) + sqrt(1216) + 1)*5)) + -2)**2.\nAnswer: 1488*sqrt(19) + 292180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8 + 0*c**2 + 4 + c**2. What is the units digit of v(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104522 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.051 - 0.049. Which is the closest to 4? (a) -3 (b) g (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-1)\/(-3)*3). Suppose -r*m + 13 = 3. What is the second smallest value in m, 5, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4*z = 10, 0*g - 15 = -3*g + z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 9. Let z be 10\/105*7 + (-4)\/6. Let j be l(z). What is the greatest common factor of 27 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -343 + 343.4. Sort -6, p, -4 in increasing order.\nAnswer: -6, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 285 - 281. Suppose q - 3*r + 4 = -3, -4*r + 4 = 0. What is the biggest value in -5, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4175 (base 11) in base 3?\nAnswer: -21120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from jizlile?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*h - h, -h - 10 = 4*a. Let z = -8 + 13. Let f = -2 + 16\/7. What is the closest to f in z, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3)**0\/(n\/(n\/n**13)*n*((n*n*n**4*n*n)\/n)\/n))**49 assuming n is positive.\nAnswer: n**(-980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*h + 60326 + 15155 = 0, 4*h = -3*u + 113239. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 1.586\nAnswer: -0.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.491 and 0.034?\nAnswer: 2.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 29, 0.3, 0.6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9665 + 6904. Let s be (-9)\/(-3) - (1400 + 3). Let o = s - u. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -180. Suppose 2*h - 3*j = -0*j + n, -2*h + j = -149. Calculate the remainder when h is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -2 - (69 - 69).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2))**7*h**3*h**(-5)*(h*h\/(h*h**(3\/8))*h\/h**(-5)*h)\/(h**(-2\/5)\/((h*(h*h**(-5))\/h)\/h)) assuming h is positive.\nAnswer: h**(181\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a, 34 = -3*m + 5*a + 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 4) to base 13.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 652\/2877 - 18\/137. Let h(s) be the first derivative of -p*s**3 + 0*s - 4\/21*s**6 + 6 - 22\/35*s**5 + 1\/7*s**2 - 9\/14*s**4. Factor h(k).\nAnswer: -2*k*(k + 1)**3*(4*k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 9:57 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by 90.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 103 = 31. Calculate the highest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**5 + c**5 + 194*c**2 - 189*c**2 wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, j: 3, w: 1, l: 6, c: 3, q: 5}. What is prob of sequence wxc?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 10:27 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 470257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 281426900 a multiple of 1030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**9*h*(h**(4\/9)*h)\/h)\/(h**(2\/21)\/h*(h*(h*h**15*h*h)\/h*h)\/h))**(10\/3) assuming h is positive.\nAnswer: h**(-2300\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2874, -2876, -2878, -2880, -2882, -2884?\n\"Answer: -2*c - 2872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83740 is divided by 41859.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 27*v**2 + 30*v - 56. Give w(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 6*j - 5 = 4*u, -3*j + 15 = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 710, 1397, 2094, 2807, 3542, 4305, 5102?\nAnswer: 5939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/30781966 and -11\/63863.\nAnswer: 30781966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 + (-128)\/90. Let i = v - -64\/45. Is i < 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4389 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 35000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 772*o**2 + 39*o + 64. Is n(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -847 + 328. Let d = z - -365. Which is smaller: -155 or d?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -542*t - 3141. Give x(-6).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(3*(-3)\/(-522)). Suppose -3*n = -0*n - 126. Suppose -5*a + k = -n. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2424279010.\nAnswer: 2, 5, 89, 2723909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.055 * 1.5524378.\nAnswer: -0.085384079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -6.7. Which is the closest to -3? (a) -1\/7 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 576?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, -144, 329\/5, 0.3 in descending order.\nAnswer: 329\/5, 0.3, -0.1, -0.5, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((-6 - 0) + -7 + 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14976389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 3. What is n(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 94 = 25*u - 15*u, -4*u = -4*b - 0*b - 60 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2537800 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + y - 216 = -4*m + 5*y - 221, -5*y = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*l + 89*l + 15 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5410*d + 740.\nAnswer: -5410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -3*c**2\/2 - c - 239. Let w(n) = -3*n - 1. Give 3*d(m) - 2*w(m).\nAnswer: -3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/32 in -0.2, 5, -68, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 9*u**5 - 33*u**4 - 117*u**3 - 63*u**2 + 48*u + 36 = 0?\nAnswer: -1, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 151 - 41. Let v(q) = 5*q**3 + 11*q - 11. Let w(o) = 4 - 4*o - o**3 - 2 + 2*o. Let z = 6 - 2. Calculate l*w(k) + z*v(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -7. Let n = -5 - t. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 1344?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*-2*sqrt(117)*-6*-3*-3.\nAnswer: 5832*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j - 69. Let t = -3 + -20. Let w be a(t). Solve d + 4 = -w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26968 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 17. Let f = 9 - 6. Let p = f - -26. Calculate the remainder when p is divided by o(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12939 + 12939. Let g(h) be the third derivative of -25\/24*h**4 + 3\/10*h**5 + 0*h**3 + c*h + 0 + 14*h**2. Find the second derivative of g(z) wrt z.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3*p + 9 = 0, 2*l = 27*p - 32*p - 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 384513953 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**3 - b**2 - 2*b - 1. Let v be z(-1). Let s = 1 + v. What is the units digit of 2 + 3 - s*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1371, 1284, 1203, 1134, 1083, 1056?\n\"Answer: w**3 - 3*w**2 - 85*w + 1458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 143574622*d\/3 - 95716412\/3.\nAnswer: -2*(d + 23929103)*(3*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4\/6 - 183326*p**3\/3 - 12834083*p**2\/6 + 2322339*p + 4400244 = 0. What is p?\nAnswer: -36, -1, 2, 366687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*(1*sqrt(2304) - sqrt(2304)))\/(-2*(sqrt(60)*2)\/sqrt(5)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.48167 + -2.48. What is h rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 901151324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7778.\nAnswer: 2, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 103872*i + 36505?\nAnswer: 103872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 8:46 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/9)\/(2\/(-12)). Suppose 0 = 5*a - x + 12. What are the prime factors of (a\/1 + 1)*-20?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -522626163?\nAnswer: -522626165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/80 and -5\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 306, 307, 306, 303, 298?\n\"Answer: -t**2 + 4*t + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooyooooyjooooy. Give prob of picking 1 y and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186 - -185. Sort -5, 4, i, 2 in descending order.\nAnswer: 4, 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 1\/130, 1424 in ascending order.\nAnswer: -5\/2, 1\/130, 1424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, k: 1, z: 1, v: 3}. What is prob of picking 1 o and 1 z?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-6 - (-5 - -36)) + 4 - -6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 66*w - 110. What is c(65)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*t - 37 = 0, 2*t + 0*t + 10 = 0. Suppose 4 = -k + j*k. Solve -2*n = k - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4940 - 4936. Determine l so that -4\/5*l + 8\/5*l**n - 4\/5 + 12\/5*l**2 + 4*l**3 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -2\/25 (b) 1\/18 (c) -6\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3851 or -20210?\nAnswer: -20210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 97 and 296?\nAnswer: 28712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.24, -0.1, -164.1?\nAnswer: -164.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3776 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.127?\nAnswer: -0.0381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*(sqrt(84)*-2*3 + sqrt(84)))\/((-4*sqrt(132)*-1)\/sqrt(11)).\nAnswer: -5 + 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 263814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 18379.308 to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219749\/16 + -13728. Let d = 3389\/18 + -1676\/9. Find the common denominator of x and d.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-4 + (8 - 5)) - -1) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08130927 - 0.03869205. Let n = 0.12 + h. Round n to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-460)\/(-26))\/(-2) - (-82)\/(-533). Suppose -5*s = 3*l + 20, l + 3*s + 12 = 4*l. Put l, h, -4 in decreasing order.\nAnswer: l, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14005, 16186, 18367, 20548, 22729?\nAnswer: 24910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1738033\/38 - -45735. What is the common denominator of o and 20\/2 - (-3861)\/(-495)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*u - 0*u - 4*h, 0 = -2*u + 2*h + 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 265564 and 4473732.\nAnswer: 58158516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y = 5*y + 51, -14 = -4*w + 2*y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*y**4 + 2504*y**3 - 9209*y**2 wrt y.\nAnswer: -72*y + 15024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/78 - ((-13)\/(-6))\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 415 by -6.\nAnswer: -415\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - i - 114 = 0, -5*s - i - 2*i + 578 = 0. Suppose -s = 5*l + 35. Are l and -30 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 6*z**2 + 12*z - 16. What is a(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*f**3*k**2 + 275*f**3*k*o + 12*k**2*o + 3*k*o wrt k?\nAnswer: 64*f**3 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + j + 2. Suppose -3*g + 1566 = j*g - 2*w, 951 = 3*g - 5*w. Suppose 2*x - 146 = 3*y, 3*x = 7*x - y - g. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**2 + 2*n**2 + 2*n**2)*(60*n - 200 + 200) - 4*n**3 + 2*n**3 + 0*n**3 to the form z*n**3 + u*n**2 + c + s*n and give z.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.87 - -1.733. Let o = -3.863 + k. Sort -0.5, -1, -0.4, o in increasing order.\nAnswer: o, -1, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -189*t**3 + 72*t**2 - 72*t + 72. Let c(g) = 13*g**3 - 5*g**2 + 5*g - 5. Give 5*b(d) + 72*c(d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 808 - d2da?\nAnswer: -c9d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 26*z - 620. Let g be o(8). Are -418 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 - 64. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 - 5*w**3 + 2*w**3 + 8*w**3 - 5. Let h(z) = z**4 + 4*z**3 + 3*z**2 - 4. Let v(r) = 4*b(r) - 5*h(r). Find the third derivative of v(y) wrt y.\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/7 + 4*y**4 + 96*y**3\/7 + 100*y**2\/7 + 34*y\/7 = 0 for y.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2226.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n**(2\/15)*n))*n**(-11\/5)*n**(3\/8)\/(n\/(n**(-3\/4)*n)) assuming n is positive.\nAnswer: n**(-173\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -341976 - -1709886\/5. Suppose -7\/5 + 1\/5*k**2 - m*k = 0. What is k?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-464 - 5)\/((-1)\/1) + -3. What are the prime factors of (-12 + 11)\/((-2)\/g)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 + 9) - (-8 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Suppose z - 23 = -2*p + k, -70 = -3*p + 5*z. 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: Simplify ((-3*sqrt(800))\/(sqrt(50)\/sqrt(5)*3))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65873120 + 5?\nAnswer: -65873115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -846.55154 to the nearest 10.\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 399190 divided by 2\nAnswer: 199595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-3)*13\/(572\/99)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, r: 6, n: 4}. Give prob of sequence znn.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {g: 2, k: 5, r: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.560029ml in litres?\nAnswer: 0.005560029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from wwwwwwwm.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02339434 rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g + 97. Let w(o) = o**2 - 22*o + 54. Let s be w(17). Let p be i(s). Solve -l = 4*m, p*l + 0*l = m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**2*o**3 - 3*b**2*o - 8*b**2 + 96*b*o**5 + b*o + b - 82*o**2 - 992*o wrt o.\nAnswer: 42*b**2*o + 1920*b*o**3 - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30661 (base 7) to base 13.\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4860, -2070, 2582, 9096, 17472, 27710, 39810?\nAnswer: 53772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 - (-1 + 10 + -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 15*d**2 + d - 2. Let k be j(15). Let i = -13 + k. Suppose -3*v + 2*v + 2 = i. Is 2 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8669*r**3 + 535*r**2 + 6*r + 2. Let t(d) = 34673*d**3 + 2141*d**2 + 26*d + 9. Let a(p) = 9*n(p) - 2*t(p). What is the third derivative of a(g) wrt g?\nAnswer: 52050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1949\/756 + 1\/189. Find the common denominator of -121\/12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8669179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n + 2. Let u(q) = -7*q + 59. Let b be u(8). What is the first derivative of -7*j - b + n + 0 wrt j?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6\/(t**(1\/15)*t))\/(t**(-1)*t)**(-7\/2))**(11\/5) assuming t is positive.\nAnswer: t**(814\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 18*x**2 - 94*x - 1249. Give q(-11).\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 637702?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + 352\/(-4))\/((-2)\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((1\/3)\/(-1))\/(923\/426). Suppose -44 = -6*v + 4. Which is the closest to 1\/3? (a) -0.1 (b) v (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.5. Suppose p - 18 = -4*k + 4, -5*k + 25 = 0. Suppose -7*n = -p*n - 19*n. Which is the third biggest value? (a) 2\/11 (b) -15 (c) n (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 552629.7 kilograms?\nAnswer: 552629700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1.2, -160 in descending order.\nAnswer: 1.2, 0.2, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -23*x + 15*x + x**3 + 4 + 4*x**2 + 13*x. Give c(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/60 - z**5\/15 + 31*z**4\/12 - 28*z**3\/3 + 1370*z**2. Factor u(w).\nAnswer: -2*(w - 4)*(w - 1)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnrksvnrsprn. What is prob of picking 1 r and 1 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n - 6. Determine t(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 3\/11, -873?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbz when three letters picked without replacement from {y: 3, x: 3, p: 2, b: 1, v: 1, z: 3}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(1\/(2\/(-4))))\/(225\/(-15)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8) + 5 + (-834)\/156.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**3 - 4*z**2 - 56*z + 4. Is m(-5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11099 - 11222. Let f be (45363\/12)\/(3\/12). Let w = f + c. What is w rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 353257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.04, 0.1, 17449, 0.2, -0.1, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 9*l**3 - 3*l + 2*l**3 + 4.\nAnswer: -7*l**3 - 7*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/72 and 25\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 285*k. Let g(d) = -6*d**2. Give g(l(q)).\nAnswer: -487350*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1119348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 23 = -5*i, 2*i = i + 5. Let h = b + -12. Solve -5*l = o + 28, h = 5*o + l + 2*l + 30 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, 1765, 5976, 14167, 27664, 47793, 75880, 113251?\nAnswer: 161232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 11) to base 7.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 882892.6 kilograms?\nAnswer: 882892600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and ((-72)\/(-14))\/(2\/7)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 + 78 = -42*p. Solve 5*y - 37 = 3*a, 2*y - 6*y - 3*a = -p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -9*d + 7. Let q(v) be the third derivative of -v**4\/6 + v**3\/2 - 5*v**2. Determine -13*q(k) + 6*s(k).\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 22. Suppose p = n - 485, d*n - 1447 = 2*p - p. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itt when three letters picked without replacement from iitttiiititt.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 85 - 199 + 163 - 2700*l - l**3 - 90*l**2. Solve z(m) = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 3. Calculate o(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1064*p - 394*p - 2248*p + 176*p - 2084*p.\nAnswer: -3486*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114.35 + -129.47. Let d = 242 + g. Round d to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (3*(1*sqrt(3) + sqrt(3)) - (sqrt(18)\/sqrt(96) + sqrt(3)))**2.\nAnswer: 1131\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.30954929 and -0.2?\nAnswer: 0.10954929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -265 - 28*o**3 + 86 + 2*o + 218 to the form q + h*o**2 + w*o**3 + k*o and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2580775238854 and -0.4.\nAnswer: -2580775238854.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -37, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bssspbrss. What is prob of picking 2 s and 1 p?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 7. Let g be o(0). Let a be g\/((-21)\/(-18)) - 1. Let v(s) = -s**3 - 8*s**2 - 10*s + 1. Is 11 a factor of v(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-3\/19)*t**(4\/11)\/((t\/(t\/(t\/(t\/(t\/(t\/(((t\/(t**2\/t*t))\/t)\/t)))))))\/t) assuming t is positive.\nAnswer: t**(48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 252826.1601 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45464 and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -713*w + 3 - 3 + 713*w - 2*w**3 + 2*w**4 + 2*w**5 - 2*w**2.\nAnswer: 2*w**2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/907584 and 149\/12564366.\nAnswer: 402059712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10088 and 312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-2))\/((-4)\/8). Let s = 1 - g. Suppose -b = 3*b + 4*y - 32, s*b - 2*y = 50. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 176\/(-24))*45\/30.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4640 is divided by 72.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 15) + (8 - 10) + -67 - -8?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*m + 1842*m = -92797 for m.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2881 - 2879. Suppose w = 4*w - 60. Suppose b*g = -8 + w. What is the greatest common divisor of g and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*m - 40 = 97*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-19 - -22) - 20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 7*f = -10. Let j(w) be the second derivative of w**5\/20 + w**3\/6 - w**2\/2 + w. Let a(i) = -2*i**3 - 2*i + 1. What is f*j(v) - 3*a(v)?\nAnswer: v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 18*o + 35. Let z be p(-16). Let w(d) = -d**3 + 3*d**2 + 3*d - 6. Let k be w(z). What is the units digit of k\/(-2)*(1024\/(-12) - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + a**4)*(50*a + 14*a - 10*a) - 3*a**5 - 10*a**4 + 10*a**4 - a**2.\nAnswer: 51*a**5 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/1721, -7\/10, 2?\nAnswer: -2\/1721","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.0058481?\nAnswer: -0.0058481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 61919 and 61919 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqww when four letters picked without replacement from {w: 3, q: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 7. Let p be k(5). Suppose -g - 14 = -p*g. Let h = 117 - 19. Calculate the greatest common factor of h and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -j - v, 0 = -2*j + v + 2 - 5. Let c be 2*(1794\/(-104) + (-1)\/j). What is c rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -88, -126, -184, -268, -384, -538?\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 10*n**3 - 3*n**3 - 6*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2156 and 1102618.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5236 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 7\/2*h**2 + h**3 + 0 - 21*h. Let i(o) = 2*o + 2. Give -2*g(p) + 7*i(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**5\/20 + w**4\/3 - w**3\/2 - 3*w**2 - w. What is the remainder when 15 is divided by l(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -682*j**3*z - j**3 + 36*z**3 + 31837 wrt z?\nAnswer: -682*j**3 + 108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2. Let w(f) = -f - 11. Let n(v) = -2*w(v) - 11*x(v). Let m(a) = a + 3. Let k be m(0). Let t(d) = -k*d**2 - d + d. Calculate t(n(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26047 + 26059. Let r(c) = c**2 + 6*c + 1. Let k be r(-3). Let i(d) = 2*d**2 + 12*d + 6. Calculate the remainder when i(k) is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60247 + 103267. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c - 25. Let y(h) = h - 2*h + 0*h. Calculate the remainder when x(9) is divided by y(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 1:49 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1794, 1793, 1792, 1791, 1790?\n\"Answer: -l + 1795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-8\/11))\/(a\/a**(-3\/5)) assuming a is positive.\nAnswer: a**(7\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -59, -138, -249?\n\"Answer: -16*n**2 + n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -11)\/(3 - 8\/3). Let u = 39 + m. Suppose 2*g + 136 = u*g. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2703 or 2702?\nAnswer: 2702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27681934 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**7\/2520 + 7*x**5\/120 - x**4\/2 + 3*x**3\/2 + 6*x**2 + 7. Let f(s) be the second derivative of p(s). What is f(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 56*i - 1050. Calculate s(25).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 1. Let x be m(-1). Let u be -1 + 0 - -3 - x. Suppose -1 = u*k - 9. Calculate the remainder when 15 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4871, 4789, 4707, 4625?\nAnswer: 4543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 363.71543525 - -3.2?\nAnswer: 366.91543525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1243469591 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24187336352.2 + 489.\nAnswer: 24187336841.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80\/(4 + 0) + -1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542902359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*5)\/sqrt(12))\/(-4*sqrt(3)*-4)*5.\nAnswer: 25*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.82 times 1567.9?\nAnswer: -13828.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13121 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) -4\/3 (c) 3 (d) 5 (e) -0.1 (f) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from {b: 4, s: 1, l: 2, p: 1, d: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -376 and -1.217?\nAnswer: 457.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 5625.\nAnswer: 16875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 434631 divided by 1\nAnswer: 434631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -7, 3, -3\/131, 0.9 in ascending order.\nAnswer: -7, -0.3, -3\/131, 0.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3092.146 millennia to decades.\nAnswer: 309214.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upuu when four letters picked without replacement from pppupuppuppppppppppp?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 1 - 4. Suppose 3*r + r - 131 = -y, -f*r = -4*y + 619. Suppose -4*a + y = -37. List the prime factors of a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2267379970 - 1273374265. Let t = q + -994005750.0000057. Let w = t + 45. Round w to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 65*b**2 + 231*b - 7. Let k be v(4). Solve k*j + 3*s = -1, 3*j - 2*s = 7*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1042 (base 5) to base 2.\nAnswer: -10010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-315)\/(-1197))\/(5*3\/6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - ((-32)\/4 + -30). Solve 0 = -2*u - 5*f - 20 + 5, -3*f = -4*u + z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.45 + -2.55. Which is the closest to w? (a) 3 (b) 3\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {d: 2, z: 4, v: 2, h: 3, x: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 751335406 to the power of 1\/3, to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0 + 0 + (-1 + 0 + 0)*(0*a - a - a))*(-2*a - 1 + 9 - 16).\nAnswer: -8*a**2 - 32*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26558.85 + 0.07.\nAnswer: 26558.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/2, -2\/19, 0.62?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3371 = -3*d - 4*b, -2*b + 0*b = 5*d - 5637. Suppose -8*p = -9*p + d. Let t = 3138 + p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7522330, -7522335, -7522340, -7522345, -7522350, -7522355?\nAnswer: -7522360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccyygcgww. Give prob of picking 2 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(40\/5937) - (-9)\/12. Suppose 4*c - k = 5*r, 0*c - 2*r = -4*c + 1470. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -13494*b**4 - 8*b - 2784. Let j(d) = -40486*d**4 - 28*d - 8352. Let q(r) = 2*j(r) - 7*s(r). What is the derivative of q(m) wrt m?\nAnswer: 53944*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -2)**2 + sqrt(19) + -1 + sqrt(19) + 1.\nAnswer: -14*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**3\/3 - 5*v**2\/2 + 4*v + 6. Let d(s) = 0. What is s?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + z + 16. Let y be (-1 - (2 + z)) + 1. Solve 0 = -y*l - 5 - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**5*m*m*m)\/(m**5\/m))\/(m**4\/m)**(-3) assuming m is positive.\nAnswer: m**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k + 144745 = 148210 for k.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxhldghglhhdhhx. What is prob of picking 2 g and 1 l?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-64)*4*(48\/(-3))\/8\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 6, 25*v - 22*v = 4*c - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42223\/66 at least 639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**5\/4 + 93*t**4\/4 - 89*t**3\/4 - 281*t**2\/4 + 231*t\/2 - 46 = 0.\nAnswer: -2, 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14334030.27 seconds in weeks?\nAnswer: 23.700446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13030, -26050, -39068, -52084, -65098?\nAnswer: -78110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 36 (b) -7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326924 is divided by 147?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18489.\nAnswer: 3, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -813*h + 815*h - 10. Solve h = 5*i - 2*r, -4*i - 25 = i + 4*r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 + 31 = -135*w - 5*b, -3*w - b = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:03 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1387, 4, 7 in increasing order.\nAnswer: 4, 7, 1387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 22*n**2 - 125*n - 1657. Give y(-20).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 - 3)*(-13 + 0*n - n + 4).\nAnswer: -5*n - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*u - 2*d + 46, -5*d = 5*u + 35. Is -13 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*(-2)\/18*-3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(64) - sqrt(4))*6 - (-4*sqrt(64) - sqrt(4)))\/(sqrt(288) + -3*(sqrt(288) - (2*sqrt(288) - sqrt(288)))) + 5)**2.\nAnswer: 35*sqrt(2) + 3817\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/12 and -16\/671539.\nAnswer: 8058468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*g**6*v - 19*g**5*v + 2*g**2*v + 4*v + 7 wrt g?\nAnswer: -1080*g**3*v - 1140*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 2*u**2 + 9*u - 19. What is z(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4904 (base 15) in base 7?\nAnswer: 63163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49036, 49139, 49242?\nAnswer: 49345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -18*l + 5. Let w(n) = 126*n - 36. Calculate -36*d(c) - 5*w(c).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9245376*d**3*m**3 - 23068*d**3 + 181*m**2 wrt m.\nAnswer: 55472256*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(-1\/3)*r*r)*r))\/(r**(1\/6)*r))\/(r**7\/r**(-1)) assuming r is positive.\nAnswer: r**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -9)\/2 + 42. Let j = a + -12. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/3 + 367*f**2\/3 - 122*f = 0.\nAnswer: 0, 1, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**4 - 3*f**4 - 2*f**4 - f**2 + (4*f**3 - f**3 - f**3)*(-1 + f + 1) - 4 + 4*f**4 + 4.\nAnswer: 5*f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 109724, 108864, 108002, 107138?\n\"Answer: -f**2 - 857*f + 110582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen eighths of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Let n = -3046 + 63967\/21. Sort -3, n, 0, t.\nAnswer: -3, 0, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(2\/7)\/d*d*d)\/(d**(2\/31)\/d*d)*(((d\/((d*d*d**(-9\/7))\/d))\/d)\/d)\/d**(-7\/5) assuming d is positive.\nAnswer: d**(4239\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53175\/8 - -6659. Calculate the common denominator of p and 1454\/(-60) - ((-693)\/(-105) - (-3 - -9)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9807 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4625186, -9250392, -13875608, -18500840, -23126094, -27751376?\n\"Answer: -u**3 + u**2 - 4625202*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4 - 1 = -2*r, 2*r = -g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12481 (base 13) to base 14\nAnswer: -c41a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58530890689 plus 0.4?\nAnswer: -0.18530890689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32 times -1237.6\nAnswer: -39603.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 (base 7) in base 15?\nAnswer: 6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -449615970 rounded to the nearest one million?\nAnswer: -450000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 84 = g. Let u = g + 34. What is the lowest common multiple of 10 and u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/198*3)\/((-7)\/(-14)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9*(-2 + 5\/3). Put 0.02, k, -1\/2 in descending order.\nAnswer: k, 0.02, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -81*k**2 - 21*k + 21. Let b(t) = 50 + 0*t + 46 + 8*t**2 + 50 + 2*t - 148. Let l be 1 - 2 - (-2 - -3). Determine l*c(f) - 21*b(f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 289967608 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 2. Suppose w*n = n + 33. What is n rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1086 + 552 - 143 - y - 164 + 50.\nAnswer: -y + 1381","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 0 + 0*b - 1\/105*b**7 + 0*b**5 - 6*b**2 + 0*b**6 + 0*b**3 - 1\/6*b**4. What is the second derivative of q(p) wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003445 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 7. Let v be o(7). Suppose v = x + k - 8, 2*x = -2*x + k + 22. What is the least common multiple of 11 and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 423\/8*g + 1095\/4 - 3\/8*g**2.\nAnswer: -3*(g - 146)*(g + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3043472 and 6?\nAnswer: 9130416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-32)\/(-48))\/((-10)\/(-9)). Let s = -7 - 33. Let o be 26\/s + 2\/8. Which is the third smallest value? (a) -4 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 31 = 4*g, -2*d - 156*g - 15 = -153*g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -15*y**3 + 328*y**2 + 38*y + 120. Give j(22).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17455, 4\/7, -0.065 in descending order.\nAnswer: 4\/7, -0.065, -17455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/49)\/((-1)\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57.4? (a) 4 (b) 1\/4 (c) 2\/19 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87.7 - 47.3. Let j = -42 + o. Sort 4, 0, j, 2\/5 in descending order.\nAnswer: 4, 2\/5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 5, i: 2, d: 1, q: 1}. Give prob of sequence iid.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/63 - -1*(-116)\/14. Let n(d) = 2*d**2 + 20*d + 11. Let o be n(z). Is -21 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 27. Suppose 0 = -i - i - 3*q - 12, -2*q = w. Suppose i = -v + 22 - 1. Calculate the remainder when 39 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 7:45 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 65, 75, 91, 113, 141, 175?\n\"Answer: 3*m**2 + m + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*a + 3*h - 8, -5*a + 21 = -3*h. Suppose a*r = -k + 7, 5*k + 2*r - 51 = 23. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 - 44*g + 33. Let q be f(45). Calculate the greatest common factor of 24 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 2. Find the common denominator of ((-225)\/(-20))\/9 - (-5)\/2*47\/(-10) and j\/6*(-243)\/(-84).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4 + 3 - 1 - 5*q. Let f(g) = 16*g - 654. Let u be f(43). Let y(d) = d - 1. Give u*y(r) + 6*a(r).\nAnswer: 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.2 and 20.594?\nAnswer: 24.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 158727*c**4 + 455368.\nAnswer: 634908*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19712 and 966.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 9:17 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7\/q*(q*q*q**(-4)*q)\/q*(q*q*q\/(q*q\/(q\/q**(-7\/2)))*q)\/(q\/(q**(-10)\/q)) assuming q is positive.\nAnswer: q**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 8:14 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(22\/(220\/175))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1331, -2647, -3953, -5243, -6511, -7751, -8957, -10123?\n\"Answer: g**3 - g**2 - 1320*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5939227, -11878449, -17817671, -23756893, -29696115?\n\"Answer: -5939222*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 4*n**2 + 2*n + 9. Let a be q(-5). Suppose a*c + 12 = 27*c. Let f(k) = k**2 + 6*k + 4. Let h be f(-4). Sort c, h, -3.\nAnswer: h, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5\/2 + 3444*y**4 - 161598*y**3.\nAnswer: 3*y**3*(y - 46)*(y + 2342)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-20))\/(4\/(-20))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*j**2 + 79*j**2 + 30*j**3 - 14*j**2 - 6*j.\nAnswer: 30*j**3 - 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 7 - 25 = -5*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/3)\/(9\/3186). Do -237 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56546 is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -188105\/95544 - 23\/1327. Calculate the common denominator of -17\/8 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 1, c: 3, i: 1, b: 1}. What is prob of sequence brip?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**4\/6 - 34*v. Let a be (14\/(-6) + 2)*-6. Let p(i) = a*i**2 + i - i. What is k(p(d))?\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2. Let w(m) = 7617682*m**2. Calculate o(w(c)).\nAnswer: -116058158106248*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4607 by 104.\nAnswer: -4607\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 2285*t**2 + 66450*t + 178920.\nAnswer: 5*(t + 3)*(t + 28)*(t + 426)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 7*l - 155. Let i = 74 + l. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -7 (c) -3 (d) 2014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 745 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 92 - 29)*((-2 + 1 + 3)*(7*z - 8*z - 12*z) + 4*z + 0*z - 3*z).\nAnswer: 2200*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 4600312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 2, -36\/35, 477?\nAnswer: -36\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1387*w**3 + 32*w**2 - 69*w + 3. What is the units digit of j(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -38*x**2 + 9*x + 18. Let b(t) = -30*t**2 + 7*t + 14. Let l(d) = -9*b(d) + 7*c(d). Let s(u) = 17*u - 4. Give l(s(h)).\nAnswer: 1156*h**2 - 544*h + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.233 to 1 decimal place.\nAnswer: 44.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -28.1 * 1687\nAnswer: -47404.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1145\/1794 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3))\/((-7)\/273). Calculate the highest common divisor of 91 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003984 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22275 or 24386?\nAnswer: 22275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -3, -148, 695, 1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 17. Let p be (n - -2)\/((-5)\/55). Find the second derivative of 0*f**3 + p*f - 4*f**3 + f**3 wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -0.2, 5, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 4*p - 5*c + 7*c, -5*p = 4*c - 53 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*x + 129, -12 = k - 3*x + 54. Let r = 57 + k. Let l(h) = -4*h + 673. Is l(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(9\/2)*c*c*c*(c\/((c*c**(-9))\/c)*c)\/c*c\/c**16*c*c*c**(-6))**(-23\/4) assuming c is positive.\nAnswer: c**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 13*w**2 + 13*w + 26. Calculate the remainder when 24 is divided by n(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:56 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 48 = 12*c. Let g = c + -21. Let d = 7 - 6. What is the closest to d in 5, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/3 + 110*r**3\/3 - 5588*r**2 + 358568*r\/3 + 375440\/3 = 0. What is r?\nAnswer: -130, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2775 from 1761771290.\nAnswer: 1761768515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26, -27, -28, -29, -30, -31?\n\"Answer: -m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/24)\/(2\/3). Let y be (-2 - 0)*(-10)\/(-4). What is the nearest to 1 in w, y, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*c*j**2 + 12*c*x**3 + 2*c*x + 44*c + 5*j**2*x**3 wrt x.\nAnswer: 36*c*x**2 + 2*c + 15*j**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*g**4 - 12 + 12)*(1 + 2 + 1) as b*g**4 + l + n*g + q*g**2 + u*g**3 and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*m - 12 = -5*b, b = -5*m + 3. Suppose 0*d - 2*n = 4*d - 62, 3*d - 69 = b*n. Calculate the lowest common multiple of d and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - f**2 + 3. Let b be p(0). Suppose 2*m - b*x - 12 = 0, -m + 4*x - 2 = -13. What is the remainder when ((-7)\/(-3))\/(1\/3) is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348172041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -763 less than or equal to 9337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 33636\nAnswer: -33632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -34*t + 2. Let m be j(-1). Let l = m - 25. What is the biggest value in l, -0.1, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 12*c - 32. Let t be p(-15). Suppose -7*j = -t*j + 24. Solve 3*g = -3*y - 3, 5*g + 2*y - j + 3 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2*s - 275 = 0. Suppose s = 5*x - 4*l, 0*x - l = -4*x + 55. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 16 = -4*g, -g = -w + 4 - 3. Suppose 0*u + 3*u - 15 = 0. Let i be (g - 34\/(-10))*u. Solve -20 = -i*q - 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3891.751 nanograms to milligrams.\nAnswer: 0.003891751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*q**2)*(0*q + 0*q - 2*q) - 3*q**2 + 3*q**2 - q**3 - 6*q**2 - 3*q**3 + 19*q**2 + 5*q**3.\nAnswer: 5*q**3 + 13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + -5 + 3*sqrt(1008))**2.\nAnswer: -864*sqrt(7) + 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + m + 1 + m. Let a(p) = p**2 - 12*p + 16. Let t be 13 - ((2 - -3) + -3). Let o be a(t). Determine x(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-16)\/(((-8)\/70)\/(17\/((-170)\/4))).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 15. Solve 4*r + 0*r = x - 1, r + 4*x - 21 = j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20.33? (a) 0 (b) -2\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -6. Let c = 18 - r. Sort 1\/3, -2, c in descending order.\nAnswer: c, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7924 and 3?\nAnswer: 23772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 619479 to the power of 1\/2, to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:31 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 20.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69446.\nAnswer: 2, 13, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339745909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/(4\/(-36)). Let v be 2\/m*820\/16. Let c = 34 - v. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + -20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2100203?\nAnswer: 7, 19, 15791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o = -2*x + 31*o + 12723, -3*x = -5*o - 19084. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2422.2 - -1984. Let l = -9618 - -9219. Let o = l - u. Round o to zero decimal places.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4636\/(-61) - -77) + 85?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5663248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*y - y - 3*y + 2*y**2)*(3 - 1 - 5 + 1 + 0 - 2 + (-2 + 4 - 1)*(1 + 5 - 4)) to q*y**2 + d + g*y and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 121*l**3 + 6*l + 11. Let u(n) = 3*n**2. Determine u(s(h)).\nAnswer: 1581228*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 523, 1536, 4283, 9628, 18435, 31568, 49891, 74268?\n\"Answer: 144*c**3 + 3*c**2 - 4*c + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 6 - (4 + 1)) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 480. Let b(m) = -2*m**2 + 90. Give b(f(s)).\nAnswer: -2*s**2 + 1920*s - 460710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 210, 4, 23\/2, -0.099?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (-4293)\/53 - 81.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a. Suppose -4*m + 2 + 14 = 0. Let w(x) = 2*x - x - m*x. Suppose 2916 = -37*s + 3249. Give s*w(f) + 4*b(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6721 (base 13) in base 4?\nAnswer: 3200320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 10417.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 583 - 920. Let p = 336.9999896 + i. Round p to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7798475\/43 + 181323. Is h <= -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37060740 and 4860.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 + 53*a**2 + 2975*a - 278. Determine u(54).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -242*p - 508 + 5106 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 7*t + 82. Calculate z(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448405055 divided by 89681011?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 26*w**2 - w**2.\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilometer in meters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 22. Let g be n\/(-54)*(-2)\/4. Let z = -5 - 0. What is the second smallest value in 1, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -17*q**2 - 102*q - 397. What is t(-4)?\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -423*q**2 + 177*q + 942. Differentiate p(d) with respect to d.\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -18123 by -1035.\nAnswer: 6041\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*r - 1199 - 3285 = -53*r. Sort 0, -10, -2, r.\nAnswer: r, -10, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317092 - 2526*p - 317092 + 2521*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 144 - 111 = 0. Let u = -75 - d. Let x(z) = 3*z + u*z - 12*z. Let j(g) = -39*g. Give x(j(w)).\nAnswer: -39*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -32*t + 1816. What is the remainder when h(34) is divided by 53?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*h - 237*h**2 - 213*h.\nAnswer: -237*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 + 213 = -15*s. Put -3, -10, s, -6 in descending order.\nAnswer: s, -3, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001662 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14070 - -2?\nAnswer: -14066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/12 (b) -4 (c) 5 (d) 42 (e) -5 (f) -0.014\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10216 divided by 2554?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*m = -27*m - 259 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 431441 + -601428807\/1394. Calculate the common denominator of 37\/18 and x.\nAnswer: 12546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12571 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13a + -4024?\nAnswer: -4161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwbbbbw. What is prob of picking 3 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 + 9 + 13 + -1. Calculate the highest common divisor of 91 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4916 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 312.\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.3 < -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:48 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -680 (b) -0.3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/6)\/(18*19\/152)*54\/492\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1674 and 3024050.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 6*b**2 + 3\/2*b**3 + 15\/2*b + 3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(132)\/(sqrt(60)\/(sqrt(20)\/sqrt(4))) - (4 + (sqrt(891))**2 + sqrt(396) + 0).\nAnswer: -895 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-4 - 10 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2 - 5*d**2 + 4 - 1 + 12*d**2. Let q be 209 + (4\/3)\/(2\/(-6)). Let o = q - 204. Calculate s(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.31 in -3\/7, 3, 10, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 118819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 7, -18, -43, -68, -93?\n\"Answer: -25*i + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 0. Let u = -4472\/15 + 298. What is the nearest to z in u, -1\/4, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8553 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9262, -4209, -40770, -111965, -229338, -404433, -648794, -973965?\n\"Answer: -1924*v**3 - v**2 + 11187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a67 - 17?\nAnswer: -3a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630180.\nAnswer: 2, 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**2 - 3*r - 3. Let j(u) = 37*u**2 - 17*u - 17. Suppose 2*l - 52*t = -56*t + 8, 2*t = 4*l - 26. What is l*j(k) - 34*v(k)?\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132 - 128. Suppose 0 = -2*h + 2, 140 = m + m - t*h. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(5\/6))\/u**(2\/5))\/(u**(-2\/3))**(2\/3) assuming u is positive.\nAnswer: u**(169\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94.2 + 106. Let p = k + -9.32. What is p rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-5) + -3 - (-20 - -2). Let l = 26 - k. Suppose 0 = 3*j - l*j + 20. Solve -j*y = -23 - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s - 1488 = 88*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + l + 21 = 16, -l = -3*o + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -0*o - 84. Suppose -3*b = -p - 28, 0 = 3*b + 3*p - 24 - o. Put b, 3, -4 in ascending order.\nAnswer: -4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17360 divided by 280?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 114*b**3 - b. What are the prime factors of r(1)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 + 4 - 4 + 5*u**3 - 6*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 63.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5. Let m = -0.1 - k. Which is the nearest to -1? (a) -0.2 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4379*y - 17. Let t(i) = -2*i**2. Calculate r(t(l)).\nAnswer: -8758*l**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28.4 - -23.05. Round i to 1 decimal place.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (45\/6)\/(-3)*-2. Let f = n - 2. Let j(v) = v**3 - v**2 - 2*v + 2. What is the units digit of j(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 1261?\nAnswer: 1260.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2431572040.8 + -3.6\nAnswer: -2431572044.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 0*l**2 + 38 + 88*l + 0*l**3 - 1\/2*l**4 - 11*l**5. Differentiate g(q) wrt q.\nAnswer: -220*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynhyuhypuuuuyhu. Give prob of sequence uunp.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (-4 - (-2 + 5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -128, -201, -278, -359, -444?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.30905mg to tonnes.\nAnswer: 0.00000004430905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o + 30*o = -216. What is the lowest common multiple of 72 and o?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5847, -5846, -5845, -5844, -5843, -5842?\nAnswer: -5841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/281 (b) 2\/49 (c) 0.4 (d) 0.044 (e) 2 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**5 + 12*n**4 - 28*n**3 - 28*n**2 + 72*n - 32 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -117, 5, 1\/7 in decreasing order.\nAnswer: 5, 1\/7, -0.4, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*c*x**5 - 625*c*x**2 + 3*c*x + 43*x**6 wrt x?\nAnswer: -780*c*x**2 + 5160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 16*b + 18. Determine i(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2608\/(-3830) + (-6)\/(-10). Let j = -34999\/7660 + q. Find the common denominator of j and -19\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/180 - (-2)\/(-9)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*g - 33, 2*k + 12 = g - 5*g. Solve -k = -5*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59584 + 83874. What is r rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49684976.\nAnswer: 2, 11, 197, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/8*4*-1. Let o = p + 10. Solve o*f = -6 + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 8*p + 3. Let x(n) = -n**2 + 7*n + 4. Let a be x(7). Suppose h - 7 = -m, a*m = h - 3*h + 26. Give c(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2286?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.0128 - -3.82699927?\nAnswer: 13.83979927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 25*x - 76. Suppose -4*u - 44 = -3*s, 2*s + 5*u = 26 + 11. Calculate the smallest common multiple of 6\/s*-6*-4 and q(-21).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.07. Let x = -0.03 + q. Do 1 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = 4*k. Solve -b + k + 0 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/14 and 45\/(-4) + (-2)\/(-6).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 7*k**2 + 3*k - 8. What is o(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + (-5)\/10*6. Suppose -l = -4*j + 2*u + 16, -5*j - 3*u = -39. Calculate the least common multiple of j and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69905.016 rounded to the nearest 1000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.3, 2.6 in decreasing order.\nAnswer: 2.6, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139 - 137. Put -6, m, 6 in descending order.\nAnswer: 6, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.051\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26548.176 minutes in hours?\nAnswer: 442.4696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 times -0.5?\nAnswer: 36.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -455*x**3 - 68*x + 439*x**3 + 4*x**2 - 4*x**2 to the form l + q*x + c*x**3 + t*x**2 and give q.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Suppose -p*m + j = -m - 53, -4*j + 4 = 0. What is the highest common divisor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z - 11. Let o be q(11). Suppose -j - 3*u + 11 = -u, 4*j + 4*u = o. Suppose -8*h + j*h - 111 = 0. List the prime factors of h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -147369, -294749, -442129?\n\"Answer: -147380*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 take away 24259.4361126?\nAnswer: -24276.4361126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23447\/5 or 239.2?\nAnswer: 23447\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-105))\/(12\/27).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c + 853817?\nAnswer: 8537a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3341840 is divided by 402.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-4))\/(2\/(-49244)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, r: 8}. What is prob of picking 1 r and 1 a?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4006484411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 10, g: 2}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(57\/(-6) - (-1 + 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**6\/120 - 17*j**5\/60 - 19*j**4\/24 + 3*j**3 + j**2. Let y be 236\/(-16) + -1 - 4\/16. Does 12 divide u(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 + 4*x**3 - 5*x**2 - 19*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6 (b) -1 (c) 0.4 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + l**2 - 25*l + 18. Give n(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 0 - 3*f + f**2 + 1\/12*f**4 - 1\/2*f**3. Determine y so that s(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - v - 18*v)*(165 - 210 + 253).\nAnswer: -3120*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t**3\/t))\/t*t\/((((t*t**(-3\/2))\/t)\/t)\/t*t)*t)\/(t**1\/(t*((t*t\/(t**(-2)*t))\/t)\/t)))**(-22))**30 assuming t is positive.\nAnswer: t**(-2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(360)\/(sqrt(12)*-2))\/sqrt(10).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-3\/32)\/v)*v*v**(-5))**(-24) assuming v is positive.\nAnswer: v**(183\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -761*c - 25259 = 110*c for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n + 4. Let b(m) = 0*m + 6*m - 5 - 4*m**2 + n*m**2. Let c be -4 - (-3 + 2)*10. Let j(v) = -2*v**2 + 5*v - 4. What is c*j(l) - 5*b(l)?\nAnswer: -2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -1\/6*w**3 + 1\/2*w**2 - 3*w + 0. Calculate o(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2812460 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: Let y = 7764 - 7759. Let d be 20 - ((0 - 0) + -1). Suppose -f + 2 = -d. Solve 2*l = 3*i - 6*i + f, y*i = 3*l + 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 13.12. Let k = -0.62 - u. Let w = -1\/12 + -43\/60. Which is the third smallest value? (a) w (b) k (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -168197 + 243256. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -13*v**3 - 1092*v**2 - 16*v - 1385. Give y(-84).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501163.7 days to nanoseconds.\nAnswer: 43300543680000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47207*d*q**3 - d*q**2 - 27*q**3 - 111*q**2 with respect to d.\nAnswer: 47207*q**3 - q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let x = 2 - t. Find the first derivative of -2*v**3 - x + 1 - 2 wrt v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 752.2735 litres?\nAnswer: 752273.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1994, -2102, -2282, -2534, -2858?\n\"Answer: -36*q**2 - 1958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 525839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, x: 4, q: 3, b: 1, o: 2, k: 3}. What is prob of picking 2 v?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24776 (b) 8 (c) 2\/11 (d) 0.05 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 845 = j + 28*b - 31*b, -5*j - 2*b = -4140. Calculate the greatest common divisor of 230 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 11:21 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26487, -52959, -79427, -105891, -132351, -158807?\n\"Answer: 2*p**2 - 26478*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*f = 48*f - 60. What is the remainder when 77 is divided by f\/160 - 4\/(32\/(-37))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4688517600 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2626, 2593, 2562, 2533, 2506?\n\"Answer: r**2 - 36*r + 2661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/sqrt(2))\/sqrt(2))\/(sqrt(108)\/(sqrt(9)*-1))*-1 - (4 + (4 + 2*(sqrt(242) - (-1 + sqrt(242))))**2).\nAnswer: -40 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2. Let k(a) = 604*a**2 - 7. Calculate k(n(g)).\nAnswer: 2416*g**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 12*g**2 - 15*g + 26. Let f be s(18). Round f to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-6 - -12) + -11) - -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 5. Let f be m(0). Suppose -f*t = -1650 + 185. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/13 or 6242\/163?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 6*c - 14. Let o be c\/(-3)*-15*(-4)\/10. Suppose -o*f + f + 239 = 2*r, -f = r - 79. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2 - 3)*(0*j**3 + j**4 + 0*j**3) - j**3 - 64*j**4 + 26*j**4 + 20*j**2 + 37*j**4 + 3 as w*j**2 + x*j + l*j**3 + r*j**4 + h and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 446713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**4 + 29*h**3 - 126*h**2 + 220*h - 136 = 0.\nAnswer: 2, 17\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = f + 125 - 197, -2*p - 54 = -f. Solve 2*w - 10 = -44*q + f*q, -w + 1 = -3*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and 0.002.\nAnswer: -11.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 17, 55, -1 in ascending order.\nAnswer: -21, -1, 17, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61635 + 103043. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/33 (b) -40 (c) -1761 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 780*l - 6.\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1454 + -404?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71313334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g\/g**(2\/13))*g)\/g**13)**(-16))**(-23))**(8\/7) assuming g is positive.\nAnswer: g**(-491648\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -926303\/125 greater than -7410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -15*i**3 - 4*i**2 + 61*i + 146. Give y(-5).\nAnswer: 1616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58783068?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -10.07. Let a = 31614.930085 + -31615. Let w = a + g. What is w rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104412 is divided by 20760?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -16*g - 10. Let o(w) = w**2 + 8*w + 2. Let m be o(-9). Let r = 8 - 10. Let a(s) = -3*s - 2. What is m*a(n) + r*x(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17055aa (base 12) in base 4?\nAnswer: 102010210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 2, i: 3, s: 1}. Give prob of picking 1 z and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 352 (base 6) to base 10\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**4\/12 + 8*h**3\/3 + h**2\/2 - h. Let j be p(11). Calculate the highest common divisor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, 7, -17335, 4 in descending order.\nAnswer: 111, 7, 4, -17335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43011? (a) -5 (b) 1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((0 - -3) + 0 + -14 + -19)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/10 - (-20)\/25. Let b = d + -10. Let y = 15 + b. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 21*x**4 - 2*x**3 - 2*x**2 + x - 86. Let p(m) = 85*m**4 - 9*m**3 - 9*m**2 + 3*m - 344. Let v(d) = -9*a(d) + 2*p(d). Differentiate v(s) wrt s.\nAnswer: -76*s**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -135*t + 138*t - 2*i, 9 = 5*t + 3*i. Let a be (-10)\/(-3)*(-9)\/(-6). Suppose -b + 34 = a*j, t = -2*j - 0 + 4. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -2\/11, 319, -0.5?\nAnswer: 319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2615, 5129, 7567, 9929, 12215, 14425?\n\"Answer: -38*t**2 + 2628*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 3*l + 2*s - 0*s, -5*l = s + 159. Let f be (-31 - l)*4\/(-7). Is -2 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + w. Let m(u) = 5*u**2 + 3*u + 1. Calculate m(k) - 4*x(k).\nAnswer: 9*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -2. Solve 4*n - 2*t - 12 + 2 = 0, -n = 3*t - r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -13*n + 0 + n**2 + 1\/6*n**3. Determine p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 0*f + 154. Which is bigger: f or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + -2 + 3.\nAnswer: 1 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Let g be c(0). Suppose g = -2*i + 4 + 2. Find q such that -4\/7*q + 0 - 18\/7*q**i - 10\/7*q**4 - 2\/7*q**5 - 2*q**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*w - 75 = -7*w, 0 = 4*b + 3*w - 185. What is the remainder when b is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + (-2*sqrt(91) + sqrt(91))*-3 + sqrt(91))*-1)\/((sqrt(56)\/(sqrt(12)\/sqrt(6)))\/sqrt(4)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -243893\/5 > -48779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 17*g**2 + 41*g + 38. Determine z(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*c**2 + c**3 + 66*c**2 + 70*c**2.\nAnswer: c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 v when three letters picked without replacement from {e: 1, x: 2, v: 1, h: 1, u: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -7*l**3\/6 - 33*l**2 + 2903*l. Give s(-18).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27439506 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 12*d + 584. Let i be h(-19). Let u(r) = -8*r**3 - 2*r + 4. Let g(n) = n**3 - 1. What is i*g(y) - u(y)?\nAnswer: 3*y**3 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*v + 1109 = -199*v + 5487 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -11 (b) 0.2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 41 + 8*f**2 + 8*f**2 - 19*f**2 + f**2 + 59. Let x(u) = 17*u. Determine t(x(z)).\nAnswer: -578*z**2 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7112\/(-200))\/(-7) - (-55)\/(-11)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - n + 1 = 0, -5*s + 0*n = 9*n - 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 * -19\nAnswer: -4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -80\/3*z**4 - 205\/6*z**3 - 4 - 23\/2*z**5 - 5\/42*z**7 - 7\/3*z**6 - 43*z - 25*z**2. Let j(a) = 0. What is a?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 4:45 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2666450 = 3*a + 19*a - 39*a. What is a rounded to the nearest 1000?\nAnswer: -157000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttittiititti. Give prob of sequence tit.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.247114 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g**3 + 2*g**2 - 2*g + 1. Let w be v(1). Let x be (-10)\/85 - 140\/(-34). Let o(i) = -12*i - 9 - 186*i**2 + 185*i**2 + x*i. What is o(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*t + 3*i, -4 + 2 = -t + 5*i. Calculate the highest common divisor of t and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 167394 + 12054 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/7 (b) -0.4 (c) 478\/25 (d) -5 (e) -0.34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*f = -13324, 3*q + 271 = -f + 13565. Let h = -3114 + q. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 1. Let k = 40.2 + -40. Which is the closest to k? (a) p (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 5*f**2 - 7*f - 5. Let r be b(-6). Let p = 0.009 - 48.009. Let w = p + 48.1. What is the closest to r in w, -2\/5, -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {s: 1, k: 1, p: 1, r: 1, i: 2, t: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -222 + 32b54?\nAnswer: 32932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 2*l - 4*l - 1 + 0*l + 0*l + 2*l + (-2 + l + 2)*(2 - 6 + 3).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 0*l**2 - l**2 + (-2 + 2 + l)*(-3*l + 2*l + 2*l) - l**2 + 0*l**2 - l**2 + 2*l**2 - 21*l**2 - 5*l**2.\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 3. What is the second derivative of 6*g**4 - 5*g - 3*g - d*g**4 wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 5*y = -324. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4486049.28529 and 7.\nAnswer: 4486056.28529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 19*l**2 - l - 2. Let t be y(-2). Calculate the remainder when (-2)\/(302\/t - 4) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 11:44 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 34128*s**3 + 126301856*s**2 - 164566854144*s + 46504293828608.\nAnswer: 2*(s - 532)**2*(s + 9064)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*(sqrt(252) + sqrt(7)))**2 + 5)*1.\nAnswer: 32933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 2*b**2 - b - 10385. Let u be p(0). Let x be (-2 + 1)\/(-2 - u\/5190). Let j = x - -1825. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4 + 2*n**3 + 12*n**2 + 14*n + 5 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52539433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5375*r + 5370*r + 4*k - 108 = 0, -12*r - 3*k = 297 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129423924 and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yay when three letters picked without replacement from {y: 4, e: 6, z: 3, a: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 14.\nAnswer: 47\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329133, 658266, 987399, 1316532, 1645665, 1974798?\nAnswer: 2303931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -6 + -2)*(-2)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 95\/120 - (-3)\/(-24). Let -2*x**2 + w + 3*x**3 - 5\/3*x = 0. What is x?\nAnswer: -2\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1101023, -0.1, 1\/3, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 0) + 21 + (-46 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100.0113 - -100. Round l to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(6\/13))**(1\/74) assuming o is positive.\nAnswer: o**(7\/962)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.073 + 0.073. Which is the second biggest value? (a) z (b) 4 (c) 2 (d) 11\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/15 + (5 - (-36416)\/30). Let g = u - 1217. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 7*l + 2*l + 2*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -3*t - 13*z, 232*z = 4*t + 229*z - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76245401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 greater than -41849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k. Let w = -5 - -15. Let n = w + -8. Let q(d) = -5*d**2 + 2*d**2 + 2*d**2 - 2*d**n. Determine i(q(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 = -19. Let o = z + 14. Calculate the highest common divisor of o and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 2:35 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1840 - 1662. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*c = -927, 5*x + 3*c = 6063 - 1344. Let t = 969 - x. Calculate the remainder when 55 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from {d: 1, o: 1, f: 5, b: 4, h: 1, w: 1}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-7))\/(4\/168). Suppose -d = w, s = 4*w - d - 4*d. Determine x, given that 71*x**w - 3*x**3 + 2*x**2 - 69*x**4 - x**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33420*-1.\nAnswer: -33420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*t + 40 = -5*g - 50*t, -4*g = 2*t + 30 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, v: 1, t: 2, g: 1}. Give prob of sequence etg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-6))\/(-7)*(-26 + 26). Calculate the remainder when 62*72\/16 - (2 + x) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1))\/(62\/(-124))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a**3\/17 - 16*a**2\/17 - 278*a\/17 + 40\/17 = 0 for a.\nAnswer: -4, 1\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -124*o**3 - 11*o**2\/2 + 8*o - 308. What is the second derivative of z(f) wrt f?\nAnswer: -744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.9, -0.4, 2\/5 in increasing order.\nAnswer: -0.4, 2\/5, 7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*h**3\/2 + 60843*h**2\/2 - 1623033*h + 129648 = 0. Calculate h.\nAnswer: 2\/25, 73, 592\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 8.92. Let t = f - 0.58. Put -1\/4, -4, t in descending order.\nAnswer: -1\/4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70900820 times 4?\nAnswer: -283603280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/7 and 35\/682.\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 23236047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 15*u**2 + 3*u - 1. Let a be p(11). Suppose -4*i = 3*r - 269 - 118, a = 4*r - 2*i. What are the prime factors of r?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.1. Let p = -0.4 - x. Let v be 7\/((-56)\/(-20)) - (-115)\/(-50). Which is the second biggest value? (a) 1 (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 334756816?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 <= 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2*1\/8)\/(1360\/(-6528)))\/((-1)\/45)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2904572.\nAnswer: 2, 11, 251, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -t - 5*j, -t + 4 = 3*j + 5. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**5\/5 + 44*r**4\/5 + 87*r**3 = 0.\nAnswer: -29, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2101310 is divided by 40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 41156.559?\nAnswer: -4115.6559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -167614\/7 or -23944?\nAnswer: -167614\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46921*w**2 - 1426*w + 1426*w.\nAnswer: -46921*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1869319 is divided by 914?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 0, 5*u = 3*g + 3*u + 18. Let b = g + 11. Solve 0*x = -b*x + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22897281, -91589126, -206075535, -366356508, -572432045, -824302146?\nAnswer: -1121966811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2240 and 560.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1668 + -1668. Let a(x) be the second derivative of b*x**3 + 0 - 3\/4*x**4 + 3*x**2 + 20*x. What is the first derivative of a(u) wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -369, -380, -405, -450, -521, -624?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*j**2 - 40*j**2 + 16*j**2)*(7*j - 74 + 74).\nAnswer: -35*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + u + 3 + 3*u**3 + 0 - 19*u**3.\nAnswer: -16*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2. Let o(j) = -4*j - 76 - 94 + 3*j + 2*j - 169. Determine q(o(w)).\nAnswer: 2*w**2 - 1356*w + 229842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - f + 2. Let z(r) = -4*r**3 - 5*r + 8. Calculate -18*v(c) + 4*z(c).\nAnswer: 2*c**3 - 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 10:31 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 0) + 3 + (-5 - -5 - 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10513980143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 19*z**2 - 15*z - 32. Give m(18).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*d + 4380 = 157*d. Are d and 96 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/6 - 3\/(9\/(-132)). Let h = -42 + l. Let n(z) = z**2 + 3*z - 2. Let a be n(2). Solve -k - h*k - 7 = 2*q, a = -4*k - 2*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 11:38 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Let o be -2 + 2 - (-4 + x). Suppose 8*q = o*q + 25. Calculate the highest common factor of 55 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 0*s - 84. Suppose 2*q - 37 - 26 = -3*a, -3*q - s = -4*a. Solve -4*r + r + a = 3*k, r + 23 = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 202*o + 24607. Determine n(-122).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 7) + 18\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 8 + 18 - 7 - 1591*y to the form g*y + z and give g.\nAnswer: -1591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2398*a**2 - 251795*a + 512. What is q(105)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58930.\nAnswer: 2, 5, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -79*a + 292 + 268 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 350, 5, -3799, -2, -3, 4, -1 in descending order.\nAnswer: 350, 5, 4, -1, -2, -3, -3799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 + 100\/(-64) + 135\/(-30) and -7\/5464.\nAnswer: 10928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 37*z - 344. Determine j(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3775277*f**3 + 6399172*f**2?\nAnswer: -22651662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149143739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((-8 + 1 - 3) + 6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**4\/4 - b**3 + 9*b**2\/2 + 28*b - 6. Let n be i(-3). What is the biggest value in n, -2\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3616128 divided by -4.\nAnswer: -904032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 139 = 5*b. Let o = b + -17. What is the common denominator of ((-22)\/o)\/(2\/3) and -89\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -683 + n - 161368*n**3 + 161813*n**3 - 947 wrt n?\nAnswer: 1335*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 690?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = -32*z + 3702. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/(-264)*(-1)\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143 - -101. Let z = f + 78. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33181 or 0.136?\nAnswer: -33181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2445*x + 4787. Calculate y(-2).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237963360 - 10.434.\nAnswer: -237963370.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*s + 247898 = 271*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -391 - -975. Suppose 3*i + p = 3*o + 215, -3*o = 5*i - 401. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjo when three letters picked without replacement from {o: 7, j: 2, x: 3}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 2*h + 12. Let c be g(5). Is (-1)\/c - 48008\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 927.1927m to nanometers.\nAnswer: 927192700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2)*(-4*n + 8*n + 3*n + (2*n - 5*n + 4*n)*(3 - 4 + 3) + n + 0*n + n + 3*n - n - n - n + n + 2*n).\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -43.96. Let v = k + 0.04. Let p = -0.4 + -0.1. Which is the smallest value? (a) -2\/13 (b) v (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-39)\/((-6)\/2) + -1. Let v(l) = 37*l**2 - 6*l + 4. Let b(h) = -6*h**2 - h. Let q(k) = 6*b(k) + v(k). Give q(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 410869008 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*5*sqrt(114) - sqrt(114))\/sqrt(6))**2.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*p**2 + p**4 - 16 + 14 + 2*p - 91*p**2 + 109*p**2 - 272*p**3 to t + m*p**4 + j*p**3 + q*p + w*p**2 and give j.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -17*s - 8. Let o be y(-7). Let z = o - 998\/9. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 + ((-94506)\/36)\/(-19). Let o = p - 138. Let b(z) = -z + 7. Let h be b(6). Which is greater: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -455910 > -455993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*l - 5*a, -7*l + 35 = -2*l + 2*a. Let m = -128 + 148. Suppose -5*k - m = -9*k. What is the greatest common factor of k and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -38*q**3 - 2*q + 1. Give f(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*y, -3*p + 44 = y + 4*y. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30590465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -14?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 2, 4, 8, -61 in increasing order.\nAnswer: -61, -39, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 18, 0, -5 in decreasing order.\nAnswer: 18, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - x - 5. Suppose 2*k = 6*b - 2*b + 16, b + 4 = -4*k. Give d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 98.73851 millilitres?\nAnswer: 0.09873851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*b = -82*b - 1014 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 16c2?\nAnswer: 16c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0495 + -0.0495. Which is the smallest value? (a) -2 (b) -3\/16 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -32*o + 440. Calculate the greatest common factor of 51 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -397, -3276, -11077, -26260, -51285?\n\"Answer: -410*f**3 - f**2 - 6*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 267168.\nAnswer: 1335840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5940 and 6480.\nAnswer: 71280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -253324 or -253325?\nAnswer: -253324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119154 by -119154.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-1)\/(-3))\/(1\/15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**5\/60 + 7*c**4\/24 - 5*c**3\/6 + c**2. Let b be 2\/(1*(-3)\/(-6)). Is 6 a factor of m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7392 - 292 + 24879 + 17332 = 677*m for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 24115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -13, -16, -15, -10?\n\"Answer: 2*i**2 - 13*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -13*z + 3. Let a(d) = d. Calculate c(a(t)).\nAnswer: -13*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51098627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 70 = 9*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 480\/78 + (-4)\/26. Let g(d) = -4*d + 2*d + d**2 + 0 + 3 - n*d. Give g(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 4*a - 3*v, a + 2442 = 4*v + 2450 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/(-25))\/((7392\/700)\/44).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3597 is divided by 221.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 5*o - 2. Let x be r(-2). Suppose -4*d = -x*c + c - 412, 404 = 4*d - 5*c. Let u = -449 + 485. What is the remainder when d is divided by u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/108 and -103\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/7 (b) -117 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/15 - 800084*o**2\/3 + 2000416021624*o\/15 + 4000848044944\/15.\nAnswer: 2*(o - 1000106)**2*(o + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) - (-84)\/18. Suppose n*h - 15 = 3*h + d, 2*d + 6 = 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l**3 - 143*l**2 + 8*l - 3. Let u(w) = 8*w**3 + 146*w**2 - 10*w + 4. Calculate 4*t(v) + 3*u(v).\nAnswer: -4*v**3 - 134*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 11 = -2*j + 3*i, 2*j + 7 = 3*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26686659 = -200*z + 219*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 - 40*k - 12. Let f be z(-7). Which is smaller: 24 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 5, -4 in increasing order.\nAnswer: -83, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41478 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(3 - 1 + 0)*(11*c + 4 + c - 9*c).\nAnswer: 12*c + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vssvsvsvssvv. Give prob of picking 1 v and 1 s.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 1. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*x - 706*x = -28 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*g - 12*g - 828. Suppose g = -11*p + 34*p. Let t(j) = j + 9. Give t(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 71*l**3 - l**2 - l + 2. Determine r(1).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*b - 2. Suppose -2*z + 66 = -18. Calculate the lowest common multiple of z and (-12)\/b*(-1)\/(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25080795 is divided by 8360264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 198 = 14*j. Solve 5*q + 14 = -j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3284 = -3*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 194 - 189. Solve -1 = 5*z + 9, u*z + 15 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - g**2 - g + 1. Let u(o) = o**2 + o - 1. Let y(d) = -2*d**3 + 13*d**2 + 9*d - 11. Let t(z) = 6*u(z) - y(z). What is 5*l(q) - t(q)?\nAnswer: 3*q**3 + 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-three fifths of a century?\nAnswer: 17520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89\/3 - -29. Which is the third smallest value? (a) -5 (b) -4\/7 (c) 0.3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 + v**2 - 4*v**2)*(7*v + v + 0*v) + (-2 - v**2 + 2)*(-4*v + 0*v + 2*v).\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63376972*y**3 - 4*y**2 + 5543723*y?\nAnswer: 380261832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 5564 = -1504. List the prime factors of z.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c + 1. Is 33 a factor of v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:07 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -7\/3*t**2 - 86 - 905\/3*t = 0.\nAnswer: -129, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -119 - 13. Let p be (2\/(-5))\/(4\/(-20)). Suppose -2*u = 4*x - 46 + 2, -x = p*u - b. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/296 or 0?\nAnswer: -3\/296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (212\/6)\/(-1)*-3.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3663687 kilograms to nanograms.\nAnswer: 366368700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -213449\/6 - -35568. What is the common denominator of p and 73\/4158?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 5:09 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 22. Let w(x) = -x**2 - 10*x + 13. Let t be w(d). Suppose 5*g - t*g = 3. Which is the second smallest value? (a) g (b) 0.4 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 42693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -8\/36339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j - 11*j - 8*j - 5*q = -222, -j + 39*q - 1642 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2003080248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.049 (b) -1\/4 (c) 0.014 (d) 5 (e) -17 (f) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, 3\/2, -2\/17, -4, -114 in descending order.\nAnswer: 3\/2, -2\/17, -4, -114, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6341*h**3 - 1714*h**2 + 1714*h**2 + 6381*h**3.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*h - 4, 174*z + 3*h = 170*z + 28. Which is the third biggest value? (a) 2\/5 (b) -33 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, z: 1}. What is prob of picking 3 m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - 3*w + 3. Let s be a(1). Let x be 0 + (52\/(-20))\/(s\/10). Do 13 and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6734093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 8254890025.6?\nAnswer: -8254890025.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**4 + 83073*r**3 - 4312269*r**2 + 16169247*r - 11940048 = 0. Calculate r.\nAnswer: 1, 3, 48, 27639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiikwziizcirircir. Give prob of sequence rkiz.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 2\/9, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 5 = -c. Solve c*r + 20 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*o**2 - 366 + 143 + 115 + 108.\nAnswer: -221*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 83, 80, 77, 74?\n\"Answer: -3*r + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08412 to 3 dps.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -636.432 + 5.\nAnswer: -631.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1)\/(12\/6*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/25)\/(3\/(-45)). Let v be (-34)\/55 - r\/(-33). Is -2 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b + 27*b - 7397 + 9369 = 0 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18144839 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 496946 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((30\/4)\/(-3)))\/((-39054)\/10350*30).\nAnswer: 2\/283","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43197120 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2\/s**6*((s\/s**1)\/s)**25)\/((s*s\/(s*s**(-1)\/s))**6\/(s**6*s*s*(s*s\/s**(1\/7)*s)\/s)) assuming s is positive.\nAnswer: s**(-260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/4 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - u + 100072 = 0, -5*u - 50858 + 184269 = 4*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 1.599004. Round q to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -163 + 59 + -67 + 131.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4599 + 878405\/191. Do 0 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3390 divide 168821216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.267 and -2?\nAnswer: 24.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*r - 1494*r + 503289 - 18308 = 4758*r for r.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 4*q + 7. Let d be k(5). Suppose -3*b = d*b. Let i = 2 - b. Solve -i*z = -2 - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786 divided by -36762?\nAnswer: -893\/18381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smurmr. What is prob of sequence umms?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - 6*b**2 - 12*b + 11. Is f(-5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8861 and -219330276.3.\nAnswer: -219321415.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-6)\/(-15))\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-12)\/(-9) - (-17)\/(-51). Which is the smallest value? (a) 3\/2 (b) j (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 17*l - 16. Let x(c) = c**3 - c**2 - 5*c + 5. Let t be x(3). What is the tens digit of h(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 990*b + b**3 - 990*b - 113*b**2 + 98*b**4 - 2 - 100*b**4 as t + v*b**2 + g*b**4 + i*b**3 + r*b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 126, 289, 518?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563 a factor of 5372031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**5 + 16*d**2 - 25*d**2 + 16*d**2)*(-4 + 4 - 5 + 2 + 0 - 3 - 1 - 1 + 1 + (1 - 3 + 1)*(0 + 0 + 1) - 4 - 2 + 5).\nAnswer: -18*d**5 - 63*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 141 - 63 - 64)*(-3*p + 3 + 0*p + 2*p).\nAnswer: -2*p**3 + 6*p**2 - 14*p + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.91 + 6.04. Let f = z + -0.13. Let n be (4\/22)\/1 - 0. Which is the biggest value? (a) -4 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g. Let o be a(-6). Let l be ((-8)\/(-10))\/((-2)\/o). Suppose -4 = -4*k - 12, -5*h - l = 2*k. What is the third smallest value in 3, h, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 490 = 4*k. What are the prime factors of k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 8 = -2*z - 5*l, -3*z + 3*l = 0. Solve 2*p = -z*p + 2*d + 10, -3*p = 3*d + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 31. Let u be j(0). Let x = 14 - 8. Let m = x - u. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 430710*v**2 - 4508*v + 2254. Let x(s) = 2291*s**2 - 24*s + 12. Let w(f) = -1127*x(f) + 6*z(f). Let y(l) = 4*l**2. Calculate y(w(g)).\nAnswer: 21215236*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 293, -0.06, 16, -12?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*k, 18*r + 4*k - 11569 = 13*r. Is r a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u - 10*u - 2*u**2 + 26*u - 21*u**3 - 11*u to the form w*u**3 + l + c*u**2 + a*u and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 367221 and 395343?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 6*a + 7. Determine w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14730694 is divided by 3053.\nAnswer: 3022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67876085 and -0.1.\nAnswer: 6787608.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 5:03 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 10:01 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, 1\/6, 15, 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13385.2498053 - 13390.8498. Let s = -17.6 - -12. Let l = s - m. What is l rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - (1 + sqrt(13)))*4 - (2 + sqrt(468))) + (-3 + sqrt(325))*3)**2.\nAnswer: -270*sqrt(13) + 1278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73989.19 litres to millilitres.\nAnswer: 73989190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (20152\/836 - 14)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, p: 4, o: 1, i: 1, e: 3}. What is prob of picking 3 e?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 12, e: 6}. Give prob of sequence eq.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**9\/16632 + w**8\/4620 - w**7\/4620 + w**3\/2 - 3*w. Let l(u) be the second derivative of t(u). What is y in l(y) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, c: 5, g: 4, q: 3}. What is prob of picking 1 g, 2 r, and 1 c?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30664053.\nAnswer: 3, 7, 31, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-7))\/(130*96\/244608).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499472970?\nAnswer: 2, 3, 5, 431, 38629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8823259.\nAnswer: 101, 87359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**4\/18 + i**3\/9 - 2*i**2\/3 - 5*i - 2. Let t(l) be the first derivative of k(l). Factor t(o).\nAnswer: 2*(o - 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295.489 meters in centimeters?\nAnswer: 129548.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 4004?\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115184\/13 less than or equal to 21\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*a - 44*a = 5*u + 100, 3*u + a = -60 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54996136?\nAnswer: 2, 13, 61, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24, -112, -258, -462?\n\"Answer: -29*v**2 - v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2*-1)\/2)\/(185\/259)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/7 + 27*h\/7 + 30\/7.\nAnswer: -3*(h - 10)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4371? (a) 0.5 (b) -5 (c) -2\/3 (d) 5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i + 74 = 0. What is the common denominator of ((-134)\/8)\/(9\/4) and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 862, 7101, 24058, 57073, 111486, 192637, 305866, 456513?\nAnswer: 649918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 15. Let z be w(15). Suppose 5*j - 2*v - 658 = z, 2*j - v - 85 - 179 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 9:22 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1059786 divided by 2.\nAnswer: -529893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - -120. Let v = r + -65.9938. What is v rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6 + (-410)\/(-4). Suppose a = 5*y - 113. What is the remainder when 128 is divided by y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-3.31.\nAnswer: -0.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -34985, 6, -309 in increasing order.\nAnswer: -34985, -309, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 20 - 9 - 17 + 2*a. Let h be n(9). Let d be (-86)\/(-4) - 1\/2. Solve 0 = -2*b + 4*u + h, 4*b - 4*u + 1 = d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*b + 16*b - 5*b)*(-b + 3*b - b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.397 - -1.603. Sort -0.4, i, -2 in ascending order.\nAnswer: -2, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmz when three letters picked without replacement from {z: 3, m: 3, h: 4, t: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -238 - -237.8. Which is the closest to -2? (a) 4\/5 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*q + 25 - 24 - 27 - 56*q**2 + 25 to the form k*q + y + n*q**2 and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-52))\/(925\/(-12025)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 592 - 237. Suppose -14 - 6 = 66*a - 76*a. Suppose a*b = -z + 73. What is b rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2728 + 2824. Calculate the least common multiple of 144 and n.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -2*p + 1\/3*p**3 + 0*p**2 + 0. Let a(v) = -5*v. Calculate a(o(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 2:45 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3 = -2*l + 5, 4*l = 2*t + 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**(17\/2)*j**(-6\/17)*j\/j**(4\/13))**(-31\/2) assuming j is positive.\nAnswer: j**(57071\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(22\/(-90) + (8\/(-90))\/(356\/(-534)))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -b + 14, -4*t + 9 + 11 = 0. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/(5 + 0) - ((-48948 - -1) + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5334673 a multiple of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4140 and 469548?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, u: 5, t: 3, r: 3, s: 6, x: 2}. What is prob of sequence txrx?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87510049?\nAnswer: 11, 53, 367, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/4)*i*(i*i**6)\/i)\/(i*i*i**(-1)*i)**(-33) assuming i is positive.\nAnswer: i**(295\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 divided by 11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 times -0.47?\nAnswer: 56.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474274 a multiple of 662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -129*d - 534. What is c(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-4) + 25\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7 = 2*y, 0*w + w = -5*y + 11. What is the nearest to w in -44, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 83310\nAnswer: -416550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 2*t**5 + 0*t**3 + t**3 + (-t**2 + t**2 - 3*t**2)*(2*t**3 - 3*t**3 - 2*t**3) + 2*t**5 + 3*t**4 - 3*t**4.\nAnswer: 9*t**5 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 8:41 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5324 - 3074. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 + 6*j + 29. What is f(-4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1419176*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 7*i - 2. Let m be y(6). Is m\/18 + 1324\/36 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8565.45 rounded to the nearest one hundred?\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-42) + 10\/6. Let y be t\/(1 + 0 - 0). Suppose -3*b = y*b - 375. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:01 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m = -15*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 31*n**2 - 5*n - 296. Give c(0).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3485293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, 322\/537, 4\/11?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*i - 106743 = -95*i. Calculate the remainder when i is divided by 62.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 0)*(b**3 + 0*b**3 + 0*b**3) + 5 - 5 + 32*b**3 to o*b + h*b**3 + x*b**2 + i and give h.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5*u = 70, 5*t + 4*u - 6690 + 6778 = 0 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**3 - 576259*o**2 + 926959*o?\nAnswer: -6*o - 1152518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + 1*sqrt(108)*1*2))**2.\nAnswer: 768*sqrt(3) + 6976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**5\/30 + t**4\/3 + t**3\/6 - 903*t**2. What is q(7)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 5, l: 1, x: 1, j: 4, o: 1}. What is prob of sequence xjj?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -595572034 to the nearest 1000000.\nAnswer: -596000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {n: 2, e: 11, d: 1}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 28. Let a = 10 - g. Solve t - 2*t = -a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -107\/549?\nAnswer: -107\/549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1382 is divided by 370.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44a2a4 (base 11) to base 12.\nAnswer: 2a672a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 12*j**3 - 2*j**2 + 3*j - 3. Calculate the remainder when b(2) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6498 - 8874. Which is the biggest value? (a) 0 (b) m (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from iofxqao?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 + 168 + 165 - g - 338 as f*g**2 + w*g + l and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 837479702 a multiple of 394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 70, -1215243 in decreasing order.\nAnswer: 70, 1, -1215243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332642 is divided by 3913?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1 (c) -3\/5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 13*k - 789 = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 17.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 6*p + 3. What is t(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1038, 4162, 9376, 16686, 26098, 37618?\n\"Answer: q**3 + 1039*q**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 11 = -0*b - b, 2*b = 3*j - 16. Suppose j*z + 15 = -z. Let v(g) = 1. Let m(y) = -2*y**2 - 2*y + 4. Calculate z*v(x) + m(x).\nAnswer: -2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(6*c - 9*c + c) + (1 - 6 + 4)*(2*c + 1 - 1) + 4*c - 4*c - 2*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + 2 - 2)*(h - h + 2*h) - 3*h + 5*h**4 + 3*h.\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p + 7. Give k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**6\/24 + l**5\/3 + 55*l**4\/24 + 5*l**3 + 3*l**2 - 6*l. Factor u(w).\nAnswer: -5*(w - 6)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39968675 divided by 4\nAnswer: 39968675\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14220)\/(-3))\/((-2)\/(-9)). Let y be 8960373\/420 - 15\/(-35). Let z = q - y. Find the common denominator of z and 11\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, m: 2, c: 3, g: 5, w: 1, s: 1}. Give prob of sequence gcw.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**3*u**2 + 78*k**3*u + 4*k**3 + k*u**2 - 73*k - 10*u - 2 wrt k.\nAnswer: 6*k*u**2 + 468*k*u + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r - 49. Let k be q(-23). Sort 1, k, -4 in decreasing order.\nAnswer: 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**4\/3 + h**3 + 3*h**2 + 10*h. Let l be o(-2). Solve -l = -3*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**8\/60480 - b**7\/2160 - b**6\/360 - b**5\/5 - 9*b**2 - 1. Let i(l) be the third derivative of n(l). Factor i(v).\nAnswer: -(v + 1)*(v + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5048 is divided by 1382?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -197007 or -197006?\nAnswer: -197006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 946\/660 - 6\/10 - 28\/56.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*h + 17293 = 51880 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -5766?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 14 (b) 3 (c) -5 (d) -2 (e) 2\/7 (f) 4995\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 19 + 29)*(-6*n - n - 57*n - 91*n).\nAnswer: -5115*n","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 2 i when four letters picked without replacement from eimimuimimm?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -1\/24*o**4 + 0*o + 0 + 3*o**2 + 1\/6*o**3. Let y(s) = 9*s - 1. Let z(q) = 3*t(q) + y(q). Give z(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-7) + -3 + (-4)\/14. Let n(u) = u**2 + 8*u - 5. Determine n(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*v - 5*o, v = 88*o - 83*o - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.4 - 20. Let r = 1.4 - j. Let m = 4 - r. What is the third biggest value in -5, m, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 14249433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5161\/8 - 5149\/8. Sort 3, -2, a, 14, 0.05 in decreasing order.\nAnswer: 14, 3, a, 0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14562870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**8\/60480 + o**7\/15120 - 2*o**5\/15 + 16*o**2. Let v(i) be the third derivative of g(i). Find u, given that v(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/21)*z*z*z**(2\/63))\/(z**(-11\/7)\/(z\/(z\/z**6*z))) assuming z is positive.\nAnswer: z**(86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 109909889 and 109909889 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + 18. Does 27 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155147795*i**2 - 22778087*i - 3 wrt i?\nAnswer: 310295590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12044170 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-5)\/25*(-10)\/8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-54)\/45)\/(15\/100). Let t be (33 - -7)\/n - (-291 - 1). Round t to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgfdvgzdfzdggg. What is prob of sequence fzd?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -339 + 166. Let c(g) = -g**2 + 2*g - 91. Let b be c(-13). Let s = t - b. What are the prime factors of s?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1019542\nAnswer: -1\/509771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117271 is divided by 382.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2916*v**2 - 4 - 17000*v**2 - 15392*v**2 + 3.\nAnswer: -35308*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 211\/224 + -19\/224. Determine g, given that 0 - 8\/7*g**3 - k*g**2 + 2\/7*g = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 222, 353, 516, 717, 962, 1257?\nAnswer: 1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209 + -139. Let u be ((-224)\/g)\/(4\/(-50)). Calculate the greatest common factor of u and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491022042715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3806, -7614, -11422, -15230?\nAnswer: -19038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {x: 2, y: 2, q: 9, p: 1, g: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 480, -8, -6, 3, 4, -2 in decreasing order.\nAnswer: 480, 4, 3, -2, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f**3 + 3*f**3 - 25*f**3)*(-5*f - 6 + 6) + 4*f**3 + f**4 - 4*f**3 + (0 + 2*f + 0)*(2 - 2 + 2*f**3) + f**4 - 2*f**3 + 2*f**3 - f**4 + 0*f**4 + 3*f**4.\nAnswer: 73*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-1*6)\/(2*sqrt(64)).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g. Let n(c) = 27*c. Let q(a) = -8*b(a) + 3*n(a). Let k(w) = -3*w**2 + 6*w. Give q(k(l)).\nAnswer: -3*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -568*v**2 + 569*v**2 - 123*v + 296*v**3 + 123*v.\nAnswer: 296*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.559528 weeks to milliseconds.\nAnswer: 4572002534.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 144790152 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 37*k**2 + 160*k + 131. Determine o(41).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 543\/748 + 9\/374. Let i = 0.31 - 0.01. Which is the smallest value? (a) z (b) 8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95114927*h*i**3 - 8447*h + 3*i**2 wrt i?\nAnswer: -570689562*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - f + 6, 3*m - 4*f + 2*f = 14. Let d be m - (-3)\/(-2)*-2. Solve 5*v = -5, -d*v - 13 = -2*n - 2*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 155*i**7\/7 + 334*i**3\/3 - 248. Find the third derivative of b(h) wrt h.\nAnswer: 18600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497876 is divided by 201.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 + 9096?\nAnswer: 9113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3491 - 1.4491. Is c equal to 2144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9252880 and 139810.\nAnswer: 101781680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -106446\/7 or -15206?\nAnswer: -15206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 5 - (16 - (17 + -53 + 17))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (72\/(-15))\/((-6)\/(-40)). Let o = y - -16. Let n be 2\/(-8) - 4\/o. Solve n = j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 113 - -31?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23858 divided by -1.\nAnswer: -23858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4))\/((-12)\/(-16)). Suppose 2*l - k*z + 538 = z, 5*z = 0. Let h = l - -1341\/5. What is the third smallest value in -1\/7, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 s when four letters picked without replacement from ucuucucsu?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 9 + 37 + -44.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 8. Let c be (40\/30)\/(1 + t\/3). Suppose -2*b + 9 = 3*o + 3*b, c*o + 2*b - 12 = 0. Let l(w) = -w**2 + 3*w + 1. Calculate l(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(9)\/sqrt(3)))\/(-5*sqrt(4)*2).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.67 + -7.14. Let u = r - -0.57. Put -8, u, -5, 2\/7 in ascending order.\nAnswer: -8, -5, u, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*(i*i\/i**(-9))\/i*i))\/i)\/i*i*i\/(i**8\/i)*i*i)\/((i**1*i)\/i)**(-2\/163))**(2\/19) assuming i is positive.\nAnswer: i**(-5212\/3097)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*b**2 - 174 + 61 + 113 + 101*b**2.\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puuupuu. Give prob of sequence uuuu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -81527341 and -242.\nAnswer: -81527583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*a**3 + 12*a**2 - 12*a**2)*(1 - 1 - 2*a).\nAnswer: 44*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142030 (base 5) in base 15?\nAnswer: -6595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2328099.\nAnswer: 3, 17, 191, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aei when three letters picked without replacement from iefixaf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*l**3 - 781352*l - 29005110 wrt l?\nAnswer: -63*l**2 - 781352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18844?\nAnswer: 2, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(3 - 286\/91). Solve -p + 1 = w, -p - 3*p = -3*r - 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13372418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 162471.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131 by -2932.\nAnswer: 131\/2932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138 - 404. Let p = 270 + w. Which is the nearest to -1\/15? (a) p (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -38, 3 in decreasing order.\nAnswer: 3, 0, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or 30.01?\nAnswer: 30.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, d: 5}. Give prob of sequence dq.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 3:17 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1377.05 - -1378. Round t to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.16, 0.3, 0.5?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z - 2*z + (z + 0*z + z)*(-4 + 1 + 1))*(50 + 35 + 426).\nAnswer: -1533*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, l: 10}. What is prob of sequence iil?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8230?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036 is divided by 238?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -20, -7, 12, 37?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - ((-27 - -73) + 1) - 10?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8*g + 7. What is i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:30 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957892.\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6cd6d (base 15) in base 6?\nAnswer: -11235434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(-8)\/(-6)*(-147)\/(-490)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104256*l = 104499*l + 18954 for l.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i**3 + 22*i**2 + 64*i - 1. Determine h(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -x + 40. Suppose -x = 5*q - 1387. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24795 and -0.2?\nAnswer: 24794.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -89205, -91523, -93841?\n\"Answer: -2318*o - 86887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21578*d**2 + 6222*d - 1?\nAnswer: 43156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -21*j - 531. Let u be t(-26). Solve -28*h - u = -25*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n - 219 + 0*n - 226 + 445. Let r(c) be the second derivative of 2*c**3\/3 + c. Determine s(r(p)).\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5370.\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 11*x**2 - 9*x - 10. Let g be k(10). Suppose -5*w = -g*w - 15. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -100) + (-8 - 37)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -19, 4 in decreasing order.\nAnswer: 4, 0, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/33, -4\/3, 0.3, -0.2, 39\/2 in descending order.\nAnswer: 39\/2, 0.3, 2\/33, -0.2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**5\/20 + m**4 + m**3 - 5*m**2\/2 - 7*m. Let k be v(11). What is k rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0 (b) 1\/2 (c) -30\/31 (d) -2\/13 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, -4, -7, 2 in decreasing order.\nAnswer: 7, 2, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -406511 (base 8) to base 6.\nAnswer: -2514321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from oxxopjmxjpxmpxxioxxo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 295?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.734 + -0.174. What is v rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -17 + 1 + 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 6:22 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -40730 (c) 1\/317\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*((-5*sqrt(48) - 2*sqrt(243))**2 - (-3*(sqrt(48) + sqrt(12)))**2) + 2.\nAnswer: 10084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - ((-6 - -24) + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5\/2 - 9*j**4 + 39*j**3\/2 - 18*j**2 + 6*j.\nAnswer: 3*j*(j - 2)**2*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**3 + 5*k**2 + 50*k - 101. What is t(2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/4 + 135*h**2\/4 - 279*h\/4 + 141\/4.\nAnswer: 3*(h - 1)**2*(h + 47)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - 2*b**3 + 2*b**3)*(-2*b + 0*b + 0*b)*(-1 + 1 + 5523*b - 6767*b).\nAnswer: 2488*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136637 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521 = -19*s + 385 - 1096 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25409 and 6?\nAnswer: 152454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125712*c + 125816*c + 3952 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 68*z**2 + 580*z - 52. What is j(58)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wew when three letters picked without replacement from eeeewweeeeweww?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 3*k + 18, -5*y = 4*k + 1311 - 1349 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -164, 2, -1 in descending order.\nAnswer: 2, 1, -1, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 887.8689 meters in millimeters?\nAnswer: 887868.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 841560 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9766*d**2\/3 + 87892*d\/3 + 6.\nAnswer: -2*(d - 9)*(4883*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10*k - 40 = 0. Let i(c) = -c**2 - 11*c + 10. What are the prime factors of i(k)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14803271*q*w**3 - 5*q*w**2 + 5*q*w - 536*q + w**2 - 2 wrt w?\nAnswer: 88819626*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -324.81*0.3\nAnswer: -97.443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 637383169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*q - 1. Let l be -1 - -6*(q + 0). Find d such that 4*d**2 + 8 - 6*d**3 - 8 + 4*d**4 - d**l - d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s + 4. Let x be (-1)\/s + 26\/(-40). Let r = 1.03 - -2.97. What is the third biggest value in -5, x, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 16*h + 536 = 0. Differentiate h*z - 98 + 21*z + 28*z wrt z.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-531)\/(-12)*(-168)\/(-126). Solve b*q - 63*q = -28 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(363) - (sqrt(363) + (sqrt(363) - (3 + sqrt(363)))**2)*3) + -3.\nAnswer: 105 + 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63153 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 108\/(-14) + (-2)\/7. Let w be (v\/(-14))\/(4\/14). Suppose 0 = -w*t + 3*l + 11, -2*t - 3*t + 19 = l. Solve t*g + g + 25 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -306184.023 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 1916 - 43204 = 0. Let g be ((-2)\/1 + j)\/(-2). Suppose -6*l - 6 = -3*l, 3*y = -2*l + g. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.23 - 12. Let a = 0.54 - 0.97. Let t = z + a. What is the third biggest value in 1\/2, t, 8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -21*o - 7864. Determine i(-370).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d = -w - 16*d + 2, -4 = -d for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 340143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 10*s - 10. Let h be i(-8). Suppose -2*c = 0, -k - 20 = -h*k + 3*c. Let p(f) = -f**3 + 6*f**2 - 7*f + 4. Calculate p(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.331 to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = -5*v - 55, -3386*v + 3381*v - y - 11 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/4 - 3\/(-4). Suppose -3*q - k = -2*z, -z = 5*q + 5 - 26. What is the least common multiple of z and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417492.\nAnswer: 2, 3, 11597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 29\/9)*-9. Factor d - 15*d**3 - 2*d**r + 29*d**3 + 8 + 3*d - 15*d**3.\nAnswer: -(d - 2)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94619255?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29622437?\nAnswer: 13, 2278649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1476086*z + 1984 = -1476022*z for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d + 4*d - 10*d - 2*d**2. Let p be 2 + (-3 - -3)*(-2)\/(-4). Let l(g) = g. Calculate p*l(h) + j(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 + 0.61. Let g = -0.75 + i. Round g to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 4*g**2 + 7*g - 99. Calculate b(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4197*m = 4192*m - 17, 3*m + 23 = -j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/12 - 5*u**3\/3 - 15*u**2\/2 + 2*u. Let k be t(12). Let h = 15574 - 15569. Solve h*m = 4 - k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152375 and 36691900?\nAnswer: 183459500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.13 + 0.122. Let o = a + -0.992. Let b = -3.1 - 0.9. What is the second smallest value in 4, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 1258*s - 4*s**3 + 530*s + 616*s to the form y*s**2 + i + v*s + k*s**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17\/(-9) - -2)*1*2. Solve -a - 2\/9*p**2 + 4\/9*p = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-64) + (-2198)\/(-16). Let a = u + -123. Calculate the highest common divisor of a and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n + 192 = 0. Suppose 0 = -v - 3*v + n. What is the highest common divisor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2913*o**3 + 6649*o**3 + 5814*o**3 + (3*o + 2*o - 7*o)*(2*o**2 - 1 + 1).\nAnswer: 9546*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**5\/5 - 11*w**4\/4 - 4*w**3 + 58*w**2 + 176*w - 2196. Factor s(l).\nAnswer: (l - 11)*(l - 4)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 + -17. Let v(h) = a - 2*h - 93 - 3*h. Let d(u) = 6*u. Let m(f) = 4*d(f) + 5*v(f). Let r(n) = 7*n**2. Determine r(m(z)).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62\/225 + -4\/75. Which is the closest to 0.1? (a) k (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65514?\nAnswer: 2, 3, 61, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000090235449 to 7 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Express -48 + 22 - 219*m + 25 in the form v*m + z and give v.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27 + (-2 - -5))*(-1)\/(-2). Is (3 - 5748\/z)*-5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170516 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o + 140. Calculate the least common multiple of d(-26) and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3\/5*b**3 - 3\/5*b + 3\/5 - 3\/5*b**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**2. Let i(n) = 338*n - 12. Let d(j) = -328*j + 10. Let z(v) = -7*d(v) - 6*i(v). Give z(s(h)).\nAnswer: -1608*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbjjdjdbjdb. What is prob of picking 3 j and 1 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9)*c*c**(1\/16))\/((c\/(c\/(c*c\/((c**(-12)\/c*c)\/c))))\/(c\/c**19*c)) assuming c is positive.\nAnswer: c**(-4423\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.4991462 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -292*z + 557. Is 15 a factor of m(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**4 + 46*h**4 - 2*h**4 + 2 + 0*h**4 - 2*h**4 + 3*h**4 + (-2*h + 0*h - 3*h)*(0*h**3 + 0*h**3 + h**3).\nAnswer: 36*h**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 0.5, 88, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(104) - 2*sqrt(104)*1)\/(6*(sqrt(336)\/sqrt(150))\/sqrt(7)).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-69)\/11270*2\/(-3).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2\/11, 27, -10, -3 in descending order.\nAnswer: 27, -2\/11, -3, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 7 = y, -8*y - 5*b - 29 = -11*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/135101 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, i: 2, c: 2, d: 2}. What is prob of sequence eii?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 463*-0.1\nAnswer: -46.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4879980?\nAnswer: 2, 3, 5, 7, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112275*g**3*p*s**3 + 4*g**3*p*s**2 - 6*g**3*s**2 + 3*g**3*s + 7*g**2*s + 2*p*s**2 wrt s?\nAnswer: -673650*g**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 1.78.\nAnswer: -1.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449 (base 12) to base 11.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 281*d**3 + 4050*d**2 + d - 1935310.\nAnswer: 1686*d + 8100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/6*18\/(-15). Suppose 3*m + 21 = -4*j + 2*j, 2*j = 3*m + 9. Sort b, 5, m in descending order.\nAnswer: 5, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*3\/162*6\/(-10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18036 and 21449313.\nAnswer: 4509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -2\/3 (b) -0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 2*u - 2*u)*(u**2 - 3 + 3) + (11 - 104 + 21)*(3*u**3 + u**3 - 3*u**3 + (u**2 + 2*u**3 - u**2)*(5 - 4 + 1) + 0 - u**3 + 0).\nAnswer: -286*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 17. Let m be o(-12). Suppose 4*j + 18 = 4*n + 2, -2*j - 15 = m*n. Let s be 9\/6*4\/15. What is the nearest to n in s, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -139786828 at least as big as -139786827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 234, 302, 334, 330, 290?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 7*w - 6. Let m be k(7). Let p be (-4)\/m - (-25)\/(-15). Which is bigger: -2\/13 or p?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6135*k - 46819 - 148785 - 163628 = -2393*k for k.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b + 3. Let k(j) = -9*j - 5. Let u(r) = -5*a(r) - 3*k(r). Let o(v) be the second derivative of 2*v**4 + 36*v. What is o(u(l))?\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0884372247 rounded to 5 decimal places?\nAnswer: 0.08844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 192 = -3*x, x - 78 = -5*w + 2*w. Suppose b - x = -2*b. Let c be (1 + 1)\/2*b. Solve 3*s - 5*s + 5*a = c, s = 2*a - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*g + 2*v + 6, 2*g + 3 = -3*v. Let t(i) = -4*i**2 + 6*i + 4. Let b(k) = 4*k**2 - 5*k - 3. Calculate g*t(n) - 4*b(n).\nAnswer: -4*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -1 - 1)*1. Let b(x) = x - 8. Let w be b(9). Let o be (w + 0 - -2) + u. Solve o*y - 2 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2604 + 2.3005. Which is smaller: 3\/17 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8482, 8441, 8410, 8395, 8402?\nAnswer: 8437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 5*y**2 - 5*y + 2. Let z be u(-4). Let w be (-2 - -3)\/(72\/(-75) + 1). Suppose 0 = -11*r + z*r + w. Solve 0 = r*f - 0 - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d2d (base 16) to base 12.\nAnswer: -43a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlerrre. Give prob of sequence ree.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.6 + 0.4. Let z = 4 + -5. Let d = 0.1 - 0.1. Sort b, d, z in decreasing order.\nAnswer: b, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -158, -532, -1154, -2024, -3142, -4508, -6122?\n\"Answer: -124*w**2 - 2*w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 0 + 6 = 2*s, -5*r = -4*s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*l*w**3 + 28447*a*l*w**2 - 3*a*l - 3*a*w**3 + l*w**3 - 3*l*w**2 - 87635*w**3 wrt w?\nAnswer: -6*a*l - 18*a + 6*l - 525810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*a + 3233 + 780, 0 = -5*l + 10. Calculate the highest common factor of 77 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/((-4)\/96). Let b be 9\/t + 2\/8. Let j = -1 + 4. Solve -n + j = -b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/8)\/(-231)*282\/(-940)?\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108 + -60. What is the remainder when c is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 621 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350*d - 352*d = 2. Let l(r) = 4*r**2 - 12. Suppose 0 = 2*n - 5*i + i - 14, -3*n - 12 = 5*i. Let y(x) = -1 + n + 1. Give d*l(g) - 12*y(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (15 - 16) + 17\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 + 178. Let m(k) = 8*k**2 - k + 1. Let w be m(-2). Solve 0 = -f + 4*a + g, -3*f - a = -5*a - w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(216\/8)*-18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000078274 to 7 dps.\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/9)*x**(-2\/5)*x)\/(x\/(x*x**(1\/3)\/x*x))**(3\/5))**(-40) assuming x is positive.\nAnswer: x**(-128\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cll when three letters picked without replacement from cccgglxngllnq.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351451067?\nAnswer: 11, 31950097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.0246573 rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 b when four letters picked without replacement from qbbqtnqqbbqqpqqbnntt.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -74. What is the fourth biggest value in -3\/5, h, 0, 9\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10749 is divided by 5363?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 315011 (base 8) in base 4?\nAnswer: 121220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5020*f + 9920*f - 5177*f.\nAnswer: -277*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -15. Suppose d - x = -11. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/20*5\/4. Suppose 24 = -6*d, 9*j = 11*j - 4*d - 12. Sort 1\/4, j, a in ascending order.\nAnswer: j, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -755*a**2 + 13*a. Let u(s) = 6*s + 5. Determine u(y(g)).\nAnswer: -4530*g**2 + 78*g + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -68086.13 to the nearest ten.\nAnswer: -68090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38678 is divided by 678.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 7. Suppose -c*w + 14 + 145 = -3*g, -4*w + 164 = -4*g. Suppose 0 = -5*x + 14 + w. Solve -5*i = 5*u + x, -4*u + 6*i = 2*i - 24 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 135 + 4693*z**2 - 132*z - 2342*z**2 - 2354*z**2.\nAnswer: -3*(z - 1)*(z + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3, -0.362?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -298*k**4 - 34*k**3 - 2853*k**2 wrt k?\nAnswer: -7152*k - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 401 + -395. Let o(t) be the second derivative of 0*t**5 + 0*t**2 + 0*t**4 + b*t + 4\/15*t**6 + 5\/6*t**3 + 0. Find the second derivative of o(d) wrt d.\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-8 - (-9 + -6 + 14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33322 (base 4) to base 14.\nAnswer: 52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*d + 8 - 13 + 6 + 0 + 1 in the form u*d + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719356 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/63 + ((-43)\/9 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a**2 + a + 2. Let i(q) = q**2. Let f(g) = 6*i(g) + y(g). Calculate f(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 - l**2 - 3*l. Let c be h(3). Let q be -4 - ((-30)\/(-135) - (-286)\/c). Let z be ((-8)\/8)\/(2\/8). What is the nearest to z in q, 0, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -21*g**3 - 8*g**2 + 7*g + 1. What is m(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3*g**2 + 2*g)*(8 - 8 + 8*g).\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001233 (base 4) to base 10.\nAnswer: 8303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15953 - 16?\nAnswer: 15938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 816 - 816 + 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*c + 12. Suppose c*r = 3*r - 24. Let q = r - -161. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**3 + 4*v**2 - 2*v + 4*v**3 - 3 - 2*v. Let j be l(-4). Let h = j - 9. Solve -z = -r + h, 0 = -z - 4*z + 4*r - 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1 = 2. Let g(n) = 33*n**3 - 3*n**2 + n + 1. Let y be g(o). Let j be 4 - (3 + -1) - -14. Calculate the highest common factor of j and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + s**4 + 0*s + (128*s + 26115 - 26116 - 40*s)*(-5*s**2 + 5*s**2 + 9*s**3).\nAnswer: 793*s**4 - 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**6 - 137*g**5*t - 2*g**2*t + 16*g**2 + 2*t wrt g?\nAnswer: 240*g**3 - 8220*g**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-2))\/(-1))\/((-8)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8193 or -9\/46?\nAnswer: -9\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.395 - 18.95. Let y = -0.045 + t. Let l = y + -4.418. What is l rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2264499.215 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 502\/(-36)*-3 + (-19)\/(-114). Solve -k = -5*n + 19*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 827 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164 and 92291?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 1*-2*sqrt(405) + sqrt(5) + 4*sqrt(20)\/sqrt(4) + sqrt(15)\/sqrt(27) + -1)*4*-3)**2.\nAnswer: 1056*sqrt(5) + 9824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d - 34. Let p(b) = b**2 + b + 2. Let v(y) = 6*y**2 + 5*y + 10. Let f(a) = -11*p(a) + 2*v(a). What is the remainder when d is divided by f(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 9, r: 5, j: 3}. What is prob of sequence qjz?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*b + 4)*(0*b - 2*b + 0*b) + 3*b**2 - 2*b**2 + b**2 - 15*b**2 - 10*b**2 - 50*b**2.\nAnswer: -65*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3872533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591939?\nAnswer: 3, 89, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**2 + 23437*x - 3. Give g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 times 464.409\nAnswer: -1253.9043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14576537 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35\/51 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 228*z**2 - 55*z**2 - 58*z**2 - 57*z**2 - 56*z**2. Let x(n) = -2*n + 23. Give x(v(b)).\nAnswer: -4*b**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122*x**3 - 2*x - 7.\nAnswer: 732*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*u - 101*u = -1704. Suppose -361 = 7*z - 12*z - 2*l, u = 4*z + 4*l. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)*v*v**(-2\/11)*v)\/(v**2)**(1\/5) assuming v is positive.\nAnswer: v**(-87\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 237681208 a multiple of 5513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.1, -4\/13, -0.5, 73 in descending order.\nAnswer: 73, 0.1, 0, -4\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-196 - -152) + -3 + -1\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - j**3 + j**3)*(-23 - 7 - 20).\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.84 and 22437.\nAnswer: 86158.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 - 1. Let u(f) = 2*f**2 - 11*f - 48. Let p be u(8). Sort 0.4, x, p.\nAnswer: p, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -1. Suppose -4*x = 3*y - 51, -x - 5 = -k*y + 11. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1211.161 centuries?\nAnswer: 1453393.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*f + 71 = 0, -2*r + 4*f = r - 89. What is the remainder when 40 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6828124913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lplyyp. Give prob of sequence pp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -75, -51, -17, 33, 105, 205?\n\"Answer: h**3 - h**2 + 20*h - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2*a + 0*a + 134 = 0, 5*a - 719 = 40*m + 1961 for m.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 + v**2 - 3*v + 7. Give c(-3).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -52. What is the remainder when 47 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {u: 6, h: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-6629.\nAnswer: 6629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 139*p**2 + 6*p + 11395. Let q(n) = -301*n**2 - 13*n - 22791. What is -13*m(l) - 6*q(l)?\nAnswer: -l**2 - 11389","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442216753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4298522?\nAnswer: 2, 19, 31, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-10))\/(-4 - (-332)\/80). Suppose 0 = -r + z + 10. Suppose -41 = -4*c + 7. What is the greatest common divisor of r and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 686, -0.3, -0.03?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.5, -2, 1\/3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(4)\/sqrt(2) - -3*1*sqrt(2) - (1*sqrt(18)\/sqrt(3))\/sqrt(3))*-5)**2.\nAnswer: -750*sqrt(2) + 1075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2, 3, -45, 16 in descending order.\nAnswer: 16, 3, 2, 1, 0, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 6*j - 1. Suppose 39*f + 31*f = -11*f - 324. Determine s(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 225040874 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4006*q + 8000*q - 3992*q - 9055*q**2 as i*q + u*q**2 + k and give u.\nAnswer: -9055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (183\/6222)\/((-1)\/152) + (-18)\/(-4)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.065479 and 10.7436.\nAnswer: 10.809079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 104?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1011011001010 (base 2) to base 7\nAnswer: -23003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*t - 59*t + q - 7613 = 0, -3*q + 7603 = t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 140*t + 198*t - 38*t as y + v*t and give v.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.08, 0, -2, -91, 0.26, -2\/7?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -815 divided by 99?\nAnswer: -815\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.93 - -0.73. What is the nearest to -3 in -3, a, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 + 2*r**3 + 7 + 5*r**2 - 3*r**2 - 7 - r to the form s*r**3 + l*r + m*r**2 + i*r**4 + h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-5) - (-2 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from {j: 3, n: 2, f: 1, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**3 - 35*b**3 - 21*b**3.\nAnswer: -48*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36.4 - 36.664. Let h = s + 0.164. Is h equal to -196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 225922802 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 15 = -9*b. Let w = -0.34 + 0.04. Sort b, w, 0.4 in ascending order.\nAnswer: b, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -5 (c) -324327\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -246.1 - -246. Let t = -3 + 2.8. Which is the closest to h? (a) t (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.31873\nAnswer: -1.27492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28625 = -662*b - 23991 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 9*w - 12)*(-1 - 6 + 2)*(w + 3*w + 0*w) + (2 + 4 - 1)*(-w**2 + w**2 - w**2) in the form y*w**2 + u + f*w and give y.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-4)\/(-5))*(-8)\/(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -494 - -477 - (3 + -1 + -42)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - -3*(sqrt(243) + 1 - sqrt(243))) + (sqrt(243) - sqrt(243)*-2) + 5 + 0 + (-1*sqrt(243) - sqrt(243) - sqrt(243)) + 0)**2.\nAnswer: 144*sqrt(3) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*x**3 + 52*x**3 + 1089*x - 2184*x + 16*x**3 + 1095*x.\nAnswer: 142*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2, -94 in descending order.\nAnswer: 11, -2, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z + 13*z + 5*q + 33, 9 = -4*z - 5*q. Find c such that 0 + 9\/4*c**3 - c**z + 5\/2*c**2 - 3\/4*c = 0.\nAnswer: -1, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10238 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 306112.2 and 29021.\nAnswer: 335133.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -155.018 - -21383.435.\nAnswer: 21228.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 63406?\nAnswer: -63414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39486 is divided by 1200.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 20 = 30. Let o = u - 9. Let j be 4 - ((2 - 2) + -1). Solve 0 = 5*l + 5*t - 15, l - 4 = -j*t - o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -924, -22, -27, -1 in decreasing order.\nAnswer: -1, -4, -22, -27, -924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 3*o + 24 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15 = 0, 4*i - 66 = -4*s + 2*i. Calculate the greatest common divisor of s and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*q**2 + 41*q**2 - 2*q + 41*q**2 + q**3 - 2*q**4 - 1 to h*q**3 + m + g*q**2 + c*q + b*q**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 25. Suppose -138 = -16*b - 7*b. Solve -5*r - b = l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4448887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1. Let m(w) = w - 13. Let x(p) = 2*j(p) - m(p). Suppose -7 = -2*a - 1, -f + 21 = 5*a. Calculate the lowest common multiple of f and x(-13).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -64990, -129971, -194942, -259897, -324830, -389735, -454606, -519437?\n\"Answer: l**3 - l**2 - 64985*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1 + -10 + 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n - 6*n + 0*n + (5 + 1 - 4)*(-2 + 2 + 2*n) + 2*n - 4 + 4.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0605 plus -10770?\nAnswer: -10770.0605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*i - a - 0, -2 = 3*i + a. Let q(s) = 5*s - 1. Let p be q(i). Suppose 4*v - p = -0*h + 3*h, 5*h = -2*v + 2. Solve -b = -h + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7545787*w**3 - 3999441*w**2.\nAnswer: 45274722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {n: 2, s: 1, c: 1, u: 1, d: 1, f: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 271.9 - 272. Suppose -3*a - 2*a + 10 = 0. What is the nearest to -2\/5 in a, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6332123?\nAnswer: 7, 18461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -58173000 rounded to the nearest one hundred thousand?\nAnswer: -58200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.0492674 times 0.1\nAnswer: -0.00492674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.95844 millennia in years?\nAnswer: 26958.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -242212 and -242212 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 7 = -1. Let p be (4\/3)\/(0 - -6) + (-8364)\/(-2214). Put -48, p, x in descending order.\nAnswer: p, x, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -11. Let n(i) = -i**3 - 3*i**2 + 5*i + 4. Let l be n(g). Suppose l*q - 4*q + 197 = 3*w, -245 = -5*q - 5*w. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s\/(s**0\/s))\/s*s)\/s)*s*s**1)**(-1\/7) assuming s is positive.\nAnswer: s**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.67269, -1, 0.93, -2\/5 in descending order.\nAnswer: 0.93, -2\/5, -0.67269, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -164 + 179 + -2 + -19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 1d0?\nAnswer: 1d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 c, and 1 d when four letters picked without replacement from cssxxxscidssxxdn.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/3 and -50\/9441.\nAnswer: 9441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 401 in 32, 4, 231, -3\/5?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15\/116 - 17\/580. Sort b, -3\/8, 1\/7, -2 in descending order.\nAnswer: 1\/7, b, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -419, -432, -445, -458?\n\"Answer: -13*d - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9132012 and 16.\nAnswer: 36528048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.019? (a) 24\/47 (b) 3 (c) 0.05 (d) -3 (e) 0.5 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 1. Let f(y) = y. Let v(m) = 4*m + 3. Let x(n) = 5*f(n) - v(n). Let z be x(3). Sort a, z, -0.2 in increasing order.\nAnswer: a, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, h: 7}. Give prob of picking 2 h.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 3*d**2 - d. Let y be w(-5). Let l = -53 + y. What is the third derivative of -2*c**2 + 6*c**3 + 11*c**2 - 2*c**l wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + sqrt(168)\/sqrt(3))\/sqrt(7))\/(sqrt(4) + (sqrt(72)\/sqrt(3))\/sqrt(6)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 43 - 342*a + 2249*a + 39 to the form p + w*a and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h = 30. Suppose -2*p + 8 = 2*g - 36, 0 = 4*p + 2*g - 88. Calculate the least common multiple of h and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*t + 3 = 0, t - 3*t = 2. Differentiate 2 - 3 + g + 3*a with respect to a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiihiaiia. Give prob of sequence ia.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 13) to base 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1007 - 1006.99996385. Round d to 6 dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = 2*i - i, -l - 4*i = -10. Suppose 2*z = -3*r + 148, r + 5*z - 54 = l*z. Does 48 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 + 12\/(-7). Suppose 12046 - 12076 = -6*c. Sort -5, q, c in decreasing order.\nAnswer: c, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((1*sqrt(84)*2)\/sqrt(6))\/(sqrt(84)\/(2*sqrt(12)*-1)) + -3).\nAnswer: 3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021199798 to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -64266455 divided by 11\nAnswer: -5842405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + 0)\/((-4)\/30). Let o = 46 + m. What is the remainder when o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -37349 and -44753 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -8. Suppose r - d*r = -9. Find the second derivative of 3*l**3 - 3*l**3 - 3*l + 3*l**r wrt l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 2*d + 0*d)*(0*d**3 + 0*d**3 - 2*d**3)*((-1 + 2 - 3)*(0*d + 0*d + 2*d) + 24259*d - 11670*d - 11260*d).\nAnswer: -5300*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3\/8, -1\/4, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from {a: 2, r: 3, o: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/59 (b) -2 (c) -0.4 (d) 0.1 (e) 91.7 (f) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -313.974125 to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-6 - -3) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46016.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 - -11 - ((-1)\/21 - -2). Let l(z) be the second derivative of 0 + 0*z**2 + 2*z + s*z**3 - 3\/70*z**5 - 1\/21*z**4. What is g in l(g) = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*p - 25 = -3*t, 4*t - 142 = p. Is (26\/(-1)*(t - -2))\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1 - (9 + 2006\/102)) + (-4)\/3\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**4\/42 + 538*i**3\/21 - 72361*i**2\/7 + 288*i. Find w such that x(w) = 0.\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14\/87 - -997\/5655. Is u greater than or equal to -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1607 + 1628. Are -1\/12 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 43. Suppose 0 = 5*j + 2*d - 12 - 8, -j = -p*d - 4. Solve j*w - 16 = -0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -10. Let k(g) = -1. Let q(h) = -2. Let o(a) = y*k(a) + 6*q(a). Let i(j) = 3*j + 6. Calculate i(m) + 6*o(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -4*w**4 + w**2 - 27*w + 10. What is the second derivative of a(m) wrt m?\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.98 - -0.02. Let m = -18 + k. Let d = -22.1 - -22. What is the nearest to m in -0.4, d, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-252)\/(-176) + -31 + 15850\/550\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005706263 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 6*y + 2*y)*(-9*y - 5*y + 24*y) + (-1 - 1 + 4)*(2*y**2 - 2*y**2 - y**2).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125600*k**3*p**2 - 8*k**3*p - 2*p**4 - 10*p + 11 wrt p?\nAnswer: 251200*k**3 - 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9)**(-1\/6) assuming h is positive.\nAnswer: h**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*p = 28*p - 13*p + 416 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -14. Let s be 10\/(-3) + 2\/6. Let h be d\/s + (-5)\/(-15). Solve -h*b = -b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -75.6. Let i = s - -17. Sort -3, 1, i in decreasing order.\nAnswer: 1, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21844 - 1.445?\nAnswer: -21845.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 + -90. Let h be (-1 + -17)*(-1)\/2. Let q be (2 - h\/8) + -1. Is q at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 16 = -d. Let h be (2 + -3 + 2)*-2. Let f be (14 + -2)\/((-3)\/h). Calculate the highest common factor of f and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -612, -614, -616, -618?\n\"Answer: -2*d - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30322, -121239, -272764, -484897, -757638, -1090987, -1484944?\n\"Answer: -30304*i**2 - 5*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from {c: 2, e: 1, u: 6, p: 4, i: 2, z: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106214820?\nAnswer: 2, 3, 5, 29, 61043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.073 + 551.893. Let h = k + -538. Sort 3\/2, 0.2, -0.3, h in descending order.\nAnswer: 3\/2, 0.2, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2*d - 4*d - 62 = 0, 5*z - 620*d = -618*d + 310 for z.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 170*d + 615. List the prime factors of u(141).\nAnswer: 2, 3, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2465521248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/((-3)\/(-13)))\/(27 + (-848)\/32). Solve 0 = -43*i + 17*i + u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 + 3*y + 12. Let z(n) = -12*n**2 - 9*n - 35. What is -8*i(f) - 3*z(f)?\nAnswer: 4*f**2 + 3*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 420, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*k**4 - 124.\nAnswer: -144*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6176 divided by -607?\nAnswer: -6176\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z**3 + z**2. Let x be a(1). Let v be 4\/(-8)*-1*x. Let y = 21 + v. Calculate the highest common factor of 119 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.34 + -9. Let f = a - -0.46. What is the nearest to -0.1 in -3\/7, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -52, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 4 (b) 2\/9 (c) -0.2 (d) 9.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from {x: 3, y: 13, c: 3}.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 0*y - 2*q - 5, -3*q = y + 7. Let f(s) be the third derivative of -s**3\/6 + s**2. Let j(z) = -z + 2. Let n(a) = y*f(a) - j(a). Give n(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 135, 134, 119, 84, 23, -70, -201?\n\"Answer: -l**3 - l**2 + 9*l + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, w: 1, v: 2, g: 2, f: 1}. Give prob of sequence gfr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48744 = 1098*w - 407*w + 663*w for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.388 and 2.\nAnswer: -6.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-5)*x*x**(-8)*x**(-2)*(x**(-5\/6)*x*x)\/x)**9 assuming x is positive.\nAnswer: x**(-231\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*t + 1, 5*w - 3*t = -0*t + 30. Suppose 0 = -4*m - 5*r + w*r + 187078, 2*m + 5*r - 93535 = 0. Is m\/45*(-6)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Suppose -b = v*b - 44. Let r(l) = -l**3 - 3*l**2 - 5*l + 3. Let s(c) = -6*c**3 - 15*c**2 - 24*c + 14. Let j(x) = b*r(x) - 2*s(x). Determine j(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1868\/18 + (-16)\/(-72) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h**3 + 2*h**2 - 4*h + 4. Let g be o(-3). What is the remainder when 37 is divided by g\/10 + 4\/10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -5*m**6\/6 - 75*m**5 - 5025*m**4\/2 - 117950*m**3\/3 - 628425*m**2\/2 - 1250235*m - 2982. Determine s so that q(s) = 0.\nAnswer: -27, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -18690*r + 112117. Calculate z(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 3*p**7\/70 - p**5\/6 + 10*p**2. Find the third derivative of u(r) wrt r.\nAnswer: 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 159 - 69. Is 5478\/b - (-2)\/15 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 3, -3*o + 4*h + 9 = 36 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382 divided by 398.\nAnswer: -191\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((9\/(-7))\/3)\/((-1)\/7). Let w(o) = o**2 - 3*o - 3. Determine w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 15. What is the second smallest value in -0.3, r, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -316\/6015 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b41 - 78?\nAnswer: 2a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -44d9a1 (base 16) in base 5?\nAnswer: -2123342121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*w**2 + 43*w**2 + 46*w**2.\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -473.5446 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2674 divided by -7?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 1036 (c) -5 (d) 3 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 33. Let h be (-28)\/5 + x\/(-35). Let z = 3 + h. Let t(j) = j**3 + 4*j**2 - j + 3. Let u(b) = 2*b**3 + 11*b**2 - 2*b + 8. Determine z*u(i) + 8*t(i).\nAnswer: 2*i**3 - i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1773, 1827, 1875, 1917, 1953, 1983, 2007?\nAnswer: 2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4861065.4 rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7561812, -15123628, -22685444, -30247260?\n\"Answer: -7561816*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.07942 * -14610\nAnswer: -1160.3262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*k - 90 - 42 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -3, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 - -59. Let w = -382 - -261. Let y = k - w. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 84.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 5*u - 4. Let c be w(3). Suppose -y - c*k + 20 = y, 0 = 4*y - 4*k. Suppose -304 = -5*j + 2*s + 29, -y*s + 72 = j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16606 = -5*x - 2*p - 16614, 0 = -3*x + 4*p - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 215 + -148. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 8*k = -7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14042 rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8\/201 + -241\/1005. Let b = -15.1 - -2.1. Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from iikieeikk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7919516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1955 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24942 is divided by 1456.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -27. Let t = x + -2. Let u = t + 21.026. Round u to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1026 is divided by 117.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 28 = -3*h, 2*h - 7*h - 45 = -3*c. Let k be 4\/h + 29\/3. Let j(i) = -9*i + 495. Let g be j(53). What is the greatest common factor of g and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4128793531.\nAnswer: 4128793531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = 0, -2*s = -8*n + 7*n + 3. Suppose -n*i = 22 - 57. Solve 5*w - i = 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from llblannnnlnnnqq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - p - 4*p - 165, -4*g = -3*p + 153. Let b = 36 + g. Suppose b = 3*z - 11 - 1. Solve -2*d + d - 9 = -2*f, f + z*d + 18 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3782 by -234324.\nAnswer: 1891\/117162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22100864?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -456, -3, -4 in increasing order.\nAnswer: -456, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 141, 278, 415, 552, 689?\n\"Answer: 137*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*-2)\/sqrt(11))\/(sqrt(16)*1).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**3\/6 - 9*r**2 + 6*r - 5. Determine d(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143804351?\nAnswer: 143804351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 + -204. Let i = g - -119.943. Let n = 1.237 + i. Round n to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 8:40 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 906 divided by -302?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k = k - 1240. Solve 5*f - 6 + k = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573 greater than -0.69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-32)*(-2 + (4 - 360\/25)). Let x be (-21)\/4 + 8\/32. Which is greater: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**3\/6 + 24*z - 2. Let x(o) be the second derivative of -13*o**3\/3 - 14*o. Calculate m(x(i)).\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1351*n - 1354*n + 7 = -5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12604 - -13466. What is the remainder when l is divided by 253?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o**2 + 39*o**2 - 19*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-162)\/12*(0 - 2). Suppose -29*a - 98 = -z*a. Is -44 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/589476 and -55\/24?\nAnswer: 1178952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3131303 and 559.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37794 = -3*z - 14214. Suppose -123*d + 113*d = -z. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*y**2 + 83*y - 83*y - 28*y**2 - 36*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 = 6*u + 328 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2214a (base 12) to base 7\nAnswer: 245401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*v = 270. Let u be ((-12)\/60)\/(22\/v). Let z = -19\/154 + u. What is the second smallest value in z, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 82, 63, 36, 1?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5195533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -11*g**3 - 2*g**2 - 2. Let x(h) = -h**3 - 1. Let k be (30\/5 - -1) + -1. Let z(d) = k*x(d) - 3*l(d). What is the third derivative of z(s) wrt s?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 10\/173 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/12 + 14*j. Let s(h) = 4*h. Calculate s(c(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -127, -326, -723, -1384, -2375?\nAnswer: -3762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (130\/14 - -1)*(-23 - -16). Let u = 80 + q. Are u and 11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1204*l + 1286*l = 902. Solve 0 = -4*j + 2*w - 6, -5*j + 5*w = 6 - l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4191 - 4186 - 4184 + 16336 - 3781 - 20*o.\nAnswer: -20*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2608\/9 in 1\/4, 0.3, 3\/5, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -647 - -644. Let d = 45\/77 - 8\/11. What is the biggest value in g, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - -72?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (7 + (1 - (21 + 1 + -11)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -i - 27 - 573, 3*t + 461 = 2*i. Let u = 154 + t. Solve 7*m = u*m + c + 7, -5*c = m - 28 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**2\/7 + 631020*t\/7 - 11357064\/7 = 0. What is t?\nAnswer: 18, 157737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -19*c. Let l(a) = 554*a**2 + 7*a + 1. Give l(g(k)).\nAnswer: 199994*k**2 - 133*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*a**2 + 11*a - 26*a**2 - 502*a**3 - 25*a**2 + 179*a**3 wrt a.\nAnswer: -1938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((9\/(-3))\/42). Suppose -y - 64 = o. Let s be (12\/(-14))\/(y\/(-28) - 3). Calculate the highest common divisor of 44 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = 5. Which is the third smallest value? (a) 1 (b) u (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t**(2\/9))\/t))\/((t\/(t*t**(-1\/7)\/t))\/t)*(t\/((t*t**(-4)\/t)\/t))\/t**(-12) assuming t is positive.\nAnswer: t**(1174\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -35247 divided by 379?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 13*j - 8. Is 11 a factor of q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:07 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 253 and -594.\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1919, 3835, 5751, 7667?\nAnswer: 9583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9392.1261 rounded to 0 decimal places?\nAnswer: -9392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 12*d + 16. Let v(z) = 4*z + 5. Determine 5*j(s) - 16*v(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 373138178 divided by -186569089.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 6\/21)\/((-12)\/(-42)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33710993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (1 + -1) - 4 - -8. Suppose -q*n - 6 - 9 = 0. Let v be ((-12)\/22)\/3*1. Which is the second biggest value? (a) v (b) -1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h = -10. Suppose 4*a + 25 = 5*r, 4*a + 17 = 4*r - 3. Sort -4, r, h in increasing order.\nAnswer: h, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552*i = -503*i - 2337839. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -3. Suppose -w - s = 0, 3*s - g = -2*w + 6*s. Does -1\/25 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 389 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c. Suppose 4*m = 9*m + 20. Let d be 2*(9\/9 + 6\/m). Let f(w) = -w + 2. Let z(u) = -20*u + 30. Let j(y) = d*z(y) + 15*f(y). What is r(j(o))?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 12*q - 7 = 10*q, -2*a = -3*q + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 plus 92.59?\nAnswer: -182.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4833, -9626, -14409, -19176, -23921, -28638?\nAnswer: -33321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**3 - 4*g**2 - g. Let a(u) = -3*u**3 - 3*u**2 - u. Let l(m) = -m + 4. Let h be l(0). What is h*y(j) - 5*a(j)?\nAnswer: -j**3 - j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 264 - 267. Let p be 0*(-1)\/4*2. Let r(t) = -9*t**2 + p + 5*t + 4 + 10*t**2. Determine r(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 1 + 1702*f + 61*f.\nAnswer: 1763*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 - 0.46. Let x = 11.736 - 11.826. Which is the fourth smallest value? (a) 2 (b) p (c) x (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -4, -5, -0.03733, 3096 in decreasing order.\nAnswer: 3096, 3\/4, -0.03733, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -6 - (-11 - -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118.047 - 0.047. Let p = i - 117.8. Put 0.12, 0.1, p in increasing order.\nAnswer: 0.1, 0.12, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(77)*4)\/((3*sqrt(1584) - sqrt(1584) - sqrt(1584)) + sqrt(1584)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20568 = 444*u - 4140 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -5.10243193894\nAnswer: 4.80243193894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3171892 + -0.3.\nAnswer: -3171892.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 + 5*f**2 - 11*f + 14. Let w(b) = -b**3 - 2*b**2 + 5*b - 6. Let t(q) = 6*a(q) + 14*w(q). Factor t(m).\nAnswer: -2*m*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1962 is divided by 181?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8772198?\nAnswer: 2, 3, 1462033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -0.5, 21, 1\/6, -2\/51, 5.006?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -1\/27, -0.5, -174?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1584462104845 - 0.022\nAnswer: -1584462104845.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 296 + -303. Sort -0.3, c, -2\/5 in descending order.\nAnswer: -0.3, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 598240 and 2.\nAnswer: 598240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-176)\/(-10))\/(2\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/3)*(n*n*n*n*n**(3\/7))\/n*(n**(-1\/3))**13)**(1\/94) assuming n is positive.\nAnswer: n**(-5\/1974)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 0*s + 3*s**2 - 2 + 2*s**2 - 2*s. Let t = 116 + -113. Is i(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 944 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 18 + -18 + -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 17*w. Suppose 0 = -2*l + 6. Let o(f) = -f - f + l*f. Determine o(r(s)).\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 908968 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a13a7 - 1?\nAnswer: -a13a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9581227?\nAnswer: 9581227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtlkxqb. What is prob of picking 1 t and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + -2*sqrt(99))*4)\/(sqrt(9) + sqrt(90)\/(sqrt(70)\/sqrt(7))))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - -24. Let t = 40 - f. Let x be (-16)\/(-6) + (3 - (-44)\/t). Solve c + x*c = -15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = 3. Suppose -i - 2*b - 190 = -b, 960 = -5*i - 3*b. What is the hundreds digit of y*1\/((-10)\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 39 (b) 16 (c) 2729 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {u: 7, d: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -13 + (1 - (0 + -3)). Calculate the least common multiple of 20 and 4\/n*36\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1076 and -1237458211.51.\nAnswer: -1237458211.4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6897, -13796, -20695, -27594?\n\"Answer: -6899*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x + 2*f = 0, 0 = 3*x + 5*f - 19. Let w(c) = -c**3 + 48*c**2 + 945*c + 5. Let g be w(63). Sort g, 18, -1, x.\nAnswer: x, -1, g, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24354537 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 7*l + 3. Let z = 68 + -52. Let c = z - 19. Determine o(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 9*i - 8*i. Let w = -25 - i. Calculate the greatest common divisor of 12 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-6) + 3 + 2. Which is the smallest value? (a) 2\/7 (b) -2\/9 (c) -4\/5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-3)\/(-3)) - 384\/(-188). What is the second biggest value in 1, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -116*r**2 + 892 - 950*r**2 - 894 as v + z*r + l*r**2 and give l.\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/((1\/(-2))\/(-1)). Suppose 2*y - 3*c = -5*c + d, -3*y - 4*c = -28. Suppose -5*x - y*v + 16 = 0, 3*x - 3*v = 6*x - 9. Solve -2*h + x = -4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -501 - 16.2\nAnswer: -517.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-270)\/(-25) + -10)*15\/(-2). Let o be 3*(5\/1 + -1)\/h. Sort 16, -3, 4, o in descending order.\nAnswer: 16, 4, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*f**3 + 37*f**3 + 5*f**2 + 0*f**5 - f**5 wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.271 - 37.471. What is i rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -38*v - 1. Let p be o(2). Suppose 750 - 155 = 5*q. Let c = p + q. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 367 - 416.6. Let q = g + 50. Let r = 7.2 - 7. What is the fourth biggest value in -0.5, r, q, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210652193 less than 210652192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 250, 956, 2364, 4708, 8222, 13140?\nAnswer: 19696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8018150 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 22. Let x = 3 + -4. Let d be (-25)\/(-1) - (-1 - x). Solve 0 = -5*p - 6*r + r - d, s*r = p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.764 - 0.72. Which is the second smallest value? (a) 0.3 (b) -2\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25 and 26.2?\nAnswer: 51.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535022*-7.8.\nAnswer: 4173171.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i**2 + 49*i**2 - 96*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m)\/m**(-9)*m**(-1\/6)*(m*m*m*m**(1\/6)*m)\/m assuming m is positive.\nAnswer: m**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from {e: 2, j: 1, i: 1, p: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i - 122. Give g(5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 85279 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -1075*a. Let o be c(16). What is o rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37 - -18?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-3 + -1 - 3*2). Is -12 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-35)*(-670)\/268.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/5 - 680322*t\/5 = 0.\nAnswer: 0, 340161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000274955272 rounded to 7 dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 2)*(2*z - 12 - 2 + 8) in the form q + h*z and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0, -4, -3, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2 - (-53)\/3)\/(118\/(-1062)). Suppose d - 355 = 6*d. Let f = d - y. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10 and -21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, 3\/8, -0.3, 3.11?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > -0.197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806 is divided by 90?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.25345 times -0.015\nAnswer: -0.00380175","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 12}. What is prob of sequence cf?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 + 3 + r**3 - 2*r**4 - 4 - r**4 to the form y*r + q + z*r**2 + v*r**3 + a*r**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15031*l - 680 + 949*l**2 + 15031*l wrt l?\nAnswer: 1898*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1395 + 1355. Which is the second biggest value? (a) h (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44095*y**6 + 6*y**2 + 760 wrt y?\nAnswer: -5291400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1535 - -1537. Sort -3, 5, v.\nAnswer: -3, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 47*h**2 + 443*h + 170. Determine g(-55).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*445.5\nAnswer: 222.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 17 - (-7 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/135600 and 23\/1000.\nAnswer: 678000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 less than or equal to -34198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/10529 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 1469 = 1792. Solve k = -f - 4*k + s, 2*f = -5*k + 23 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-13932)\/14706)\/(3 - (-516)\/(-152)). Let -4\/5*p**3 + 0 + 2*p**2 + c*p - 2\/5*p**4 = 0. Calculate p.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 598448 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + a**2 + a - 10. Let h be 5*(-1)\/4*-4. Suppose 0*i = -5*i - h*l + 5, -4*l + 4 = 3*i. Let z be r(i). Is z at most -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4509311*d**2 - 34*d + 36867.\nAnswer: -9018622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2275080367 is divided by 152.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3.7. Let t = 0.7 - s. Which is greater: 0.2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 31*z**2 + 70*z + 24. Let t be p(-33). Does 28 divide (903\/(-42))\/(2\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -95, -211, -373, -581, -835, -1135?\nAnswer: -1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 30. Let f be a(-10). Let u be (-2 + 836\/f)*(1 - 6). Let t = u + -141. What are the prime factors of t?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 580 (base 9) to base 8\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 21*x = 5*j - 10, -4*x + 3*j + 8 = 0. Calculate the least common multiple of 304 and x.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 770150?\nAnswer: 770146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(51)\/sqrt(3) + 1)*2 - (sqrt(102)\/(sqrt(18)\/sqrt(3)) + (sqrt(17) - sqrt(17)*2*3))**2.\nAnswer: -272 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5019513163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Let y(k) = 0 - 3*k + 4 - h - 1. Let w(b) = -16*b - 6. What is -2*w(i) + 11*y(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14183437 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 5 - 5)*(-2 - 7 + 1).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - -0.016150475.\nAnswer: -29.983849525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/(-20))\/((-10)\/16 + -2). Factor 0*j**2 - 2\/7*j + v*j**3 + 0.\nAnswer: 2*j*(j - 1)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17233 + 413665\/24. Calculate the common denominator of g and ((-1)\/3 - 3\/(360\/515)) + 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 491*b*s + 5*b + 45*s - 40 with respect to b.\nAnswer: 491*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 9 - -2) + 14 + (-25 - -2) + 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*p**2 - 8*p**3 + 31 + 17*p**2 - 4*p**2 in the form g*p + c*p**3 + d + s*p**2 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 19 - (1 + 10 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3b4e (base 15) to base 6\nAnswer: 134402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(4\/14) - (-2 + -2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 11*c - 45. Let o = -149 + 154. What is the units digit of q(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/12)\/(5\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521266 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + 0*a**3 - 10*a - a**2 + 1 + a + a**3 as g*a + x + n*a**2 + f*a**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27955850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuuuluuuuu.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -31*z**2. Let n(o) = -5737*o**2 + 11467*o**2 - 5735*o**2. Give r(n(w)).\nAnswer: -775*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -45, -2 in ascending order.\nAnswer: -45, -10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 10, -21, -0.5, -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-19)\/1368 + (-1)\/(-12).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 214 + -74. List the prime factors of t.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 2*f + 5, 4*i + 120 - 133 = 57*f - 54*f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**3*p**3 - 2484159*d**3*p**2 - 1315*d**3*p + 2*d**3 - 2*d**2*p + d**2 - 446*d*p wrt p.\nAnswer: -18*d**3*p - 4968318*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 825 and 112563?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**4\/3 - 20*y**3\/3 - 22*y**2 - 213*y. Factor q(n).\nAnswer: 4*(n - 11)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c - 19*c - 104 = 0. What is the remainder when 11 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7328307.\nAnswer: 3, 7, 31, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 6 = -z, 4*z + 71 = l. What is the remainder when 66 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*z**5 - 1267*z**4 - 7*z**3 + 2*z**2 + 1862*z?\nAnswer: 240*z**2 - 30408*z - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1296)\/(-621) + 2\/(-1).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/8 and -17\/567?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 83058653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5015 and 279412?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, -3, -5?\n\"Answer: -2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**7\/168 + 7*c**6\/120 - c**5\/8 - 3*c**4\/8 + 9*c**3\/8 + 27*c**2\/8 - 51*c. Factor h(u).\nAnswer: -(u - 3)**3*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.06965 plus 2082405?\nAnswer: 2082403.93035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**3\/3 + 3767. Let l(c) = 226*c + 1. What is l(u(h))?\nAnswer: 226*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 12012?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-17 + -2)) + -6 + -86 + 16.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5\/f*f**(-3\/2))\/(f**(-4\/3)\/f**6)*(f**1\/f)\/f**(-4)*((f*f**(3\/2))\/f)\/(((f*f\/(f*f**1*f))\/f)\/f) assuming f is positive.\nAnswer: f**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-17 + 588\/945*27)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8543 - 0.03777\nAnswer: -8543.03777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/25 (b) -5 (c) 2\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 94*r**2 + 2*r - 9. Let l(s) = -93*s**2 - 3*s + 12. Calculate 4*a(d) + 3*l(d).\nAnswer: 97*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-27) + (-512)\/(-96)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 + 4*o + 2. Let s be i(2). Solve s = w - 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 83 = x, 3*d + x - 53 - 32 = 0. Calculate the highest common factor of d and 280.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*p + 87, p = 3*p + 6. What is the highest common divisor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d - 2*o = 24, 0 = o - 3. Suppose -1917 = d*n - 9*n. Let q = -377 + n. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-11) - (-1)\/((-40)\/204).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 - (103\/(-6) - (-22711)\/10482)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/7*q**4 + 0 + 0*q**2 - 116\/7*q**3 + 0*q = 0 for q.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**3 - 2*o**2 + 3*o - 17. Let y be f(3). Calculate the common denominator of 131\/60 and y\/(-21) + ((-16)\/(-4) - 1).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -414412420 (base 5) in base 16?\nAnswer: -1a3182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1691*l**2 + 494*l**2 - 43*l**2 to t + j*l + u*l**2 and give u.\nAnswer: 2142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/6)\/(61\/61)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 26. Let u(l) = 6*l**3 + 3*l - 5*l - 7*l**h + 1 - l**2 - 3. Let k be u(-2). Solve -2*w = -k - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2453, 4925, 7397, 9869, 12341?\nAnswer: 14813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14842 + -14924. Which is smaller: a or 0.15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2. Let g(w) = 4*w**2. Suppose 4*q + 17 = -3*b - 3, 0 = -2*q - 5*b - 10. Let u(x) = q*m(x) + 4*g(x). Let f(l) = 3*l. Determine f(u(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n = -15. Let z = 142 - 82. Suppose n*h - z = -5. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362*y + 13470776 + 49929997 = 1211*y. What are the prime factors of y?\nAnswer: 53, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1794ccc (base 13) to base 8\nAnswer: -35263105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1242416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnu when three letters picked without replacement from mvnnmvnlubnnmvmmm?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1187 is divided by 546.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - 3 + 3 + (-g - 2*g + 5*g)*(-4*g - g + 3*g) + 2*g**2 - 3*g**2 - g**2 + (-1 - 3 + 5)*(2 - 2 + g**2) + 0*g**2 - 6*g**2 + 2*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 2*c**2 + 6*c - 9. Let r(k) = k - 1. Give -6*r(d) + t(d).\nAnswer: d**3 + 2*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3519103311 to the nearest 100000.\nAnswer: -3519100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(3 - 24\/6). Solve 2*l = -5*m - a*m + 25, 3*m = 2*l - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sppwsblhh. Give prob of picking 2 h and 1 l.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 2*n + 1. Let w be d(-2). Which is greater: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -5*q**7\/7 + 2*q**3 - 8. What is the third derivative of j(h) wrt h?\nAnswer: -600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -3445448.\nAnswer: -3445453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 - 57 = -6*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, l: 1, q: 2}. Give prob of picking 1 r and 1 q.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1980, 2439, 3964, 7089, 12348, 20275, 31404, 46269?\nAnswer: 65404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 784\/(-294)*18\/(-12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 2439.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - 37. Solve s - x = 4*s - 4, 4*s - c*x = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 9 + 27 = 0. Let c be 3 - 132\/16 - b\/12. Let j = 0.8 + -0.8. Sort c, 1.3, j in decreasing order.\nAnswer: 1.3, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 14\/2)*(-108)\/(-3780).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3984, -3923, -3836, -3723?\n\"Answer: 13*c**2 + 22*c - 4019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 12*t + 105. Let n(a) = a + 14. Calculate -3*c(d) + 33*n(d).\nAnswer: -3*d + 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -457616 at least -2288079\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4*a + 424, 59*r - 60*r = -2*a - 91. Suppose 2*y = n - 110, -9 - 3 = 3*y. Is n > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g = -8. Let m be (-24)\/9 - g\/1. Is m at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*x = 3*x - 10, 5 = 5*s + 5*x. Let z(u) = -3*u**3 - 12*u**2 + 12*u - 3. Let f(p) = p**4 + p**2 + p - 1. Let v(m) = s*z(m) - 3*f(m). Factor v(a).\nAnswer: -3*(a - 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 1125*u + 306927. Calculate n(465).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/6618 and 76\/165.\nAnswer: 363990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - u - 3 = 0, 5*k = -0*u - u + 9. Let i(b) be the first derivative of -b**3\/3 + b**2 - 3*b + 23. Determine i(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3385 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 257807731 to the power of 1\/2, to the nearest integer?\nAnswer: 16056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 9*w + 5. What is the tens digit of m(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32163*i + 8 - 2 - 6 - 32161*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 3*p**2 - 6 - 2*p**2 - 2*p**3 - 2*p**4 + 13 to the form y*p**4 + s*p**3 + f*p + k + w*p**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 2*w - 2. Let j be i(-1). Solve -p = -4*p - j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 254\/(-77) - (-20)\/35. Is y <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*f - r + 4, r = 4*f - 4. Suppose f*n = -4*n. Is n >= 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 49 + 19. Let g = 22 + t. Solve -5*j + g = -j - 5*m, 2*j - 4 = 2*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 11*p - 16*p, 0 = -5*m - 3*p + 62. What is the greatest common divisor of 190 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37522, 74957, 112392, 149827, 187262?\nAnswer: 224697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 60 - 37)*(-12*w**4 + 11*w**4 + 2*w**4 - 3*w**2).\nAnswer: -118*w**4 + 354*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -166*v**2 - 18*v. Let f(o) = 167*o**2 + 17*o. Let c(h) = -4*f(h) - 3*q(h). Let g(r) = 34*r**2 + 3*r. Give -3*c(a) - 14*g(a).\nAnswer: 34*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 8*y + 16. Give a(7).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - 0.07. Let r = m + -0.98. Which is bigger: -2\/3 or r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 + -110?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 36258?\nAnswer: -36256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 84*b + 583. What is q(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 231*c - 192. Let u be j(26). Is 20 a factor of (-21)\/((-189)\/u) + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, 15, -1, -2\/7, 1372, 3, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -52c070 - 9?\nAnswer: -52c079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9328*d. Let r be g(-5). Let b be (-460586)\/r - (-4)\/16. Let w = -1\/2915 + b. Find the common denominator of w and -1\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74 and 18?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**6\/6 + 11*n**5\/20 + 9*n**4\/16 + n**3\/12 - n**2\/8 - 7. Factor l(g).\nAnswer: g*(g + 1)**3*(4*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 46, 93, 184, 325, 522, 781, 1108?\n\"Answer: r**3 + 16*r**2 - 8*r + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.34 - -0.34. Sort 0.06, w, -4 in decreasing order.\nAnswer: 0.06, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 2047658 + 2047658.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 753270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k - 38*k - 42*k**3 + 63*k + 105*k**3 + 52*k**3.\nAnswer: 115*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 115278\/19 smaller than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-240)\/117)\/((-1185)\/45). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25321 + 25988. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2085 divided by 5\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:34 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**2 + 79040*y + 13864764 = 0.\nAnswer: -19583, -177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4450811657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 15 + 22*q**2 + 4*q + q**2 + 3*q**2 + 27*q + q**3. Is j(-23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-2\/5)*h))**(9\/10)\/(h**(2\/5)\/(h**(-1\/17)\/h)) assuming h is positive.\nAnswer: h**(-467\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -8. Let j = -5 - i. Let f = j + -12. Solve 2*d + 0*d + f = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 6:59 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d**3 - 6*d**2 + 4*d + 1. Let u(g) = -6*g**3 + 5*g**2 - 4*g - 1. What is 5*b(k) + 6*u(k)?\nAnswer: -k**3 - 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6)*(-3)\/(-13). Let w(m) = -m**3 + 2*m**2 + 6*m - 6. Let n be w(4). Let a be 4\/(-18) - n\/(-18). Is k greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/5 - 19664*l**2\/5 + 58922*l - 196340 = 0. What is l?\nAnswer: 5, 10, 9817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 36.27. Let l = u + -0.47. Let f = -11 - -12.6. Which is the nearest to f? (a) 2 (b) -0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8986*m - 718905. Give w(-80).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -226706*s**3 + 12*s**2 - 5*s + 10. Let f be n(2). What is f rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvvrvrrvvv. Give prob of picking 3 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zje when three letters picked without replacement from jzzzzzzxzzjxzzjxzej.\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3365 is divided by 858?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.87 + -0.13. Let c = 20 + f. Let d = -10.8 + c. What is the third smallest value in -1\/2, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*c = x + 37, -4*x + 139 = 3*c. Calculate the greatest common factor of 246 and c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209405 by -41881.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4\/(-2)*(-77)\/22?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-3))\/((-3)\/(-9)). Let y be (3 + -2 - -33)\/2. What is the tens digit of y + a + -3 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssss. Give prob of sequence ss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00091714 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -12 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r + 2197 = -205*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4694467701?\nAnswer: 3, 7, 11, 20322371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (276\/20)\/(5\/25). Let s = r - 68. Solve w - s = 4*i + i, 0 = i + w + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 68 = m - 62, -3*i - 2*m - 17 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - 8*m**2 - 3*m + 12. Let k be j(-6). Suppose -k - 177 = -9*o. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910 is divided by 159.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-1\/6)*y**(-7)*y*(y\/(y*y**(-2\/3)*y)*y)\/y**(-5) assuming y is positive.\nAnswer: sqrt(y)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 112840699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p + 47 = -237 - 61 - 18 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + u**3 - 3*u**2 + 2 - 5 in the form x*u**3 + q + s*u**2 + j*u and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*p - 34*p + 150. What is the derivative of 7 + 7*f - 2*f**p + 58*f - 99 wrt f?\nAnswer: -6*f**2 + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33876, 67725, 101572, 135417, 169260, 203101?\nAnswer: 236940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 2:47 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**4 - 591047*j**3 - 408806*j + 8 wrt j.\nAnswer: 24*j**2 - 3546282*j","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (10692\/711 - 50 - -31)?\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.1. Let c = -0.1 - 0.9. Let g = 479 - 479. What is the nearest to p in c, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5)**34 assuming u is positive.\nAnswer: u**170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 40 = 10*f + 8. Solve f = 17*j + 108 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1013020100?\nAnswer: 1013020103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 a when four letters picked without replacement from {a: 1, s: 1, g: 1, z: 1, i: 1, r: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 288 = -0*a. Let x = 69 + a. Suppose -2*p - 15 = -5*q, 2*p + 27 + 0 = q. Sort -1, p, x.\nAnswer: p, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101101011110110 + -1000101111?\nAnswer: -1101101110100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -13*a. Let r(l) = 31*l**2 - 9*l. Let n(w) = 15*w**2 - 4*w. Let p(u) = 9*n(u) - 4*r(u). Give p(z(y)).\nAnswer: 1859*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-8)\/52))\/(-1) + 4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02112 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11\/4)*g**(6\/11))**(-28) assuming g is positive.\nAnswer: g**(679\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/y**1*y*y*y)\/y)\/y*y)**(1\/36)*y**(-2\/3)\/y*y*y**2*((y*y**4)\/y**(1\/3))**(12\/19) assuming y is positive.\nAnswer: y**(995\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1\/15, -8, 0.5?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 13.9. Which is smaller: 1.9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138*b*k**3 - 2*b*k - b - k**4 - 82*k**3 - 34663 wrt k?\nAnswer: 828*b*k - 12*k**2 - 492*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + sqrt(343)) - ((-1*sqrt(343) - sqrt(343)) + -5))**2 + ((-3*sqrt(343) + -5)**2 - ((-3 + sqrt(343) + -3)**2 - sqrt(343))).\nAnswer: 399*sqrt(7) + 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*c + 12, -5*c + 3*k = k - 12. Suppose 4*f - 3*r - 7802 = 0, -4*f + 7798 = 3*r - c*r. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1642*b + 14*b**5 + 0*b**5 + 286*b - 6*b**5 - 147*b**2 + 313*b wrt b.\nAnswer: 160*b**3 - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t = 90*t - 64*t + 138*t + 7350 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -13. Suppose 5*y - 25 = 4*v - 0*v, -16 = 4*y + 4*v. Let r be (0\/(6 - 3))\/y. Solve 6 = -h*b - r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50871 is divided by 877.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 4*z**2 - 4*z**2 + (-z**3 + 0*z**3 - 2*z**3)*(-4 + 1 + 0) - 3*z**3 - 4 + 5 - 2.\nAnswer: 5*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3038393 is divided by 5722?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h**3 - 8*h**2 + 19*h - 56. Does 7 divide v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1004 + -11054?\nAnswer: -10050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 24094*v + 168682. What is u(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1391*7.\nAnswer: 0.9737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1065, -1228, -1503, -1884, -2365, -2940, -3603?\n\"Answer: u**3 - 62*u**2 + 16*u - 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 1)*(-6 - (-1 - 1)). Calculate the highest common divisor of 3 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*m + 1)*(-7*m**2 - 11*m**2 + 4*m**2).\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -93*j**2 - 5*j**3 + 0 + 1 - 1 + 178*j**2 = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4122 divided by 24752\nAnswer: 2061\/12376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 - 32*r**2 - 19*r**2.\nAnswer: -56*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3104*c + 3104*c - 20*c**2)*(-17*c + 14*c + 9*c) in the form b*c**2 + z*c**3 + j + y*c and give z.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 38 = 4*o. Suppose 12 = -z - 0*i + 4*i, -3*i + 9 = o*z. Solve z = 4*l + l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -493\/8 - -62. Which is the second smallest value? (a) -4 (b) -0.04 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -2 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3497.3 + 5\nAnswer: -3492.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/40*(-2)\/(-38))\/(2\/(-1530)*-51).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 5:50 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 218, 5, -4, 3 in increasing order.\nAnswer: -4, 3, 5, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 5. Let q be w(-7). Let h(d) = -d**3 - 2*d**2 - d. Let n be h(q). What is the third derivative of 3*z**6 - 2*z**n + 0*z**6 - 2*z**6 wrt z?\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/323 - 17131\/1938. Find the common denominator of w and -2 + 202\/4 - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = -22. Let g = v + 18. Let q = 9 - g. Is 1\/2 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 9, 0.558, -984?\nAnswer: 0.558","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 45 - 45\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617.8213 hours to minutes.\nAnswer: 37069.278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10*w. Let r(j) = -15250700*j. Give r(l(v)).\nAnswer: 152507000*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9258293*i**2 + 12982459 wrt i?\nAnswer: -18516586*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*t + 4*b, 6 = 5*t + 3*b - 24. Solve -3*i = -f - i - 10, -t*f - 5*i = -25 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(-1)))**(2\/5))**(5\/9)\/((b**(1\/3)\/(b**(1\/5)\/b))\/(b\/(b\/(b*b\/(b*b*b\/((b*b*b**(-2))\/b))))*b**(-5))) assuming b is positive.\nAnswer: b**(-122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*(sqrt(5) - sqrt(20)))**2 + (1 + sqrt(5))*-2 - (-2 + (-4*(sqrt(80) + (0 + sqrt(80))*-2 + sqrt(80)))**2).\nAnswer: -2*sqrt(5) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + 2.04. Let x be (-11)\/10 + (-4)\/10. Let o = -320\/99 - -38\/11. Which is the smallest value? (a) t (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16421016 - 5?\nAnswer: 16421011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.8 (c) 1\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*m**2*t**2 + 5*a*m**2 - 622*a*t**2 + 7252*a*t - 82*m*t**2 wrt t?\nAnswer: -2*a*m**2 - 1244*a - 164*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 - 8*s. Let h(z) = 28*z**2 + 56*z. Let t(g) = 3*h(g) + 20*x(g). Let a be t(6). Calculate the greatest common factor of 24 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24*(-8)\/12)\/1. Calculate the remainder when 20 is divided by 11 + 0 + w\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8524?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*x**2 + 0 + 1\/5*x.\nAnswer: x*(3*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 r when four letters picked without replacement from mrrmrmrrrrmrmrmmmmm?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a decade in years?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-6)*345\/230?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1910655 (base 10) to base 3.\nAnswer: -10121001221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*v - 2*x, 2826 = -3*v + 6*v + 283*x + 186*x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o = -14*o - 7613. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5\/4 + 4088*z**4 + 81739*z**3\/4 + 16347*z**2 = 0.\nAnswer: -16347, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -246486032 divided by 282992?\nAnswer: -871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (64\/10)\/(12\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1242, -1240, -1238?\nAnswer: -1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3*(5 - 52\/12)). Factor 1\/2*w**2 + 3\/2*w + r.\nAnswer: (w + 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -168. Let b = -439\/4 - o. Which is greater: 40 or b?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211 divided by 35?\nAnswer: 2211\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -130310*h*x**2 + 251462*x**2 wrt h.\nAnswer: -130310*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 29. Let i(s) = 76*s. Calculate i(g(u)).\nAnswer: 76*u - 2204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 43*d**3\/3 - 3*d**2\/2 + 9*d - 135. Let b(v) = 2. Let a(x) = 3*b(x) + w(x). What is the second derivative of a(y) wrt y?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84654 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 102697 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, -2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 636 - 629 - j**3 + 4*j**3. Let k(y) = y**3 + 2. What is -21*k(p) + 6*r(p)?\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*84\/(-308))\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/19 + (-84)\/(-798) + 1. Which is the closest to d? (a) -35 (b) -1\/2 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45309\/28 or -1618?\nAnswer: -1618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*o + 309 = 4*o, g - 5*o + 82 = 0. Which is the nearest to -1? (a) g (b) 1 (c) -0.5 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-2 - -3 - 7 - (-15 + 7))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*d - 38 = 5*j, 3*d - 27 = j. Let s(a) = -6*a + 20. What is the units digit of s(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -21229530, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4678 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 + -35152?\nAnswer: -35152.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2093063200 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -99?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 - 5 = 0. Suppose -98 - 49 = -v*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(153).\nAnswer: 2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6812*p - 13325*p + 9 - 9.\nAnswer: -20137*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16460 and 18181.\nAnswer: -299259260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 44 - 92 + 3*d.\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lak when three letters picked without replacement from {l: 6, e: 1, y: 1, a: 3, k: 8}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*g = 6 - 22, -5 = g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -197877655 + 197877567.999797. Let f = c - -87. Round f to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1232730 divided by -45.\nAnswer: -27394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*i - 37 - 23*i + 16*i - 114*i + 36.\nAnswer: -187*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20519, -20521, -20523, -20525, -20527?\nAnswer: -20529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g**2 + 3*g**2 - 2*g**2)*(g**2 - 2*g**3 - g**2) + (0*g + 0*g + g)*(0*g**4 + 2*g**4 - 3*g**4).\nAnswer: 19*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lljllllljlll?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 4:55 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -1\/120*i**5 + 0 + 1\/3*i**3 + 1\/720*i**6 + 0*i + 0*i**4 - 2*i**2. Let w(c) be the first derivative of m(c). Factor w(r).\nAnswer: r*(r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*k. Let b be -2*23*k\/(-6). Let m = b + -9. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + h**4 + 0*h**4 - 2*h**4 + 0*h**4 + (-6*h**2 + 2*h**2 + h**2)*(-173*h**2 + 422 - 422) to the form f*h + r + o*h**3 + c*h**2 + u*h**4 and give u.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2146 minus -32045594?\nAnswer: 32047740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.1 - -23. Let c be (-21)\/(-9) - (0 + 3). Let b be 4\/(-63) - (-12)\/(-54). What is the third biggest value in o, b, c, -2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*m + 3, -q - 4 = -2*q. Let v(i) = -3532*i**2 - 7*i + 9. Let a be v(m). What is a rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-65)\/(-52)*(-96)\/(-90). Let -64\/3*f**2 - 32\/3*f - s = 0. What is f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(192) - (-5 + -1*sqrt(192)) - (sqrt(192) - (1 + sqrt(192)*-2))) + ((sqrt(192) - (sqrt(192) + -1))*-5 - sqrt(192))*1))**2.\nAnswer: -128*sqrt(3) + 3076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvf when four letters picked without replacement from {v: 9, f: 10}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195 - -311. Let c = -62 + l. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3371792777 to the nearest integer?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1547401*b**3*n**3 - 2235*b**2*n**3 - 6*b**2*n - 4*b**2 - b*n - 2*n**3 wrt b.\nAnswer: -9284406*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**4*w)**31)**(-15)*(w**(-1)*w\/w**4)\/((w*w*w**(5\/6))\/w*w\/w**(-2\/33)*w) assuming w is positive.\nAnswer: w**(-215351\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thot when four letters picked without replacement from {o: 1, h: 2, t: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Round -4.2067196 to 3 dps.\nAnswer: -4.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4+-1.7\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -23 - (-2)\/(1 + 0). List the prime factors of 65\/7 + 6\/f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -124, -3, -3\/4, -17, 990?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 35*x - 45 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 50\/7 of a week?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -1 - 1. Let x(f) = f. Let t(s) = 3*s. Let m(w) = r*t(w) - 4*x(w). Let d(i) = -6*i. Determine m(d(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.967 - 0.567. What is the third biggest value in q, -2\/7, -0.1, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -1\/2 (b) 6149 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3310323 (base 4) to base 3.\nAnswer: 210111120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 30*d - 1. Let t be h(3). Let m = 60 + t. Calculate the remainder when m is divided by (-108 + 106)\/((-2)\/38).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.219*-0.3\nAnswer: -4.2657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.7 + -11.7. Is 8 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3341105 (base 7) in base 2?\nAnswer: -1100100111010111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -854 times 4655?\nAnswer: -3975370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1 - 3 - 5\/(-3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5042714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 - -100. Let c = 34.1 - w. Round c to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {c: 2, y: 1, f: 4, k: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 0*u - u - 3*u + 2*u - u - 4*u + 3*u + 0*u - 4*u + 2*u + u + (-1 + 3 + 0)*(0*u + 3*u - 4*u) - 3 - u + 3 as d + p*u and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*b + 364 = 72*i + 47*b, 0 = -2*i - 4*b + 9 - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 655. Let t(y) = 491. Let u(b) = 3*j(b) - 4*t(b). Let n(m) = -2*m**3 + m - 6. What is -n(s) - 6*u(s)?\nAnswer: 2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-63)\/(-15))\/(-7))\/(2\/10). Let n(h) = h**2 + 1. Let y be n(-2). Suppose -3 = x + 2*c, y*x - 4*c - 22 = 19. Sort z, 3, x in increasing order.\nAnswer: z, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-12))\/((-1)\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*sqrt(12)\/sqrt(4) - sqrt(12)*-5)**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11cd9a (base 14) to base 2\nAnswer: 10010101011000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3031 is divided by 1010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-9)\/s*(s*s*s*s**(1\/6))\/s)**(2\/67) assuming s is positive.\nAnswer: s**(-35\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39646 + 39651. Let x = -6.8 - 0.2. What is the nearest to 1\/3 in -2\/9, w, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 4*q - q. Let i = 925 - 914. What is the remainder when 56 + (-9 - (-11)\/i) is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 335 - 625. Let m = -152 - w. Let o be m\/8 - 3\/12. Solve -o - 8 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3798427583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 3:13 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2 + 5. Let l be o(0). Let h(m) = m**2 - 2*m - 13. Let q be h(l). Suppose -3*c + q*r = -10, c - r + 0 - 4 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/(-6) + 3 - -4. Determine w, given that -1\/2 - w - d*w**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -12 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 13 + 8504*u**2 - 8533*u**2.\nAnswer: -29*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -4\/11, 4, 3.9?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l = 4*r - 22, -42*r = -10*l - 43*r - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2503*l**4 - 2*l**3 - l - 5469 wrt l?\nAnswer: 30036*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 11285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t. Let w(k) be the second derivative of -2*k**3\/3 + 5*k**2\/2 - 3678*k. Determine w(a(l)).\nAnswer: -16*l + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 22 = -3*h + 3*f, -h - 3*f + 2 = 0. Let a = 10 + -5. Suppose -h*j - a*s + 1040 = 0, j - 3*j + 434 = -4*s. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {b: 2, z: 2, j: 1, v: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/22 - 85\/154. Let o = 0.02 + 0.08. Let k = -157 + 633\/4. Which is the closest to -1\/2? (a) k (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/6 + 7*m**3\/6 - m**2.\nAnswer: -m**2*(m - 6)*(m - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264, -1062, -2390, -4248?\nAnswer: -6636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12036 - 1278 - 2*y**2 - 10758.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 + 64*u + 10. What is the smallest common multiple of -6*(0 - (4 - 2)) and q(-16)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**6\/120 - 7*z**5\/60 - z**4\/6 + 4*z**3\/3 + 3*z**2. Give r(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/84)\/(((-2)\/(-3))\/2).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 12:34 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -162542111*x**3 + 355976715*x?\nAnswer: -975252666*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**8\/42 - k**5\/10 + 2*k**2. What is the third derivative of u(j) wrt j?\nAnswer: -480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 16 = -2*d, d - 3*y - 7 = -2*y. Suppose -27 = -3*f + p + d*p, 2*p + 26 = 4*f. Suppose 3*c - f = c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1661686071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369 and 513.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -49, 4, 3\/7, 125, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -10*o - 86, -2*o - 45 = -3*s - 8 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, l: 6}. What is prob of sequence lrlr?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 + 5*t + 2. Let u be q(5). Solve u*k + 2*k + 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/534430 and 11\/4?\nAnswer: 1068860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -71\/5 (b) -0.3 (c) 2\/2033 (d) -2\/5 (e) -5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.4 (c) -1\/6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185218*t**4 - 39*t**3 - 134763473*t**2 wrt t.\nAnswer: -4445232*t - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 2\/3 (b) -4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 0*q + 0*q)*(-202*q - 226*q + 237*q)*(6*q - 3*q - 2*q)*(2*q**2 + 1 - 1).\nAnswer: 1528*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*r - 60. Suppose 674 = 4*g - 1034. Suppose -5*d - 2*d + g = 0. What is the remainder when d is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*t = -6*t - 6, c = t. Suppose 0*q - 1 = q. Sort c, -3, q in decreasing order.\nAnswer: q, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 615\/656428?\nAnswer: 615\/656428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 - 20*q + 50. Let j be z(-12). Suppose 3*k = -j*n + 4, -k = -5*n - 6*k + 15. Solve -4*l - n*s + 9 - 1 = 0, 10 = 5*l + 4*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jddddzzdzzdjjzz. What is prob of sequence djz?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143725 is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = 14*z - 529. Let t = 411 + -227. What is the highest common factor of z and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.66 - -3.448. Let w = s + 1.41. Let b = 1.028 - w. What is b rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 12:33 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.39 and -284.\nAnswer: -2666.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.7 - 21. Let p = -0.8 - a. What is the smallest value in 5, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -248, -497, -744, -989, -1232, -1473?\n\"Answer: g**2 - 252*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 253199 + -253211. Let k be 21\/(-66) + (-1)\/(-2). What is the biggest value in -5, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 432 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2719452\/119 greater than -22854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -5943, -4 in increasing order.\nAnswer: -5943, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 121836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 10*g + 136. Suppose -3*h + 37 = -2*t, 2*h - 20 = -3*t - 56. Let u be v(t). Sort -1, -0.4, u, 3 in decreasing order.\nAnswer: 3, -0.4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**3 - 25*p**2 + 75*p - 322. Calculate g(5).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5 + 15924*p**4 - 31696716*p**3 - 47768*p**2 + 95058318*p + 63393444 = 0.\nAnswer: -1, 2, 3981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -68b + 3?\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12141168 is divided by 119031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -837, -820, -815, -822, -841, -872?\nAnswer: -915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16500000\/((-1)\/((-4)\/(-6))). What is u rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 249*h. Let o(b) = 3*b + 1324. Determine a(o(m)).\nAnswer: 747*m + 329676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = w, -l - 40 = 41 - 82 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 13 + 24*a**2 + 3*a**2 - 21. Let s(m) = -9*m**2 + 3. Let z(d) = -3*c(d) - 8*s(d). Let p(w) = -2*w. Give p(z(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 0, 640, 2 in descending order.\nAnswer: 640, 5, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, l: 2}. What is prob of sequence mmmm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 15718 and -3272 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*p + 6*p = 186. Solve 0 = 4*y + i + 16 - 5, 2*i = p*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.07 + -0.07. Let v = d + -1.1. Let b = 3679\/3 - 1226. What is the closest to -1 in -1, b, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/64812 and -97\/20?\nAnswer: 324060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 7*c**5 + 16*c**4 - 3*c**3 - 16*c**2 - 4*c = 0.\nAnswer: -2, -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453688140?\nAnswer: 2, 3, 5, 7561469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h*h**(-4\/11)\/h*h*((h*h*h**27*h)\/h)\/h)\/(h**38\/h*h*h**35*h) assuming h is positive.\nAnswer: h**(-466\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 8*s + 2. Let f be x(3). Let v(a) = -a**3 - 3*a**2 + 2*a - 9. Let w be v(f). Sort -6, 2, w, -3.\nAnswer: -6, -3, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j + 26. Calculate i(-12).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168816070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert a2 (base 13) to base 4.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 92. Let v = r + -38. Let n be (-6)\/v + (-24)\/(-10). Solve 5*a = n*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -704, -697, -690?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + (-2 - 3) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -10. Let m = d - -21.5. Sort 10, m, -1\/7.\nAnswer: m, -1\/7, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1788 + 1784. Which is the nearest to -2? (a) 1.4 (b) 1.5 (c) -3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*38\/(-836))\/(135\/(-72))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16324 or -16383?\nAnswer: -16383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*g + 20704 = 110*g. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16420 (base 10) in base 4?\nAnswer: -10000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*x = -2*f + 9, 0 = 2*f + 2*x - 24. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 4*g + 80, s = -2*g + 14 + 9. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/19 - 308\/38 - 4234\/(-511).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-4 + 5 - 6) - 4 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -813\/52 less than or equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 50751152*n**2 + 160979862830592*n - 643920263341056.\nAnswer: 4*(n - 4)*(n + 6343896)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 484 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 214*n**7\/105 - 86*n**3\/3 + n**2 - 210*n. Differentiate s(w) wrt w.\nAnswer: 1712*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + q**2 + q**2 + (q**2 + 1 - 1)*(-5 + 4 + 0) + q**2 - 3*q**2 + 0*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k\/(k\/(k*k\/(k**(1\/2)\/k))))\/k)*k))\/k)**12\/((k*k**0*k)\/k)**(-1\/26) assuming k is positive.\nAnswer: k**(-155\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 55*v**3 - v**2 + 33*v - 32. Give t(1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (22509\/(-366))\/(-41)*((-17)\/(-9) + -1). Determine o so that p*o**2 + 10816\/3 - 416\/3*o = 0.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 27 + 37 = -3*h, b = 2*h + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 140, 309, 600, 1019, 1572, 2265, 3104, 4095?\n\"Answer: u**3 + 55*u**2 - 3*u + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492933?\nAnswer: 3, 7, 23473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 14*j. Solve -5*n = -j*n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w**3 + 1705*w + 74?\nAnswer: 6*w**2 + 1705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*s**2 + 5*s - 6864?\nAnswer: 52*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.4, -3\/5, 0.21, -1, -0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n - 1. Let k(v) = 36*v - 3. Determine -9*j(r) + 2*k(r).\nAnswer: -9*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 3 + 4 - 7 + 8*w.\nAnswer: -4*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -15*i + 1031. What is the remainder when z(7) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 5*d**4\/4 + d**3\/3 - d**2 + d - 4. Let q be a(1). Suppose -u + 2*n + q = -6, 52 = 4*u - 4*n. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhrm when four letters picked without replacement from {r: 3, m: 2, h: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 267*o + 806820.\nAnswer: -3*(o - 565)*(o + 476)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -160.4 - 39441167662?\nAnswer: -39441167822.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by (12\/(-9))\/(2\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 93, -0.2, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*q - 18. Sort q, -17, -4 in increasing order.\nAnswer: -17, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*j - 780, 4*v + 0*v - 600 = 4*j. Suppose -2*k + 3*i = -717 + 135, 0 = 2*k - 5*i - 590. Let a = k - v. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 3\/7, -1.05, -4.6, 1\/7?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182340 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -15) + (1 - (-3 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2921222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 548613710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + l - 16*l + l - l - 2*l + (2 - 5 + 4)*(2*l - 5*l + 2*l))*(18*l + 28*l + 1119 - 1116) as v*l + f + x*l**2 and give v.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 246, 489, 732, 975?\n\"Answer: 243*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -623 - -622.7. Which is the third smallest value? (a) 2 (b) m (c) 14.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bby when three letters picked without replacement from {y: 2, b: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 + 2.2. What is the nearest to -2\/5 in t, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/9 + 80*x**3\/9 + 38*x**2 + 436*x\/9 + 176\/9 = 0. What is x?\nAnswer: -2, -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/3, -0.206, 57, 4\/3?\nAnswer: -0.206","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 18707144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -145*l - 280. Determine u(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 861523717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751882521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14022048 (base 10) in base 3?\nAnswer: -222101101122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 143 and 6562232.7.\nAnswer: 6562375.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46670004 by 4402.\nAnswer: 10602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177936311 to the nearest integer?\nAnswer: 13339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*g = 11*g - 377856. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/23)\/((-372)\/(-1426)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 558103 and 574.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -616025.\nAnswer: 3\/616025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10452 = 4*x, -3*x + 5*g = 1991 - 9823. Suppose -2*p = -5*t + 2035 + x, -5*t + 4640 = -5*p. Calculate the highest common factor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067986 is divided by 57.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(2*sqrt(121) + sqrt(121)) - sqrt(121))*-4 - -2*(-2*sqrt(121) + sqrt(121) + sqrt(121))*1)\/((sqrt(484)\/sqrt(396))\/(-3*sqrt(196))).\nAnswer: -6552*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10823 + 10847. Solve -m = 5*r + 24, 2*m + 147*r + v = 143*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 7 = -8*g - a, -2*a + 14 = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 11*y + 3. Let a = -8 + -4. Let m be n(a). List the prime factors of 6\/((-2)\/m*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54289.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -430 + 68. Suppose -2*d - 6 = -w, 0 = -3*d - 21 + 12. Is f at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 10. Let x(y) = 568*y**3 + 8*y**2 + 4*y - 9. Let z be x(6). Suppose 4*n + n = o - 204997, 0 = -3*n + h*o - z. Round n to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 833 and -0.08.\nAnswer: -66.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 13*f**2 - 14*f + 1. Does 16 divide c(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 16.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + -2 - (1 - -1). Suppose -d*a + 3*i + 4101 = 0, -5*a + 2*i = 4*i - 6807. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -237 + 492. Let c be -2*(10\/(-3))\/((-2)\/(-6)). What are the prime factors of (8\/c)\/(-1*(-3)\/s)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10752858929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 12*z + 5*y, -5*y = 3*z. Suppose z = 9*v - 2490 - 984. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 4*x + 12. Give i(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 748861 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.5077 - -1095.23179\nAnswer: 1093.72409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/3)*y\/(y*y**(-3)*y))\/(y**(-7)*y**(-1\/5)) assuming y is positive.\nAnswer: y**(163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 2*h + 38. What is j(0)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/1)\/((-1)\/23). Suppose -4*d = 4*g + 4, a = 4*d - 5*g - 0. Suppose 5*r - 2*r + 5*v - 296 = 0, -3*r + 302 = d*v. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -176406 + 176408. Suppose 12\/11 + 20\/11*m**l - 46\/11*m = 0. Calculate m.\nAnswer: 3\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1593*k + 2206*k + 52200 = 218749 + 99381 for k.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 12 = 5*o. Suppose -5*l - 74 = -o*l. What is the remainder when l is divided by (38\/4)\/((165\/30)\/11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-28302)\/15)\/(1\/35). Suppose 20*b - y = 9737. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812 is divided by 406.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41458604.\nAnswer: 2, 11, 23, 71, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1604 - -6235?\nAnswer: 4331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - q**2 + q + 47. Let r be o(0). Let f(y) = -259*y + 22845. Let d be f(88). Which is smaller: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -102 and -0.1452767699?\nAnswer: 101.8547232301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27*2\/(-10)*(-2550)\/(-765)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 10071411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*n - 9*n + 7*n + (-1 + 1 + 2)*(-2*n + 9*n + 0*n) + 0 - 2*n + 0 + (5*n - 2*n - n)*(-3 + 4 - 2) + n + 3*n - 2*n as h + r*n and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*3*(-48)\/(-36). Solve 2*u - l = -0*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75 + 8*y + 10*y - 20*y)*(-20*y + 4*y**3 + 67*y + 0*y**3) to the form x + r*y**4 + u*y**3 + v*y + b*y**2 and give b.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = -4*f + 9, 3*f - 16 = r. Let x(m) = 11*m**3 - 3*m**2 + m - 11. What is the units digit of x(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 3 + 3 + (2*w + 0*w + 0*w)*(2*w + w - w) + w**2 - w**2 - 2*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqqypoob. Give prob of sequence py.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -914 or -3659\/4?\nAnswer: -3659\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7640*b**3 - 3819*b**3 - 3796*b**3.\nAnswer: 25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/132 and -119\/368544?\nAnswer: 368544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 341 + 1801. Which is smaller: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 653?\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**4\/24 + m**3\/6 + 5*m**2. Let c(j) = -j + 1. Let q(n) = 7*c(n) - 5*y(n). Let l be q(-6). Solve -3*p = 5 - l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448994383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4330, 4, 10 in ascending order.\nAnswer: 4, 10, 4330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**4\/4 + o**3 + 2*o**2 + 2*o - 1. Let r(w) = w**3 + 2*w**2 + 3*w + 2. Let d = 2 + -6. Determine d*r(s) + 3*p(s).\nAnswer: -s**3 + s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/7)\/((-2)\/(-16)). Suppose 0*k + 5*k + s = -2*l, k = -4. Suppose -2*o + 140 = l*o. Solve -x = -4*x - 15, -5*p = -4*x - o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5393464178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12917, 25065, 37199, 49313, 61401, 73457?\n\"Answer: -i**3 - i**2 + 12158*i + 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 205 (b) -2 (c) 0 (d) 2\/425 (e) -9 (f) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 25*m = 314 - 415 + 913 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 135 - -53203354?\nAnswer: 53203522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b = -4*b - 115 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 9*z = -5, -z - 14 = -3*n. Suppose 0 = -i - b + 10, -5*i - n*b = -i - 42. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 9 = -2*n, 3*k + 20 = 7*k. Let d be 13\/((-2 - n)\/1). Let m be 80\/24*84\/(-35) + 11. Solve c - 2*h + d = 0, -16 = -3*c + m*h - 43 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1121*0.5\nAnswer: 0.05605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 433 - -2?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkpub. What is prob of sequence uk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*p - 3)*(2*p**3 - 2*p**3 - p**4)*(3 - 3 - 2) + (1 + 0 + 1)*(0*p**3 + 0*p**3 + p**5) + (-661*p**2 - 670*p**2 + 206*p**2)*(-2*p**3 + 2*p + 0 + 0).\nAnswer: 2256*p**5 - 2250*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 9. Let f be g(3). Let p(x) be the second derivative of -2*x + 0*x**5 + 1\/150*x**f + 0*x**2 + 0*x**3 + 0*x**4 + 0. Factor p(l).\nAnswer: l**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 7) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 + 113. Let x be 4\/(-2) + 60\/u*6. Let v = x - -97. Solve -3 = 2*o + v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8*w = 3*w - 887, 0 = 2*j + 3*w - 1761. Let z be (14\/j)\/(1\/3). Is 0 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, c: 8}. What is prob of picking 2 c and 2 t?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 - 441 = 9*w. Let g = w - -111. Calculate the greatest common divisor of 49 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 20 = -5*y, -4*z - 39*y = -38*y - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 824 + -818. Solve g + 19 = -4*a + 5*s, -3*a = -3*s + 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1132 - 1758 = -5*d, 5*d = -3*t + 2880. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 894*z - 113. Let a(m) = -872*m + 114. Let t(b) = 3*a(b) + 4*v(b). Differentiate t(n) with respect to n.\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -324033*m**6 - m**4 - 83*m**2 + 144?\nAnswer: -38883960*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592619 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/88 and -181\/13200.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + -1 + (6*(sqrt(7) + (sqrt(49)\/(sqrt(7)*-1))**2) - (5 + (sqrt(343) - (sqrt(343) + -1) - sqrt(343)))**2) + -2).\nAnswer: -90*sqrt(7) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 854986142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 3*w - 12*w + 2*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 3)*(0 - 0). Suppose -c = u - 56 + 20, -4 = 4*c. What is the remainder when u is divided by (o - -2)*39\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3\/8))**(-2\/7)\/(((n\/n**(2\/25))\/n*n)\/(n*((n\/n**(9\/7))\/n)\/n)) assuming n is positive.\nAnswer: n**(-1819\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7100 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 796 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 44?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 37222530 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 525 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m = -4*i - 8*m - 8, 0 = i - 2*m + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 12*q**2. Let w(t) be the first derivative of -t**2 - 2. What is z(w(h))?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 36 = 3*h - 12*v, -3*h - 2*v + 16 = 0. Solve -63 = -h*p - 47 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 7) to base 9.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s. Let v(q) = 6*q - 2. Let f be v(1). Let a(b) = -f*b**2 + b**2 + 2*b**2. Give a(k(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 7) to base 13\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50999269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2493500*a - 5 + 13 - 3706501*a. Let o be n(-4). Suppose -3*w + o = -4*k, k = 2*w - 7*w - 6199980. What is k rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18900 divided by -84\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24795 * 26.93.\nAnswer: -667729.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1911723 is divided by 8496.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - w + 10012 = 2*w, 5*h = 2*w + 49992. Suppose -12*c + h = 3016. List the prime factors of c.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523 - 2*n - 523.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*m + a = 170*m - 15, 7*m + 26*a = 5*m + 34 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 11001 (base 4) to base 6.\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*k**2 - k - 3*k - 65*k**2)*(k**3 + 0*k**3 + 0*k**3).\nAnswer: -2*k**5 - 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {m: 1, e: 1, w: 2, s: 4, p: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 4.8. Which is the biggest value? (a) z (b) 2\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13001 - 2?\nAnswer: -13003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4*a + 8 = -6, 0 = 4*j - 3*a - 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(4536) + (sqrt(4536) - sqrt(4536)*-1) - sqrt(4536)) + sqrt(4536))\/(2*(sqrt(72) + (sqrt(72)*-2 - sqrt(72)))\/sqrt(9)) + 2.\nAnswer: 2 + 63*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4 + 20*o**2 + 15*o - 21*o**2 + 3. Let n be b(16). Let f be 19 + n - 1*4. Let d(r) = -3*r + 8. Determine d(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -522931, -522925, -522903, -522853, -522763, -522621, -522415, -522133?\nAnswer: -521763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70\/23 - -256\/69. Sort 4\/17, 1, 0, x.\nAnswer: 0, 4\/17, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798854 is divided by 639.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 7*l**2 + 7*l + 7. Let w be p(-6). Let t = 6 - w. Find the third derivative of -2*u**5 + 6*u**5 - 2*u**t + u**2 wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 0*x**4 + 0 + 0*x**3 - 2\/105*x**7 + 0*x**5 - 1\/30*x**6 + 17*x**2 + 0*x. Solve p(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707 is divided by 179?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39214, -39236, -39258, -39280, -39302?\nAnswer: -39324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drxkq. Give prob of picking 1 k and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*p**2 - 1 + 6 + 35*p**2 + 6.\nAnswer: -2*p**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/5500 and 13\/16928.\nAnswer: 23276000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278528?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 12:48 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2870*h**2*w - 65137867*h**2 - 3*h*w + 2*h + 1162*w wrt w?\nAnswer: -2870*h**2 - 3*h + 1162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 7. Let t = q - 15. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -152 + 254?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512656 to the power of 1\/2, to the nearest integer?\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 14*t. Let s(w) = -561*w**2 - 85*w - 170. Let v(x) = 20*x**2 + 3*x + 6. Let i(a) = 3*s(a) + 85*v(a). Give l(i(m)).\nAnswer: 238*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 - 2*j**4 - 22 - 23 + 46 + 4*j**4 - 4*j**2 to the form m*j**3 + d*j**2 + i*j + w*j**4 + t and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40153*c**4 + 2*c**2 + 157979*c wrt c.\nAnswer: 481836*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1614*d + 1614*d - 11*d**2.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30670, 59997, 87984, 114631, 139938, 163905?\nAnswer: 186532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12627, 8692, 4757?\n\"Answer: -3935*p + 16562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527 (base 12) in base 11?\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 914 - 1040 = 63*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by (12 - 13)\/(((-2)\/(-14))\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (1 - 2)\/1. Find l, given that 8*l**q - l**5 + 4*l**2 + 21*l**4 + 10*l**5 - l**2 + 7*l**3 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.4212013 minus 0.4?\nAnswer: 21.0212013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180324025*t**3 - 356326506*t?\nAnswer: -1081944150*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z + 4. Suppose 2*j - z = 4. Suppose -j*x + 32 = -7. What is the greatest common divisor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -b + 3*q, 10 = -2*q - 0*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5420*r + 2762*r + 2656*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01776 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 732 + -371. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 11*w - 35 + 23 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -43. Let n be 17 - x - (1 + -1). Suppose z - 5*q = 12, 7*q + 18 = n*z + 2*q. Solve -25 = -z*s - 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 152753 or 152754?\nAnswer: 152754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9 + -2. Let u be (10\/14)\/(4\/70). Let z = u - 13. What is the third smallest value in y, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237190456.\nAnswer: 2, 29648807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from vlvjllglllvlllvlfl?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = 0, -4*d + 5*o = 4 - 1. Suppose -5*h - 7 = -4*h - d*j, -2*j = -4*h + 12. What is the remainder when h is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.0000006 - 12. What is i rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76326078?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1 - 2*j - 1. Let h(t) be the first derivative of t**3\/3 - 12. Calculate h(g(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (5 + -2) - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - m**4 + 6*m**3 + 3648*m**5 - 3649*m**5 - 8*m - 4 + 4.\nAnswer: -m*(m - 2)*(m - 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2. Let q(v) = 397*v + 20. Calculate r(q(j)).\nAnswer: 630436*j**2 + 63520*j + 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87290 is divided by 2277.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - 0.1. Let k be 3\/(-4) + (-69)\/(-36)*3. Put k, -0.4, t in ascending order.\nAnswer: t, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-28)\/(-8)*3*(-14)\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21888201?\nAnswer: 3, 31, 37, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 6\/19, -1, -0.04, -1.235 in ascending order.\nAnswer: -20, -1.235, -1, -0.04, 6\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r**3 + 15*r**2 + 47*r + 13. Calculate the remainder when f(-4) is divided by 166.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73385 is divided by 3862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2010 and 43065?\nAnswer: 5770710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43269 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*o + 2019 = 0, 4*t = -41*o + 44*o + 2694. What is the remainder when t is divided by (7 - -1)\/((-2)\/(-28))?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/(((-24)\/12)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or -71163\/658?\nAnswer: -71163\/658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**3\/3 - 3*p**2 + 16*p - 725. Give s(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*x - 5, 15 = -d - 5*x + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**4\/6 + f**3\/6 - f**2. Suppose 6*h + 121 - 7 = 0. Let u = -17 - h. Determine a(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -870 - 1323?\nAnswer: -2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 249 + 420 - 79 - 92.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/(-1)*159\/(-106)*48?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 75*(-5)\/(75\/(-18)). Let j(m) = -m**2 - 2*m + 3. Let w be j(3). Let y = -2 - w. Calculate the greatest common factor of y and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366721717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 11*s**5\/20 + 22*s**2. Let u = 18 + -14. Let c(z) = -5*z**2 + 4*z**2 - u*z**2 + 6*z**2. Give c(m(d)).\nAnswer: 1089*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-56)*(-14)\/52.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-15)\/(15750\/(-14690)) - (17 - (-18)\/(-6))).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 5 (c) 5\/3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (10 + 13)) + 22 - -20?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121 + -362\/3. Let 0 - 1\/3*u**4 + 2\/3*u**3 + 0*u - t*u**2 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/52531?\nAnswer: 4\/52531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/1)\/(((-26)\/(-312))\/((6\/(-27))\/(-2)))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*x**3 - 3 + 0*x**2 + 0*x**2 - 57*x**4 + 54*x**4 with respect to x.\nAnswer: -12*x**3 - 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -3484\nAnswer: -21\/3484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 2. Let k(h) = -4*h + 5. Let x(r) = -2*k(r) - 5*u(r). Suppose -v = 47 - 50. Give x(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 65 = -0*k - 4*x, -4*x = -5*k + 65. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101b6 (base 13) to base 16\nAnswer: -70cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 0.2 (c) -83 (d) -80 (e) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -717425171 at most -717425171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 893989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 13*v**2 + 9*v. Let h(x) = -2*x - 21. Let z be h(-6). Let u(c) = -3*c**2 - 2*c. Determine z*u(k) - 2*a(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/((1*24)\/(-4)*186\/372)*-1\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 + 190*y - 4592. What is u(-82)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*q + 17*q - 17568. Is 366 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/14)\/((-4)\/18 + 920\/2520)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48*(-74)\/(-110112))\/((-3)\/(-6)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 369049 = -l - 50469, -3*l = 5*r - 796450. Round r to the nearest 1000.\nAnswer: 159000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:39 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*3192933.\nAnswer: 1277173.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n + 10. Let p be ((-25)\/(-10))\/((-1)\/(-2)). Solve t - 4*l - 4 = -3*l, -t - n = p*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 = -5. Suppose 0 = -3*a + 8 - n. Let d(o) be the first derivative of 3*o**2\/2 + o - 1. Determine d(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {x: 1, s: 11, t: 1}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 9:34 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 5. Let d(l) = l. Let f(c) = -6. Let u(q) = -2*d(q) - f(q). Give 4*t(b) - 3*u(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + k = -19, -2*k - 6 = -0. Suppose 2*t = -j + 4*j + 18, -q*j + 27 = 3*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05106 - 12010096.\nAnswer: -12010095.94894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23 or 5.06575?\nAnswer: 5.06575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 35 = -5*v, 2*v + 14 - 32 = -4*p. Let b(i) be the first derivative of -1\/3*i**3 + 5\/2*i**2 - i - 7. Give b(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + j + 53. Suppose -30 + 114 = 2*x. Let d = 42 - x. Is k(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 9. Let b be m(4). Suppose 3*s + 3*g - 1 - 77 = 0, -g + b = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -102*h - 241*h + 22*h + 360*h**2 - 34*h - 5*h**3.\nAnswer: -5*h*(h - 71)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 959 and 147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*0.1303\nAnswer: 0.009121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797665 is divided by 6331.\nAnswer: 6290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3577, 14543, 32853, 58507, 91505?\nAnswer: 131847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73776 and 296217?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 2 (c) -4 (d) 10\/7 (e) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21926850.\nAnswer: 2, 3, 5, 11, 97, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (86 + (-5423)\/58)\/((-3)\/18)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 7*l + 9. Let q(t) = -4 + t**2 + 2 + 3*t - 1 - 1. Give -4*n(j) - 9*q(j).\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -26681\/21080?\nAnswer: -26681\/21080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -210251554 times -0.2\nAnswer: 42050310.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 28 = 6*g + 17, 4*q = -9*g - 96 + 12 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 1305?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5*t + 4*a - 44, 1 = 2*t - 3*a. Suppose t = 2*u - 38. Let y = 6 + u. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -965 (b) -1 (c) 24 (d) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozkozaggd. Give prob of picking 1 o and 1 d.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(2*sqrt(70) + sqrt(70)) - sqrt(70)) + sqrt(70)*2*5)*-4)\/((sqrt(490) - sqrt(490)*2 - sqrt(490))*-1*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 6. Suppose -k = 5*p + k - 63, 0 = -5*p - 5*k + 75. Suppose 5*c - p = 4. Suppose 0 = -c*l + 5 - 20. Give v(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 300\/(-20))*-43.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1621.69 + -1619. What is j rounded to 1 decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -908 divided by -227?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, s: 4}. What is prob of sequence sssj?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (-8 + 7)) + 2 + -9 + 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.6 (b) -3 (c) -2 (d) -26\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2348 - 1289. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*o**5\/5 - 182*o**4\/5 + 458*o**3\/5 - 362*o**2\/5 + 38*o\/5 + 8 = 0. What is o?\nAnswer: -1\/4, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 5*b**2 + 3*b - 4. Let x be 12*(-427)\/(-21) - 7. Let z = x - 232. Calculate j(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.027?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 552\/28 + (-4)\/(-14). Suppose -5*i = y, g + 3*g + 5*i = -24. Which is bigger: g or -5\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 12*i**3 - 6*i**2 - 7*i**2 + 18*i**2 + i**3 in the form s + z*i**3 + a*i**2 + m*i and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5. Let o be 6 - (1 - (p - 1)). Solve o*b + 8 = 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-24093 - -18)*4\/(-3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 2*d + 17, 4*s - 4*d + 39 = 35 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10330 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2.7, -4, -3\/5, 10, 0.5 in descending order.\nAnswer: 10, 0.5, -0.5, -3\/5, -2.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) - sqrt(468)*-2) + -4 + -2*sqrt(468)*2 + (sqrt(468) + -2)*1*6)*-4)**2.\nAnswer: -15360*sqrt(13) + 191296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/12 (b) 4 (c) -0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 17. Let q = z + -14. Which is greater: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 - 1.72. Let s = -1.9 - p. Put s, -2\/3, -2 in decreasing order.\nAnswer: s, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/4*64\/112 - -10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 6. Let j(f) = 4*f + 23. Let y(i) = -3*i - 17. Let s(m) = -8*j(m) - 11*y(m). Suppose -5 = 5*t, r + 1 - 9 = 3*t. What is r*s(n) + 3*o(n)?\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + -6.2. Let f = g + 2. Which is the third smallest value? (a) f (b) 1\/9 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000048 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -739, 23614?\nAnswer: -739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + (-27)\/2)*-2. Let g(b) = -2*b**2 + 90*b - 990. Let r be g(26). Put a, r, 0 in descending order.\nAnswer: a, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -351*u + 632.\nAnswer: -351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 10. Let k = -13 - -5. Let o be g(k). Let a(t) = -2*t**2 + 2. Let p(s) = -s**2 - s + 1. Determine o*a(j) + 2*p(j).\nAnswer: 2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1429, 5769, 13035, 23227, 36345, 52389, 71359?\nAnswer: 93255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -15. Suppose -p*q + 57 = 33. Suppose q*x - 27 = 3*x. Put x, 0, 4 in decreasing order.\nAnswer: x, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03139376 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224471 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24747807, 24747779, 24747751, 24747723, 24747695?\n\"Answer: -28*b + 24747835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = 2*j - 2, -12 = 3*j + 3*h. Which is the closest to -7? (a) -2 (b) j (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o - 4*j - 8, -61 = -3*o + 5*j. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 19. Let l be n(7). Suppose -3*j - 6 = 2*x + 1, 2*j + 8 = -l*x. What is the remainder when 46 is divided by -5 + j + 21 + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65407 = -1221*q - 16567 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 4*h + 5*w, h + 13 = -2*w + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 0 = 7*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214664173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31418 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -1\/5*s**2 - 64\/5 + 16\/5*s = 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2335996*o**5*p**2 + 2*o**2 - 5*o*p + 11*p**2 - 265 wrt o.\nAnswer: -140159760*o**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.36 - -0.56. Let h = -5\/9 - -47\/36. Let n be (-3)\/2*(2 - 4). Which is the closest to d? (a) -5 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/10)\/((-260)\/(-2525)). Let m = g - 9\/26. Let k = -3\/8 + m. Which is the second smallest value? (a) k (b) -0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = 0. Find the second derivative of -5*i**2 - i + v*i + 3*i**2 + 4*i wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-188 + -4)\/(-4) - 1. Let d = 49 - g. Solve z = d*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500296.4 litres in millilitres?\nAnswer: 500296400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from wuuhswhhwwhhpwj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-339)\/(-84) + (-7)\/196. Factor -4\/3*i + 0*i**2 + i**3 + 1\/3*i**h + 0.\nAnswer: i*(i - 1)*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*h + 7*h. Let g = -12 + 13. Let r = h + g. Solve -w = -4*w - r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 43586?\nAnswer: 130758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*a**2*i**3 - 83*a**2*i + 117*a*i**3 - 27*a*i**2 + 463 wrt i.\nAnswer: 732*a**2 + 702*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2627601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 4:49 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*a**2 - 20*a**3 - 5*a**4 - 5*a**4 - 3*a**5 - 4*a**5 + 15*a + 3*a**5 + 9*a**5.\nAnswer: 5*a*(a - 3)*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1828.4 - 1826. Sort 1\/4, m, -1 in decreasing order.\nAnswer: m, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 + 10*g + 11. Let y(o) = 3*o**2 + 9*o + 10. Let p(n) = -4*l(n) + 5*y(n). Suppose 4*j - 2*j = 18. Let s be 26\/6 - (-6)\/j. Give p(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001000101001011 (base 2) in base 14?\nAnswer: -d7ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/4*(-8)\/80)\/((-520)\/(-9880)).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 526 = -2*m, m - 45*k + 46*k = 269. What is the greatest common divisor of 28 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 12) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -1, -134, -3 in decreasing order.\nAnswer: 5, 2, -1, -3, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -19. Let d be (-486)\/10 + v\/(-5). What is d rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 35\/228703?\nAnswer: 35\/228703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2. Let q(s) = -12*s - 70. Let z(n) = n - 8. Let t be z(2). Let y be q(t). Let a(w) = 53*w**y - 29 + 11 - 55*w**2. Give o(a(x)).\nAnswer: -8*x**4 - 144*x**2 - 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 104292 and 457 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/5)\/((-27)\/220995) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 7027487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = q - 4*q. Does 26 divide 32\/272 + 1\/(q\/(-1987))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-12 + -5 + 3 - (-6 - -2)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3519 - 7241 = -35*z - 2462 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563320043 - 10*w + 563320043.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t**2 + 145*t + 93. Let i(x) = -5*x**2 - 66*x - 46. Let w(o) = 9*i(o) + 4*r(o). Give w(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783.31291 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -2\/7, 717?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nwwn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 0*h - 4*h - 84, 5*y - h = 125. Suppose y*k - 8847 + 2217 = 0. What is the least common multiple of 12 and k?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from qdq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -0.1, 210, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 139531, 279057, 418583?\n\"Answer: 139526*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - 0. Let f be (-9)\/s + (-18)\/(-8). Suppose f*h - 84 = -2*z, 0 = h + 5*z - 5 - 10. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(-1*(sqrt(11) + sqrt(44)\/sqrt(4))).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4347, -8667, -12915, -17055, -21051, -24867, -28467?\nAnswer: -31815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from {w: 4, r: 2, j: 2, f: 3}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.57 (b) 334.54 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 - 300*o + 1641. Calculate t(54).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 20 = -7*n. Let d(f) = -4*f + 1. Let u be d(n). Which is smaller: u or -12\/25?\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/159111 and 23\/275892?\nAnswer: 176294988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28092047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 4*d + 31 = 4, 2*b - 2*d = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-5)\/(-3))\/(-1))\/(2\/(-6)). Solve -a - 5*o = a, -3*a - z*o = 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 647618341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -271 - -8941\/33. Let q(t) = 54*t + 324. Let z be q(-6). Is n <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -329*u - 8372. Let p(l) = 22*l + 552. Let m(r) = -6*j(r) - 91*p(r). Let f(w) = 179*w**2. Give f(m(x)).\nAnswer: 140336*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 10 = 2*u, -m - 6 = -15*u + 14*u. Solve -5*h = -u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + l + 61 = -3*l, 2*g + 3*l = -127. Let x = -62 - g. Solve 2*k = x + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 2)\/((-15)\/(-6) - 3). Let u(d) = -d**3 - 5*d**2 + 7*d + 2. Let m be u(-6). Let j be m\/6 + 4\/6. Solve -q - 3*n - 4 = j, 4*q - n - 29 = g*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-8)\/28*-1\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1613 (base 7) to base 9.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 - 151*t**2 + 3*t + 1. Let u(s) = 3*s**3 - 151*s**2 + 4*s + 2. Determine 4*b(o) - 3*u(o).\nAnswer: -o**3 - 151*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1034*f + 185666 = 3543*f for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -226 - 19\/(57\/(-18)). Let f = -91 - h. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4212, 8411, 12600, 16773, 20924?\nAnswer: 25047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 820*j**2 + 227 - 816*j**2 + 169*j + 645 + 275*j = 0. What is j?\nAnswer: -109, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5554140 + 3?\nAnswer: 5554143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5 + 3)*-1)\/1. Suppose -z = -p*r, -4*z = -r + 2*r - 9. Let t(o) = -z*o + 5*o**2 - 7*o**3 + 8*o**3 + o. Determine t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7254 divided by -12?\nAnswer: -1209\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5.3 (b) 1 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)\/n**7)\/((n\/n**(7\/3))\/((n*(n\/(n\/(n*n**(9\/5)\/n)))\/n)\/n)) assuming n is positive.\nAnswer: n**(-161\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 8001*a**3 + 16010*a**3 - a - 8006*a**3 + 8*a**2 to the form y + z*a**3 + v*a**2 + r*a and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y + 357 - 93 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 5. Suppose -64*i - 10 = -66*i. Determine n(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 764 and 27313.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10153261 (base 7) to base 8\nAnswer: -3203025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 298.3 and 11656.\nAnswer: 3476984.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1795066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 2 + 3*h - 2 - 1. Let k be 5\/((-30)\/8)*(11 + -8). Let n(g) = g**3 - 2*g**2 + 4*g - 3. Calculate k*z(u) + n(u).\nAnswer: u**3 - 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + 3c9?\nAnswer: 3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 3 = 5*y. Let m(w) = 2*w**2 - 2*w. Does 8 divide m(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 14. Solve -g - 6 = 3*c, c + 3*g = 5*c + y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5170 - 5148. What is the greatest common divisor of 9262 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y. Let x(f) be the first derivative of -21*f**2\/2 + 1452. Determine 6*h(a) + x(a).\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 206, -8, 0, -6, -40, -2, -3 in decreasing order.\nAnswer: 206, 0, -2, -3, -6, -8, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Let x(y) be the first derivative of y**4\/2 - 4*y**3\/3 + 3*y**2\/2 - 2*y + 1. Let u be x(2). What is the second smallest value in -2\/13, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/((-8)\/10))\/(59\/236). Suppose 0 = 5*g - 3*c - 120, 55 = z*g + 2*c - 65. Calculate the greatest common divisor of g and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**(-22)\/(g\/(g**(1\/4)\/g))**(1\/6) assuming g is positive.\nAnswer: g**(125\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9418.9722 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00095533923 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -252*h + 51*h + 36*h - 43*h - 170*h to the form q*h + z and give q.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -60185 + -1\nAnswer: -60186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20122003 (base 4) to base 7.\nAnswer: 202252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + 9*c**2 + 2*c - 26. Give k(-5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 7\/180*y**6 + 0*y**5 + 0*y + 3 - 11\/3*y**3 - 1\/24*y**4 + 0*y**2. Let k(v) be the third derivative of f(v). Determine k(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6698 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13*v + 9. Let f(j) = 3*j + 2. Let b(t) = -18*f(t) + 4*p(t). Let k(m) = -4 + 2*m + 4. Give b(k(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9617987 to the nearest integer?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5 + j**4 + 13*j**3 - 25*j**2 + 12*j = 0. What is j?\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/3)*p)**(-37)*p**(-2)*p\/(p*p**(6\/11)*p*p)*(p**(-3)\/p*p*p\/(p**(-1\/2)*p*p*p))**19 assuming p is positive.\nAnswer: p**(-10013\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 = -5*a + 19, -23 = -5*a + y. Suppose 3*i + a*i = -19777368. Let g = i + 4692171. Round g to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 9:42 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 361, 0.09 in descending order.\nAnswer: 361, 79, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1860 + 0.601800562\nAnswer: -1859.398199438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63118013.\nAnswer: 7, 691, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(-9)\/(-135)*-21. Suppose 3*m = 2*q + f + 3, -3*q - 15 = 0. Sort 5, m, 1.\nAnswer: m, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*a + a**3 - 31*a - 8*a**3 - 18*a**3 wrt a.\nAnswer: -150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*y**2 + 93*y - 1518.\nAnswer: -6*y + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14775.\nAnswer: 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, s: 1, m: 1, o: 2, g: 2, t: 3}. What is prob of sequence sqm?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -1. Let z(h) = -4*h**2 - 2 + k - 2 + 12*h**3 + h**2. Is z(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**5\/3 - 14*l**4\/3 + 295*l**3\/3 - 1432*l**2\/3 + 720*l = 0?\nAnswer: -27, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501*b**3 - 8*b**2 + 8*b**2.\nAnswer: -501*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiss when four letters picked without replacement from sssjjiesji.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 412900 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2636*h**4 - 10*h - 15 wrt h.\nAnswer: -31632*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.0227\nAnswer: 0.00908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*1 + 8\/8. Let k be (-12)\/(-63)*9\/v. Is -1 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2\/p)**(5\/4)*p**(-1)*p**(-1\/2)*p*p assuming p is positive.\nAnswer: p**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/18 and 71\/(-6) + 8 + -5?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 14 = -2*u - 1, u + 2*x = -15. Is 3\/(u\/(-246)) + (-18)\/(-9) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2133590, 4267179, 6400768, 8534357, 10667946?\nAnswer: 12801535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 - -111. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/3, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w - 2*w - 13*w - w + 3*w - 3*w + (-8 - 14 + 18)*(7*w + 3*w + 3*w).\nAnswer: -73*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 4*w. Let a be l(-3). Let j be (-1)\/(-2) + -1 - 75\/(-150). Are j and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g + 8*g + 8*g.\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 1)*(4*q**3 - q**3 - 5*q**3) + 2*q**3 + 0 + 0 + 3*q**3 - 13*q**3 - q**3 to r*q**3 + i*q + p*q**2 + a and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h - 14 = 2*t - 6*h, 4*t + 3*h = -23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -257, -530, -809, -1094, -1385?\nAnswer: -1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46474859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 8\/19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1701 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10328808.00093 + -10328899. Let k = 125 + -216. Let q = k - o. What is q rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - a - 1. Let x be u(2). Is 3\/x + (-11 - -399) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2\/4 + 5557905*g + 11115807 = 0. What is g?\nAnswer: -7410538, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 8*v**2 - 7*v - 4. Let l(b) = b**3 - 2*b**2 - 6*b + 1. Let f be l(4). Let q be m(f). What is the greatest common factor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -10, -6, 10, 44, 102, 190, 314?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 12, -3*h + 3*w = -2*h - 3. Let b be 1*-1 - (-25)\/h. Factor 2\/3*t - 2\/3*t**4 + b*t**2 - 2\/3*t**3 + 0.\nAnswer: -2*t*(t - 1)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -104*z**3 + 3*z**2 + 9. Let l(r) = 103*r**3 - 2*r**2 - 11. Let u(f) = -7*l(f) - 6*m(f). Find the third derivative of u(v) wrt v.\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 750 and 1014600?\nAnswer: 5073000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 5:14 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epewcp. What is prob of picking 1 c and 1 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/5284 and 13\/84.\nAnswer: 110964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m + m - 51*m)*(7039*m**2 - 7039*m**2 - 631*m**3) to the form t*m**2 + k*m + n*m**3 + y + a*m**4 and give a.\nAnswer: 29657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/10 of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 50 = -2*a, 0 = -a - 0*a - 4*b + 12. Let i = -34 - -111. What is the remainder when i is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/2, -1\/7, -2\/11, -2\/7, -3\/2.\nAnswer: -33\/2, -3\/2, -2\/7, -2\/11, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 152222 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - u - 8. Let g be v(4). Let x(l) = 2*l**2 - 3*l. Calculate the remainder when x(g) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -1)*6\/(-6). Suppose z = 3*x - 3*r - 30, 13 = x + 2*r - 0. Suppose -t = -25 + 6. Calculate the remainder when t is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/51*7\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-8)\/d)**(-6)\/(d**(-9\/5)\/d)**(-17))**45 assuming d is positive.\nAnswer: d**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*h - 23253 = -189087. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjkppjjcppkp. Give prob of picking 1 j and 1 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 901.8209 micrometers?\nAnswer: 901820.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 - (13 + -5) - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/21, 3, -4, 0.07, -130, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 21 = 3*c - 7*c, -5*t - 15 = -4*c. Which is greater: t or -932?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*y + 1 - 364*y**3 + 180*y**3 - 224*y - y**2 + 186*y**3 to the form f*y**3 + m*y**2 + j*y + u and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000126774119 to seven dps.\nAnswer: -0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p + 0 = -100 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353*s = 350*s + 30. Suppose -s*y + 230 = 13*y. Solve 13*j = 15*j - y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 - 4*f. Let l(v) = 3*v**2 - 5*v. Let b(m) = -4*l(m) + 5*y(m). Let u(q) = -2 + 5*q + 3 - 1. Give u(b(d)).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fffh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 - -46. Let g = w - -25. Let o = g - -25. Solve 20 = -q - o*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4, 4 = -q + 2*n - 5. Let v = q - 16. Let w = 44 + v. Solve -5*f = 4*k + 36 - w, 3*f = 3*k - 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v\/(v*v*v**(2\/13)\/v)*v)\/v))**(15\/8)\/(v**(3\/14))**(-4\/27))**19 assuming v is positive.\nAnswer: v**(19931\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*k - 426 = 0, 0 = -f + 2*f - 3*k - 92. Suppose 0 = -4*q - 5*c + f, 2*c = -2*q + 4*c + 52. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 5 - 18)*(42*q**2 - 47*q**2 + 29 - 33 - 4*q**3).\nAnswer: 232*q**3 + 290*q**2 + 232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 17 = p - 0*x, -p + x = -2. Solve -p*q - 7 = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkrrrkkmkkbkrkrkkkk. Give prob of picking 3 k.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 4 - (-1 + 1). Let m(h) = h + 6. Let q(b) = -2*b - 5. Let u(w) = p*q(w) - 3*m(w). What is u(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37895 is divided by 574.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39710037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 22095?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -13 - (-151 - -128)) + 16.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 16329061 = -46329061. What is a rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3425, 15066, 34469, 61634, 96561?\n\"Answer: 3881*o**2 - 2*o - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7011109.\nAnswer: 7, 1001587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 4*h. Let l be f(3). Let q be (7 + -17)*(-3)\/l. Let -1\/2*s**4 - 8*s + 8 + 2*s**3 + 0*s**q = 0. What is s?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 - -0.249430814.\nAnswer: -82.750569186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 3*a**2 - 2*a**2 - 1 + a**4 + 3*a as v*a**2 + f*a**3 + r*a**4 + u + w*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 395171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76258\/31775 - -2\/31775. Factor 0 - 18\/5*a - v*a**2 - 2\/5*a**3.\nAnswer: -2*a*(a + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 12:17 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5862.163km in meters?\nAnswer: 5862163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 8979, -0.0052, -0.05?\nAnswer: 8979","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/3302654 and 69\/2876.\nAnswer: 4749216452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -110, -205, -346, -545, -814?\nAnswer: -1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -379 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13 - r**2 - 18 + r**2 + 5*r**3 wrt r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9257 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Let n = 10 + -9.5. Let i = n + u. Which is the third smallest value? (a) 2\/13 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 20\/6 - (-22)\/6. Suppose 17 + 43 = -x*g. Let h = 129 + g. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 35.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4899 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(3\/7)\/(i**(-2\/7)*i)**(2\/15)*(i*i\/(i**(1\/5)\/i)*i*i*i*i*i**(-6\/7))\/(i**(2\/9)*i\/(i\/(i\/(i*i**4)))*i) assuming i is positive.\nAnswer: i**(2582\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 399*q - 2364. Let r be m(6). Calculate the highest common factor of r and 198.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.3 (b) 1\/4 (c) -1831372\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 75 = 5*q. Let m = 14.72 + -4.72. Is q bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkfffffkkff.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (705\/20)\/3 + 3\/12. Factor 10*k + x*k**2 + 2*k**3 - 7*k + 15*k + 8.\nAnswer: 2*(k + 1)**2*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328 - 140*m**2 - 328.\nAnswer: -140*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 + 24*r - 94. Let v be i(3). Which is bigger: -6 or v?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 60, 247, 758, 1755, 3400?\n\"Answer: 27*h**3 - 2*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*k + 12 = 72. Which is greater: k or 70\/111?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3316 rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126 - 45. Calculate the highest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**4\/4 - 68873*k**3\/4 + 237195165*k**2\/4 - 142264759*k\/4 - 47430769\/2 = 0. What is k?\nAnswer: -2\/5, 1, 6887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -36. Suppose 16 = i*q + 10. What is the closest to -0.2 in -1.3, q, -3\/2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 + 13*t + 2. Let n(b) = -4*b**2 - 14*b - 3. Let w(d) = 3*h(d) + 4*n(d). Let q be w(-6). Let s = q + -306\/5. Which is bigger: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1256705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -8 (c) 3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19, -85, -273, -649, -1279?\n\"Answer: -11*l**3 + 5*l**2 - 4*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1897, 1776, 1585, 1312, 945, 472, -119, -840?\nAnswer: -1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15037 and 605?\nAnswer: 827035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45159070.\nAnswer: 2, 5, 11, 199, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -39. Suppose -4*w = -2*w - 296. Suppose j = -3*x + 131 + w. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206141 is divided by 1203?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 2470*y + 2469*y + 35, 2*y - 10 = -2*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12)*-3*58\/(-667)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1134, 501, -562, -2061, -4002, -6391?\nAnswer: -9234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -76*z - 5402. Determine n(-71).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n - 54 = 0. Suppose 0 = -4*x + x + n. Let c(h) = -39*h**2 + 3*h + 6. Let j be c(x). Round j to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + 648 = 564 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -973*k - 3677 + 3677 to v*k + b and give v.\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2723820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 4.7. Let a = 0.1 + 0. What is the nearest to a in 4, p, -1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.4 (c) -175 (d) 28 (e) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-593)\/3*(-18)\/6. Let s be (-2)\/(-3) + 559\/3. Suppose -n - g = -3*y, n = y - 2*n - s. What is y rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(-3 + 5 + sqrt(15)\/sqrt(3) - 1*-2*sqrt(80)))**2*-4.\nAnswer: -40644 - 2160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -37 + 14 + 5 + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**2 + 20. Let i(w) = 8*w**2 + 2*w - 21. Let j(x) = 7*g(x) + 6*i(x). Calculate j(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 - -68. Let k = 7432 - 7477. Which is greater: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14243, 56971, 128185, 227885, 356071, 512743, 697901?\n\"Answer: 14243*h**2 - h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115808751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82040504 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-16)\/6 + 1680\/2250 + -1?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 17*t - 9 + 15 - 3 - 2. Let g(a) = a + 1. What is -3*g(z) + v(z)?\nAnswer: 14*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -761, -1518, -2277, -3038, -3801, -4566, -5333?\nAnswer: -6102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11823368855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + o**2 - 2*o**2)*(5*o - 4*o - 2*o)*(3 + 3 - 2)*(1070*o + 1064*o - 2147*o + 1).\nAnswer: -52*o**4 + 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 8*o**2 + 3*o - 15. Suppose -2*w - 5*k = -11, 2*w + 3 = -2*k + 17. What is v(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3 - 9*u**2 - 3 + 34*u**2 - 20*u**2. Let z(n) = n**2 - 1. Calculate b(p) - 6*z(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-18) - 68\/225. Let a = 9846 - 9843. What is the second biggest value in -4, h, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 13371.8?\nAnswer: -160461.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/435)\/(2\/(-5)) - (-155)\/(-465)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4625726 = -2*v - 2*d, -3*d = -2*v + 1850298. Let j = -425146 + v. Round j to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94*c*j**6 + 93*c*j**2 - 519*c*j*t - 2*c*t - 2*c + 2443*j**5*t + j**2*t wrt j.\nAnswer: -11280*c*j**3 + 146580*j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8)*(-2)\/4. Let i be 372\/(-420) - 6\/(-10). What is the closest to i in f, 0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**6\/420 + 17*s**5\/210 + 43*s**4\/28 + 69*s**3\/7 - 57*s**2 + 3*s + 1. Factor h(d).\nAnswer: -2*(d - 23)*(d + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -2.487.\nAnswer: 9.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10396 - 10396. Suppose 2 = 2*h, -q + 5*q = 5*h - 5. Solve u = -3*c - q*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2712 and -2711 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -1 - 2\/(-3). Let l = 2\/1353 - 867281\/5412. Let t = l + 159. Which is the third biggest value? (a) 0 (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/2 - (0 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000497 to 6 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8862121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642 (base 9) to base 2.\nAnswer: 1000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*f - 152*f**3 - 2 - 2*f**2 + 304*f**3 + f**4 - 152*f**3 in the form r*f + v*f**4 + n*f**2 + t*f**3 + u and give r.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 x, and 1 r when four letters picked without replacement from {y: 1, o: 4, x: 3, r: 2, a: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*6\/(-9) - 130\/70. Suppose 0*u + 0 - y*u**2 = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -4*j**2 - 20*j - 10. Is p(-10) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-49)\/7*174\/(-638). Which is smaller: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y)**(-2\/33)*(y\/(y\/y**(-2\/7)))**(-7))**(-1\/23) assuming y is positive.\nAnswer: y**(-70\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -428149?\nAnswer: -25688.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y. Let o be (6 + -2)\/(1\/2). Let i = 4 - o. Let w(g) = -5*g**2 + 4. Let l(b) = 14*b**2 - 11. Let x(q) = i*l(q) - 11*w(q). Determine x(z(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 787061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 968*r + 199*r + 236*r + 621*r.\nAnswer: 2024*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18820498, -37640989, -56461480, -75281971, -94102462, -112922953?\n\"Answer: -18820491*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -459*t**4 + 2022*t*y - 45*y - 19367 wrt t.\nAnswer: -1836*t**3 + 2022*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2, 2.685474?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n + 4*n + 0*n)*(1 + 0 - 4)*(1 - n**2 - 1) in the form a + u*n**2 + l*n**3 + q*n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -2*q + 12, 16*r + 3*q = 603 - 607 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8940293 - -0.167689?\nAnswer: -1.7263403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/175 + -14547\/350. Find the common denominator of s and -26\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(((o\/(o\/(o**0*o))*o)\/o)\/o))\/(o**(4\/5)*o))\/(o**(-3))**(4\/5))**(-48) assuming o is positive.\nAnswer: o**(-384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chh when three letters picked without replacement from hctcbbhcccbcccnchn.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396997\/13 <= 184383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10141 (base 6) to base 7.\nAnswer: -3646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 1. Let p(n) = -11*n + 5. Let j(w) = p(w) - 6*v(w). Let k be j(-3). Let c = -12 + k. Solve -l + 5*y = 15 - 41, 0 = c*l + 3*y + 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 15 = -4*m. Suppose -270 = m*x - 7*x. Suppose -2*w + x = -163. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3 = 23. Suppose s + 4*a = -87, -4*s - y*a + a = 324. Let h = -56 - s. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**2 - s - 6. Let a(q) = 6*q**2 - q**2 + 1 - 4*q**2. Let l(m) = 2*m + 6. Let j be l(-6). Let w be j\/(-10) + 108\/20. Determine w*a(h) + o(h).\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 - 13 - 1*30. Let k be ((-10)\/q)\/(3\/(-10)). Let m = k - -11\/18. Which is the fourth biggest value? (a) 0.5 (b) 1 (c) 3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - (-624)\/(-112))*(-21)\/2. Suppose 0 = 2*f - i*f + 5*k + 346, -453 = -5*f - 4*k. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-159)\/(-33) - (-2 - (-100)\/55). Suppose 0 = -x*i + 3*b + 224, 7*i + 3*b = 3*i + 190. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10501*a**4 + a - 16*a + 3*a + a**3 + 229*a**2 + 10499*a**4 - 1 + 9*a as k + n*a**4 + y*a**2 + r*a + v*a**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1454.26*132.\nAnswer: 191962.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgogkgkkkgkgggkkkkkg. What is prob of picking 1 o and 2 k?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/5 + 39449872\/2255?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 5*v**2 + 2*v - 5. Let m be h(5). Suppose -4*d - 57 = -m*a, 2*a = -3*a - 4*d + 73. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*a - 30. Let o = 106 + -100. What is the second derivative of 0*q + 23*q**2 - a*q - 17*q + o*q wrt q?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 3*s - s + 60*s**2 to q + h*s**2 + g*s and give h.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 0. Suppose -a = p - 20, -2*p + 7*p - 4*a - 55 = 0. Let s be o\/5 + 5394\/p. Round s to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115 + 115. Suppose t = 3*o + 1 + 8. Calculate the least common multiple of 11 and 2\/(1 - o) - (-2)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 2406.\nAnswer: 2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r**2 - 16*r + 4. Let v(h) = -8*h**2 - 20*h + 5. Let p(x) = -5*s(x) + 4*v(x). Let b(y) = 177*y**2 + 2*y + 3. What is b(p(j))?\nAnswer: 708*j**4 - 4*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**3 + 347*q**2 - 130*q - 503. What is d(69)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157246 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*((2*sqrt(8)\/sqrt(4))**2 + sqrt(6)\/(sqrt(9)\/sqrt(3)) + -2*((sqrt(72) + -5 + sqrt(72))**2 - sqrt(72))) + 4.\nAnswer: -1849 + 759*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 57*y**2 - 51*y - 379. Let x(k) be the second derivative of 35*k**3\/2 + k. Calculate the remainder when x(1) is divided by q(58).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -2*p + 5*p. Let d(q) = -5*q + 26. Calculate the remainder when p is divided by d(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*x + 0*x = 1, -2*x = -2*q + 4. Let m be -1*q\/2*10. Is -0.1 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 0)*(-2 + (-469)\/(-238)). Is j > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(7) - (sqrt(42)\/(sqrt(6) - (sqrt(6) - (sqrt(6) + -6*sqrt(6) + sqrt(6) + sqrt(6)))) + sqrt(7))))**2 + (sqrt(468) + -1 + sqrt(468))*6 + 1.\nAnswer: 112 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + -4*(1*sqrt(144) - sqrt(144) - sqrt(144) - sqrt(144)))\/(1*(sqrt(6) + 1*sqrt(6))))\/(1*-6*(sqrt(768) - sqrt(768)*2))*-2.\nAnswer: -3*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-300)\/125)\/((-4)\/(-40))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/5)\/(t*t\/(t**(-1)\/t)*t*t))**(1\/2) assuming t is positive.\nAnswer: t**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 2)*(-4)\/6. Suppose -4*t - 45 = -9*t + 5*n, -3*t - f*n + 7 = 0. Solve 2*d - t*d - 17 = -2*s, 4*s = -4*d - 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1323)\/5 - 4\/10. Let l = z - -408. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1093167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j**2 - 6*j**2 - 5*j**2 - 1 + 3 to q + r*j**2 + b*j and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 28*x**2 + x. What is the tens digit of n(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w - 10. Let a(y) = -4*y - 2 - 2 + 18 - 8 + 5. Give -4*a(u) - 5*o(u).\nAnswer: u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e417b + e?\nAnswer: 3e4189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 287 and 550343?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u + 5. Let n(h) = -7*h - 4. Give -2*n(x) - 3*s(x).\nAnswer: -4*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewnrwwwwuwuff. What is prob of picking 1 r, 1 e, and 1 f?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c - 2085 - 155 = 333*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -26205611 >= -26205609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548 - 288 = 41*d + 1583 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (-2)\/(-4))\/(7\/(-14)). List the prime factors of 145 - t*(-6)\/2.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 3393930*y**2 + 67878000*y + 339389000.\nAnswer: 2*(y + 10)**2*(y + 1696945)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t - 5*t - 1026 + 514 + 512.\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 746.04 litres to millilitres.\nAnswer: 746040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flsy when four letters picked without replacement from {s: 3, e: 6, l: 1, z: 3, f: 3, y: 1}.\nAnswer: 3\/19040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 + -77. Suppose 0*d + v = -d + 3*m, -3*m + 15 = 0. What is the tens digit of (24 - d)*(32\/6)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0)*(6*l + 0 + 0)*(-3*l + 2*l + 3*l) in the form t*l**2 + x*l + w and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -160 + 238. What is the third derivative of -v*n + 78*n + 6*n**6 + 4*n**2 wrt n?\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44\/4183 - 510367\/401568. Find the common denominator of ((-3)\/((-135)\/(-282)))\/(64\/24) and s.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*k*r**2 + d*k*r - 2*d*k + 2*d*r**3 + 6*k*r**4 + 3*r**4 + 2*r**3 wrt r?\nAnswer: 12*d + 144*k*r + 72*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by ((-12)\/(-6))\/(2 - 46\/24)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42126, 42066, 42040, 42048, 42090, 42166, 42276?\nAnswer: 42420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -729 + 728.9785. Let w = 0.0008 + z. What is w rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/39 + (2 - 3)*3.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -41547963 and -41547963 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 8*h - 7. Let t = 18 + -13. Let p be k(t). Let c(x) = -5*x - 3. Let y be c(-7). What is the highest common divisor of p and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1032 and 109\/2580.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m + 19 = -20*m - 2*w, 3*m - w = 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -4)*(1 - 0). Let c(z) = -z**2 + z. Let g be c(2). Let u = g - -3. What is the greatest common divisor of f and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/60 - x**4\/2 + 49*x**3\/6 + 36*x**2. Let v be b(-15). Solve -2*d - d = -4*y, -2*y + v*d = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/28*-4*-1.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (2\/4)\/(16\/480)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 185861 and 57417.\nAnswer: 243278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -484.4 + 484.4. Which is the third biggest value? (a) 0.2 (b) 27 (c) p (d) -26 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4946282 is divided by 2456?\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035264924?\nAnswer: 2, 3, 41, 701399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*t + 1 - 42*t + 71*t to the form i*t + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 335.85 - 108.97. What is o rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*o + 182*o - 85*o + 256*o - 51*o.\nAnswer: 530*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -6. Let b = 15 - w. Suppose -b*s = 6, 370 = n + s + 2. What is n rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.27 - 0.37. Let h = -1.7 + o. Let t = 104.9 - 105. Which is the closest to t? (a) -3\/5 (b) h (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmeememmemee. What is prob of picking 2 e and 1 m?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -452 - -512. Solve -t + 80 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 4\/9 (b) -4 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(11)*-2))\/sqrt(3).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -387 (base 9) to base 10.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2\/3 + 821*h + 84898\/3 = 0.\nAnswer: -34, 2497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7a7 - 0?\nAnswer: 7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 6*v + v + 16, -2*y + 11 = v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*i**2 + 10076*i\/5 + 576\/5.\nAnswer: -2*(i - 144)*(35*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1200)\/(-360))\/(95\/3).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.6 - 35.9. Let o = u - -21. Which is the third biggest value? (a) 0.11 (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.79039 rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by 20809?\nAnswer: 60\/20809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254303104?\nAnswer: 2, 11, 109, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 115\/(-15) + 2\/3. Let s = o - -14. Suppose s*r - 2*r = 85. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 393 divided by -607256?\nAnswer: -393\/607256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 74248.37kg in grams?\nAnswer: 74248370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4778452 and 47828.\nAnswer: 4348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-1))\/d)\/d)**39)**(1\/2) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7607, 30164, 67671, 120128?\n\"Answer: 7475*c**2 + 132*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + -12) - 42165\/3748?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*q - 3*q - 16 = 0, -3*q - 6 = 3*s. Calculate the remainder when s is divided by (-3 - -5)*3\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 7*c - 7. Let d be p(-8). Let z = 2 + d. Let q = z - 3. What is q rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8 + -3. Let k = 63 - 62. Let p be -4 - (k + (2 + -1)\/(-1)). Which is the third biggest value? (a) p (b) 0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60892526*d - 44984155 with respect to d.\nAnswer: -60892526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) 5 (c) -1\/2 (d) 3 (e) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 5*r + 2*r + 0*r - 4*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 36*r - 26*r - 17*r. Let x(v) = -3*v**2. What is x(d(f))?\nAnswer: -147*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -86*d - 164. Let u be n(-2). Let c(y) be the second derivative of 1\/18*y**4 + u*y + 1\/30*y**5 - 1\/3*y**2 + 0 - 1\/9*y**3. Factor c(z).\nAnswer: 2*(z - 1)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c**2 - 6*c**2 - 19*c**2 as i + m*c**2 + z*c and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*b - 98483, 0 = 3*b - 105 + 90. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 2*y**4\/3 - 32*y**3\/3 + 2*y**2 + 16*y. What are the prime factors of r(18)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x + 2*x - 7*x. Let t(d) = 77*d**2. Give n(t(j)).\nAnswer: 77*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 55*p - 2. Give y(-1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273680?\nAnswer: 2, 5, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2247 (base 8) to base 3.\nAnswer: 1122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - j + 2. Let l be b(0). Let s be (-7)\/(-5) + 5\/(-5). Factor 2\/5*m + 0 - s*m**l.\nAnswer: -2*m*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, -2\/115, 2\/7, -24, -249?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, i: 2}. What is prob of sequence si?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -43012212?\nAnswer: -43012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12360 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131 by -2095838.\nAnswer: 131\/2095838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/85335 and 53\/234.\nAnswer: 6656130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*l + 2 - 7, -3*v + 4*l = -34. Suppose 3*z - v = -2*z. Solve -z*c - 12 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/3)\/h*h)**(-48)*(h\/(h*h\/(h\/(h**0*h)*h)*h))\/h*h*h*h\/h**3*h*((h\/((h*h**(-2\/7)*h)\/h*h*h))**(-1\/10))**(-5\/16) assuming h is positive.\nAnswer: h**(-4539\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*r**4 + 122*r**4 - 246*r**4 - 50*r**3)*(4 - 2 - 1) - 25*r**4 + 14*r**4 - 25*r**4.\nAnswer: -37*r**4 - 50*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 847188 and 7676?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 0*m**2 + 8*m - m**2 - 36 + 14*m. Suppose -52*v - 6480 = -265*v - 219*v. What are the prime factors of r(v)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*u + 4*p, -4*u = 7*p - 5*p + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93 + 97. Solve 14 = -2*m + 4*r, -i*r + 35 = -0*m + 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -0.28.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -81 - 0.128\nAnswer: -81.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4565766 by -6.\nAnswer: 760961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5, 3*f - 4*s + 175 + 24 = 0. Let p be f\/(-10) - 4 - 2. What is the nearest to p in 1\/2, 1.2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34557 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 3*l**2 + 2*l**2)*(-92 + 178 - 88 - 41*l).\nAnswer: -41*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 15, k: 5}. Give prob of picking 4 f.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (-2 + sqrt(128)))*-4 + 3*sqrt(128) + -5)**2.\nAnswer: -624*sqrt(2) + 1321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-1 - -27 - 13).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-50 - -48 - (-1 + -8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 - 2*u + 9. Give j(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722*y + 2*u = -791*y - 761, u = y + 10 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1086722420 to the nearest integer?\nAnswer: 32965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - l - 1. Let f be r(-1). Suppose 2*o = -f + 5. Let j be 0 + -1 + o - 0. What is the third smallest value in -5, -3\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1893*u**4 + 6*u**3.\nAnswer: -3*u**3*(631*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 559, 1106, 1653, 2200?\nAnswer: 2747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 3. Let p = j - -4. Suppose p*g - 6*g + 76 = 0. Calculate the remainder when g is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7071, -75, -2, -11 in increasing order.\nAnswer: -7071, -75, -11, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80 + 81. Is t != -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 5*z**4\/24 + 7*z**2. Let l(o) = -2*o**2. Determine l(k(w)).\nAnswer: -50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*l = -9, -2*p = 2*p - 4*l + 12. Suppose -v - 253 = -4*x - p*v, 0 = x + v - 62. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14\/19 + -4\/57. Sort 3, z, -0.084, 4.\nAnswer: -0.084, z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7983183.53 rounded to the nearest 1000?\nAnswer: -7983000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -16) + 73 + -62\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 6*n + 5. Let u(p) = p**2 + 7*p - 6. Let h(m) = 4*l(m) + 3*u(m). Let t be h(-2). Sort t, -2, 1 in descending order.\nAnswer: t, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30111322 + 210?\nAnswer: 30112132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**3\/6 + 5*t**2\/2 - 6*t. Suppose -s + 20 = 3*s. Calculate h(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, s: 8, b: 4, g: 1, h: 1, d: 4}. Give prob of sequence hs.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1966 (b) 1 (c) 35\/31 (d) 2\/13 (e) 4\/3 (f) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 27*i**2 - 4*i - 5. Let p(k) = -14*k**2 + 2*k + 3. Give -3*n(x) - 5*p(x).\nAnswer: -11*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1801.\nAnswer: 4\/1801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.102 * -4.\nAnswer: -0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*i**3*u**4 - 40*i**3*u**2 + i*u**3 - 63*i*u**2 - 34*u**4 + 1 wrt u.\nAnswer: 2544*i**3*u + 6*i - 816*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/7)\/((-58)\/174 - 2\/(-42)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/(sqrt(2) + (-1*sqrt(2) - sqrt(2))))\/(sqrt(16)\/(1*sqrt(8))))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 8*s. Let y be d(-7). Let o = -22 - y. Is 20 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13130 + -11333?\nAnswer: -31123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2432*n**4 - 2378 + 4859*n**4 + 3682*n**4 wrt n?\nAnswer: 24436*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7155, -14306, -21457, -28608, -35759?\nAnswer: -42910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/6 and 115\/3416?\nAnswer: 10248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 2*h - 3 - 4, 5*k = -4*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8 + 0 = 0, -628 = -3*u - 5*c. Let a = 221 - u. Solve 3*t + 10 = -a*n, 2*n - 5*t = 7*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 4, -1\/3, -31?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - (1 - (-4 - -6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from {m: 3, n: 1, k: 4, u: 1, t: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**13*c*c**(-13)\/c)**(2\/109) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -3367.\nAnswer: 1010.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34 + 3 + (-4 - 0). Suppose -34 = -k*g + 31*g. Let w = 33 - g. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72325\/12 - 6037. What is the common denominator of m and 343\/(-525) - (-10)\/(-75)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -35*m**2 - 20*m + 195. Let o(g) = -5*g**2 - 3*g + 28. Suppose -17 = -2*w - 5. Let t = 21 - w. Let x(h) = t*o(h) - 2*q(h). Factor x(d).\nAnswer: -5*(d - 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/6*(-75)\/(-20). Let c = -5 + x. What is the remainder when 17 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 23 - 2*b + 11 + 6.\nAnswer: -2*b + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 2 + 8 - 4)*(3*r + 4 - 4).\nAnswer: -9*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*i - 2309 = -1791 + 4522 for i.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341573 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 630*n**2 + 1 - 1262*n**2 + 20 + 631*n**2 + 11 as m + i*n + s*n**2 and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -362*v**2 - 5. Let t(l) = 181*l**2 + 2. Let k(j) = -2*q(j) - 5*t(j). Let y(b) = 224*b**2 - 677*b**2 + 227*b**2 + 227*b**2. Calculate k(y(d)).\nAnswer: -181*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 36 + 44 = 0. Solve 3*w - o*w + 14 = 4*u, -3*u - 5*w + 13 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3450, -6936, -10408, -13860, -17286, -20680?\nAnswer: -24036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1146 and 19888?\nAnswer: 11395824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**2 - 5*s + 6. Give l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - r - 2*r + (-r - r + 4*r)*(-4 + 3 + 3) + 286*r - 37753 + 37753 to i*r + j and give i.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(6436 - 104*g**2 - 13*g**2 - 6437).\nAnswer: -117*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -146, -356, -658?\nAnswer: -1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -339, 3, 1, 484\/9?\nAnswer: 484\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1537, -2, 1.11 in descending order.\nAnswer: 1537, 1.11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (-81 - -89)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009948 rounded to five decimal places?\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 4, p: 2}. Give prob of picking 2 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 62, 119, 174, 227, 278, 327?\n\"Answer: -z**2 + 60*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 307*h - 37. Let c(d) = 308*d - 47. Determine -5*c(n) + 6*y(n).\nAnswer: 302*n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 105117667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212211 (base 3) to base 13.\nAnswer: 3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 - 17) + (-65)\/5. Calculate the least common multiple of 144 and (44968\/(-147))\/h - 4\/(-42).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(891))**2*2 - (-1 + -5 + sqrt(11) - sqrt(11) - (-2 + sqrt(396) + sqrt(11))**2).\nAnswer: -28*sqrt(11) + 11241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:48 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -11. Let n be 3 - (5 - (-4 + 14)). Let d(a) = -5*a**3 + 14*a**2 + 3*a + 8. Let v(c) = 3*c**3 - 9*c**2 - 2*c - 5. Give n*v(y) + p*d(y).\nAnswer: -y**3 - 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 548. Let o(m) = 38*m + 6. Let z(d) = -13*d - 2. Let b(r) = -o(r) - 3*z(r). Give b(k(g)).\nAnswer: g**2 + 548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by 106607.\nAnswer: -39\/106607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 84 + 291. Does 25 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 135488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-3)*33 + (2\/(-1) - -4). Which is bigger: i or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 10*p = -3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, m: 2, f: 1, d: 1, v: 1, w: 1}. Give prob of picking 3 f and 1 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 126*l**2 - 3861*l + 23232.\nAnswer: 3*(l - 11)**2*(l + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -3.71.\nAnswer: -5.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 26*a - 33. Let p(l) = 6*l - 6. Let f(j) = -29*p(j) + 6*t(j). Give f(-8).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 b, and 1 j when three letters picked without replacement from jrbbrbboorwjbbrbwrb.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 3*d**2 - 2*d - 3. Let k be j(3). Suppose 128 + 164 = 4*w. Suppose w = p + k. Calculate the highest common divisor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 2:07 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 46. Let m be (-9)\/3 + (-6)\/r. Let f(k) = -2*k + 3*k - m + 3. Let d(l) = -3*l**2 - 1. Determine f(d(i)).\nAnswer: -3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*p + 353 = 41, -4*s - 1233 = -5*p. Let t = s - -452. What are the prime factors of t?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - u**2 + u - 1. Let c(r) = 2*r**3 - 4*r**2 + 4*r - 2. Let d be (72\/(-30))\/3 + 2\/(-10). Let b be -1 + d*1 - (-26 - -28). Give b*q(z) + c(z).\nAnswer: -2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y = -5*h + 855, -5*h + 3*y = -895. Suppose 0 = -4*v - 2*l + h, -2*v + 4*l = v - 154. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**2 - 31. Let r be u(0). Let r - 2\/5*p**2 + 4\/5*p**3 + 0*p - 2\/5*p**4 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 4*i**2 - 2*i - 3. Let m be a(-3). What is the first derivative of -5*b - 2 + 3*b - m*b + 1 wrt b?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001161082 to six decimal places.\nAnswer: -0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 7*n + 15. Let v = 2 - -10. Let s = v + -6. What is the remainder when h(s) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17897 and 17897 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6276029 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 2*r + r)*(r**2 + 0*r**2 - 3*r**2)*(-5*r + 2*r + 4*r) as b*r**2 + t*r**3 + x*r + k + u*r**4 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + -7 + -20 - (11 - 12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 345125 and -0.4.\nAnswer: -138050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w**3 - 5*w**2 + 5*w. Let q = -21 + 19. Let n(k) = -5*k**3 + 2*k**2 - 2*k. Calculate q*j(v) - 5*n(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 890*(-15)\/((-1050)\/308)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*t + 17, -t = 783*f - 786*f - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - r - 2 + 4 = 0, 4*d = 5*r - 1. Suppose -5*l + 19 = -j, -16 = -4*j + 2*l - 5*l. What is the remainder when d is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 31\/(-124) + (-178)\/(-8). Which is the second smallest value? (a) n (b) 1\/9 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a + 23. Suppose 0 = -31*n + 37*n + 36. Let x be h(n). Suppose 2*i + 7*j = 3*j + 202, -3*j + 491 = x*i. What are the prime factors of i?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**3*z**3 - 19*p**3*z**2 - 2112*p**3*z - 210*p*z**3 - 12*p*z wrt z.\nAnswer: 6*p**3*z - 38*p**3 - 1260*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) 0.5 (c) -70465\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**3 + 33*m**2 + 56*m + 152. Determine l(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44390095 and -0.3.\nAnswer: 13317028.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -162*c**3 - 5*c - 30. Let g(y) = 162*y**3 + 4*y + 31. Let n(v) = 5*g(v) + 4*o(v). Differentiate n(z) with respect to z.\nAnswer: 486*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/31, 0, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -2\/3, -6, -0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**2 + 9. Let a(h) = -74*h**2 - 75*h**2 + 151*h**2 + 3. Let q(b) = 6*a(b) - 2*r(b). Let t(o) = 88*o**2. Calculate q(t(f)).\nAnswer: -15488*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*r + 158*r - 6*r**3 - 2*r**3 wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -t + 10, -93*l + 95*l + 5*t = -10. Sort 2, 11, l, -4, 3.\nAnswer: l, -4, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5109\/28 - -85\/28. Let v = u - 185. Let a = 0.2 - 0. Is a <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1044868 and 18964?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 42. Let q = 9 - 5. What is the closest to -1\/4 in b, q, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4875625 divided by 7801?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -3)*(-15)\/20. Let l(v) = 11*v - 29. Let u(c) = -4*c + 10. Let i(p) = 6*l(p) + 17*u(p). Let k be i(y). Solve -q + 4*f = -f - 3, k*q + f = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 53891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0052814 - 3.\nAnswer: -2.9947186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -2*c + 121 - 57, 5*r + 64*c - 94 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + d + 18 = 0, d + 4 = -d. Put t, -5, 0.5 in decreasing order.\nAnswer: 0.5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9680 and 704.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -3*i**2\/2 - 8. Let k(x) = x. Calculate z(k(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1746)\/(-18) + -217 - -70?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1551512 (base 7) to base 3.\nAnswer: -101212221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256 and 3253728.\nAnswer: 26029824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**3 + 5*f**2 - 16*f + 8. Calculate j(4).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -34015487.\nAnswer: -5\/34015487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*p**2)*(-p - 4 + 4) - p**2 + 2*p**3 + p**2 - 3*p**3 + 2*p**2 - 2*p**2 + 3*p**3 - p**3 - 3*p**3 + (0 + p + 0)*(-2 - p**2 + 2).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 13*a**4\/4 + 11*a**3\/2 - 3*a**2 + 111*a - 122. Let w(c) be the first derivative of m(c). Factor w(f).\nAnswer: 3*(f + 1)*(13*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2494*m - 1571*m - 23075 = 0 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = 5*a + 8, 0 = -m + 4. Suppose -36 = -4*l - 4*v, 3*v = -0*l - 2*l + 13. Let o be (3\/12)\/(l\/24). What is the nearest to a in o, 0.5, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, y: 11}. What is prob of picking 1 u and 2 y?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 254\/11. Let t = -760 + 756. What is the third smallest value in 7, q, t?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17453 + 4207 - 163*c + 49*c**3 - 312*c - 130*c**2 - 44*c**3.\nAnswer: 5*(c - 19)**2*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -6. Let s be (4 - 14\/3)*-1. Factor -1\/3*v**j + 0*v**2 + 2\/3*v + 1\/3 - s*v**3.\nAnswer: -(v - 1)*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1 (c) -23.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40189 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 12 = 4*f, -2*f - 5*q = -6*q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-4 + 3*sqrt(125) + sqrt(125))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 14. Let n be 2\/13 + m\/(-13). Let j = 2 + 3. Sort -2, n, j in increasing order.\nAnswer: -2, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/7 + 638*l**2\/7 - 5620*l\/7 + 12400\/7 = 0. Calculate l.\nAnswer: 4, 5, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2*m*p**3 - 3*d**2*p**3 - 5*d**2*p**2 + 10*d*m*p**2 + 30453*m*p**3 + 372*m*p wrt p?\nAnswer: 12*d**2*m - 18*d**2 + 182718*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*o - 47*o + 105*o + 104*o**3.\nAnswer: 104*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -149*p - 44. Let b(r) = -299*r - 95. Let i(m) = -13*a(m) + 6*b(m). Let d(z) = 2*z**2. Calculate i(d(f)).\nAnswer: 286*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1587c84 - 2?\nAnswer: 1587c82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 18765\nAnswer: 2\/3753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*-1*((-5788)\/10 + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -553.7561408 and 2485?\nAnswer: 3038.7561408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 5, -4\/45 in increasing order.\nAnswer: -2\/19, -4\/45, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.6 (b) -3 (c) 13 (d) 0.3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274447 is divided by 135?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-4))\/(3\/1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 48*y**2 + 13*y - 139. Is l(-32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 83.882. Let c = 342 - 341.012. Let y = j + c. What is y rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.517, 0.3, 1.66?\nAnswer: 0.517","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19872131233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-9))\/((-2)\/12). Suppose -l + 3*f + 20 = 0, -20 = -x*l - 2*f + 3*f. Let a = 43 + -23. Calculate the greatest common divisor of a and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6893333, 6893310, 6893271, 6893216, 6893145, 6893058?\n\"Answer: -8*b**2 + b + 6893340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -124392, -248786, -373182, -497580?\n\"Answer: -w**2 - 124391*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 263490848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 253754965.\nAnswer: 253754964.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225 smaller than 296297\/242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 463 + -73. Suppose -w + 3*w - 650 = -5*s, -x = -3*s + 3*w. Suppose p - d - d = 26, 5*p - s = 3*d. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 3*h - 1247 = -1523, 3*m = -0*m + 2*h - h + 112 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 944 - 942.638. Round d to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -261, -1643, -5399, -12717, -24785, -42791?\n\"Answer: -198*g**3 + g**2 + g - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 267 - 120. Let q = s + -52. Suppose 3*n - 4*j = n + 22, -5*n + 2*j = -q. What is the least common multiple of 15 and n?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36375\/8 - -4910863\/1080. Calculate the common denominator of q and -19\/243.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/22 - (-10)\/(-55). Let x = 100 + -8. Let v = -87 + x. Solve -v*p + 40 = -5*k, q*k - k = -5*p + 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14635\/24 - 610. Is -9 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + 0 + (2 + (sqrt(108) + 5 - sqrt(108)) + sqrt(108) - sqrt(108) - sqrt(108))) + 0)**2 + -1.\nAnswer: -324*sqrt(3) + 1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**25*y)\/((y**34\/y*y*y)\/y) assuming y is positive.\nAnswer: y**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.244 + 0.056. Let n = q + -1.3. Suppose 57*u - 62*u + 3*w - 31 = 0, -u - 5*w = -5. Sort u, 0.4, n.\nAnswer: u, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-13)*a))\/a**4 assuming a is positive.\nAnswer: a**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p + 10 = 5*k, 0 = 5*p + 3*k - 6. Factor -27\/4 + 1\/4*v**4 + 9\/2*v**2 - 2*v**3 + p*v.\nAnswer: (v - 3)**3*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/8 + (-6 - -9)\/(-24). Suppose m + 172 + 79 = 3*q, -q - 2*m + 79 = d. What is the remainder when q is divided by 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z - 12. Let j(y) be the third derivative of y**4\/24 + y**3\/3 + 40*y**2. Let q(g) = 22*j(g) + 4*k(g). Determine q(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3478482869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -99.108 at most -53\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 56*x**2 + 4*x + 56.\nAnswer: -4*(x - 1)*(x + 1)*(x + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1921.\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 1 + (8 - 4 - 2)*(2 - 1 - 3))*(-3302 + 7458 - 3502)*(3 - 2 + 0)*(m**3 + m**2 - m**2) to the form k*m + x + t*m**2 + q*m**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -15*k**3 - 2*k - 34. Let p = -62 - 12. Let c = 76 + p. Let h(g) = g**3 + g. Let o(n) = c*h(n) + s(n). Find the first derivative of o(t) wrt t.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7257*l - 137848. Calculate y(19).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 15. Let p be f(6). Suppose -i - p = -39. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3 - 197438*g**2 - 9745440961*g = 0. What is g?\nAnswer: -98719, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -791 - -885. Let z = q - -582. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**3\/3 - 3*s**2 + 10*s - 1. Let c be f(-7). Solve c*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38\/11 - 141\/44. Suppose 1\/2 + 1\/4*h - v*h**2 = 0. What is h?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**4\/4 + r**3\/3 - r**2\/2 + r - 5. Let b be z(1). Find the second derivative of 6*p**2 + 2*p**b - 9*p - 2*p**2 wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8201 (b) 779 (c) -2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from qqiiqiiqqiqqi?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/7*(173 + -292)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443294280 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.4 + 4. Let i = 0.65 + -0.6. Let w = -0.15 - i. Which is the smallest value? (a) -4 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-53 + 68 + 12 + -2 + 1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 - -0.9391507796?\nAnswer: 3.1391507796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 2. Let a be c(-7). Let p(v) = -2*v - 2. Let s(m) be the third derivative of m**4\/8 + m**3\/2 + 5*m**2. Let k(x) = a*s(x) - 8*p(x). Calculate k(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95114, -1, -2, 0, 4, -6 in ascending order.\nAnswer: -6, -2, -1, 0, 4, 95114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -0.2, 2\/15, -83, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*w = -q + 80*w + 31969, -5*w - 63899 = -2*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 + -1751\/11. Let x(y) = -y**2 - 18*y + 49. Let k be x(-10). Let w be (4 - k\/33)*2. What is the closest to a in 2\/7, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 26881344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -49, -104, -195, -334?\n\"Answer: -2*t**3 - 17*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -99*j - 2. Is h(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168870834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 - 215 = -74*q + 310 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + -5)\/(1 - 0). Let t = x + 17. Calculate the remainder when t is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 18*x**2 + 16*x - 35. Give h(-17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 489252 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -556 times 1.5\nAnswer: -834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 23*n**6\/120 - n**4\/24 - 4*n**2. Let v(s) = s**2 - 9*s - 9. Let p be v(10). Determine f(p).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-34)\/6)\/(28\/(-58884)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*5*(-3970)\/(-8)*-2. Let c be 1\/4 - (-1)\/(20\/n). Is (-5)\/(11 - 1)*c a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.032 - 0.132. Let j = 7 - 4. What is the nearest to z in 0.4, 2\/11, j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 6588, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.79 + -0.11. Let f = y - -1. Let j be (6 - 9 - -8)*(-3 + 1). Does f = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/343 + 712\/4459. Let d = 9 + -6. Let h = -7 - -6.7. Which is the second biggest value? (a) l (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12425*i = -12467*i + 1386 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 5, c: 2, n: 1, v: 4}. Give prob of sequence gvv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 minutes before 12:44 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 4, -24, 3 in decreasing order.\nAnswer: 5, 4, 3, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 2 - (-2 + -1). Suppose 0 = 2*n + 5*h - 13, h = c*n - n - 10. Suppose 5*v - n = -4, 4*y + 3*v = -5. Put y, 2, -1 in descending order.\nAnswer: 2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-186)\/(-8) + (-5)\/20. Let v = -13 + r. Calculate the remainder when 19 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 1:57 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25023544 a multiple of 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + (-4 - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ca6 (base 13) to base 6.\nAnswer: 50210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (80\/(-24))\/((-2)\/(-3)). Let w(y) = -y**3 - 5*y**2 + 4. What are the prime factors of w(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from zzvzzzzz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 11. Let k be w(0). Let u be k\/44 - (-2)\/(-8). Let g = 29 - 202\/7. What is the third biggest value in -1, g, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0*k**2 + 11*k**2 - 3*k**2 - 5*k**2. Let t(q) = -4*q. Determine t(v(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*f**2 + 119*f**2 + 2 - 1 + 248*f.\nAnswer: -3*f**2 + 248*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15688 by -106.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 7:38 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1270 and 2540.\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 201755277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/9, -104\/3, 0, -2 in ascending order.\nAnswer: -104\/3, -2, -0.1, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 980 = -2*u, -528 = -4*u + 4*c + 1372. Is 60 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24510, 24704, 25030, 25488, 26078?\nAnswer: 26800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + l**2)*(-3*l**3 + 40*l**2 - 40*l**2) - 1 + 2*l**5 + 1 + (-l - l + 3*l)*(6*l**4 + 7*l**4 + 3*l**4).\nAnswer: 15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 18 = p, 1197*p - 1193*p + 4*h + 8 = 0. Solve 0 = 5*j - 5*k + 25, -p*k = 3*j - 4*k + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4*q - 24, -5*g = 2*q - 4*q. Suppose -n - 8674 = -4*m - 6*n, 4*m - g*n = 8660. What is the common denominator of m\/180 - (-1)\/(-3) and -13\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/21)\/(1 - (-6)\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2746838137715+11\nAnswer: -2746838137704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -y - 2*y. Calculate the greatest common divisor of 21 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13685*m + 6695*m - 648*m to the form t*m + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -122*u**2 - 210*u + 5. Let s(o) = -241*o**2 - 419*o + 9. Let m(g) = -5*n(g) + 3*s(g). Find the second derivative of m(h) wrt h.\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407596.4l in millilitres?\nAnswer: 407596400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 857 (base 9) in base 14?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 6. Let i be 16\/(-72) + 336\/54 + (-29)\/5. Which is the nearest to i? (a) -2\/5 (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - (-107 + 107)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (4 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 18*r + 81.\nAnswer: -3*(r - 9)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**3 - 3*o**2 - 7*o + 4. Let t(j) = -j**3 - j + 1. Let w(l) = -3*t(l) + z(l). Suppose -3*q + 2*q = 4. Let a be w(q). Solve 5*d + a = 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*-134.014\nAnswer: -1608.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/((p**(-1)*p)\/p)))\/p*p)**(-2\/21)\/(p\/((p\/(p**(-1)*p))\/p)*p**(-10)))**(21\/5) assuming p is positive.\nAnswer: p**(191\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 4. Suppose -4*u - 111 = 3*h, -2*h + 2*u - 20 - 40 = 0. Let y = 38 + h. Let p = y + -2. Calculate w(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225 divided by -45\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 16*l**2 - 18*l - 5. Let x be u(-5). Let f = -125 + x. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -309141?\nAnswer: 309151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587 - 658*d + 295 + 292 + 664*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 1) + -2 + 6. Let v(t) = -3*t**3 - 2*t**2 - 1. Let o be v(a). Is (-2)\/6 - 2189\/o a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 8 - 3)*(3004*t - 5*t**4 - 413*t + 7*t**4).\nAnswer: 18*t**4 + 23319*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -217905*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6115789, 12231574, 18347357, 24463138, 30578917, 36694694, 42810469?\n\"Answer: -f**2 + 6115788*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(275) + -1*sqrt(275)) - (5*sqrt(99)*-2 + sqrt(99)))**2.\nAnswer: 8019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**3 - 4*d**3 + 0*d**3 + (0*d + 2*d + d)*(-2*d**2 - d**2 + d**2) + 3*d**3 + 2*d**2 - 5*d + 5*d.\nAnswer: -d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q - 10. Let z(f) be the second derivative of -f**3\/6 + 2*f**2 - 13*f. Let n(r) = 4*d(r) + 10*z(r). Let k(i) = -i**2. Calculate k(n(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 3:21 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**4 + 113*c**2\/2 - 63*c - 979. Find the first derivative of t(l) wrt l.\nAnswer: 12*l**2 + 113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180067573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20770 - 3?\nAnswer: -20773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c + 10 = 0, -d - 4*c = -14. Suppose 16*s - 15*s = d. Suppose -3*i + 5*i - s = 0. Solve 4 = -i*f + 13, 0 = 2*j - 4*f + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 10*c - 11*c + 37, -4*p - 2*c + 42 = 0. What is the lowest common multiple of 28 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1770735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 24, 7, 4, 5, -27 in descending order.\nAnswer: 24, 7, 5, 4, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/6 + (-8)\/(-24). Suppose -2*u + s*u = 16. Is 7 a factor of (-6)\/u + (-760)\/(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10cacb + 3?\nAnswer: -10cac8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27251851 equal to 27251851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbbhhhtthhhth. Give prob of picking 3 t and 1 h.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 135825389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 544 + 565?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.8 in -1, 19\/5, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/(-9) - (-8)\/(-12). Suppose -5*w - 4*p = -31, s*p = 5*p - 8. Solve -w*q - q - 8 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14908444657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkikikkbkiiiik. Give prob of sequence iib.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - 4*a**3 + 6*a**3)*(2 + 3 - 3)*(-71 + 71 - 29*a**2).\nAnswer: 58*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 14*d**2. Let m(u) = 39*u - 24. Let b(q) = -8*q + 5. Let z(o) = -24*b(o) - 5*m(o). Calculate k(z(y)).\nAnswer: 126*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c + c + 2*c - 3*c + c + c - 2*c - 2 + 2 - 3*c + 0*c + 4*c + (0 + 0 - c)*(0 - 2 + 0) + 2*c - 3*c + 2*c + 2*c + 0*c - 3*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*g**3 + 2*g**4 - 3*g**4 + 2 + 3 + g to the form w + y*g**4 + t*g + i*g**2 + j*g**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*o**3 - 42*o**3 - 39*o + 8*o + 50*o**3 wrt o?\nAnswer: 222*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 1200, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 973585?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 16*c - 4. Let v(l) = -4*l + 1. Let w(m) = -g(m) - 4*v(m). Let o(j) = 244*j. Determine w(o(x)).\nAnswer: 119072*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 z when four letters picked without replacement from zxzzzxzxxz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -213, -208, -193, -162, -109, -28?\n\"Answer: u**3 - u**2 + u - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 8:10 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2248 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1162503 - -24?\nAnswer: -1162457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**3 - 2*j**2 - 23*j - 11. Let x(k) = 2*k**3 - 3*k**2 - 19*k - 11. Let n(g) = -3*b(g) + 4*x(g). Give n(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4 - 3*z - 10*z + 19*z. Let n(p) = -7*p + 4*p + 15 + 4*p - 14. Give f(r) - 5*n(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 - 38\/9. Let s be -4 - 335\/(-70) - (-8)\/(-28). Sort 1\/4, s, k.\nAnswer: k, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2215.12 + -2215. Which is the nearest to -1? (a) 5\/4 (b) m (c) 3 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 30*h**2 - 42*h + 21. Let b be c(-19). Let j = -232861\/20 + b. Calculate the common denominator of -39\/70 and j.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22 + -9*90\/27. Let i(p) = -2*p + 5. Let c(h) = 6*h - 14. Calculate n*i(j) - 3*c(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 31 = -0*g + g, 4*c - 16 = 5*g. Let s(d) = 16*d**3 - d**2 - d + 1. Calculate the remainder when s(1) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -450099 - -811822. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 4. Let p be a(3). Let f(x) = -x**2 - 11. Let j(z) = z**3 - 13*z**2 - 65. Let u(c) = -6*f(c) + j(c). Calculate u(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13775 - -13771. Suppose 6*x = -5*b + 3*x + 19, b + 7 = 3*x. Sort o, 6, b, -1 in ascending order.\nAnswer: o, -1, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223*d**5 + 116*d wrt d?\nAnswer: 4460*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**5\/60 + 41*y**4\/12 - 83*y**3\/6 - 8992*y**2. Determine u, given that q(u) = 0.\nAnswer: -83, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.047 + 0.047. Let t = c - -19.955. Let p = t + 0.04499937. What is p rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1950*a**5 - 64*a**4 - 45*a**3 - 123950*a**2 + 41*a wrt a?\nAnswer: 117000*a**2 - 1536*a - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 + 0*o**3 + 0*o**3 + (3*o**2 - 7*o**2 - 2*o**2)*(2 + 3 - 2)*(8*o + 9*o - 19*o).\nAnswer: 38*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 1188*b**2 - 5763*b - 179828. Give g(1183).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/61)\/((-901)\/(-34) - 25)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370133\/2 != 685067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1182, -9563, -32308, -76599, -149618, -258547, -410568?\n\"Answer: -1197*n**3 - 2*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 8*p**5\/5 + p**4\/3 + 65*p**3\/3 - p + 66. What is the second derivative of o(l) wrt l?\nAnswer: 192*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 6*i**2 + 3*i - 7. Let x be v(6). Let a = -7 + x. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*j + 4*j - 17 - 3 + 7 - 2*j.\nAnswer: 57*j - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, p: 5, t: 3, c: 1, b: 1, w: 6}. Give prob of sequence tp.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 5*v**3\/3 + v - 1. Suppose c - 3*c - 2 = 0. Calculate a(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -337*r - 128 wrt r.\nAnswer: -337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12176 + -22714. Let o = 252821\/24 + c. Find the common denominator of o and 85\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + 2 + 2 + (sqrt(171) + -1)*-4)*-4*5)**2.\nAnswer: -950400*sqrt(19) + 10285200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwqxxqxqqqeqwqqqqwqe. Give prob of picking 1 w, 1 x, and 1 e.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*s - 95, -5*u - 170 = -0*s - 4*s. Let n be (-12)\/u + (-66)\/(-10). Suppose j + 9 = 4*j. Solve -2*x = -0*x + j*v - n, -2*v + 23 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 21. Let s be u(-11). What is the highest common factor of s and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(3) + -3 + sqrt(2)*-2 + 4.\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2501 + -2446. Solve 13*d = 24*d - a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j + 20*j + 21*j - 60*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**12\/g*g)*g*g*g\/g**0)\/(g*g\/(g\/((g*(g*g**2)\/g)\/g))*g*g)**(-28\/3) assuming g is positive.\nAnswer: g**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 168726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 46. Suppose 4*d = 3*y - 63, 2*y - n - 1 = -d. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.124 * 5.93.\nAnswer: -0.73532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2982481, -2982506, -2982549, -2982610, -2982689, -2982786, -2982901?\n\"Answer: -9*i**2 + 2*i - 2982474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 102851 divided by 1134\nAnswer: 14693\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c**2 - c**3 + 0 + 4*c**2 + c + 1. Let b be p(-5). What is the closest to -1\/2 in 1\/10, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yssssssy. Give prob of picking 1 s and 1 y.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(26 - 32 + 2*m + 4*m).\nAnswer: -6*m + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-15))\/((-6)\/15). Suppose -4*i = -16, h*f + 6 + 9 = 3*i. Which is the third smallest value? (a) -5 (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*g**4 + 77260400*g**3 + 93268310632692*g**2 + 93268252687400*g + 23317058343076 = 0. What is g?\nAnswer: -2414387, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11201 (base 5) to base 10\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.051 and 2.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820593 is divided by 356?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77859646 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112121200221 (base 3) to base 9.\nAnswer: -477627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*u + 15685, -5*q + 7327 = 2*u - 522. Suppose -v = -2*v - 23. Let h = v + u. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.7 - 9. Is b at least as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59309 (base 10) to base 3\nAnswer: 10000100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61056, 61054, 61052, 61050, 61048, 61046?\nAnswer: 61044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8696 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 5:23 PM?\nAnswer: 563","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 28*g**2 + 20*g + 18. Let f be j(-1). Let c(z) = z**2 - 33*z + 187. Let t be c(f). Solve -14*d = 37 + t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 17*j - 22. Calculate the remainder when 185 is divided by p(5).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = 0, 5*p - 2*p = -g + 5. Let f be (3 - 8\/4)\/(p\/2492). Suppose -2492 = -4*d + 2*x, -4*d + 3*x - 6*x = -f. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**3 - 4988*x**2 + 1471600*x + 34746800 = 0.\nAnswer: -1490, -22, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41426043959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**6\/40 + 31*f**5\/5 - 127*f**4\/2 + 256*f**3 + 22*f**2 - 108. Factor q(g).\nAnswer: 3*(g - 2)**2*(g + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.5 (b) -5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 11. Let y be k(-6). Let m = -1.6 + 2. Sort y, m, 0.2 in increasing order.\nAnswer: y, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40080, 80119, 120110, 160029, 199852?\n\"Answer: -4*z**3 + 40067*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10350 (base 7) to base 14.\nAnswer: d27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 23310687?\nAnswer: 23310702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 18*w**2 - 15*w + 38. Let x be 5 + 133\/(-6) + (-1)\/(-6). Let o be m(x). Solve -4*v = o + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7347 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 0*x + 2*x)*(-2*x**2 - 3*x + 3*x) - x**3 + 0*x**3 + 2*x**3 - 94*x**3 - 135*x**3 - 26*x**3.\nAnswer: -250*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1239\/(-944)*(-8 - (-7812)\/980)\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (96\/144)\/((-2)\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1265 - -1252. Let g = 3.6 - 4.1. Which is the third smallest value? (a) g (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**3 + 5*s**2 - s - 3. Let v = 121097 + -121098. Suppose 0 = -2*p - 3 - 3. Let z(a) = -a**3 - a**2 + 1. Give p*z(u) + v*o(u).\nAnswer: -u**3 - 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 4*z. Let m = z + -3. List the prime factors of (0 - -6)*m\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361801 is divided by 15729?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o**3 - 5*o**2 + 5*o - 1. Let h be x(2). Suppose 345 = 3*i + h. Suppose 3*b - 314 = -i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 5 = 29 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*n - 4819 = 6751 - 2482 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 97 - j - 218 + 121. Let i(q) = 291*q**2. Calculate r(i(u)).\nAnswer: -291*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqq. What is prob of sequence qq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i**2 + 63*i + 1. Let x(y) = 17*y. Give f(x(h)).\nAnswer: 2890*h**2 + 1071*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (5460\/(-1170))\/(16*2\/(-12)*(-1)\/1)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {r: 3, l: 6, w: 1, i: 1, p: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -462*m**2 - 1. Let s(z) = 22*z. Calculate s(n(v)).\nAnswer: -10164*v**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -11*c**3 + 5*c - 1. Suppose 47 = -4*j + 55. Let z(v) = 5*v**3 - 2*v. Calculate j*s(o) + 5*z(o).\nAnswer: 3*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*n + 7*n - 34. Let j(k) = -8. Let z(l) = -l - 8. Give n*z(o) - 3*j(o).\nAnswer: -2*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4386)\/(-10965)*(105\/9 + 0).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-10)*1\/(-74). Let c = l - -79\/185. Do c and -7\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 55*c**2 + 50*c - 182. What is l(-56)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*n - 177142, -44*n + 4*l = -42*n - 70876. What is the ten thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 9. Suppose 8*t - 13 - 19 = 0. Let c be 94\/10 + ((-40)\/25)\/t. What is the third smallest value in 5, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 11 = 7. Differentiate 9*t + 7 + 5 - w + 14*t with respect to t.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -17. Let h be (-9 - j) + (-4)\/6. Is 2\/9 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Let g be (3\/u)\/((-12)\/16). Let w be g\/(2 - (-2 + 6)). Let v(p) = -p**3 + p**2 - p. Let x(f) = 2*f**2 - 2*f. Determine w*x(m) - 2*v(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/99*12\/(-32)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**2 + 12414*v + 12842283 = 0.\nAnswer: -2069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -92, 0.25, 1\/3, 4?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 18 - 58 = -o, -3*o - h = -198. Solve -2*u + 67 - o = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1872)\/(-56))\/((-2)\/14). Let a be 1\/(-2) - m\/12. Suppose -17*s + a*s = 76. What is the remainder when s is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-three quarters of a millisecond?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -7. Suppose v = -3*x - 4, v = 4*x + x + 20. Solve -2*j = -m*j - v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**7\/2520 + c**6\/45 - 8*c**5\/15 + 13*c**4\/12 + 47*c. Let r(x) be the third derivative of f(x). Let r(m) = 0. What is m?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a = -1. Suppose 5*o + 1 = -3*g, -4*g - o + 6*o - 13 = 0. Let t be g + (4*a)\/(-1). Solve -t*u + 3 = -3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24048.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -15*k**5 - 24*k**4 + 72*k**3 + 6*k**2 - 57*k + 18 = 0.\nAnswer: -3, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 26*q**2 - 12*q + 12. Let u(z) = 2*z**2 - z + 1. Let v(n) = -12*u(n) + x(n). Let w(c) = -400*c. Determine w(v(o)).\nAnswer: -800*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**2\/2 - 5*w + 1. Let z be f(11). Solve -6*v - 16 = -2*v + 4*s, z = 2*v - 5*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/9)\/((-10)\/(-9)). Let x(k) = -k**2 - 3*k + 4. Let b be x(-3). Suppose 5*g = -a + 5, 5*g - 7 = b*a + 23. Is f at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**4\/12 + 11*a**3\/6 - 5*a**2 - 14*a. Let u be l(-12). Differentiate v + u*v - 3*v + 13 + 5*v wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((108\/(-8))\/(-3))\/(-3)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = 1. Let p(n) be the second derivative of n**5\/20 - n**4\/3 + n**3\/2 + 3*n**2 - 2*n. Calculate the least common multiple of 22 and p(l).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/6*21 - 232\/58. What is the closest to -0.01 in 2\/37, i, -0.2?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**5\/15 + 2*a**4\/9 + 5*a**3\/18 + a**2\/6 + 2*a + 2. Let y(s) = 0. Calculate s.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:47 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 36*c + 2 - 1\/6*c**3 - 9\/2*c**2. Determine l(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*u**3 + 4045*u**2 + u - 2023*u**2 - 2018*u**2 in the form g*u + i*u**2 + y + k*u**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 10 = 6*t, 2*g = -3*t - 4. Let z(b) be the first derivative of -3*b**3 - b**2\/2 + b - 3. Give z(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -13.1. Let u = -0.159 + 8.259. Let k = 7.7 - u. Sort 5, b, 0, k in decreasing order.\nAnswer: 5, b, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -11*i - 1. Let j(l) = l + 1. Determine j(a) + m(a).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*g + 3916 = 301 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 442415711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -10. Suppose -n + 5 = g, g - 2*n = -t - 4. Solve i = -g*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -2 (b) -2\/11 (c) -0.028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**11*n**(-4\/9)*n)\/((n*n*n**(-3)\/n*n)\/n)**(-13) assuming n is positive.\nAnswer: n**(-130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 + 6. Suppose -20*x - 50 = -22*x. Let n be ((-3 - -3) + -15)*(-10)\/x. Let a(w) = -w**3 - 5. Calculate n*a(l) + 5*s(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89630 - -285325. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1575 (base 12) to base 15.\nAnswer: -b42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 9 = -s - 35, -2*s + 72 = 4*d. Calculate the remainder when 50 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5168 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -7. Let u = -1.6 - i. Sort -3, u, -2\/9 in descending order.\nAnswer: u, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**8\/48 - x**5\/3 + 8*x**2. Find the third derivative of p(f) wrt f.\nAnswer: 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-2 - (-1 + 3))) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 4 + 2 + 2 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063429 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 155 - 4?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(224) - 3*sqrt(224)*5)\/(sqrt(343)*5*4*-2).\nAnswer: 3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -690 (c) -480\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**9\/18 + g**7\/210 - 9*g**5\/20 - 20*g**2. What is the third derivative of k(a) wrt a?\nAnswer: 3360*a**3 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + y - 1. Let w be p(2). Suppose 0 = -w*o + 10. Let h be 161995\/(-15) + o\/(-6). Round h to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j*j*j*j**(-3\/7))**13*(j**7*(j**0*j)\/j)\/(j*j\/j**(-5)*j**8) assuming j is positive.\nAnswer: j**(-277\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 9 - 4, -5*d = -4*m - 260. Find the first derivative of 71 - 27*i + 18*i + d*i wrt i.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, r: 8}. What is prob of picking 1 r and 2 d?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35623 (base 8) to base 3.\nAnswer: -202220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + -7 + 10 + 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2072 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.11 - 12.11. Let d = -0.05 + 0.17. What is the third biggest value in c, d, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1400 (base 5) to base 3.\nAnswer: -22100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -15*y - 9. Let c be n(-3). What is the highest common factor of c and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360\/11 < 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.04, 3, -0.7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l - l**3 - l + 3 - 3*l. Let t(k) be the first derivative of -k**4\/4 + 5*k - 1. Calculate -10*j(d) + 6*t(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -4217\nAnswer: -5\/4217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.33 - 89.63. Let b = -2653 + 2568. Let w = j - b. Sort 1\/6, -2, w, -5 in ascending order.\nAnswer: -5, -2, w, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.70235551 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232112134 (base 5) in base 11?\nAnswer: -1771a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 2. Let j(f) = f**2 + f - 2. Let p be j(y). Suppose 0*u = -4*u + p. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1595 and 11484.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -21*k - 2. Let m(q) = 11*q + 1. Let v be ((-32)\/40 - 0)*-5. Calculate v*z(j) + 7*m(j).\nAnswer: -7*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -l - l + 2*i, -5*i = 10. Let b(d) = -4*d + 4 - 1 + 3*d - d + d**2. Let v be b(l). Solve -v*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -21 (b) 0.4 (c) 8\/3 (d) -2 (e) 0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - -0.265. Let w = m + 12.495. Let q = w + -12.914. What is q rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29407 + 5897. Round p to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 615451384 to the power of 1\/2, to the nearest integer?\nAnswer: 24808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.04, 8, -5.\nAnswer: -5, 0, 0.04, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/((-33)\/(-30)))\/(-1*2). Let m be (((-455)\/21)\/f)\/((-2)\/6). Which is bigger: m or 23\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.58 - 26. Let y = 0.38 - i. Which is the nearest to -1? (a) y (b) -2\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5869 = 6*o + 2915 + 3372 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - sqrt(176)*-2)\/(sqrt(64)*2).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -26918, -1\/2, 0.3, 3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10185)\/42)\/(14\/(-4) + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 - -797. What is the greatest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -10000001?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 672840884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1064)\/(-82460) - 4179\/(-465).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525 and 44310.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 5*r + 8. Let w be z(-2). Let s = 14 + -25. Let h(c) = -c + 8. Let y(i) be the first derivative of -i**2 + 15*i + 1. Give s*h(d) + w*y(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 816, 3288, 7406, 13170, 20580?\nAnswer: 29636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -569*b**3 - 20*b**2 + 6*b - 42. Let p(l) = 1138*l**3 + 42*l**2 - 12*l + 88. Calculate 21*h(j) + 10*p(j).\nAnswer: -569*j**3 + 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 7*i + 7. Let l(h) = -h**3 - 2*h**2 - 6*h + 6. Determine 6*g(z) - 7*l(z).\nAnswer: 7*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + k**2 + 0*k)*(-4*k + 8*k - 22*k)*(5 + 5 - 6) in the form c*k + l*k**3 + p + y*k**2 and give l.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h - 89. Calculate the remainder when 269 is divided by j(41).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -72199 or -1732795\/24?\nAnswer: -72199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12297 or -6766?\nAnswer: -12297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -233.22798 to the nearest integer.\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*v - y, -4*y = -v - 17. Let f(p) = 1 + v*p + 5 - 1 - 1. Let o(i) = i + 1. What is f(x) - 2*o(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = 2*g - 1, 4*j + 2*g = 8. Suppose -2*n = -5*n + 255. Suppose 7*z - j*z - n = 0. What is the remainder when z is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.4 - 20.45. Which is the third smallest value? (a) 4 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - n - 21 - 3*n + n.\nAnswer: -2*n - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2660069779.\nAnswer: 12049, 220771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42774292 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 625 + -618.45. Let m = -6.65 + f. Which is the smallest value? (a) m (b) -2\/15 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-132)\/(-315) - (-2)\/(-7). Let n = -3.06 - -0.06. Let q = -0.004 + 0.014. What is the second smallest value in q, j, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 21*x**3 + x**2 - 4*x - 1. Let t be -4*(-3 + (-35)\/(-20)). Is k(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*w - 4*z - 0*z, 0 = w + 2*z - 7. Let d(o) = o**3 + 3*o**2 - 4*o + 4. Let s(v) = -v**3 - 2*v**2 + 3*v - 3. Give w*d(k) + 4*s(k).\nAnswer: -k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + n + 6. Let g be z(3). Which is the nearest to 1? (a) -1\/3 (b) g (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 96\/(-51) + -2 + 4. Let g = 27 - 13. Let j be -2*1*35\/g. Put -0.5, c, j in increasing order.\nAnswer: j, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -a65?\nAnswer: -a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-52)\/6)\/(9 + (-336)\/36). Suppose m*a - 2186400000 = 50*a. Round a to the nearest 1000000.\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*z + 66*z + 24 = 0. Let o(t) = 13*t**3 + 17*t**2 - 23*t - 17. Let x(p) = 2*p**3 + 3*p**2 - 4*p - 3. Give z*o(c) + 34*x(c).\nAnswer: -10*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1695 times 0.58?\nAnswer: -0.09831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12450131 (base 6) in base 3?\nAnswer: 202212122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 338*p**4 - 9*p**3 + 591*p**2. Let u(w) = -w**4 + w**3 + w**2. Let m(a) = -9*u(a) - v(a). Find the third derivative of m(b) wrt b.\nAnswer: -7896*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28069? (a) -46 (b) -2\/17 (c) 0.1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -681 = 4*j - q, -4*j - q - 684 = -5*q. What is j rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/41 and 21\/19721?\nAnswer: 19721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/4 and -113\/364.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 41 = -5*v, -11 = -3*v + 4*v + 4*s. Let 3*t**3 + 21*t**2 - 9*t**4 - 13 + 0*t**4 - 3*t**v + 1 = 0. Calculate t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17908139 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -8*(-2)\/(2 + 2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 79. Suppose f + 20 = 3*p. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -26*c**5 - 2154*c**4 - 47560*c**3 - 121592*c**2 - 63360*c + 12800 = 0.\nAnswer: -40, -2, -1, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -5. Suppose w*y - 2*y = 12. Suppose 4*q + 2*x = 2*q + 38, q = -y*x + 27. Calculate the greatest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(-4*t - 7*t - 1 + 5*t).\nAnswer: 12*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 108, 197, 290, 387, 488, 593, 702?\n\"Answer: 2*q**2 + 83*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - 2*u**5 + 0*u + (0*u - 2*u + u)*(3*u**4 - 3*u**4 - 6*u**4).\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/36)\/(r\/r**(3\/4)*r)*r**9\/(r\/(r*r**(1\/7))*r*r) assuming r is positive.\nAnswer: r**(373\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 5*j. Let y be b(4). Suppose y*g - 2*g - 38 = 0. Calculate the highest common divisor of 76 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**4 + 0*b**4 + 32*b**3 - 65*b**3 + b - 2*b**2 in the form s*b**3 + o*b**4 + g + v*b + p*b**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.1323\nAnswer: 0.3969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-24))\/((-1)\/(-4)). List the prime factors of (-6)\/4*(-14)\/v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**17*k*k**(-7)*(k\/k**0*k)**(8\/13) assuming k is positive.\nAnswer: k**(159\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*r = 6*r + 428, 223 = 2*h + r. What is the greatest common divisor of 40 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 2:40 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 20*c**3 + 201*c**2 + 190*c + 9 = 0.\nAnswer: -9, -1, -1\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -20025 (c) 1 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2.7 times 20\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hipiipiphixiiix. Give prob of sequence ipx.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 143*u + 819. Let p be v(-6). Put p, 0, 2, -17, -4 in descending order.\nAnswer: 2, 0, p, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2. Let i(w) = -5439 + 0*w**2 - 5401 + 10979 - 3*w**2. What is i(c(p))?\nAnswer: -3*p**4 + 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from fwwwwwwwwfwfwffwwfw?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 64*t - 69*t + 28, l - t + 4 = 0. Is l less than 2\/1229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 153032 - -16?\nAnswer: 153050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294850356 divided by 6.\nAnswer: -49141726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 + 2*z**4 - 4*z**3)*(-2 + 0 + 3) - 2*z**4 + 6*z**4 - 3*z**4 + z**4 + 3*z**4 - 5*z**4 - 2182*z**4 + 2800*z**4 - 1655*z**4 - 1 - z**4 + 1.\nAnswer: -1036*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 150\/2 + (-1550)\/(258 - 208)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32448946.\nAnswer: 2, 16224473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-7 - -2 - ((-5 - 12) + 2))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1556.09 - -1556. What is the closest to l in 5, 3, -5\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71741 is divided by 1666.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -235060 divided by 23506\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 4. Suppose -s = 4*j - g, -2*j = -j + 3*g - 3. Suppose j*h + 46 = 2*h. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1210 + p - 1196 - 4889 - 19*p.\nAnswer: -18*p - 4875","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -159 + 163. Which is the third smallest value? (a) -4 (b) -2 (c) 0.1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-9) - (-24)\/270?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 22*g - 9. Determine t(9).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82 - 79. Suppose 2*p = 4*b - y*p + 244, b + p + 70 = 0. Does 12 divide 7794\/33 + 3*4\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k - 40 = 0. Let l = k + -13. Is (-1 + 0)*l*17 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137358 - 57193. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x + 15. Calculate t(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**4 - 1. Let m(s) = -5*s**4 - 2*s**2 - 10. Let j(h) = -4*g(h) + m(h). Differentiate j(i) with respect to i.\nAnswer: 12*i**3 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 168, 251, 334, 417, 500?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77785673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -10*g + 10. Let d be ((-2)\/(-5))\/((-1)\/(-5)). Let w(r) be the first derivative of r**2\/2 - r + 2. What is d*m(v) + 22*w(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b*l*v - 4*b*v**2 - 41*b*v - b - 2*l*v**2 - 2*l*v + 55*v**2 wrt b?\nAnswer: -3*l*v - 4*v**2 - 41*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20013247 + -322?\nAnswer: -20013571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1695\/420 + -12 + 7 + -1 and -71\/480.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-22) - (-1504)\/44. Find the first derivative of 23 - 74 - 14*d - z - 78 - 44 wrt d.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 619 and 26886884?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 604.03 to the nearest integer.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -3*i**7\/7 - 2*i**6\/5 - 661*i**4\/12 + 694*i. What is the third derivative of z(o) wrt o?\nAnswer: -1080*o**2 - 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 12:53 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 2*j**2 + j + 7. Let f be g(-4). Suppose v + 28 = 4*r, -v - 2*v + f = 5*r. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*p = -95 + 417, 5*z = 4*p - 808. Let g = 239 + z. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137\/8 - 17. Let l = -18315 + 18314.8. Which is the nearest to l? (a) s (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + b - 8 = 0, -2*n = -3*n + b - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 2 (c) 5 (d) -8160 (e) 19\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46150.086 rounded to the nearest 10?\nAnswer: 46150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45*(-132)\/54)\/(45\/(-18)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3\/2 - 33*m**2\/2 - 117*m\/2 - 135\/2 = 0. Calculate m.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.1 + -17901.\nAnswer: -17894.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 0)*(11 + 76)\/4263.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7486, 14505, 21524, 28543?\n\"Answer: 7019*d + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10.4 times -29.5\nAnswer: -306.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/7 + 86186*y - 10860084\/7 = 0. What is y?\nAnswer: -301669, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u - 30. Calculate t(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -4*c - 5. Let r be c + -2*1\/6. Let g = 0.1 - -0.1. Is g at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.01 + 0.01. Let l = 6 + a. Let w(u) = u**2 - 6*u - 5. Let g be w(6). What is the closest to -1\/4 in 4\/9, g, l?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*sqrt(2) + -1 + 2.\nAnswer: -10*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (11 - (12 + -6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -11. Let z = w - 4.5. Let s = z + 0.3. What is s rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57\/14 - -53\/42. Let g(s) be the third derivative of -10*s**2 + 0 - 2\/3*s**4 - 2\/15*s**5 + d*s**3 + 1\/30*s**6 + 0*s. Let g(a) = 0. Calculate a.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53379, 106751, 160123?\nAnswer: 213495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1\/11 (b) -0.035 (c) -0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2203*p = -21680 + 136236 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -480540 (base 10) to base 9.\nAnswer: -812153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/69? (a) -47 (b) -3.38 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 1137 = -5*r, -8 = -3*r - 5. What are the prime factors of j?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uddddyuyuyud. Give prob of sequence duy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 25*t + 7. Let o be h(4). Let c = 217\/2 - o. Solve 3\/2*f**4 + 0 + 3\/2*f - c*f**2 - 3\/2*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9750621?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -149 - -87. Let l = s - -67. Let w be 8\/3*(11 - l). Calculate the greatest common divisor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(8\/4 + 0). Let n be (4 - (2 - h)) + -3. What is the greatest common divisor of n and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 19, k: 1}. What is prob of sequence ww?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 0*h + 0*h**4 - 1\/60*h**5 - h**2 + 0*h**3 + 0. Let v(c) = c. Give v(l(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 8:09 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -86*2*(-265)\/10. Let b = 7629 + g. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116572540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58782427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:11 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 2*x + 4*x)*(-2*x**4 + 2*x**4 + 8*x**4) - 29*x**5 + 79*x**5 - 52*x**5 - 799*x**2.\nAnswer: 14*x**5 - 799*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61934227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 5*t**2 - 4*t + 2. Let y be (0\/1)\/(3 + -4). Suppose y = -9*c + 4*c + 10. Determine z(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -2. Let u(y) be the first derivative of -y**3\/3 - 2*y**2 - 4*y - 2532. Let p(m) = m + 1. Calculate o*u(j) - 6*p(j).\nAnswer: 2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 137168 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 35 = -3*u, 2*v = v - 10*u - 46. Let j(t) be the third derivative of -20*t**2 + 0 + 0*t + 1\/4*t**v + 0*t**3. Let x(i) = 2*i. Calculate j(x(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u - 23639 - 23716 = 0. Suppose -3*i = -3*t - 36, -20 = 6*t - t. Suppose 4*q = i*q + 3*p - 924, -5*q + 3*p = -u. Is 33 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12.72 times 4\nAnswer: -50.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 79963 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 4*s = 3*c + 44, 2*s = -3*c + 28. Calculate the remainder when 33 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 10 - 66)*(-3*a + 5*a + 0*a + (-5 + 2 + 1)*(-5*a - a + 2*a) - 2 + a + 2) + (0*a + a - 3*a)*(2 + 0 + 1).\nAnswer: -1150*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*n + 718*n = 72079 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*h**2 - 84*h**2 - 75*h**2 + 238*h**2 - 6*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126 + 107. Is -22 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 39, 71, 103, 135, 167, 199?\n\"Answer: 32*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2 (b) 28 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from {f: 3, m: 4, o: 1, z: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 93766962 to the power of 1\/2, to the nearest integer?\nAnswer: 9683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 2*o**2 + 4*o - 6. Let w(s) = -s**3 + 2*s**2 + 2*s - 1. Let y be w(3). Let i be x(y). Solve -5*z + 5 = 4*q, 0*q + 5*z - i = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/9 + -2)*212\/371?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2 - 26*c + 53. Let r(u) = u**2 - 6*u + 13. Let d(p) = -2*i(p) + 9*r(p). Is 7 a factor of d(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 371 + -2601\/7. Are -1 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1298 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-25))\/(217\/(-186)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 17 = -3*h, -6 = 2*c - 0*h - h. Let j(y) = -14*y - 12. Let d(v) = v + 1. Let u(p) = c*j(p) - 8*d(p). Is u(18) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 81 - (8\/(-16))\/(1\/(-6)). Calculate the highest common divisor of 18 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/3)\/(266\/779) and -2\/27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0118960157 to 6 dps.\nAnswer: -0.011896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 20 = -0*i. Suppose -d + i = -8. What is the remainder when 45 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1023311?\nAnswer: 1023310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-2 - 1)) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -25\/119, -2, 3, 0, 1, -3 in increasing order.\nAnswer: -3, -2, -25\/119, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -186*h - 863. Is d(-90) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -212 - -316. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**5\/4 + 5*z**4\/6 + 35*z**3\/6 + 10*z**2 + z + 35. Let x(v) = 0. Calculate v.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:13 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 43 + 9. Suppose 98 - g = -12*a. Let j(h) = -h**3 + h**2 - h - 1. Let u(w) = -6*w**2 + 5*w - 4. Let o(i) = j(i) + u(i). Determine o(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-3))\/3 + 5. Suppose -2*z + 224 = 5*s, t*s - 5*z + 4*z - 233 = 0. What is the remainder when s is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119.41 + -127.41. Let w = 0.3 - 1.3. What is the third biggest value in d, w, -0.02?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1, -1\/2642?\nAnswer: -1\/2642","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 14*r**2 + 536*r + 116. Let o be y(-38). Which is the third biggest value? (a) -2 (b) o (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/3542 and -9\/12782.\nAnswer: 293986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7021 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 6*b - 5*b + (2*b - 2*b + 2*b)*(5 + 2 - 5) + 2 - 2 - 2*b + b - 2*b - 2*b + (7*b - 3*b + 5*b + b)*(-45 + 26 + 32) to the form g*b + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2. Let f(n) be the first derivative of -994*n**2 + 2251. What is z(f(i))?\nAnswer: -3952144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11322 + 2210312?\nAnswer: 2222300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 24 - 24)*(7*y**2 + 13*y - 7*y - 5*y**2) + (2*y + 2*y**4 - 2*y)*(3*y - y - y) - 3*y**3 + y**5 + 3*y**3 + y**2 + 2*y**5 - y**2.\nAnswer: 9*y**5 + 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*g = -1124*g - 17340 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - 14. Let t = -505\/7 - f. Let y be ((-1)\/5)\/((-1)\/5). Which is the nearest to y? (a) 0 (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 23)*(4 - 3 - 3)*(-v + 6*v**2 + v).\nAnswer: -288*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27188, 27176, 27164, 27152, 27140?\nAnswer: 27128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 35*s - 770. Let j be n(22). Suppose -2*u + 5*y = 10, j = 2*u - y - 26 + 28. Factor u + 2\/3*q**4 + 4\/3*q**3 - 10\/3*q**2 - 4*q.\nAnswer: 2*q*(q - 2)*(q + 1)*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5cb (base 15) to base 7.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 767948907 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12330202 (base 4) in base 8?\nAnswer: 67442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2. Let n = -8 - -4. What is the second biggest value in j, n, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12 - 2147\/(-95)) + (-14)\/(1 + 1). Let x(b) be the second derivative of b**3 + 0 + 18*b + 1\/10*b**4 + o*b**2. Factor x(l).\nAnswer: 6*(l + 2)*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 45, -2, 0.5.\nAnswer: -2, -0.5, 0.5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 6*z - 25*z + 9*z - 3*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - (sqrt(180) + (sqrt(180) - (sqrt(180) - (sqrt(180) - sqrt(180)*-1)*-2)) + sqrt(180)))\/((sqrt(135)\/sqrt(3))\/sqrt(5)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52299092977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 11*u**2 + 4*u + 10. Let y be n(-10). Let g = -1299\/10 - y. Which is greater: g or -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*y + 58*y - 107*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 343484502 - 343484540.0000062. Let c = 48 + -86. Let o = c - r. What is o rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*a + 131994 = -2*b, 2*b = a - 132003. Round b to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -571 (c) 17 (d) 0.2 (e) -1.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 290 + -125. Let x be (-819)\/m + 7 + -2. Is x < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 - 4*k**2 - 52*k - 99. Let c be o(-2). Put 4, 7, c, -121 in descending order.\nAnswer: 7, c, 4, -121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 206\/(-14) + (-2)\/7. Let t be n\/((1 - -2)*-1). Solve -t*d + 1 = 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 3*m)*(-2*m + 2*m + 2*m) + (-667*m + 820*m + 1284*m + 397*m)*(-m - m + m) in the form q*m**2 + s + z*m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2)\/(-1)*29\/58.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -1104?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 478684.526 and -381628.\nAnswer: 97056.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2976534\nAnswer: -1\/1488267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97\/84 - -31\/12. Factor -r*f - 4\/7 + 2\/7*f**4 + 2\/7*f**3 - 6\/7*f**2.\nAnswer: 2*(f - 2)*(f + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 981\/75 - (81 + -68).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 + 10*m - 1. Suppose 4*v - 2*v = -8. Let z = v - -8. Suppose 5*l + 3 = -b, z*b - 2*l = -1 + 11. Let f(r) = r**2 + 2*r. Give b*d(x) - 11*f(x).\nAnswer: -x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-2))\/((-15)\/100). Let g be (-22)\/(-5) - (-4)\/b. Suppose -4*k = -4*x - 108, g*k - x + 2*x = 98. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6)*-1*-3. Suppose 3*t - 156 = -3*s, -i*t = s - 6*t - 42. Suppose -s + 2 = -2*f. Calculate the highest common divisor of 36 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = -5*v + 33, 5*l = 5*v + 140. Let u be l\/15 + 6\/45. Suppose -7*w + 215 = -u*w + 4*d, 4*w - 203 = 3*d. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 4*z**2 + 5*z - 6. Let t be a(4). Suppose 4*v = t - 6. Suppose -2*y + 3*s + s + 38 = 0, v*s = -2*y + 20. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1350 * -6847.3.\nAnswer: -9243855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 77160 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 6903520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 498 = y. Let u = 276 - y. Calculate the highest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/9 - 54802*j**2\/9 - 54800*j\/9.\nAnswer: -2*j*(j + 1)*(j + 27400)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 19*k. Let a(t) = -37*t. Determine 3*a(d) + 5*l(d).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4780584682?\nAnswer: 2, 2390292341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1301, -2600, -3831, -4964, -5969, -6816?\nAnswer: -7475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 i when four letters picked without replacement from {o: 10, i: 9}.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -13*v**2 + 297*v - 241. Calculate x(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -49. Suppose -92 = -4*l - r, -n*r + 68 = 4*l - 40. Suppose 2*c + l = 68. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 10 - 4. Let b be (-3 + -7)\/(-1) - 2. Calculate the smallest common multiple of c and 2 + (-3 - -1) + b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*(-29)\/145?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 374334 + -374326.0000096. Let k = -8 + i. Round k to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - y + 2. Let a be t(3). Suppose 5 - a = -3*b. Suppose 0 = l + 3*l - b. Solve -4*w = -4*v - l + 5, 0 = 3*w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 5. Let d = h + -11. Let o(x) = -3*x + 106. Let n be o(36). Which is the third smallest value? (a) -0.5 (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1937*x**2 - 1. Let r(p) = -4*p. Give o(r(l)).\nAnswer: 30992*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 634317 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216 divided by -9.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31315968*h**2*r**3 + 2*h**2*r + 2485*h**2 + 2673*h wrt r?\nAnswer: 187895808*h**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a + 51. Determine i(-10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 6. Let m be 3 + (0\/(-4))\/(-4) - -1. Suppose d + 21 = 4*y, 2*d + 26 = m*y - 0*d. What is u(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2974 - 17923\/6. What is the common denominator of j and (-245)\/(-5)*(-1)\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 6*a**2 - 2*a - 15. Let h be o(-6). Let z be 3 + (3 + 4 - h). Suppose 2*k - 3*k = -10. Solve -3*u = -l + z, -u - k = 5*l + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75190017 and 408174378.\nAnswer: 2857220646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1878465267?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 54 + (5 - (2 + (-12 - (-37 + 10))))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0.5, -2, -0.02?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 273\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.11 (b) 2 (c) -1\/10 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 6*g + 7. Let a be f(7). Suppose 2*y - 44 = 4*l - 2*l, 5*y - 111 = 4*l. Let j = y - a. Solve -2*q = q - j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/(m*m**(-2\/5))*m)\/m)\/m)\/m*m)\/(m\/(m\/m**(8\/5)))*m**3*m**9 assuming m is positive.\nAnswer: m**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-459)\/119*(-16170)\/7425?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99335 + 28487 = -1968*u for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:23 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1620*n - 10475. What is the thousands digit of f(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257943 - 58233 = -5609*u + 132434 - 11108 for u.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-1\/12)\/m))\/m)\/(m*m*m**33*m)*m**(7\/3)\/((m**(-1\/41)*m*m)\/m) assuming m is positive.\nAnswer: m**(-17003\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7793 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 12 = 4*n - y, -3*n + 10 = y. Which is the biggest value? (a) 5 (b) 0 (c) 0.2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 56 = 22*f. Solve m = 5*m + f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnrrnnn. Give prob of sequence rnrr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k**2 - 7*k + 2. Let u be (-2)\/(9\/6 + -1). Let w(o) = 5*o**2 + 4*o - 1. Let r(z) = u*n(z) - 7*w(z). Let r(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*y + 107*y - 122 = -f, -5*f - 5*y + 520 = 0. Sort f, 4, 21, 0 in decreasing order.\nAnswer: f, 21, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2782, -5053, -7336, -9637, -11962?\n\"Answer: -z**3 - 2264*z - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 12:29 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 - 14*o - 9. Let k(y) = y**2 - y. Let l(q) = j(q) - 4*k(q). Let f be l(-9). Factor 1\/3*b**2 + f*b - 1\/3.\nAnswer: (b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218224415 to the power of 1\/2, to the nearest integer?\nAnswer: 14772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o. Let j(v) = -5*v. Let w(q) = 6*h(q) - 7*j(q). Calculate w(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.069 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/9 + (26116\/12 - 1).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 22 = -q + 5*q, -5*b + b + 15927 - 15859 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + n - 4*n + 4*n + (-3 + 2 + 3)*(-3 - 2*n**2 + 3) - 1 - n**2 + 1 + 5*n**2 - 5*n**2 - 3*n**2 as c*n**2 + k*n + i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 equal to 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0823192 minutes to milliseconds.\nAnswer: 4939.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123\/451*220\/72?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -10*p - 60. Let i be s(-6). Suppose i = r + k - 31 + 13, -r + 22 = 5*k. Solve -q - 8 = y, 2*q - r = q + 4*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 15626*a + 31260.\nAnswer: -2*(a - 2)*(a + 7815)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + v + 107 + 12, -5*v = -o + 49. Let r be 120\/280 + 88\/7 + -1. Suppose -a - r = -o. What is the highest common factor of 81 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unn when three letters picked without replacement from nnfnmuutftnunn?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.6399993175 + -24.64. Round x to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*b**3 - 2*b**3 + 4*b**3 - 4*b**3.\nAnswer: 57*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22168656 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1655232067?\nAnswer: 43, 38493769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 289910390 to the nearest one million.\nAnswer: 290000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 655 = 749. Calculate the greatest common factor of 36 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2983596019.99999365 + 2983596156. Let s = t - 136. Round s to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63b58 - 5?\nAnswer: -63b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c**(-5\/3)\/c)**(-13\/4)*((c*c**4*c)\/c)\/(c*c*c**(4\/21)))**15 assuming c is positive.\nAnswer: c**(725\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -186821*r - 747286. What is b(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + k + 4, 57*h - 383*k + 193*k + 189*k = 56 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 + 225 - 225)*(-36 - 141 - 52)*(-6*l + 1 - 1)*(3 + l - 3) in the form f*l**2 + h + p*l + w*l**4 + b*l**3 and give w.\nAnswer: -1374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -17 - ((4 - -1) + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 + -54. Solve 22*j + i = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 30*t - 105. Let r be i(-18). Find v such that 2\/13*v**4 + 0*v + 0 - 6\/13*v**r + 4\/13*v**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5661 - -5?\nAnswer: 5666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -883885334711 - -4?\nAnswer: -883885334707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Solve -3 = -3*i - 15, 3*v - w*i = 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, -12\/7, 1\/9, 269?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1027, -3970, -8835, -15622, -24331?\n\"Answer: -961*m**2 - 60*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*f*s**3*v + 1224*b**3*f*v + 2*b**3*v - 8*b**2*f*v - 2*b**2 + 74*b*s**3*v - 4*f*s**3*v wrt b?\nAnswer: 6*f*s**3*v + 7344*f*v + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2, 0.211, 4, 1\/4, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 330.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o + 14*o + 29 = 0. What is the hundreds digit of (o\/1)\/(2\/6) - -121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00038709 to 5 decimal places.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 60. Suppose -n + n = -c*n. Suppose 14*y - 10*y - 120 = n. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-6*u + 5*u - 5*u)*(3*u - 4*u + 0*u).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 34, 74, 116, 160, 206, 254?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 7616 + 2344 = 0. Suppose 0 = 2*f - 2*h - 8068, -h + 4874 - r = f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) -2223 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 48518339 = 7978109. Let i = r - -235888. What is i rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3 - (-136)\/51. Let i be 51\/153 - (-35)\/r. Which is bigger: i or 141\/11?\nAnswer: 141\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b - 1. Let a be c(1). Let v(k) = -12 - 7 + 14 + 8*k + 0*k. What is the units digit of v(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94476 and 49656.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-1)\/(22\/143))*(-6084)\/(-78)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 + 19217864044\nAnswer: 19217864044.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-20)\/(-12)*(-4)\/(-10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.91 + -1.25. Let n = -3.1463 - x. What is n rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65011464, 130022938, 195034412?\nAnswer: 260045886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 17145177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**5*(v*v**(-23\/2))\/v*v assuming v is positive.\nAnswer: v**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(10)*1*-4)\/(sqrt(30)\/sqrt(24) + sqrt(5)) - (sqrt(5000) + -1 + 4 + 2).\nAnswer: -158*sqrt(2)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198410796.\nAnswer: 2, 3, 61, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0 (c) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2 - 9962*g - 24810361 = 0. Calculate g.\nAnswer: -4981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -8*x**2 + 43*x + 268. Calculate c(37).\nAnswer: -9093","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 3:09 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + (3 - -3) - (6 + -87) is divided by 65?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4015\/8 and -502 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16512 and 1920?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 904*r + 440*r + 455*r + 5.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 1\/120*l**6 + 0*l - 5\/6*l**3 - 1\/12*l**4 + 0 - l**2 + 1\/12*l**5. Suppose -3*u - 15 = -0*u. Give h(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 183 (c) 0.117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 - (-2 - 3). Solve u + g + 0 = r, u = g + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1290\/(-6450))\/((-2)\/((-4)\/(-5))).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, s: 15, l: 3}. Give prob of sequence ns.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 523, 1094, 1729, 2458, 3311?\nAnswer: 4318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - 2. Let k be (-95)\/n + 2\/(-4). Solve 0 = 5*l - k*l + 3*f - 12, 0 = 4*l + 5*f - 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 - 48. Suppose -a*s - 24*s = -540323. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 519*k**5 + 420*k**2 wrt k?\nAnswer: 31140*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1114*n**2 - 3*n + 3*n + 1024*n**2 - 1939*n**2.\nAnswer: 199*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*c + 1001, -3*s - 3*c + 7*c = -2955. Suppose -5*h = 4*y - s, -3*h + 0*h = 3*y - 744. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -860 + 1909. Is 40 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 961577*n*t*v**3 + 7*n*t - 2*n*v**3 - n + 9*t*v**3 + 29*t*v**2 + 6135*t - 2*v**3 wrt v?\nAnswer: 5769462*n*t - 12*n + 54*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*m - 21, -97*r + 96*r = 4*m + 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-427)\/(-2562))\/(1\/204*1)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -121*r**2 - 2*r - 1. Let u be y(-2). Let b = u + 2463\/5. Calculate the common denominator of ((-2550)\/12)\/5 + 1 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1 + 1 + 3*n**2 - 11*n**2. Suppose -3*q + 4 = -j + 1, 5*q - 5*j + 5 = 0. Let r(v) = 13*v**2 + 4*v**2 - 14*v**q. Give r(b(k)).\nAnswer: 192*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/888930 and 29\/2856.\nAnswer: 3555720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3028 (base 10) in base 12?\nAnswer: -1904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44.06002 - 0.02998. Let m = -42.744 - 1.256. Let y = l - m. What is y rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 9. Give g(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93*f**2*o**4 + 6743*f**2*o + 3*f**2 + 7*f + 1916*o**4 - 2*o**2 wrt o.\nAnswer: 2232*f**2*o + 45984*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 1. Let p be z(-3). Suppose 464 = 4*i - 4*t, p*i + 7*t - 253 = 2*t. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 3, -3 in decreasing order.\nAnswer: 44, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31359100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-13 - 13) + 2 + 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81573 - -63.14?\nAnswer: 81636.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*r - 6 = 0. Let y(i) = -10*i**2 - 12*i**r - 8 - 2*i + 13*i**3 + 8*i. Is y(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2568.7938 months?\nAnswer: 0.21406615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.95 (b) 5 (c) -0.4 (d) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -230 + 230.7. Let l = 11 - 7. Which is the second biggest value? (a) l (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 o when three letters picked without replacement from {v: 6, o: 12}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 51\/4 of a micrometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1840 and -53\/361560.\nAnswer: 723120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2 + v + 0*v**2 - 4*v - 6*v**2. Let g be c(-2). Let l be -7 + (6 - (-171)\/152). Put l, g, -1 in descending order.\nAnswer: l, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 972 and 375423336.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91 - 32) + -51 + (-2 + 2 - 30).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302040344 (base 5) in base 8?\nAnswer: 4462734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -291 (b) 2\/5 (c) 0.255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -224*m + 2727. Let l(w) = 199*w - 2726. Calculate -8*f(v) - 9*l(v).\nAnswer: v + 2718","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 6:22 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 5*j - 138 + 147, 0 = -r + j + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115 - -200. Suppose -15 = 5*q - t. Let y = q - 9. Which is the closest to -1? (a) 0.3 (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39941 divided by 235.\nAnswer: -39941\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/10*5\/20*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-124))\/((-684)\/(-2451)*43)\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 6:05 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-3))\/(m**(-2\/5)*m))\/(m*(m**6\/m)\/m*m\/m**(3\/8)))**(-1\/14))**(5\/2) assuming m is positive.\nAnswer: m**(89\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16638? (a) -2 (b) 1.9 (c) -1.1 (d) 1\/3 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -833*y + 837*y - 3*i + 19 = 0, 0 = 4*y + 2*i - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 = -0*v, -b - 5*v = -133. Let o = -592\/5 + b. Suppose -12*z = 14 + 10. What is the third smallest value in -2\/11, o, -1\/4, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -51*s**2. Let p(f) = -9*f**2 + 4*f - 4. Let v(i) = 20*i**2 - 9*i + 9. Let t(n) = -9*p(n) - 4*v(n). Give t(o(a)).\nAnswer: 2601*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -5*v + 13, -v + 40*x = 36*x + 4 + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1483932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1553897100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 627 - 512. Suppose 120 = 119*k - a*k. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*8\/(-4 + 12). Factor l*p**2 + 0 + 10*p - 5\/2*p**3.\nAnswer: -5*p*(p - 2)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.048195 nanometers in micrometers?\nAnswer: 0.004048195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 360628 to the power of 1\/2, to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k**(-1\/2))\/(k**7)**(8\/13) assuming k is positive.\nAnswer: k**(-255\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 4*l + 3. Let u(t) = -t**2 + 10*t + 3. Let m(s) = -5*s - 1. Suppose -b + 5 = -2*b. Let o(x) = b*m(x) - 3*u(x). Determine -5*i(f) - 4*o(f).\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + q - 5 + 5 - q + (1 + 0 + 1)*(3*q + q - 2*q) + 5*q - q - q - 67*q - 71*q + 95*q as m + p*q and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 14*n - 14. Let d be s(15). Suppose 3*y - 3*r = -r - d, 3*y + 4*r - 11 = 0. Solve f = -0*f + y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n**2 + 40*n + 1253. Let l(t) = 16*t**2 + 40*t + 1253. Let c(w) = 5*l(w) - 6*y(w). What is the first derivative of c(q) wrt q?\nAnswer: 16*q - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u**2 - u + 1. Let r be 2 + 4\/(-12)*3. Let g be z(r). Solve -5*f + 4*j = -4*f - 12, -f + 2*j + g = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98035, -195913, -293793, -391675?\nAnswer: -489559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2670 = -5*h, -3*h = -6*h + 5*n + 1636. Put h, -0.2, -2\/7 in decreasing order.\nAnswer: h, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7712448 divided by 80338.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(66\/440 - (-10890)\/(-600))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011 - 111201101210?\nAnswer: -111201110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccgggccggg. What is prob of picking 2 g?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from eeuusupeeeugeuuuege.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 126212343.59 to the nearest 10000.\nAnswer: 126210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 104*h**2 - 1961*h + 81672. Determine i(49).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*-1*4\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 - (13 + (5 - 5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 8) in base 10?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 118*q**2 - 10*q + 67. Let c(w) = -59*w**2 + 5*w - 33. Let h(r) = -5*c(r) - 2*d(r). Is h(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*h - 6. Let o = 2 - h. Solve o*g + 16 = -0*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 23 - 6. Let u = 88 - f. What are the prime factors of u?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**4 - 253*p**3 - p**2 - 57*p + 471406.\nAnswer: 12*p**3 - 759*p**2 - 2*p - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 482*z + 379. Is o(5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*t**2 + 15*d*t - 11096012*d + t**2 - 74535*t wrt t.\nAnswer: 2*d*t + 15*d + 2*t - 74535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:31 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(847) - (sqrt(847) + 1)))**2 + sqrt(700) + 1*sqrt(700) + sqrt(700) + sqrt(567)*2.\nAnswer: 9 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/11 (b) 5 (c) 0.01 (d) -887\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 9 + 7)*(-2 + 2 + 2*x)*(2*x - 2 + 2) in the form n*x + s*x**2 + d and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 645 = -2*p + 4*v, v = -5. What is the lowest common multiple of 35 and p?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (3 - 5) - -1. Suppose 6*g = q*g. Suppose p - 14 = -g*p. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvitahtwa. What is prob of picking 2 t, 1 w, and 1 h?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737 at most 8678\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, x: 1, r: 1, z: 1}. What is prob of sequence xz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -27. Let a(x) = 19*x**2 - 3*x. Let s be a(y). Round s to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 48*k - 52*k - 24, 0 = -j + 5*k + 30. Suppose 1\/7*i**3 + j*i**2 - i + 6\/7 = 0. Calculate i.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 9*l - 1\/20*l**5 + 1\/30*l**6 - 4*l**2 + 0*l**3 + 0 - 1\/35*l**7 + 0*l**4. Find the third derivative of a(v) wrt v.\nAnswer: -144*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -403175718386?\nAnswer: 403175718381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.8 in 0.4, -1\/5, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*i - 8*i. Let o = -6 + i. Let d(s) = 2*s + 15. Let w be d(-6). Solve o*f - 8 = u, 3 = -f + w*u + u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**2 - 5109*z + 5106 = 0.\nAnswer: 1, 1702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 14. Let v(x) = x**2 + x**j - 1 + 3*x**2 - 4*x**2. Determine v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-13)*208\/496?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -507221 + -8?\nAnswer: -507230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1230 and 492.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 7*n**2 + 4*n. Let w be s(-5). Let d be 0 + 0\/(-3) + w. Calculate the greatest common factor of d and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0)*((-3)\/3)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 13. Let p be i(9). Suppose -s = -2*k + 3879, 2*k + p*s - 3876 = 3*s. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -162027887*p**4 + 125753702 with respect to p.\nAnswer: -648111548*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40669197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.46 + 0.14. Let v = z + -2.59999947. Round v to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 642*b**2*f*j*r**2 + 2*b**2*f*r - b*f*j + 2*b*f*r - 2*b*j*r + 2*f*j*r**2 + 2*j*r**2 wrt b?\nAnswer: 1284*f*j*r**2 + 4*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**3 + 3*h**2 + h. Let s = 1002 - 1005. Suppose 28 = -5*n - 12. Let b(y) = -14*y**3 - 8*y**2 - 3*y. Give n*u(c) + s*b(c).\nAnswer: 2*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 12, v: 6}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-9)*((-1584)\/55)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -62113.2 to the nearest 1000.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbbzybmzbv. Give prob of picking 1 b and 1 z.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.841 to one dp.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 8, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -1\/14*y**3 - 1\/28*y**4 + 3\/140*y**5 - 11*y + 3\/14*y**2 + 0. Factor x(d).\nAnswer: 3*(d - 1)**2*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 431, 654, 883?\nAnswer: 1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -5*s**2\/2 + 38. Let z(b) = -17*b. What is j(z(m))?\nAnswer: 85*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -28, -58, -3, 0.3 in descending order.\nAnswer: 1, 0.3, -3, -28, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4103 - 9158 - 5744)*(2 + 3 - s - 7) to the form r + t*s and give t.\nAnswer: 19005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 1. Let l(g) = 4*g**3 - 46*g**2 + 3*g + 2. Let p(c) = l(c) - 2*y(c). What is the third derivative of p(r) wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u - 13 - 2*u + 10. What is l(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z + 17. Let t be o(7). Let y be (0 + 1)*(3 - (4 + 2)). Suppose -p + 14 = 3*b - 7*b, -p - b = 1. Sort t, y, p in increasing order.\nAnswer: t, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 14 = -0*u + 4*o, 3*u - 11 = -4*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1285100 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 376 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75373 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-371 - -376)*(1 + 41)*50\/(-125)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(153)*-2)**2 - sqrt(34)\/(sqrt(8) - (sqrt(200) - sqrt(8)) - sqrt(2)).\nAnswer: sqrt(17)\/7 + 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 7*c - 36. Let q be (-69 + c)*5\/10. Let d be ((11\/q)\/(2\/9))\/2. Put 8, d, 1\/2 in increasing order.\nAnswer: d, 1\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 16*m + 21. What is t(18)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 61. Let h be l(-19). Let v = 31 + h. Which is smaller: v or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(12\/(-9)) - -3. Suppose -3*w + 37 - 7 = c. Calculate the lowest common multiple of 5 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -432\/1463 + 2\/209. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395.9635ng to tonnes.\nAnswer: 0.0000000000003959635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13465.596 rounded to the nearest integer?\nAnswer: 13466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10, 9, 12, 25, 54?\n\"Answer: q**3 - 4*q**2 + 4*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/(-15))\/(2286\/19050)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69155*x - 501878 wrt x.\nAnswer: 69155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/(-240))\/((-6)\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2241.86, 1 in ascending order.\nAnswer: 0.2, 1, 2241.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 1\/20*p**4 - 1\/10*p**3 + p + 0 + 1\/10*p**2 - 1\/100*p**5. Factor s(d).\nAnswer: -(d - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/1535 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-4)\/(-10))\/((-28)\/(-10))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324944 is divided by 88?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, a: 4, y: 1, q: 1, z: 3}. Give prob of picking 2 a and 1 x.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1223 (base 4) to base 6\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s - 3477 + 3043 = 0 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2\/2 + 192095601*x - 12300239974517067\/2 = 0. What is x?\nAnswer: 64031867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9978 is divided by 454?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n. Let a = 34 - 32. Let q(p) be the first derivative of -11 + 10 - 9 + p**a - 1. Determine q(x(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 7. Let z be n(-5). Suppose z*b - 140 = -4*b. What is the highest common factor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -13*v + 24. Let y(s) = -15*s + 23. Calculate 6*y(p) - 7*z(p).\nAnswer: p - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*(-1*sqrt(108))\/sqrt(9))\/((sqrt(6) + sqrt(30)\/sqrt(5))*-2 - (sqrt(6) - sqrt(66)\/(sqrt(22)\/sqrt(2)))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -36 and 1290524 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 15*q = 1, -1295 = 4*w - q - 1328 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3 + 7496*t**2 - 723286*t - 3803580 = 0.\nAnswer: -3842, -5, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*(-3 + (sqrt(275) + -2)*-4 + 5)*5)**2.\nAnswer: -90000*sqrt(11) + 1012501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12761 or -12792?\nAnswer: -12761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m - 16. Let j = 5 + 2. Let i be a(j). Suppose i*g = 6*g. Solve 2*z - 4*z - 4 = g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-2)\/6) - -48. Suppose v*m - 47*m = 0. Sort -6, m, 4 in descending order.\nAnswer: 4, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*-6*(-20)\/195.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1961\/689 + (-4)\/(-26))*(-30)\/9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1800 - -178204\/99. Is w greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3244120 - 222?\nAnswer: 3243343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -20373094.12427?\nAnswer: 20373098.12427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(-49)*3\/27.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m**4 + 240*m**3 - 148*m**2 + 24*m = 0.\nAnswer: 0, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*j + 5 = 1, 2*y = -j + 16. Solve 0 = y*x - 9*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 269 times -447\nAnswer: -120243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 1256*b**2 - 2 + 1232*b**2 - 6 - 2562*b**2.\nAnswer: -74*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -186*y - 169*y - 3550 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -80*g - 55. Let o be -3*(-274)\/(-15) + 9\/(-45). Let s(k) = 3*k + 2. What is o*s(x) - 2*f(x)?\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 6. Suppose -2*b - k = -25. Calculate the remainder when 21 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**2 - 49126740*g + 49126736 = 0 for g.\nAnswer: 1, 12281684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, l: 16}. Give prob of sequence lllz.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r. Let f(g) = -12242970*g**2 - 2. Give u(f(o)).\nAnswer: -61214850*o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 7*v**2 + 26*v - 32. Calculate h(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -251578518 and -5?\nAnswer: 251578513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*c = 32 + 89, 3*y - 216 = -4*c. Solve -y = -d - 74 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 6, 10?\n\"Answer: 4*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*n**2*y**4 - 28*n**2 + 212*n*y**3 - 2*n*y**2 + n*y + 8*n + 6*y**4 + 3836*y**2 wrt y.\nAnswer: -192*n**2*y + 1272*n + 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3*k - 30, 5*z + 3*k - 30 = -k. Let g be ((-20)\/8 - -3)*0. Let p(n) = g + 7 - 8*n + n**2 + n. Determine p(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p, 4*h - 2*h = 2*p + 6. Let b(g) = -g - 4. Let x be b(h). Let y be (0 - -4) + x - -570003. What is y rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-10)*(63\/42 - 3). Which is bigger: 0.4 or z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 583*f**4\/4 - 253*f - 639. What is the first derivative of n(u) wrt u?\nAnswer: 1749*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18205?\nAnswer: 5, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -1\/2, -0.08, 3\/7, -1.639, 0.2?\nAnswer: -1.639","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 2*m + 2)*(-2089029*m + m**2 + 2089029*m - 10*m**3).\nAnswer: -20*m**4 + 32*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3139363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-34)\/3*(3102\/(-12) + -16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 74?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + -3.6. Let u = -1 - -5. Sort -0.1, j, u.\nAnswer: j, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.22 - -0.22. Let u = -0.38 - -0.08. Let w = -16 - -17. Sort u, w, q in descending order.\nAnswer: w, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/7))**(-1\/55)*((d\/(d**(5\/3)\/d))\/d)\/(d*d**(1\/14)))**(-1\/76))**(-35) assuming d is positive.\nAnswer: d**(-4027\/5016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 48\/5 of a meter?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 316 - 109. What is the remainder when t is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 103*z + 2400. Give s(-38).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l + 1985 = 0. Let g(n) = -n**2 - 397 + l. Let m(f) = 4*f + 1. Determine g(m(t)).\nAnswer: -16*t**2 - 8*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-105 + (-65 - -142)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -5\/18 (b) -69 (c) -5\/6 (d) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 98, 170, 242?\n\"Answer: 72*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-2*l**2 + 5*l**2 - l**2)*(4*l**3 - l**3 - 2*l**3 + (-3*l - l + l)*(-2*l**2 + l**2 + 4*l**2)).\nAnswer: -16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - a**2 + a + 2. Let s be l(0). Suppose 281 = 5*t + 2*y, -s*y - 3*y = 2*t - 104. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 143\/2 + 2\/(-4). Let c(o) = -15 - 21*o - 21*o + l*o. What is the units digit of c(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4033*v + 507. Is d(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 54992, 219898, 494728, 879476, 1374136, 1978702, 2693168, 3517528?\n\"Answer: -t**3 + 54968*t**2 + 9*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1052 (base 8) to base 15\nAnswer: 26e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*p - 38, 2*u - 5 = p + 11. Let l be (-1)\/(p\/4 - -2). Suppose 2*j - 2*z - 17 = -5*z, -4*z + 16 = j. Solve -f - l = -j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = -3*s + 93, 0 = 5*s - 3*w - 161. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 + -23)*-10*((-648)\/(-15))\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 230050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21752112 divided by -1279536?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 + 1957.8?\nAnswer: 1783.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 43.775868 times -0.07\nAnswer: -3.06431076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 1, z: 1, y: 1, l: 1}. What is prob of picking 1 y and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.2, 44, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-56) - 416\/14. Let u = 45 + b. Solve -h - 2*h - u = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 - -2.7. Let t = 3 + -2.8. Let l be 4\/9*(-12)\/(-8). What is the smallest value in p, t, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 294 - 1470 = -2*i, -4*i = 0. Suppose 386*q = 379*q + o. What is the highest common divisor of 105 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4 + 68*v**3 - 800*v**2 + 3648*v - 4608 = 0. Calculate v.\nAnswer: 2, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/6*(-2)\/9.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0673162 rounded to 3 decimal places?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*133299.\nAnswer: 26659.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(567)))**2.\nAnswer: 162*sqrt(7) + 5112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 64.3. Let v = -27.95 - -27. Let q = v + -0.05. Which is the smallest value? (a) 3 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.977 + -3.917. Sort n, -0.1, 6.6 in increasing order.\nAnswer: -0.1, n, 6.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11)*k**(-1)*(k*(k\/((k**(-4)\/k)\/k*k))\/k*k)**(-14))**(-42) assuming k is positive.\nAnswer: k**4620","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eqqqeqeeeq.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 395329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3370 and 4670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5266787.\nAnswer: 17, 309811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 64918*v**2 + 227. Let k(w) = -w. What is y(k(m))?\nAnswer: 64918*m**2 + 227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50680 and 560.\nAnswer: 101360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2980.6 + -2921. What is i rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 4*h**2 + 3*h - 4. Let b = -91 + 93. Let j be n(b). Solve 5 = -g, m + 4*g = -m - j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -33\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeh. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 102221 (base 3) to base 11\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1818.6 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 5. Let i = -12 + 7. Let z be r(i). Let d = -6 - -8. Solve d*w + 6 = -z*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1588 + 15158*w - 16786*w - 3980 wrt w?\nAnswer: -1628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (3 - -1 - (-121 - -133))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(3 - 3 + 2*k) - 4*k - k + 6*k - k + 8 - 7 + 2.\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/13, -1\/9, -12, -2\/19, -0.4 in descending order.\nAnswer: -2\/19, -1\/9, -0.4, -6\/13, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -19*o**2 + 59*o + 59. What is h(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -520 - -522. Let f(h) = -24*h**3 + 7 - 6*h**g + 21*h**3 + 4*h**3 - 6*h. Calculate f(5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(19) + 1 + sqrt(19)) - sqrt(209)\/sqrt(1584)) + (sqrt(209)*1*-2)\/(sqrt(99)\/(sqrt(18)\/sqrt(2))).\nAnswer: -sqrt(19)\/12 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6054 - 1060*j**3 + 6054 - 2617*j**3.\nAnswer: -3677*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.036 and 354312.\nAnswer: 721379.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c - 17*c = 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(11) + sqrt(22)\/sqrt(2) + -5) - sqrt(11) - (sqrt(352)\/sqrt(2) + sqrt(11))) + 1*6*(1*sqrt(132) - sqrt(132))\/sqrt(12))**2.\nAnswer: -70*sqrt(11) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -836 - -2935. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2. Let y(u) be the second derivative of u**4\/24 - 24*u**3 - 75*u**2\/2 - u + 25. Let r(m) be the first derivative of y(m). What is i(r(p))?\nAnswer: 2*p**2 - 576*p + 41472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = 0, 2*u + 4*g = g - 5. What is the second biggest value in -3, u, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 22744\nAnswer: -22749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(1 + sqrt(7)) + (-2 + sqrt(448) + (-2*sqrt(448))**2 - sqrt(448) - sqrt(448)).\nAnswer: -2*sqrt(7) + 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 21. Is z - (4\/2 + -538) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 3)\/(4\/(-4)). What is the third biggest value in -2\/27, g, -0.5, 3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/(-135)*(10 - 906\/90) and -48\/85.\nAnswer: 6885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, c: 8}. Give prob of picking 3 c.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1087989, -1087987, -1087985, -1087983?\n\"Answer: 2*p - 1087991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**5 + 12*p**4 - 1265025*p**3 - 40*p**2 - 143953*p - 1 wrt p?\nAnswer: 120*p**2 + 288*p - 7590150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/8 in 158, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 1, m: 1, o: 1, b: 1}. Give prob of sequence mo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 22*x. Let c(i) be the first derivative of i**2 + 48. Determine t(c(f)).\nAnswer: 44*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/11 - 156*s**4\/11 + 4156*s**3\/11 - 42088*s**2\/11 + 9222*s + 37004 = 0. What is s?\nAnswer: -2, 11, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44302492 and 10223652?\nAnswer: 132907476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (18 + 33) - (8 + -14)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.82 + -3.6. Let q = d + -1.22. What is the third biggest value in 2, 4, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**4\/4 + g**3 + 7*g**2\/2 - 6*g + 13. Let s be p(4). What is the highest common divisor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1404.43 rounded to the nearest ten?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6661136 and 13022.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8699776759274 + 5.\nAnswer: 8699776759279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = x + 2, 21*x - 16*x - 6 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*t + 0 + 8 = 0, -10 = 5*i - 4*t. Let x be i\/4 - (-21)\/6. Suppose -76 = -x*u - u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.3. Let v = -487\/1071 + 4\/153. Sort v, -0.15, d, 2\/5 in increasing order.\nAnswer: v, d, -0.15, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -29\/4, -0.5865, -4 in descending order.\nAnswer: 0.1, -0.5865, -4, -29\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 10:35 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a + 2. Let g(f) = -7*f + 5. Let p(s) = -g(s) + 2*j(s). Let k be (-9)\/(-12) - (-3)\/12. Determine p(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1197*o - 8. Give n(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2036? (a) -0.3 (b) 0.5 (c) -4 (d) 1\/9 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 372515129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/11, -5, 0.4 in descending order.\nAnswer: 18\/11, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352432 is divided by 115264?\nAnswer: 6640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -4*z - 5*o, 2 = 5*z + 24*o - 26*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.26 - -0.7. Let y = v + -0.4. Which is the second biggest value? (a) 2\/5 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -4, 8, 0, 1 in decreasing order.\nAnswer: 30, 8, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-936)\/91*49*(-36)\/(-9450)*25.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*-98\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(243\/(-18)))\/((-237)\/12798).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 360810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 1. Let x(k) = -k**2 + 13*k - 1. Give -w(p) - x(p).\nAnswer: p**2 - 14*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*b - 23, -b + 3 + 1 = 3*h. Suppose -c - 171 = p, -3*p + 4*c = -28 + 527. Let d = p - -190. What is the greatest common divisor of h and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -h, 5 = 2*h + 5*a - 1. Let z be (-2 + 2)\/(h - -4). Suppose -c - u + 1 + 8 = z, -4*c + 2*u = -66. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -730, -3, 0 in increasing order.\nAnswer: -730, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -158935 at most as big as -158926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 71\/9*p**3 + 96 - p + 17\/3*p**4 + 2\/3*p**2. Factor i(v).\nAnswer: 2*(3*v + 2)*(34*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8729*s - 2979*s - 5 - 2920*s - 3413*s in the form d*s + p and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 57778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/18 and 19\/11.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/4)\/(1*5\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -13*r + 6440. List the prime factors of r.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174 (base 12) to base 3\nAnswer: 22121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**3\/7 - 2104*m**2 - 812860*m\/7 - 329448 = 0. Calculate m.\nAnswer: -3626, -53, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6306521, -6306525, -6306531, -6306539, -6306549, -6306561?\nAnswer: -6306575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/80*10)\/(1\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-282)\/((-63)\/(-36)*(-12)\/9). Is r less than 120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 9:20 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2211)\/(-7) + 11\/77 + -3?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 73525380*c**3 - 2*c - c.\nAnswer: -73525380*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u - 412 = -135*u. Solve 2*c - 7 = -5*g, u*c = 2*g - 26 + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 2101*j - 2101*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 2*z + 2. Suppose -5*n + 15 = 5*x, -3*x - 50 = -8*x + 2*n. What is the remainder when q(6) is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1111.658 decades?\nAnswer: 11116.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1 - 11*l + 12*l - 5*l + 12 - 12 + 26 - 26 - 16*l + (3*l - 12 + 12)*(-1 + 1 - 1) + 3*l - 4*l + 0*l in the form z*l + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 761220.\nAnswer: 1522440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7323 + -7300. Suppose -3*l = -g + 4*g - 531, 2*g - 2*l = 370. What is the remainder when g is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8220108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41200 divided by 100.\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**5\/2 + 2110*x**4 - 20975*x**3\/2.\nAnswer: -5*x**3*(x - 839)*(x - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6284154 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 62, 91?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5952 - -5953. Which is the biggest value? (a) -77 (b) -19 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + -6*(sqrt(242) - (1 + sqrt(242)))*-2 + (sqrt(242)*2 - sqrt(242)) + -2 + 0 + 1 + sqrt(242) + 4)**2.\nAnswer: -4068 + 1232*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Solve -4*k = -w*x - 8, k - x = 4*x + 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d + 12. Let n(b) = -b**2 + 3*b + 2. Let x be n(4). Let i be j(x). What is the highest common divisor of i and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430 - 444544*f + 1592 + 444541*f.\nAnswer: -3*f + 2022","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 364865?\nAnswer: 364860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2489021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1904*j + 2. Let c(q) = -5657*q**2. What is m(c(r))?\nAnswer: 10770928*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6673*g**2*o**4 - 214*g**2*o + g**2 + 288*g*o**6 - 3*g*o - 2*o**2 - 51*o wrt o.\nAnswer: -160152*g**2*o + 34560*g*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196, -363, -532, -703, -876, -1051?\nAnswer: -1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*n**3\/7 + 26*n**2\/7 + 8*n\/7 = 0. What is n?\nAnswer: -4, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153204 + -30?\nAnswer: 153134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -15 + 1 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 720278.\nAnswer: 3601390","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 3250627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 477522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 323033, 323028, 323025, 323024, 323025?\n\"Answer: f**2 - 8*f + 323040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86441, 172879, 259317, 345755?\nAnswer: 432193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2514 + 1258 + 1256 + 7254*l**2 in the form j*l + n*l**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 280357 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 2*j + 22 + 2, 48 = -4*j - 2*b + 7*b for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1512761?\nAnswer: 19, 103, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 9*j - 6. Let o be l(8). Suppose 0 = -o*s + 3*s - 2*k + 1, 0 = -s + k - 5. Let f = s - -24. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(616)*-2*-4)\/(sqrt(88)\/(-1*sqrt(8))))\/((sqrt(2048) + -4*sqrt(2048) + sqrt(2048))*6).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -95b6 (base 12) to base 15\nAnswer: -4ce0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 292004 + 183084 = 16*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2264 and 344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**6\/120 - n**5\/12 + n**4\/8 - 2*n**3 - 64*n**2. Let r be i(5). Solve 4*v - v + 8 = -2*y, 4*y + 4 = -r*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u. Let z(i) = i - 66330. Determine x(z(d)).\nAnswer: -d + 66330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -184 + 200. Let s be ((-60)\/m)\/((-70)\/200). Factor -30\/7*f - 3\/7*f**2 - s.\nAnswer: -3*(f + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 973755, 1947450, 2921103, 3894714, 4868283, 5841810, 6815295?\nAnswer: 7788738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (52 - 56 - 3*y**3 + 6*y**3 + 10*y - 4*y**3)*(39*y + 3*y - 5*y) as r*y**3 + z + h*y**2 + m*y**4 + l*y and give h.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2352 divided by -784.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -194*z**5 - z**4 + 14799*z**3 + 130538*z**2 + 78*z.\nAnswer: -11640*z**2 - 24*z + 88794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 15 = 2*o, c = -1 - 4. Let t(k) = k**2. Let s(z) = -6*z**2 + 5. Let y(i) = o*t(i) + s(i). Determine y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from kykyul.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 229, 223, 217, 211?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5142695*l**3 - 37241*l**2 - 70*l.\nAnswer: -30856170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -23, -52, -83, -110, -127?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6858272339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 - 2*j**3 + 2*j**3 + (2*j - 2 + 2)*(-4*j**2 + 4*j**2 - 2*j**2) - j**3 + 3*j**3 + 0*j**3 + j**3 - 3*j**2 + 3*j**2 + 339*j**3 - 301*j**3 + 264*j**3.\nAnswer: 303*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22717 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*k*m + 622951*k - 63687*m wrt m?\nAnswer: -19*k - 63687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -8. Let s be 18\/(-27) + d\/(-3). Let h = 19 + s. Calculate the remainder when 34 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 1. Let x(w) = -79*w**2 + 18*w**2 + 3 + 6*w - 14*w**2. Let n(b) = 4*o(b) - x(b). Is n(1) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/468*13)\/(2\/(-8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -20, -6, 12?\n\"Answer: 2*m**2 + 4*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2383689, -2383687, -2383685, -2383683, -2383681?\nAnswer: -2383679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p - 78. What is j(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((24\/96)\/(3\/(-12)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(160)*2 - sqrt(160)) - -1*sqrt(160)*2)\/(sqrt(10)\/sqrt(2)*5 - (sqrt(25)\/sqrt(80) + sqrt(5)))*3)**2.\nAnswer: 4608\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30.5 and -178677539585.\nAnswer: -178677539554.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -473 + 791. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633360 a multiple of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -41.2?\nAnswer: -36.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 12) to base 15.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 10*p**2 + 8*p - 2. Let g(u) = 7. Let j(m) = 8. Let n(h) = 7*g(h) - 6*j(h). Let v(x) = -4*n(x) + t(x). Determine v(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 12:33 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 6:17 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u = 4*l - 34*u + 40, 2*l - 2*u = 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1268, -2538, -3806, -5072, -6336, -7598?\nAnswer: -8858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -34*p - 52. Suppose -z - 1 = -6. Put -1, p, z in ascending order.\nAnswer: p, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -69*u + 1103. Calculate d(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -2 + (-5 - -2). Let c(h) = -h + 15. Let k be c(x). Suppose 5*v - k = 115. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26136532.\nAnswer: 2, 6534133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1094082, -1094071, -1094060, -1094049, -1094038?\n\"Answer: 11*k - 1094093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*g*n + 2*g*u - 2*g + n**3*u - 901*n**2*u - 16373*u wrt n.\nAnswer: -6*g + 3*n**2*u - 1802*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 93437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) -0.03 (c) 10.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(6\/(-2) + 2). Suppose 2*x + 0 - w = 0. Suppose 2 = z + 6, -2*z = -3*a + 14. Which is bigger: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 2*r**3 + 24*r**2 - 18*r - 135.\nAnswer: -(r - 5)*(r - 3)*(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 675829 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4875*a - 484. Is j(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 151, 150, 149?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -20, -4*k + 197 - 189 = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57039 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1111983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 2218126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.33 - 0.43. Let y = b + 2.5. Round y to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 11990?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 569*c**3 - 7*c**2 + 7*c**2.\nAnswer: 569*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 17, -51, -1\/6, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 f when four letters picked without replacement from aaaaffaaafa.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 2*v + 3. Let u be s(-3). Differentiate -x - 2 + x - 3*x + u*x wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 1 = -7*k - n, n - 1 = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = 9. Let w = 369 + -353. Let a = w + q. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227875917.\nAnswer: 3, 75958639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 99 - (-7)\/(42\/30). Suppose f*c - 101*c = 1125. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -50*c**3 - 15*c**2 - 102. Is y(-7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 880*o - 25498. Determine g(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 68 = 3*g. Let x be (-8)\/24 + g\/(-6). Solve 3*i - 3*w = -21, x*w + 0*w - 32 = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1545, 7, 5, -1, 0 in descending order.\nAnswer: 1545, 7, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1857, -1837, -1817?\nAnswer: -1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w - 9*w + 27*w**4 + 103*w**4)*(-4*w + 6*w - 4*w + (1 + 0 - 3)*(6*w - 3*w - 4*w) + 0*w + 2*w - 3*w - 7*w + 2*w + 3*w + 2*w - 4*w - w).\nAnswer: -780*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*l = 2308 - 1540 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 263 - 70. Suppose -h = -2*q - 185. Solve -5*k + 3*k = -q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3420\/(-4410))\/((32\/(-70))\/4)*(-10)\/25?\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k + 360. Suppose 3*p = -2*p - k. What is the units digit of (-4)\/p + (-122)\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-88)\/(-12) - (-3)\/(-9). Find the third derivative of 4*r**2 + 4*r**2 - l*r**2 + 10*r**3 + 3*r**2 wrt r.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {n: 1, w: 1, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130409 is divided by 302?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/7 + 78*p**4\/7 - 10*p**3 - 34*p**2 + 384*p\/7 - 152\/7 = 0. What is p?\nAnswer: -2, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1\/4 (b) -4 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82966887217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**2*z**3 + 2*h**2*z**2 - 13*h**2*z + 247*h*z**3 + 2*h*z + 70*z**3 - 2*z**2 + 1539*z wrt z?\nAnswer: 18*h**2 + 1482*h + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 4*a**2 - 4*a**2)*(-24*a**2 - 8*a**2 + 7*a**2)*(-a - a + 0*a).\nAnswer: -100*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6355*o = -6425*o - 1330 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 11:06 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.351 or -3\/19?\nAnswer: -0.351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wixkq. Give prob of sequence xkiw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v = 24. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220110222220 - -20?\nAnswer: 220111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28370825?\nAnswer: 5, 7, 162119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 261660\/(-252)*(-6)\/7. What is the second biggest value in 1\/6, -1\/3, 1\/3, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*o**3*y*z - o**3*y + o**3 + 32*o + y*z**2 + z**2 wrt y.\nAnswer: 6*o**3*z - o**3 + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.048921 * 0.4\nAnswer: 0.0195684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (2\/(-20)*-5 - 0)*20 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000567268 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(2\/15)*l)*l*l**(-5\/3))\/((l*l**5\/l*l)\/(l*l*l*l*l**(-17))))**(1\/20) assuming l is positive.\nAnswer: l**(-99\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -3, 0.5, -3\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3))**(1\/2)*(d*d*d**(2\/13))\/(d**3\/d)*d\/(d*d*d**6\/d*d*d)*d*d*(d*d**(-2))\/d*(d*(d**0*d)\/d)\/d**(-4) assuming d is positive.\nAnswer: d**(-124\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*z + 1635 - 155 = -1016 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**3 - 24*t**2 - 39*t + 21. Let a(j) = -14*j**3 + 70*j**2 + 117*j - 64. Let f(o) = 4*a(o) + 11*l(o). What is the tens digit of f(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*h + 3, 6*k = 3*k - 2*h + 15. Suppose 6*m + k = -3. Let r = m - -27. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253 (base 8) to base 13.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 63?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 0.239 (c) 0.11 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-566 + 1211 + 34)*(-33*f + 25*f - 70*f) to t*f + h and give t.\nAnswer: -52962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c894 (base 15) to base 13.\nAnswer: 3348a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -6 - 36. Let p(f) = -f**3 - 15*f**2 - 16*f + 7. Calculate the lowest common multiple of 2 and p(i).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54592 by 13648.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -1807\/61567 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 71, 69, 65, 59?\n\"Answer: -s**2 + s + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1766768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101 and 26775403.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 + 130. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2875469\/42 + 68335. Let g = 394\/3 + u. Calculate the common denominator of g and 53\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1379790583 to 5 dps.\nAnswer: -0.13798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**2 + 5*y**2 + 3*y**2 + 8 - 9*y - 2*y**2. Give x(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 - 6*i**4 - i**2 - 14*i**4 - i**3 + 14*i**4 in the form c*i + r*i**2 + t*i**3 + s + f*i**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.082 - -4.082. Suppose 264 = 46*l - 34*l. Sort i, l, 2\/3, 0.5.\nAnswer: 0.5, 2\/3, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-3)\/(-30)*4\/2. Which is bigger: 1\/2 or t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from {f: 3, q: 4, l: 1, o: 3, d: 3, i: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1857232.\nAnswer: 2, 13, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - p)*(-20*p**2 - 2 + 2) + 258 + 30*p**3 - 258.\nAnswer: 50*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*u**7)*u**(-10))\/(u**(-9)*u*u**(1\/6)))**(-5\/11))**(1\/2) assuming u is positive.\nAnswer: u**(305\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6105b - 5?\nAnswer: -61060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = x - 11*x. Let y = 57 + x. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 + 3.9. Let v = 13 - 8. Which is the closest to h? (a) -4 (b) v (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 11*f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjmjmmjjmjmm. What is prob of sequence mm?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*g - 49*g - 6 = 3*w, -g + 6 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6816\/(-7952)*(-7)\/(-9)*-1*125\/10\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -3, 0.185, 3, -2, 193?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175 + -67. Let q = -139 + z. Let r = q + 31. Which is the closest to 3\/4? (a) 0.4 (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 1557 = 606. Round x to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 6 + 4)*(2*r - r + 0*r) + 2*r + 0*r - 3*r + 3*r + 3*r - 5*r - 2)*(41 - 41 + 4*r**2) to the form w*r**2 + q + a*r**3 + z*r and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 71415002.57\nAnswer: 71415019.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1799751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q**2. Let x(r) = -4*r - 6. Let f = 65 - 66. Let s(z) = z + 1. Let m(o) = f*x(o) - 6*s(o). What is m(w(t))?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -209993\nAnswer: 1889937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4741 times 156\nAnswer: -739596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49255 - 29587. Let y = l - 3335. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 310 + -10b?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 1. Suppose -2*i - 2*r + 1 = -1, 2*i = -5*r - 7. Suppose -3 = 3*a - i*a. Suppose a*t = -2*t - 2*z + 17, 5*z = 5*t - 45. Calculate f(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1433 + -15726\/11. Find the common denominator of -13\/3 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -j - 2*j + 2, 2*j = 3*s - 17. Suppose 5*p + y - 816 = 0, 4*p + 352 = y + 1012. Suppose -p = t - s*t. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.6828 + -3.1828. Suppose -2*j = -21 + 1. Suppose -5*y - j = -0*y. What is the closest to u in -0.4, y, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -22. Suppose 4*j = q*j + 1. Let f(i) = 1. Let m(n) = n - 3. Give j*m(r) - 3*f(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*n - 675, 6*k - 33 = 384*n - 383*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -1 (c) -27 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -32?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/7150 and -157\/249900?\nAnswer: 35735700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 7 - -7 - (0 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 0*g**2 - g**2)*(-394916*g - g**3 - 1325*g**2 + 394916*g).\nAnswer: -g**5 - 1325*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2457*v**2 - 14730*v - 27. Determine n(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -896 = -3*a - 230. Suppose 0 = -a*i + 221*i + 21. Solve 3*o - i = 4*n, 9 + 15 = -4*n + 4*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q**3 - 662*q**2 + 110*q + 571. What is w(60)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -40. Let k = 0.081 + -11.681. Let x = k - -11.5. Which is the closest to x? (a) -3 (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -199, -11 in descending order.\nAnswer: 4, -11, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 - 2. Let k(h) = 2*h**3 - h**2 - h - 1. Let n be k(-1). What is the tens digit of l(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.4 (c) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10979474?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*p = 357, 5*s + p - 4*p - 1771 = 0. Let q = s + -145. Is q a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/221 in 4, 16, 17\/20?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 605, -5.\nAnswer: -13, -5, 605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 12465\nAnswer: -1\/1385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3588384697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(6\/(-9))\/(2\/(-9)). Suppose -3*l = -2*a + a - o, -a - 4*l = -29. Suppose a*x = 2359 - 955. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3 + 2668365*i**2 - 10673520*i + 10673540 = 0. What is i?\nAnswer: -533677, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 12) to base 8\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 + -34. Calculate the greatest common divisor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2526, -5048, -7572, -10098, -12626, -15156?\nAnswer: -17688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11849188 is divided by 370287?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 t when four letters picked without replacement from stftvsmvvvststt.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*r + 133*r - 56 + 56 + 721*r**2 - 723*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z**2 + 2*z. Let j(x) = 7*x**2 + 2*x. Let r = -32 - -38. Give r*j(s) - 5*p(s).\nAnswer: 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 i, and 1 y when three letters picked without replacement from ywrirfyh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)*2*4)\/(sqrt(450)\/sqrt(10)))**2.\nAnswer: 448\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0476893179 take away 1?\nAnswer: -1.0476893179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2376 and 21313611.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.115684 and -0.2.\nAnswer: -0.315684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 985806456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1155986955.\nAnswer: 3, 5, 2659, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 43*x**5\/30 + x**4\/6 + 29*x**3\/6 - 4*x**2 + 10. Is c(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) -21\/4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 13. Let x be w(-9). Let p(v) = -335*v - 36. Is p(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24710810 and 4.\nAnswer: 98843240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-8)\/(-6))*132\/(-1). Let n be (5\/2)\/(33\/l). Suppose -4*p + 3*v = 61, 2*p + 2*v + 3*v + 37 = 0. Which is smaller: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -732948?\nAnswer: -5\/366474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139 + 139. Let c(k) be the first derivative of -k**3\/6 - 7*k**2\/2 - k - 1. Let g(u) be the first derivative of c(u). What is g(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7960 is divided by 7706?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 345 = -69. Calculate the remainder when m is divided by (-40 + 35)*(2 - 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3933 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z + 5*z = f - 97, -4*f = 3*z + 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 416*a - 4160. Let p be f(10). Suppose -1\/2*u**2 + 0 + p*u + 1\/2*u**3 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-18) + 25\/9. Suppose y*h = -h + 44. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/304377 and -113\/18.\nAnswer: 1826262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6786, -7321, -7856, -8391?\n\"Answer: -535*k - 6251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/2))**(1\/45)*(r\/r**(-2\/3))**(-2\/15)*r**7*r**(1\/6)*r*r**(-2)*(r**(8\/5)\/r)\/r*r assuming r is positive.\nAnswer: r**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15.39 in 20, -4, 3340?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 189370141 to the power of 1\/2, to the nearest integer?\nAnswer: 13761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 3019*m - 469*m - 5 + 2249*m to the form c + s*m and give s.\nAnswer: 4799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19069 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*r*r**(-3\/5))\/(r**(-9)*r))\/(r*r\/(r*r**(2\/5))*r*r\/(r**9\/r)))**(13\/3))**(2\/103) assuming r is positive.\nAnswer: r**(2054\/1545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 19*k**2 - 2. Let v(m) = -195*m**2 + 182*m + 3276. Let y(x) = -x**2 + x + 18. Let l(f) = -v(f) + 182*y(f). Give l(n(o)).\nAnswer: 4693*o**4 - 988*o**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1958610 to the power of 1\/2, to the nearest integer?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 2*g - 3*g + 6, 3*g = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3395*q**2 + 1772*q**2 + 1652*q**2.\nAnswer: 29*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -9*r**4 + 1612608*r**3 - 4300179*r**2 - 8062908*r - 2150112 = 0.\nAnswer: -1, -1\/3, 4, 179176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 160 = 3*q, -2*j - 968 = -6*q - 1284 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(78) - 1*sqrt(78) - sqrt(78) - sqrt(78)))\/(sqrt(6)*2*4).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -2022213?\nAnswer: -2022213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.131 - 20.931. Let h = -20 - y. Let l = -197 - -197. What is the second smallest value in -0.5, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - ((-6)\/(-7) - (-270)\/21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.5 (c) 0.3 (d) -138 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 3:28 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 0*t + 45 - 65 - 6*t. Let y be d(-4). Let w = 4563\/7 - 653. Which is greater: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1501 + -1504. Let w be ((-2)\/6)\/(9\/6). Which is the nearest to w? (a) h (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 48.3 and -0.31.\nAnswer: 47.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*(sqrt(1539) + 2))**2 - (-1 + sqrt(931) + 4 + (sqrt(931) + 1)*-6)) + -4.\nAnswer: 2339*sqrt(19) + 98751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1398 and -8.\nAnswer: -7.8602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baab when four letters picked without replacement from {j: 4, a: 3, b: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -11*g**2 + 24*g. Let u be l(2). Suppose 15 = -h - 3*s, 23 - 3 = 5*h - u*s. Which is smaller: -8 or h?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(196)\/sqrt(7)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 + 15 - a**2 + 7 - 24.\nAnswer: -a**2 + 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 288034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 5)*(2 - 6*i - 2).\nAnswer: 42*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 897845 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 154577*h**2 + 3 - 154580*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*p - 143*v + 142*v, -3*p - 4*v - 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 6*y**2 + 9*y + 2. Let x be b(-2). Factor -1\/4*j + 1\/4*j**5 + 0*j**3 + x - 1\/2*j**2 + 1\/2*j**4.\nAnswer: j*(j - 1)*(j + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 721.008l?\nAnswer: 721008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -150, -416, -830, -1470, -2414?\n\"Answer: -13*i**3 + 4*i**2 - 187*i + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:23 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/(-16)*((-40)\/9)\/(-5). Let 9\/2*i**r - 21\/2*i**2 + 6 - 12*i - 27\/2*i**5 + 51\/2*i**3 = 0. What is i?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) -19\/3115 (c) 0.1 (d) -3 (e) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -177*i**2. Let v(r) = 18*r. Let p(l) = -5*l. Let w(c) = 6*p(c) + 2*v(c). Calculate n(w(b)).\nAnswer: -6372*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2 - 2 - 2*w**2 - 3 - 2*w + w. Let a(p) = p**2 + 3. Let c(b) = -13*a(b) - 6*y(b). Give c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1100 - -1106. Let t = 8 - -13. Calculate the remainder when t is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-6*1*(-5)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136847 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 29*a**2 - 28*a**2 + 545*a - 554*a. Let v = 25 + -17. Calculate f(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 29 + (6 + 1 - 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + (9 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1.2, 216, -0.05, -1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**4\/12 + t**3\/2 - 1488*t**2. Let x(j) = -7*j - 13. Give -26*d(q) - 6*x(q).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/6)\/(1449\/207)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*y = 88*y + 358*y - 8192 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -4*x**3\/9 - 12*x**2 - 60*x - 520. Factor z(v).\nAnswer: -4*(v + 3)*(v + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 510310 + 21145?\nAnswer: 531455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1645, -2689, -3731, -4771?\nAnswer: -5809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by -21308\nAnswer: -7\/3044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -4 (c) -5 (d) 262 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17624 and 3064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 25. Calculate f(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 7*c**2 - 5*c - 1. What is j(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - 0.4. Let l = -1.5 + d. Which is the closest to 2\/3? (a) l (b) 1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from naannnnannnnntnn. Give prob of sequence aaa.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*h - 93 = -365 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-4)*(-532)\/399. Solve -5*r = -2*a + f, 4*r = -2*a + 3*r - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulamunu. What is prob of sequence mna?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 4451?\nAnswer: -4\/4451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12761, 50484, 113167, 200816, 313437, 451036?\n\"Answer: f**3 + 12474*f**2 + 294*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 - -0.16. Let s = 0.29 - 0.09. Which is the closest to 4? (a) h (b) -1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 50*n**2 - 13*n + 11. Let f be l(1). Let o be -2*3\/f + 5\/40. Solve -6*w - 3*y = -2*w - 4, -2*w + 3*y + 2 = o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138404630 divided by -14\nAnswer: 9886045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6288*a**2 - 9*a + 3*a + 6*a.\nAnswer: -6288*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwxttvttvtwsvxwttst. Give prob of sequence vww.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 8*v + 6. Let t be b(5). Let y(c) be the third derivative of -c**4\/24 + 19*c**3\/6 + 6*c**2. List the prime factors of y(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*m - 2*o + 48, 0 = 2*m + 4*o - 32. Calculate the highest common divisor of 1362 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-21)*(-7)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7490 divided by 2250\nAnswer: -749\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -818*z**2 + 1612*z**2 - 795*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 3 + 2*p**3 + 4 + 26*p - 1.\nAnswer: 2*p**3 + 21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2. Suppose 3 = 2*k - 1. Let h(f) = 3*f - k*f + 0*f. Determine y(h(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**15\/(l*l**11*l*l)**(2\/9) assuming l is positive.\nAnswer: l**(107\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5319 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166.7 + 166.2. Let w = 1143\/11 + -104. What is the fourth smallest value in w, 2\/3, 2\/21, q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.2, -70, -4?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 972*k**5 + 155*k**2 - 3*k wrt k.\nAnswer: 58320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 0, -2\/263, 2\/33, 4\/3, 0.3?\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54231522 (base 6) to base 7.\nAnswer: -16436444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.686691 to one dp.\nAnswer: -58.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 205128*r**5 - 80*r + 25574 wrt r?\nAnswer: 4102560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -33 (b) 7069.5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3682423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1712 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389025 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, 3, 1.\nAnswer: -10, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 - 12931834\nAnswer: -12931835.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 3) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6003552 divided by 1500888?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 14*z**2 - 15*z + 14. Let a be l(-13). Does 19 divide (184\/5)\/(16\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 12:30 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2 = 6*g. Let c = 11 - 9. Suppose -13*b**2 - c*b**4 - 4 + 3*b**g - 10*b**3 - 8*b**2 - 14*b = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4448 and 1709472.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1211*o**3 + 1211*o**3 + 1206*o**3 - 5004*o**3 + 1363*o**3.\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*p - 84 = 36*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 306*a. Let o(v) = 2054*v**2 - 2*v - 36. Determine p(o(j)).\nAnswer: 628524*j**2 - 612*j - 11016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 641, 1225, 1807, 2387, 2965?\n\"Answer: -p**2 + 587*p + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + 3 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22670 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 3*l - 3*l)*(-5 + 2 - 3)*(0 + 0 - l) to b + g*l + a*l**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24231, 24230, 24229, 24228?\n\"Answer: -b + 24232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: a1b (base 15) to base 14\nAnswer: b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 11*m + 1. Let g be y(11). Let d = g + -2. Put 0, d, 4 in decreasing order.\nAnswer: 4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/3))**(2\/115)\/(n*n**1*n)**(9\/5)*(n*(n\/((n\/(n*n\/(n\/((n*n**5*n)\/n)*n)))\/n*n))\/n*n)\/(n*n**(-4)\/n)*(n**1\/n)\/(n\/n**(2\/15)) assuming n is positive.\nAnswer: n**(109\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*n + m, 4 = m. Suppose q + 3 = n*q. Let y be 0*(0 + q - 0). Solve -3*i + y*i = -12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 2*i**2 + 0 + 4*i - 1\/6*i**3. Suppose 1 = 2*b - 3*b. Let l(q) = -1. Calculate b*m(o) - 2*l(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:24 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3*(-10)\/(-36)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -4. Let r = -1.58 - u. What is r rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-20)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) -2256 (c) -3 (d) -4 (e) -5 (f) -114\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 16}. Give prob of sequence ff.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*r + 71*r - 65*r + 11 - 18.\nAnswer: -38*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.965668 to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-3)\/((-9)\/6). Suppose 5*m - 12 - 13 = 0. Let k = m + -2. Solve 2*u - 12 = d*r, 12 = k*u + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86\/(-18)*3 + (-504)\/3591*19\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*d, 3*v = -2*d + 6*v - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -0.3, 47, -4 in decreasing order.\nAnswer: 47, -1\/6, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {v: 1, a: 4, h: 1, p: 2, k: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.62252 - -22.33060828.\nAnswer: 22.95312828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 67*y**2\/2 - 5*y - 24. Let z be v(2). Suppose -s + z = 117. Solve 0 = -2*m - 2*m + s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from {g: 4, b: 1, r: 4, u: 2, p: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {k: 5, s: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, -1, -0.00213, 2, 1\/6 in descending order.\nAnswer: 2, 1\/6, 0.1, -0.00213, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/(-6)*(-4)\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638712 is divided by 79827?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -37*n**3 + 3*n**2 - 4*n - 3. Is f(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l + 195 - 166 = -161 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 245718 + -53918. What is j rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**2 + 75*u - 180 = 0.\nAnswer: 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 4 - 9 + 6. Let l(u) = 0*u - 3*u + u + 0*u. Determine o(l(i)).\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*n + 2 = -3*n, 0 = 5*n. Let w be 1\/(-2)*t + 17. Suppose 0 = 3*x - 2*x - w. Calculate the greatest common divisor of 45 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f. Let m(s) = -283*s**2 + 2312*s + 21. Determine m(u(o)).\nAnswer: -2547*o**2 + 6936*o + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2417 + 2412. Let t be (-1)\/(-2) + 9\/6. Let a = f + t. Which is greater: a or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1879802 and 0.2829?\nAnswer: 1879802.2829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 991532 + -20.696.\nAnswer: 991511.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -2571792545836?\nAnswer: 2571792545836.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 12, 4, 24, -1255, -2 in ascending order.\nAnswer: -1255, -9, -2, 4, 12, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z\/((z\/(z**(-1\/7)*z))\/z)*z)**(-7\/3) assuming z is positive.\nAnswer: z**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 599 - 595. Solve c = 3*c - w, -2*h + c - 12 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v - 2*v + 0*v. Let u(i) = 6*i. Calculate u(q(y)).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 166503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**4\/12 - c**3\/6 + c**2\/2 + c. Let j be a(2). Suppose -2*i = j*i - 425. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*s - 0 - 18, 6 = -s - 3*c. Let a = 8709 - 8705. Solve 2 = a*o - s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1554 + -1051. Suppose -2*d + l - 103 = -2*k, 2*k + 808 = 4*d. Suppose 7*q = 104 + d. Calculate the remainder when 86 is divided by q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/2 of a hour?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -322 times -0.39\nAnswer: 125.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjkjjjhpjjjkkjkj. What is prob of picking 1 j and 1 p?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**5\/360 - 65*t**4\/36 - 4225*t**3\/9 - 135*t**2 - 1. Find x such that g(x) = 0.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/576091690 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 5*f + 3*w - 6, -5*w - 10 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 198 + -216. Let o(x) = -x**2 - 13*x + 91. Let d be o(t). Sort d, -4, 5, -2 in descending order.\nAnswer: 5, d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 - -7 - 2 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/7 + 276270*u\/7 + 276267\/7.\nAnswer: 3*(u + 1)*(u + 92089)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -5*z - 3*v, -3*z + 6*v + 9 = 10*v for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7931 + -7928. Let l be (-2)\/(-6) - (-28)\/6. Let p = 8 - l. Solve -2*w + p = -n*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -40, -8, -4\/7, 96?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21842565 is divided by 37274.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - 101*(0 + -1). Let b = r + -94. Let z(m) = 11*m + b + 8*m - 13*m. Let i(o) = 6*o + 4. Determine 3*i(v) - 4*z(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 1:59 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, d: 6, n: 1, i: 3}. What is prob of picking 2 i?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-87)\/270*(3 + -2). Let d = i - -1\/10. Let n = -1.1 - -1. Which is the nearest to n? (a) -0.4 (b) 2\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1470 and 137420745.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81*p**5 - 8*p**2 + 87*p.\nAnswer: -4860*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 5) in base 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*v + 7726, 9*v - 5*v + 3100 = -2*z. What are the prime factors of (z\/9 + -3)*-3?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 25*r + 200 = 0. Suppose 49*g = r*g + 8. Let q be (-4)\/22*(-8)\/g. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1218\/(-196) + 6)\/3*8\/(-2). Let y = -33.1 + 33. Let c = -12\/43 - 88\/301. What is the nearest to y in 3\/2, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u - 5. Let w be m(10). Suppose -223 = -4*l + w. Suppose -182 + l = -5*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 141 - 121. What is the lowest common multiple of n and (176\/(-66))\/((-2)\/33)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*-2 + -5)**2 - sqrt(252)) + 3 - 6*sqrt(441)\/(sqrt(28)\/(1*sqrt(4))).\nAnswer: 96*sqrt(7) + 1036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -2*g**7\/21 + 173*g**6\/6 + 310*g**4\/3 - g**3\/6 + 428*g. Find the third derivative of d(i) wrt i.\nAnswer: -240*i**2 + 20760*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5857 - 3789. List the prime factors of l.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r - 4*p + 240, 3*r = 559*p - 557*p + 120 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1023505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -213, -116, 69, 372?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 6*g**2 + 0*g**3 + 1\/18*g**4 + 0 + 0*g**5 - 1\/120*g**6 - 1\/630*g**7 + 0*g. Find c such that s(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 1078.\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -3, 16\/5, 0.1, -2\/177?\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*w - 0*b + 12, -3*w - 2*b = -7. Suppose 7*h - 87 = 4*h + 3*o, -5*h - 5*o = -105. Calculate the highest common divisor of w and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1797107128921*v - 1797107128921*v - 8*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1592.04 + 1621. Let l = y - 29. Let u = 93 + -284\/3. What is the nearest to l in -0.1, u, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1233 (base 4) to base 11\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12167 to 3 dps.\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 3*n - 53, -2*u - 32 = -316*n + 320*n for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 4334\/331?\nAnswer: 4334\/331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5\/2*g**2 + 0 + 1\/2*g**3 = 0 for g.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003746 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 9*d. Sort 1, 21, -4, d in increasing order.\nAnswer: -4, d, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*s**3 + s + 3*s**2 - 3*s**2 + 6*s**2 - 4*s**2 to b + f*s**3 + r*s + u*s**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 3*c**2 + 4*c - 2. Let f be y(-4). Let x = 0 - f. Let u(q) = 3*q**3 - 2*q**2 - 3*q + 3. Calculate the remainder when 23 is divided by u(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 46 = -61. Suppose 0 = -4*j + 4*f + 476, 26*j + f + 232 = 28*j. Let w = k - j. Let r(h) = h**3 + 6*h**2 + 4*h + 9. Give r(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxxh when four letters picked without replacement from {h: 7, x: 2, m: 7, c: 2, r: 1}.\nAnswer: 49\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -11 + (5 - 0) + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.6 - -8. Let p = i + 0.1. What is the third smallest value in 2, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105686 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4003.\nAnswer: 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28204 = 35*a - 15791. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 23 = -4*v, o + v + 22 + 1 = 0. Let u be (-4 - 8*-6)\/(-1 + -1). Which is bigger: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*-2*2.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.14 or 1\/2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (32\/128)\/((-7)\/(-8))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71873.11 tonnes in grams?\nAnswer: 71873110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from kkeekekzkke.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1365.93 - -1358. Let r = v + 8. Let o = r - -2.73. Round o to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8025955*m**2*q**3 + 3*m*q**2 + 13*q**3 - 26*q**2 + 188*q wrt m.\nAnswer: 16051910*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + 0.1. Let f = -1769 + 1776. What is the nearest to 5 in 0.1, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 5. Let r be l(14). Let y be r + 9 + 0 + 1 + 3. Solve -k - 7 = 4*d + y*k, -d - k - 1 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1609\/6325?\nAnswer: -1609\/6325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 25*a**2 + 23 - 23. Let f(u) = -2*u. Calculate f(s(l)).\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.002 (b) 3682.9 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1.1. Let z = 0.69 + -0.19. Let u = 5 - 7. What is the closest to a in z, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 421029*b**3*u**2*y**3 - 174*b**3*y**3 + 228*b**2*u*y**3 + 4*b**2*u*y + 26*b**2*y**2 - b*u**2*y**2 - 2*u*y**3 + y**2 wrt b?\nAnswer: 2526174*u**2*y**3 - 1044*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1848 - 3695\/2. Suppose 4*z - 10 = -2*n, 5*z - 13 = -3*n + z. Which is the nearest to r? (a) 0.1 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -5 + -6 + 19 + 8 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -58, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/7)*d**(2\/11) assuming d is positive.\nAnswer: d**(47\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**7\/700 - r**6\/180 + r**5\/75 + r**4\/15 + 2*r**3 - 2. Let p(m) be the third derivative of s(m). Factor p(z).\nAnswer: -2*(z - 1)*(z + 2)*(3*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375 - 621 = -185*r + 173*r for r.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 29*d = -1962. Let l = d - -297. List the prime factors of l.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.36036183 rounded to 1 decimal place?\nAnswer: 114.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 + -1.48. Let i = f - -1.44. What is the nearest to i in -1\/9, 5, 0.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -102554314?\nAnswer: -102554312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -3.7 = 7416.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55.957058 + 0.1.\nAnswer: -55.857058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -114 - -113.6. Put -0.1, 0.2, -0.03, v in decreasing order.\nAnswer: 0.2, -0.03, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**2*x**2*z**2 + 3*t**2*x**2 + 19*t**2 - 4*t*x**2*z**2 + 201*t*z**2 + 2*t wrt t.\nAnswer: -4*x**2*z**2 + 6*x**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 405460562 - -1?\nAnswer: 405460563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 17*z**2 - 7*z + 20. Let b(k) = -k**3 + 18*k**2 - 7*k + 21. Let v(t) = 4*b(t) - 5*q(t). Is v(13) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55410000 to the nearest one million.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 p, and 2 x when four letters picked without replacement from kmzxxvkvvvmxzmp?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -1 (b) -112 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**7\/6 - 5*g**4\/6 + 6*g - 12. Let n(r) be the first derivative of b(r). What is the third derivative of n(p) wrt p?\nAnswer: -420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 585\/36 + (-2)\/5 + (-30)\/(-200).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - -76) + -26 - 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 31\/2 of a minute?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/5*(-3160)\/(-6636)*(-49)\/(-6)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -17 and -399305572797.\nAnswer: -399305572814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 w when four letters picked without replacement from wddwdww?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163710166?\nAnswer: 2, 787, 104009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175498, -350908, -526318?\nAnswer: -701728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -2*a**7\/21 + 13*a**4\/12 + 5*a. Find the third derivative of j(q) wrt q.\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(323\/51)\/(2\/(-48)). Differentiate 34*f**3 + d - 260 + 183 wrt f.\nAnswer: 102*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6653.55 decades?\nAnswer: 66535.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14311 - -201134?\nAnswer: 215445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534941289*w + 8855 = 534941212*w for w.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -310944 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -157\/3. Let h = 43 + -216\/5. Which is the second biggest value? (a) h (b) o (c) 2\/5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 9:28 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18053120.\nAnswer: 2, 5, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*k - 6. Suppose 3*h + 0*h + k = 0. Let x(q) = -4*q + 2. Let u be x(h). Solve -4*v - v + u = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**5\/10 - 2*z**4\/3 - 11*z**3\/2 - 9*z**2 + 2*z. Let q(n) = -n**2 - 1. Let p(y) = 5*q(y) - r(y). Factor p(f).\nAnswer: (f + 2)*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/4)\/((-12)\/64)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:42 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5180, -5181, -5182?\nAnswer: -5183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + -1260226866.\nAnswer: -1260226865.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 5:05 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 7. Let f(o) = -1. Let n(p) = 6*f(p) - k(p). Let c be n(-8). Solve 3*g + 3 - c = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3081 + 3146. What is the remainder when 584 is divided by h?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 57388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, a: 6, o: 1, d: 4}. Give prob of sequence aaud.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25774 and 34190.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -26*s + 2884. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 250. Let y(p) = -3*p - 249. Let x(m) = -3*q(m) - 4*y(m). Let b = -247 + 247. What are the prime factors of x(b)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2738*v - 65714. Determine u(24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 260*c - 255*c - 20. Solve -h = -c*g - 21, 5*h - 4*h = 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8 = 2*y. Let j be 17 - (-144)\/(-12) - 3*1\/3. Suppose -20 = -y*d + 3*d, -j*i - 3*d = -108. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 14d934d2?\nAnswer: 14d934d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2. Let x be y(1). Let n = 587.24205 - 0.14205. Let q = -587 + n. Which is the biggest value? (a) q (b) -1\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29088 - 29592 = -18*s for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, k: 7}. What is prob of picking 1 y and 3 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 4*r**3\/3 + 2*r - 1. Let d be o(3). Let u be d\/14 + 2\/7. Solve u*m = -m + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 1:41 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12383 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, o: 3}. What is prob of sequence so?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 554? (a) 0.2 (b) -3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87434882 minus -7.16?\nAnswer: 87434889.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -6*o - 13. What is the biggest value in 0.5, 5, o, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + -3 + (49 - 22)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 13, w: 5}. Give prob of picking 3 e.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12, -1, -6, 0 in increasing order.\nAnswer: -6, -1, 0, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r - 1. Let g be o(2). Which is the biggest value? (a) g (b) 2\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1689*p**2 + 379*p**2 + 796 - 798 as m*p + c*p**2 + v and give c.\nAnswer: 2068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqxjjsmzqsxsqqqjzs. Give prob of picking 1 j, 1 x, and 2 q.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2545 is divided by 150.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-52)\/39*3\/2. Let w be x\/(5\/(-5)) - 0. Let h = 2 + w. Solve -5*a - 3*m - 6 = h, 0 = 2*a - 2*m - 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32534 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 75, 113, 167?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 25*h. Solve h = 2*p + 2 + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:53 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 3, 0.9 in increasing order.\nAnswer: -1\/6, 0.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -24 - 12. Let c(l) = -2*l**2 + 8*l + 11. Let o be c(-2). Let f = o - u. Sort 2, -3, f in decreasing order.\nAnswer: 2, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 11) + (-15 - (-11 - (1 + 1))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g**3 + 20*g**3 + 0 + g + 0.\nAnswer: -3*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 31*f**2 - 11*f + 194. Let p(d) = d**2 - 7*d - 1. Let z be p(8). List the prime factors of a(z).\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3\/9 + 1364*d**2\/9 + 14782*d\/9 + 13420\/9 = 0.\nAnswer: -671, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2487)\/(((-72)\/316)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(12\/7)\/i)**(-28) assuming i is positive.\nAnswer: i**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**6\/120 - h**5\/20 + h**4\/6 + h**3\/2 + 21*h**2 + 8*h. Determine r(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11b35 (base 12) to base 3\nAnswer: 1020001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 10:03 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 63990, 512031, 1728170, 4096455, 8000934?\n\"Answer: 64008*k**3 + k**2 - 18*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-14) - 6\/21. Let i = 13 - 11. What is the second biggest value in i, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 9 = s + 3*k, 0 = 2*s + 2*k - 2. Let u = s + 5. Factor -u*i - 2*i**3 - 8 + 0*i + 2*i + 6*i**2.\nAnswer: -2*(i - 2)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.11.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 127, 377, 863, 1663, 2855?\nAnswer: 4517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 3637 and 3\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*r - 157*r - 153*r + 12 + 1046*r - 173*r - 237*r.\nAnswer: 169*r + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-27)\/(-6))\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*d**2 + 38*d**2 - 18*d**2 + 10*d)*(-123 - 141 + 140) as q*d**2 + g + v*d and give v.\nAnswer: -1240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*z - 6*z - 6946006, 0 = -2*w + z - 13892017. Let s = 3746008 + w. What is s rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*r - 72 = 0, -258 = -68*h + 20*r - 8*r - 14*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*h - 0*v + 93, 2*h - 41 = 5*v. Suppose -j + 3*j - h = 0. Suppose -4*p = 2*i + i - 38, i + j = 3*p. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2*(sqrt(96) + (sqrt(96)*-2 - sqrt(96))) + sqrt(96) - sqrt(96))\/sqrt(4))\/((sqrt(192)\/sqrt(16))\/(sqrt(96)*1)))**2.\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 3)*(4*u**3 - u**3 - u**3) - 34*u**3 - 7387*u**2 + 7387*u**2 - u**3 - 3 + 3 in the form b*u**3 + w + y*u + f*u**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (448*w - 220*w - 221*w + 3)*(-w - w + 0*w) to i*w**2 + n + x*w and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -278841, -559267, -839693, -1120119, -1400545?\n\"Answer: -280426*w + 1585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -3. Let f = -4 + m. Suppose 2*g = 13 - f. What is the remainder when g is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3606975 is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -24*r - 39. What is the tens digit of l(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*r**2 - 5164*r + 5148.\nAnswer: 4*(r - 1)*(4*r - 1287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 + (-5)\/((-15)\/(-6)). Let j = 12 - i. What is the remainder when j is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*s**5\/8 + 39*s**4\/2 + 45*s**3\/2 - 105*s**2\/4 - 207*s\/8 + 27\/4 = 0. Calculate s.\nAnswer: -3, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 460 = 74. Suppose 2*g - 3*j - 83 = 2*j, -4*g - 2*j = -k. Calculate the remainder when 129 is divided by g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6661*h + 107568 - 483419 - 142909 = 544*h for h.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000361325 rounded to six dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16393 and 197977?\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-1*sqrt(51))\/sqrt(3) - 3*sqrt(17)*4) + -5)**2.\nAnswer: 182*sqrt(17) + 2922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 9. Let q be i(5). Suppose -q*f + 98692 = 7*f. Suppose -11*v - f = -27012. Round v to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**3\/3 + 9*n**2\/2 - 4*n. Differentiate j(p) with respect to p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 2*g**2 - 25*g + 11. Let p be h(6). Let m(w) = w**3 - 8*w**2 + 8*w - 4. Let t be m(7). Let n be (-4 + -2)\/(t\/2). Sort 2, n, p.\nAnswer: n, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 j when three letters picked without replacement from {v: 7, j: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (20\/9)\/2*12\/(-16) and -37\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -c + 24 - 2, 2*c = 5*s - 55. Solve -10*n + 5 = -s*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.42 (b) 0.5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.986 + -1.92. Let u = n + 0.346. What is u rounded to 2 dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17 - -18)\/((-3)\/(-48)). Let k(a) = a**2 + a + 4. Let z be k(-4). Calculate the highest common factor of z and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 5*l - 11. Let u be d(-3). Suppose 5*k - 7 = u. Solve 5*b - 6 - k = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 4. Let f(m) = 11*m**3 + 1. Let k be f(1). Suppose -p + k + 9 = -3*l, 0 = -5*l - 15. Let b be (5\/2)\/(6\/p). Determine y(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(82\/(68880\/(-180))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j - 10*j + 2*j in the form y*j + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/254606 and 89\/115730?\nAnswer: 1273030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26*(10 + 15\/3 + -2). Let p = u + -300. Calculate the remainder when 110 is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 727*t**2 + 11534*t - 61440. Let i(g) = g**3 - 242*g**2 + 3844*g - 20480. Let w(u) = 7*i(u) - 2*m(u). Factor w(k).\nAnswer: 5*(k - 16)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -363 + 961. Is 46 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + 0. Solve 2*x - k = -5*p + 10, -p + 12 = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*l - 3 + 30 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + (-2*sqrt(2) - sqrt(2)) - sqrt(6)\/(sqrt(15)\/(sqrt(20)\/sqrt(4))).\nAnswer: -8 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-3 - 3) + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -247, -254, -263, -274?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(7) + (sqrt(252)\/sqrt(4))**2 - (2 + sqrt(847))**2.\nAnswer: -788 - 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 863194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 11900 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/(1\/2). Let q(t) = t**3 - 2*t**2 + 2*t - 1. Let i be q(m). Solve 6*p - p = i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/13 less than 2629\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 - 110*q - 99. Calculate o(-11).\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.988 + 7.86. Let l = 100.7 + -111.7. Let i = l - m. What is i rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166170 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(9\/5)\/d))\/d**(-2\/5))\/(d**15\/(d\/(d*d**(-2\/15)))) assuming d is positive.\nAnswer: d**(-214\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 883194 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 = 2*l, 3*d - 2*l + 2 = 2*l. Suppose -z - 7618 = -t, -3*z + d = -4. Round t to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3017131.\nAnswer: 13, 29, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 24115666?\nAnswer: 24115666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*b + 5*q, -2*b + 3 = -q - 0*q. Let k be (31 + -1)\/(6\/b). Suppose m - k + 7 = 0. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b29 + 1?\nAnswer: -1b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 741 by -47.\nAnswer: -741\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-46.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 6. Let z be c(-3). Suppose z*y = -2*f - 7, -f + 2*y = -5 - 9. Is 25 a factor of ((-2)\/f)\/(4\/2568*-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -11 (c) 0 (d) -4\/3 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Suppose -5*r + 111 + 54 = h. Suppose 2*m - 24 = -3*o, -5*o - 3*m + 2*m + r = 0. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1311, -1472, -1743, -2124, -2615, -3216, -3927?\n\"Answer: -55*m**2 + 4*m - 1260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3\/7 - 49041*z**2\/7 - 14010*z = 0. What is z?\nAnswer: -16345, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120.9 - 902.9. Let q = -781.9999611 - i. What is q rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1754058514 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z. Let m be j(1). Let w be -2 + 0 - (-4 - 11). Let t = w - m. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 6*u**2 + 155*u - 417. What is s(4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 3. What is the remainder when 25 is divided by 5 - (d\/(-2) - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*y, -h + 4*y = 2*y - 6. Suppose 0*v - 6 = -2*v + z, 0 = -v + 5*z + 12. Suppose -h*t = v*t. Is 1 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 + -120.3. What is the closest to 0.1 in -0.5, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*j + 2, 2*j = 5*t + 26 - 9. What is the units digit of (t*(-66)\/(-9))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 149473\nAnswer: 6\/149473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -37*r**4\/12 - r**3\/3 + 21*r**2 + 20*r - 146. Let a(b) be the first derivative of d(b). What is the derivative of a(j) wrt j?\nAnswer: -74*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*w + 3620, -4*t + 18 = -2. Let x = -1 + w. Is 26 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13895, 13897, 13899, 13901, 13903?\n\"Answer: 2*p + 13893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1204 = j, 0 = -z - 0*z + 4*j + 301. Suppose -3*w + 368 = -z. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 10*u + 10*u - u**2 - 9*u + 6*u**3 + 7*u**2. Let a(q) = q**3 + q**2 + 2*q. What is -11*a(l) + 2*j(l)?\nAnswer: l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45 + 655*k**5 - k + 97*k**3 - 97*k**3 - 397 + 2*k**4 wrt k.\nAnswer: 13100*k**3 + 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*j**2 - 6*j**2 - 4*j**2)*(-5*j + 4*j + 4*j) - j**2 + 14*j**3 - j**2 + j**2 in the form q*j**3 + n*j + u + d*j**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2 - 2*d**2 + d**3 - 14*d**3 wrt d?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(6*t + 5 - 5) - 21*t + 61 - 61.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -852*x**2 - 4. Let d(b) = 1702*b**2 + 10. Give 2*d(a) + 5*k(a).\nAnswer: -856*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 2*y + 1. Let o be i(-1). Calculate the common denominator of -121\/10 and (70 - 0)\/(9*o).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150 - 150. What is the closest to w in 5, 1, -0.2, -21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (2\/14 - (-140)\/49). Sort 0, 1, g, 4 in descending order.\nAnswer: 4, 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16046575 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + 6\/(-12) + (-390)\/(-20) + -4. Solve a = -8*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/4, 2, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42\/13, 63, 1\/4 in ascending order.\nAnswer: 1\/4, 42\/13, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31297357 + -0.1?\nAnswer: -0.41297357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3040 and 2563100.\nAnswer: 20504800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*i = -5, -h - 8 = 3*h + 4*i. Let k = -6604.28 + 6603.64. Which is the biggest value? (a) k (b) h (c) -1\/4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 4, 6.86, 2 in ascending order.\nAnswer: 1\/8, 2, 4, 6.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1a5bb (base 14) to base 11\nAnswer: 46380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(51)\/(2*sqrt(3))*-4 + 4.\nAnswer: 4 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 679 + -266. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffff. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149\/188 + 2\/47. Which is the nearest to -0.4? (a) 0.1 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27376.15mg?\nAnswer: 27.37615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11323 - 11322. Let n be (1\/(-30))\/(2\/4). Which is the third smallest value? (a) 3 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 810?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 616 divide 863006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + b + 0 + (3 - 3 - b)*(-3 + 4 - 3))*(9 - 38 - 15).\nAnswer: -132*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5520)\/(-161))\/6*((-2)\/8)\/(4\/56)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 9*o. Let m be f(9). Let t = 93 + -51. Suppose m*z = 3*z + t. Let c(l) = 4*l - 24. Let x(d) = -d + 5. Determine z*x(w) - 3*c(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 4 + 1)\/(1\/(-431)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -181, -183, -185, -187, -189?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 3 + 16 + z**3 - 6.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*k**2*z**2 + 167*f*k**2*z + 2*f*k*z**2 - 2*f*z**2 + k**2*z + 3*k*z**2 - k*z + 98*z wrt k?\nAnswer: 4*f*z**2 + 334*f*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 8 + 31 = f, -8 = 4*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081028889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-30)\/120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/20 + 4*d**4\/3 + 5*d**3\/3 - d**2\/2 + 12*d. Is a(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 15. Let z be (11 + -5)*(-5)\/5. Let s = 8 - 7.7. Which is the closest to p? (a) s (b) 0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103612, -103605, -103590, -103567, -103536?\nAnswer: -103497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0*n**2 + 6*n + 0 + 3\/2*n**5 + 5\/6*n**3 + 2\/3*n**6 + 5\/42*n**7 + 5\/3*n**4. What is h in s(h) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 279.5 - 279. Let z = -595.7 + 596. Which is the second biggest value? (a) k (b) 57 (c) 2\/3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Suppose 5*r = k*j - 6 - 21, 5*r + 24 = -j. Let s be (-2 + 1)*(-2 - j). Solve -6 = -i - s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*x**3 + 22*x**3 - 4*x**3)*(5*x**2 + 5*x**2 - 4*x**2 + 0*x**2 + 2*x**2 - 3*x**2 + (-4*x + 4*x + 4*x)*(3*x - x + 0*x)).\nAnswer: 104*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/7 + 4176*p**3 + 58472*p**2\/7 = 0. What is p?\nAnswer: -2, 0, 14618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-5) - ((-72)\/(-60))\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 577554415 to the nearest integer?\nAnswer: 24032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 49*m**2 - 29*m - 120. Suppose 0 = 10*z - 334 - 166. List the prime factors of v(z).\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 + -89. Suppose -5*w = -t*k + 123, k + 0*w - w - 32 = 0. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/246 and -169\/30.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99448 and 12832?\nAnswer: 397792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 3730612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132032196?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -2022212100?\nAnswer: -2022212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -2*u**5\/15 + 17*u**4\/24 + u**3\/2 + u**2. Let b(o) = -6*o - 1 + 42*o + 2*o**2 - 40*o. Give 9*b(d) + 2*l(d).\nAnswer: 2*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(1*1\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.5 (c) 0.7 (d) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*c - 130, -215 = 4*c - 0*c - o. Let i be 1\/(4\/(-24))*12*(-4)\/(-18). Let n = i - c. Calculate the remainder when n is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 881.6871l to millilitres.\nAnswer: 881687.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 76*b**2 - 88*b + 553. What is t(75)?\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2 = -4*o + 3, -4*o + 10 = 2*n. Suppose 6*x - 4*x - 4*b = 138, 4*x + 5*b - 315 = 0. Suppose o*f - x = -f. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 6 = -4*q. What is the second derivative of -113 + 115 + q*c**3 - 119*c**3 - 8*c wrt c?\nAnswer: -702*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/36)\/((1320\/99)\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6893436 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1102, 2, 6 in descending order.\nAnswer: 6, 2, -1102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9538 divided by 9538\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -294 + 284. Which is smaller: d or -210\/23?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-51105)\/5*(-2)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2047360904 and -0.5?\nAnswer: 0.7047360904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*z - 242 = -38 + 172 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-24)*3*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by 13.\nAnswer: -162\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -83, -136, -189, -242?\n\"Answer: -53*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001317 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25310*f*n**3 + 686*f*n + 1483*f + 11*n**3 - 2*n**2 + 2*n wrt n.\nAnswer: 151860*f*n + 66*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - f - 4, -8*s + 3*f = -4*s + 4. Suppose -2*m = -s*w + 30, -2*m = -5*w + m + 77. Calculate the remainder when 30 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 197, 793, 1787, 3179?\n\"Answer: 199*h**2 - h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17555973?\nAnswer: 3, 5851991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -96231172 + -1?\nAnswer: -96231173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 8*i + 12. Let f be m(5). Let y(g) = -g**3 - 4*g**2 - 2*g. Calculate y(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6719 divided by 18581?\nAnswer: 6719\/18581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 370, -3, 5, -4 in decreasing order.\nAnswer: 370, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 61*l**2 - 5. Let a(q) = 1200 - 2*q - 605 - 595. Calculate i(a(n)).\nAnswer: 244*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 3*l + (-4*l + 0*l + 2*l)*(-260 + 172 - 220)*(2 + 3 - 2) + l + 1 - 1.\nAnswer: 1852*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -2*p. Let f(r) = 5*r - 11. Let v(d) = -9*d + 22. Let t(u) = p*v(u) + 7*f(u). Differentiate t(m) with respect to m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-4 - 0) + (65 - 85) + 127\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3032, 12560, 28440, 50672, 79256, 114192, 155480?\n\"Answer: 3176*g**2 - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3 + 2125405*r**2 + 10627046*r + 8501640 = 0.\nAnswer: -4, -1, 2125410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 495793921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 38\/(-551) - (-312)\/(-522). What is the nearest to 3\/2 in z, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-6)*q))\/(q\/(q\/(q*q**(2\/3)))*q))\/(q**(1\/4))**28 assuming q is positive.\nAnswer: q**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**5\/30 - q**4\/3 - q**3\/6 - 8*q. Let j(v) be the second derivative of p(v). Find the first derivative of j(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -3, 14, 49, 108, 197?\n\"Answer: c**3 - 2*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8925338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 2. Let i be z(0). Which is the third biggest value? (a) 2\/17 (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*g**4 - 5*g**3 + 12329*g**2 + 163895*g - 40 wrt g?\nAnswer: -216*g**2 - 30*g + 24658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1130 or 186248\/165?\nAnswer: 1130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b - 863a?\nAnswer: -8678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 150 = -5*q, -5*t - 8788 + 8988 = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 2:03 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0975 + 10.2375. Let v = d + -0.14. Let n = 6 - v. Which is the closest to 2? (a) n (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1304, -10681, -36056, -85427, -166792, -288149?\n\"Answer: -1333*y**3 - y**2 - 43*y + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2513 + 5036 - t**2 - 2546.\nAnswer: -t**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 0.2 (c) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1095 by 5.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 98, 67, 24, -31?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owptowtwqw. Give prob of picking 1 q and 2 w.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -362380407 by 83.\nAnswer: -4366029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from bbbbbabbab.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 357.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 115 = f, 4*b + b + 2*f - 134 = 0. Let -40 + v - 25*v + 20*v**4 + 40 + b*v**3 - 4*v**5 - 20*v**2 = 0. What is v?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 66415, 38, 0?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2607 by -1374.\nAnswer: 869\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9 - (-19)\/(-3). Let c = 19509 - 19513. Put n, c, 5 in ascending order.\nAnswer: n, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/((-2)\/(-20)). Let y(h) = -3652*h + 1829*h + 12 + 1824*h. What is y(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (404 + 289 + 659)*(5*t - 2*t - t + (-2 + 2 - 1)*(0 + 0 - 2*t)).\nAnswer: 5408*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1052917851 + 3.\nAnswer: 1052917854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + z - 4, -5*k + 15*z + 12 = 18*z. Let m be 9\/(-24) - 27867\/(-74184). Which is bigger: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/42840 and 67\/1098.\nAnswer: 2613240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-4)*h))**(10\/17)\/((h*h*h**(-30))\/((h*h**(18\/7)*h)\/h)))**(-1) assuming h is positive.\nAnswer: h**(-4037\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 + 0*m**2 + 0*m**2)*(4*m + 3*m - 5*m) + m**2 + 24*m**3 + 18*m**3 + 2 + 18*m**3 in the form u + o*m**2 + r*m + x*m**3 and give x.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94 - 332*q + 94 - 3*q - 3*q + 8*q + 3*q + 10 - 13 - 4 + (-q + 0*q + 0*q)*(-1 - 2 + 5) to the form s*q + r and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let v = 16 - 17. Let a(k) = k + 1. Suppose -8*g = -5*g + 6. Calculate g*c(s) + v*a(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*z + 5279 = 2879 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 1:10 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 147 = 3*o + 18, 4*o = 2*g - 92. Let j(z) = -z**3 + 35*z**2 + 35*z + 37. What is j(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*a**3 + 57*a**3 + 53*a**3 - 215*a**3 + 52*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688*w - 175484 = -989*w - 632*w for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3718985\/368 - 16) + (-1)\/(-16) is divided by 187?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19011643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 89*r + 781. Let y be x(12). Let t = -19\/5 - -17\/5. Which is the nearest to t? (a) -18 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-4 - (2 + 13)) - (-3 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 22*l**2 - 19*l - 1192. Calculate d(19).\nAnswer: -2636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:01 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 62?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*m = 20, 4*z - 95 + 35 = -3*m. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174274*x**4 - 96*x**3 - 61647972*x**2?\nAnswer: -4182576*x - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 743*j - 31*j = 23496 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}