diff --git "a/data/dm_maths/full_data_1/11004_11255.jsonl" "b/data/dm_maths/full_data_1/11004_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11004_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange (-3 - 2 + 7)*(-4 - 3*b**3 + 4) + 46*b**3 - 821*b**2 + 393*b**2 + 407*b**2 to d*b**2 + t*b + c + x*b**3 and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5578, 5, 2, -2, -3, 1 in descending order.\nAnswer: 5, 2, 1, -2, -3, -5578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -119, -697, -2229, -5183, -10027, -17229, -27257, -40579?\n\"Answer: -78*f**3 - 9*f**2 - 5*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 51*l. Let j be (-5)\/(-15) - (-5020)\/15. Let a(i) = -3*i**2 + j - 335. Calculate f(a(b)).\nAnswer: -153*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 8307600.\nAnswer: 1\/1661520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234 by 9.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from akdgyya.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j + 4, 871 = 3*f - 2*j. What is the highest common divisor of f and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - -11 - 14) + 0 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76568, -153073, -229554, -305999, -382396, -458733?\nAnswer: -534998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002489087 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25*(-89)\/(-6675))\/((-1)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pig when three letters picked without replacement from pftlgiiitiiitfgif?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 9*z**2 - 12*z - 3. Let t be i(-8). Suppose 2*k - 6*k = -40. Let l = t - k. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 125401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/589201 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 0.3, 8.1, -8, -5, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -17120*p - 85598. Give r(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 7*l**5\/12 - l**4\/6 - l**3\/2 - 3*l**2. Let f be y(4). Suppose -w + 230 = 2*j - 140, -3*j = 5*w - f. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20110011011100 (base 3) to base 14\nAnswer: 653323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5539220 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*d - v - 149, -2*d - v + 0 = -2*v - 9 + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(240)*-4)\/(-1*2*sqrt(500)).\nAnswer: 12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239.251 years to centuries.\nAnswer: 2.39251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -n + 10 - 4, 0 = -5*c. Suppose 5*i + 14 = -q + 1, -2*q - n = 0. Let h be -1*(3 + -1 - -2). Sort i, -3, h.\nAnswer: h, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -692 + 693. Let q be (-4*((-6)\/28)\/3)\/i. Is q at most 1\/118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -1*96)*(-194)\/(-291). What is the greatest common divisor of 10 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 458869*q**3 - 5*q - 135420 wrt q?\nAnswer: 2753214*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202100 - 1?\nAnswer: 10202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 607\/1576 + -2\/197. What is the third smallest value in 25, -3, f?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 + 2*d - 3. Let z = -2 + 4. Let w be (-54)\/(-108) - (-3)\/2. Let g(l) = 2 - 5*l - 3*l + 6*l - z*l**w. Determine -4*g(b) - 3*m(b).\nAnswer: -b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7885733993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/277 and 14\/25?\nAnswer: 6925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j - 2*j**4 - 8*j)*(-4*j + 5*j - 3*j) + 3*j**5 - 4*j**5 + 2*j**5 + (0*j**2 - j**2 + 0*j**2)*(-j**3 - j**3 + j**3) + 5*j**5 - 4*j**5 - 4*j**5.\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 16*x**2 + 4. Suppose 0 = 4*l - 2*l + 18. Let i(c) = -33*c**2 - 8. Let g(q) = l*n(q) - 4*i(q). Differentiate g(b) with respect to b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-1 - (-8 + 10))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -39. List the prime factors of 3644\/36 + r\/9.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j. Let q be z(10). Let a(w) = -w**3 + 9*w**2 + 5*w + 4. Let l be a(q). Let o = l - -156. What are the prime factors of o?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353 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: Let y be (-1)\/(-2)*(3 + -2 - -97). Let q = y + 43. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.46 - 0.04. Let m(o) = -5*o**2 + 85*o + 9. Let f be m(17). Which is the smallest value? (a) 5 (b) 0.5 (c) g (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 5*y - 15. Suppose 6*m - 3*m - 28 = -2*c, 5*m = -y*c + 45. Solve -s = -m*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 427379, 854760, 1282141?\nAnswer: 1709522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7658+73\nAnswer: -7585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308 and 72212.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Let g be (-5)\/15*(-39 - 0). Let b be (g - 10) + -1*5. What is the remainder when 9 is divided by j(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 3*l**2 + 9*l - 19. Determine c(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13543*v + 36 = -13540*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-12))\/(3\/(-6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3223135 * -25\nAnswer: -80578375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30586 and 20976401?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*r - 2*b, -r + 4*r = -3*b - 9. Suppose 4*f + 0*f - 48 = a, -3*f + 106 = -r*a. Find the common denominator of -95\/8 and a\/32*(-75)\/28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 + 281 + 37 + (3 - 5 + 3)*(3 + 3 - 4))*(-2*d + 2*d + d).\nAnswer: 421*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24379 + -24335. Which is the closest to 1\/5? (a) 2 (b) r (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by ((-120)\/200)\/((-2)\/40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1. Let t(w) = 2*w - 2. Let x(o) = -4*n(o) - t(o). Let b be x(8). Is (-4*(-5585)\/b)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**3 - 156*q**2 - 156*q - 49. What is the lowest common multiple of 1749 and h(53)?\nAnswer: 17490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-10) - 21208\/(-10). Calculate the common denominator of 25\/7 and y\/140 - (-4)\/(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1010 - -2?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11576912*v**5 - 19*v**3 - 145132309*v**2?\nAnswer: 694614720*v**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 20*o + 7*o + (-1 + 2*o + 1)*(4 - 2 - 4) + 2 - 11*o + 0*o + 7*o.\nAnswer: 19*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiiiijiqijjqq. Give prob of picking 1 j and 1 q.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*l**5 + l**4 + 1303288*l**3 - 3*l**2 + 6135156*l wrt l?\nAnswer: -900*l**2 + 24*l + 7819728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 20. Is d greater than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 16*z - 28. What is the remainder when t(4) is divided by -28*3*3\/(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, 66, 255, 520, 861, 1278?\nAnswer: 1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 48*q - 18 = -44*q, -2*q = -2*k - 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.304 + -5.324. Let g = 0.02 + p. Let l = -39 - -38.8. Which is the closest to -0.1? (a) -0.4 (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -12.9. Let l = 57.1 + -69.1. What is the third biggest value in -0.5, d, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (1\/(-1))\/(5\/265). What is the highest common divisor of 175 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/15 - 122*v**2\/15 - 1406*v\/15 - 282.\nAnswer: -2*(v + 5)*(v + 9)*(v + 47)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33.5 + 5.5. Let o = 27.996 + b. Let d = 0.00399959 + o. Round d to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13389 * 276.\nAnswer: 3695364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-20475)\/(-14625) + (-2)\/((-80)\/(-81))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 283281187.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -3, 6, -1\/8, 9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16685*g**5 - 8377*g**5 - 8682*g**5 + 137*g wrt g.\nAnswer: -7480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -14\/103, 1.93 in ascending order.\nAnswer: -14\/103, 0.03, 1.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 144, 151, 172, 213, 280, 379, 516, 697?\n\"Answer: u**3 + u**2 - 3*u + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1190*y + 13301 = -2169 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -73. Let p = -86 + d. Let q = p + 42.00142. Round q to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 - 166. Suppose -4*f = 4*q - 8, 4*f + 7 + 3 = 5*q. What is the nearest to f in t, 0.3, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 12*o**2 + 126*o + 216.\nAnswer: -2*(o - 12)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 7, m: 2, l: 4, u: 3}. Give prob of sequence lfm.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - 69 - 0) + (-9)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*(1 - 12))\/(24\/(-216)). Calculate the greatest common factor of s and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1910*j = 1047*j + 224732 for j.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -57. Solve -r + 1 = z*t - 6*r, 4*r - 12 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -968*k**3 + 0 + 10*k**2 + 5*k + 11*k**4 - 1\/20*k**5. Factor t(u).\nAnswer: -3*(u - 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -709*v. Let p(q) = 2*q. Give c(p(y)).\nAnswer: -1418*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 2. Let z be r(2). Let u(s) be the second derivative of -s**4\/12 + 14*s**2 - 15*s. Let c be u(5). Solve -3*f - c = -z*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (23\/20)\/(-21 - (-1575)\/(-50)) and 97\/350.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 2514*l**4 + 2*l**3 + 452*l - 10016. What is the third derivative of f(n) wrt n?\nAnswer: 60336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.89 - -2.19. Let s = -0.47 - -2.57. Let r = i - s. What is r rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3 + 504*i**2 - 498*i - 1004 = 0.\nAnswer: -1, 2, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/242 and -57\/6413.\nAnswer: 12826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + 117714?\nAnswer: 117702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 171007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*k + 5. Suppose w + k*q = q - 3, 7 = w - q. Suppose 3*g + w*p = 68, p + 5 - 6 = 0. What is the least common multiple of g and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -73. Let d = a - -57.9999933. Round d to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -511*a**2 - 2*a + 528. Let d(w) = -19418*w**2 - 77*w + 20062. Let k(c) = -2*d(c) + 77*j(c). Differentiate k(x) wrt x.\nAnswer: -1022*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 613995, 2455988, 5525977, 9823962?\nAnswer: 15349943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/2 - 1017*l\/2.\nAnswer: 3*l*(l - 339)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*b - 5. Suppose 3*p = q - 2*p - b, 0 = p. Suppose q*h - 2*h = 10. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13.78 (b) -0.4 (c) 3\/13 (d) 2 (e) -1\/4 (f) 4.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -4, 2 in decreasing order.\nAnswer: 4, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**3 - 8*u**2 + 90*u = 0?\nAnswer: -9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.5 + 21.6. What is the nearest to u in -3\/4, -1\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a8ab3 (base 12) to base 15.\nAnswer: 23d586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-55)\/10)\/(-11)*(-8)\/2 + 1418. Calculate the highest common factor of r and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*5*(-2)\/(-115). Let c be (-5)\/(35\/2)*21\/27. Sort -4, c, 1, w in descending order.\nAnswer: 1, w, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 6:56 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 62 = 23*z - 40. Solve 0 = 4*g + 2*b, 0 = g - z*b + 3*b + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 + 9*j**2 - 31*j**2 + 12*j**2. Let s(y) be the second derivative of -43\/12*y**4 + 0*y**2 + 0*y**3 - 30*y + 0. What is n(s(a))?\nAnswer: -5547*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**3 + 3*z**3 + 17*z**3)*(-44*z**2 + 100*z**2 - 40*z**2).\nAnswer: 224*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 308 divided by 20929\nAnswer: 308\/20929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 1\/4*p**5 + 3\/4*p**4 + 0*p - 1\/14*p**7 - 1\/8*p**6 + 0 + 16*p**2 + 0*p**3 - 1\/112*p**8. Let j(z) = 0. What is z?\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 6. Let g = -11 - -18. What is the tens digit of r(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.765 times -5?\nAnswer: 48.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a decade in months?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**8\/28 + 11*s**7\/14 + 191*s**4\/6 + 7*s + 10. Find the third derivative of k(j) wrt j.\nAnswer: 240*j**3 + 1980*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d**3 + 520602*d**2 + 4834815*d - 3719050 = 0 for d.\nAnswer: -10, 5\/7, 74381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 8*q - 7. Let v be w(-9). What is the derivative of -4*z**v - 2 + 0 + 0 + 5 wrt z?\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l - 7. Let r(c) = -5*c + 7. Let f = 5278 - 5272. What is f*w(o) + 5*r(o)?\nAnswer: -o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/8264 and 45\/7?\nAnswer: 57848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50*i**2 + 12*i**2 - 4*i**2)*(3 - 4 + 2)*(382 - 525 - 2653 - 5) in the form b*i**2 + y + a*i and give b.\nAnswer: 117642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -748, -4471, -13610, -30565, -57736?\nAnswer: -97523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 1. Let p(n) = 29*n**2 + n. Let u be p(c). What is the tens digit of 3\/(-1)*u\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 9 = 3*r. Find the second derivative of -4*v**3 + 4*v**3 - v + 3*v - r*v**5 wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 821665847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 4. Let d(m) = -m - 1. Let y(h) = 2*h + 4. Let g(b) = 4*d(b) + y(b). Let x(k) = k**2 - k. What is n*x(c) - g(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9641 is divided by 61?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4353704 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(153))\/(sqrt(576)*-3) - (5*sqrt(68)*3*-1)**2)*-4.\nAnswer: sqrt(17) + 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2044 and 0.133.\nAnswer: 2044.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.348 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 - 112*r**2 + 284*r**2 - 104*r**2 + 4*r - 10 - 8*r**4 - 67*r**2 in the form x*r**2 + f*r + i*r**3 + n + c*r**4 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3 - 0. Suppose 5*v - 5*k - 30 = 0, -3*v - k + 3 = y. Solve v*z - 3*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9000 divided by 72?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -j + 96. Solve 3*t + o - j = 0, -5*t + 0*o - 3*o + 32 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 204539782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113712, 113560, 113394, 113208, 112996, 112752, 112470, 112144?\nAnswer: 111768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/114 and 10\/8151.\nAnswer: 16302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 55. Calculate the least common multiple of 44 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 1. Let r(n) = 0*n - 2*n + 0*n + 3*n + 1. What is -3*f(h) - 2*r(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -49, -58, -71, -88, -109, -134?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2304 and 72.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q + 116 = 0. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.044 and 0.09687.\nAnswer: 0.00426228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6283141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16843194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 9:59 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y - 6. Let d(t) = 2*t + 3. Let r(o) = -b(o) - 2*d(o). Let n(h) = 71*h**2 - h. Determine n(r(s)).\nAnswer: 71*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 78 = 109. Suppose -5*f + 104 = -0*q - 3*q, -46 = -2*f - q. Calculate the highest common divisor of f and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00232735 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25966.000014851 - 25966. What is c rounded to seven decimal places?\nAnswer: 0.0000149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 34. What is the highest common factor of l and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 160587 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 - (-10)\/6. Suppose -12 = 2*l - 4*z, -z = -l + 4*z - 18. Suppose l*v = 4*x - 8, x - 2*x + 1 = -v. Is x equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -n, 0*n + n - 14 = -224*g + 221*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/20*72\/27)\/((130\/425)\/13)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29431398*y**2 - 136641*y - 11 wrt y.\nAnswer: -58862796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-8 + 1 - (21 + (-17 - 3))) - -40?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5 + 63*n**4 - 123*n**3 + 61*n**2 = 0. What is n?\nAnswer: 0, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15792 and 20832?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (15 - 11) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1416\/5, -5 in descending order.\nAnswer: 1416\/5, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.3 + -492.825.\nAnswer: -500.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228)*-5)\/sqrt(12).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20407085.\nAnswer: 5, 257, 15881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.28 - 0.02. What is the third smallest value in -4\/9, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 + 0*m**5 - m**5 + (2*m + 2*m - m)*(0*m**4 - m**4 + 4*m**4) - 3*m**5 + 3*m**5 + m**5.\nAnswer: 11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 572036 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y = -16*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + g**2 - g**2)*(0 + 0 + 2*g) - 2*g + 3*g**3 + 2*g - 668*g**3 - 454*g**3 + 142*g**3.\nAnswer: -981*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10499 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(4*4\/(-40)). Let y be (-14 + -2)*((-55)\/2)\/n. What is the highest common divisor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -78 - -1811?\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1924, -3879, -5858, -7873, -9936?\n\"Answer: -2*f**3 - 1941*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90898171, -90898167, -90898163, -90898159, -90898155, -90898151?\nAnswer: -90898147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/9))**(-2\/37)*d*d\/(d*d**(-7\/2))*d\/(d**8\/d))\/((d\/(d\/d**(-4\/11)))\/d**(-1))**(2\/13) assuming d is positive.\nAnswer: d**(-153325\/95238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 37 = -7*r, -3*r + t + 170 - 188 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 736 + -496. Suppose -12*i + g + 240 = 0. What is the remainder when 156 is divided by i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1010011010101001001011101?\nAnswer: 1010011010101001001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6832884 litres to millilitres.\nAnswer: 683.2884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 213 - 203.8. Let j = 3.6 + i. Round j to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 26 - 11439*h**2 - 36.\nAnswer: -11439*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/47682 and -28\/71523.\nAnswer: 143046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671670 (base 11) to base 4.\nAnswer: 10011131033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7 + 7*u - 13*u - 11*u**2 - 4*u. Let c(g) = -7*g**2 - 7*g - 5. Let n(k) = -8*c(k) + 5*i(k). Determine n(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Let q = x + -5. Suppose 207*l - 855 + 234 = 0. Which is the second smallest value? (a) -2\/9 (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/27)\/(1\/15). Suppose 15 = f*y + 4*l, l = 3*y - 2*l - 9. Let v(o) = 2 + y*o**2 - 2 + 0. Let p(m) = 7*m. Calculate p(v(g)).\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 6 - (-2 - -21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, -285, -342, -419, -516, -633, -770?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31584416561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 485706 (base 15) in base 7?\nAnswer: 41263152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3 + 1 - 2 + 0*w + w. Determine x(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 466 - -609. Suppose -25 = 10*q - i. What is the highest common factor of 70 and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*j = 5*p - 571*j + 284*j + 85, 0 = 7*p - 4*j - 25 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -27*-1*(-2)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72360 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7240 - 3477. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5346 and 34047486.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -65, 9, 1\/4, -0.3 in increasing order.\nAnswer: -65, -0.3, 2\/21, 1\/4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -3. Let y(s) = -s**2 + 12*s + 6. What is the remainder when y(9) is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 8, 39, 80?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -74612*o - 13206331. Determine y(-177).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47442 is divided by 59.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1248785804 to the nearest integer?\nAnswer: 35338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 10:36 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 25 = 5*d. Solve 3*b = 2*w - b + 8, -5*w + d*b = 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 8:43 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n + 15. Let d be b(5). Suppose d = 87*g - 70*g - 16524. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70*18\/50*494\/(-2223).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 11:00 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 95*g**3 - 1 + 124*g**3.\nAnswer: 29*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*k + 76 + 788. Let x = -32 + k. Solve f - 21 + 23 = x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6097, 12191, 18285, 24379?\nAnswer: 30473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03494 to 3 dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2))**(-19\/5)\/((d\/d**(-3\/2))\/(d*(d**(-1\/10)*d*d)\/d)*(d\/((d**(-1\/2)*d*d)\/d))\/d*d\/(d*d*d**(-3\/8)*d*d)*d) assuming d is positive.\nAnswer: d**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 23 = -7. Suppose 0 = 5*b - 3*b - g. Suppose -h = -4*h - 9. Sort 1, h, b.\nAnswer: h, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 88, -2\/3?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51788 + 35155. Is -16633 != j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 3*x + 4. Let q be l(4). Let a = -12483 + 12486. Suppose -a*n = b - 34, q - 26 = -n - 2*b. Solve -j + n = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 692654, 8, 0, -2, -0.3 in descending order.\nAnswer: 692654, 8, 2, 0, -0.3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - 7*p**2 + 3*p + 7. Suppose 5 = -3*z - 3*x + 44, -3*z - x + 43 = 0. Suppose 3*f + 0*f + 6 = 0, 5*f - z = -5*q. Is w(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*1*141\/(-94). Suppose 4*j + 4*y = 14 + 14, 4*j = y + 28. Let h(u) = 7*u + u**2 + j - 1 + 2*u. What is h(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**3 + 2*z**2 + 2*z - 2. Let t be p(-2). Let f be t\/(-14) - (-2)\/(-7). Suppose 77 = 2*o + f*n, n = 4*o - 2*n - 145. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5565?\nAnswer: 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23801549742.62201966 + 23464727452.922019. Let o = 336822286 + z. Let x = -3.7 - o. Round x to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 27.07.\nAnswer: 8.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3053551 litres to millilitres.\nAnswer: 305.3551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 615*x**7\/7 + 67*x**3 + 265. Find the third derivative of j(l) wrt l.\nAnswer: 73800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1249 - -1248.7. Let d be (-2 + -1)\/((-78)\/4). What is the nearest to 0 in 4, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.82701mg in kilograms?\nAnswer: 0.00003382701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35198990 times 2?\nAnswer: 70397980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*21112.\nAnswer: -907816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -45. Which is the closest to -1? (a) t (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 602 = 17*g - 103*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1581*d - 4. Let l(w) = 3162*w - 9. Let g(m) = -4*l(m) + 7*y(m). Is g(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -17*r**2 + 29*r + 95. What is n(-3)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156720 = -8993*u + 9009*u. Suppose 0 = -2*j + 2 + 6. Suppose -x = 2*c + j*x - 6518, u = 3*c + 3*x. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h + 225 = 22*h. Let a be h + -16 - 5\/1. Calculate the highest common divisor of a and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 6*w + 3*w - 2*w + 2*w wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 11 - 4)*(-21 - y + 21).\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 6:56 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 14 = -f. Let b be (-4)\/2*f\/(-2). Let i = b - -11. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/2)\/((-1)\/(-2)) - 21)\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 159*s + 2. Let o(i) = 2*i**2. Calculate o(r(d)).\nAnswer: 50562*d**2 + 1272*d + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230968?\nAnswer: 2, 28871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*x - 47 = 0, -2*i - 2*x = x + 31. Let s be (-2)\/(-10) + (-196)\/(-20). Let r = s + i. Solve -3*p + 16 = -2*t - 5*p, -t + r = -p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (51\/(-102))\/(2\/20*(-40)\/155616)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 8:08 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3003926 and 944.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a + 2. Let f be y(3). Suppose f = h + 3. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.304651 rounded to two dps?\nAnswer: -11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c + 2. Let o be (-3)\/(-1 + -1 + 1). Let l(q) = -5*q + 2. Let h(b) = 2*b**3 - 18*b**2 - 22*b + 16. Let p be h(10). Calculate o*y(m) + p*l(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/9)\/(9975\/1710).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v - 4*v)*(57 - 63 + 49 + (0 + 1 + 0)*(-2 + 0 + 4) - 4 + 4 - 2).\nAnswer: -43*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 342*g + 9891 - 4419 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -473*u**6\/6 + 14*u**3\/3 + 5*u - 742. Find the third derivative of j(a) wrt a.\nAnswer: -28380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-1*2\/6). Let x(c) = 2*c**2 + 3*c - 3. List the prime factors of x(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**4\/4 + 5*z**3\/2 - 2*z. Factor w(c).\nAnswer: -3*c*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26c42 (base 14) to base 6\nAnswer: -2015030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 6. Let v be f(6). Let y = v + 6. Let z be (y\/(-6))\/(1\/(-2)). What is the highest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 11. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169 + -117. Calculate the greatest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1320)\/(-3696)*(-12)\/(-5)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 8439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -277\/780 - -8\/39. Let f be -2*1\/((-8)\/3). Let m = f + b. Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 21 = -5, -5*c - 4*s + 26 = 0. Suppose 0*h + 39 = 2*f + 3*h, 0 = f + c*h - 22. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.71?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m. Let l(o) = -408*o. Determine l(z(x)).\nAnswer: -3672*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 - 13 + 106)*(-24 - 21 + 2)*(-2*r - 4*r + 2*r).\nAnswer: 8256*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 14 = 2*p, 5*p = l - 3*l - 64. Let g = -8 - p. Suppose -2*y + 10 = -g. Calculate the least common multiple of 5 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 18 = 2*p. Let h be 22\/18 - (-4)\/p. Which is smaller: h or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 10. Let x(l) = 10 + 2 - 1. Let t(z) = 3*h(z) - 2*x(z). Is 16 a factor of t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -305 + 206. Let h = j - -101. What is the closest to 0.8 in 1, 0.4, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - g + 3)*(2*g + 2*g - 2*g) - 2*g**2 - g**2 - g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 26*u**3 - 6*u**3.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (377383\/(-5372))\/(7*1) - (1 - 11)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339837 a multiple of 439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28805295149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14416 and 2?\nAnswer: 14416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 1. Let p be s(-4). Let h(o) = -1. Let v(q) = q - 5. Let c(d) = -2*h(d) + v(d). Let w(k) = 4 - 2*k - 1 + 2. Determine p*c(b) + 3*w(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30632888 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -22444*c - 31. Let j(h) = -3207*h - 4. Give -2*i(y) + 15*j(y).\nAnswer: -3217*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53494.\nAnswer: 2, 7, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2\/6 - 316*w\/3 - 3110\/3 = 0?\nAnswer: -622, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 14.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/6 + -3 + 0. Let n = -85\/1778 - 3\/127. What is the nearest to n in s, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 + h**2 + h - 39. Calculate g(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 2\/1657, -0.5 in descending order.\nAnswer: 2\/3, 2\/1657, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11 - 2) + (2 - -6) - -7) + 20.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 - j - 5. Let r(t) = -12*t**2 - 2*t - 14. What is -3*r(o) + 8*v(o)?\nAnswer: 4*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 243123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 369195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -14 - 4) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 28\/(-18) - (-8)\/24.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7200 - 1880 = 0. Suppose 100 = -6*s - x. Let p = s + 1362. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 43\/2 of a tonne?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 3. Let g be 1*-6*-14 + 1 + -3. Suppose -7*k = -5 + g. Give q(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 + 3685333*j - 103189373\/4.\nAnswer: (j - 7)*(j + 14741339)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, 60, -4\/7, -3.1 in ascending order.\nAnswer: -3.1, -4\/7, 1, 17, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 619.4424 millilitres?\nAnswer: 0.6194424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2579, -1\/4 in descending order.\nAnswer: 2579, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b + 9 - 51. Let t be 0*(-1 - (0 + 0)). Suppose 0 = -i - y + 9, t = 2*i - b*i + y + 33. Solve -i + 1 = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.7045 - 21.798. What is z rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**2 - 21208083*s - 42416154 = 0?\nAnswer: -7069359, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 554 (b) 0.5 (c) 3447 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.70817682 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-2\/37)\/v)\/v)\/v*v)\/((v\/v**(-4\/9))\/v))\/((v*v**(-20)*v)\/(v**9\/v)) assuming v is positive.\nAnswer: v**(7826\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15222734, 60890913, 137004544, 243563627?\nAnswer: 380568162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11321 = 5*m + 3*n, 2*m - 31*n + 27*n + 4544 = 0. Round m to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60670237 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 53*x**3\/6 + 217*x**2\/2 + 30*x. Let l be c(-4). Let o(k) = -k**3 + 5*k**2 - 5. Determine o(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14511 and 4146.\nAnswer: 29022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 978120 a multiple of 3432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -5.\nAnswer: -7, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.653 + 1.6531354. What is h rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - -a?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 41. Let u(t) = -t**2 - t. Let i(j) = h(j) - 2*u(j). Let z(a) be the first derivative of i(a). Let b(x) = -4*x - 3. Determine 4*b(n) + 3*z(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 5*b**2 - 2*b**2 + 20*b)*(b + 3*b - 2*b).\nAnswer: 6*b**3 + 28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from {a: 4, m: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6853245 to the power of 1\/2, to the nearest integer?\nAnswer: 2618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 38*o + 1516. Let y be a(-40). Sort 5, 1, y in increasing order.\nAnswer: y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 4 + 283*t**2 - 352*t**2 - 1 + 6 - 213*t**2 to the form n + b*t**2 + j*t and give b.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -0.2 (c) -8661 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/52 or 1?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + -7 + (-3)\/(-1). Suppose -y*d + 4 = -d. Suppose x + 81 = 3*q + 5*x, 2*q = -d*x + 50. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 4*k + 6*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by (-2 + (-24)\/(-30))\/(4\/(-20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47268)\/4848)\/(10\/(-5))?\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 112c - 1?\nAnswer: 112b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 549 + -548.9092. Round c to three dps.\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/108)\/(-2 + 62\/16)*2190\/12.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 11*q - 7*q. Suppose 0 = -2*u - 4, -5233 - 951 = -q*g + 4*u. Calculate the common denominator of g\/320 + -2 + -1 and -83\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2\/9 (c) -3 (d) 733353\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 6*r + r = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*p + 205 = 185 - 493 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 17. What is the tens digit of 4\/v - (-531)\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l + 34*l + 3468 = 39*l. Suppose -4*i + 0*i = -140. Calculate the remainder when l is divided by i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002597 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*f - 32, -4*s = -13*f - 249 + 448. Let n be ((-1)\/(-3))\/((-3)\/(-18)). Solve 5*p - f = -3*d, -1 = -5*d + n*p - 7 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j. What is the remainder when 39 is divided by (-3 - j)*-7*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 14) to base 8.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + w**2 + 2*w. Let f(k) = 22*k**3 - 8*k**2 - 12*k. Determine -f(z) - 6*i(z).\nAnswer: -28*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10011122 (base 3) to base 11\nAnswer: -1812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 2\/3*-6. Let y = -4 - z. Sort 2, -1, y.\nAnswer: -1, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459314047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d)**15*d**(-5\/7)\/d*d*d**(-14)*d assuming d is positive.\nAnswer: d**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100165)\/454480 - 15\/(-95).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 13*l - 52. Let h(a) = -7*a - 5. Let x(i) = 11*i + 8. Let b(u) = 8*h(u) + 5*x(u). Let r(o) = 2*b(o) + j(o). Let m be r(5). Solve m = -8*n + 5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10010 - 3?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2709127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 84*n + 5267. Determine h(-126).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -16537\/10705 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49812854 * 0.12.\nAnswer: -5977542.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151*f - 282*f + 180*f)*(3 - 5*f - 3).\nAnswer: -245*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/((-5)\/(-61)))\/(5 + (-4588)\/20) and -157\/1020.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 495 = 2*d. Let y be (-4750)\/(-45) - 24\/(-54) - 6. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + v - 8, -2*a = -3*a - 3*v - 4. Let s = a + 20. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 49*n**2 - n - 13. Give l(49).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*l + 4, -2*l = 3*l + h - 12. What is the common denominator of -95\/18 and l\/8 - (-82)\/(-20)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(130) + sqrt(130) - ((1*sqrt(130) + sqrt(130))*2 + sqrt(130)))\/(sqrt(50)\/(2*sqrt(5)) + (-1*sqrt(360) - sqrt(10) - sqrt(10))).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1371*n - 2*n**2 - 502*n - 389*n.\nAnswer: -2*n**2 + 480*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (234\/(-65))\/((-3)\/(-10)). Is -12 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1096*x**3 - 1031*x**3 - 61*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -10. Factor g + 2\/5*u + 4\/5*u**2 + 2\/5*u**3.\nAnswer: 2*u*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8285+-4\nAnswer: -8289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-6))\/((-147)\/9). Let m = 410\/441 + h. Determine y, given that m*y + 8\/9 + 2\/9*y**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**3 - v**2 - 1. Let n(l) = 13*l**3 - 4*l**2 - 3. What is -9*a(c) + 2*n(c)?\nAnswer: -c**3 + c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 166 - 166 + 11*d - 69*d in the form h*d + p and give h.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2292\/12224*(-16)\/(-3)*61\/(-1).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21\/4*h**2 - 1\/4*h**4 - 2*h**3 - 5 + 2*h = 0 for h.\nAnswer: -10, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**4\/12 - 7*m**3\/6 - 31*m + 1. Factor p(v).\nAnswer: v*(v - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*p + 16*p + 124 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 11*b**2 + 28*b + 29. Let v be r(-13). Let f(j) = 5*j**2 - j + 5. Let w(n) = -4*n**2 + n - 5. Give v*w(c) + 2*f(c).\nAnswer: -2*c**2 + c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/68)\/(15*(-24)\/(-14400))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26456051 to the nearest integer?\nAnswer: 5144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 5 = 6*j + 31 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -3881714 and -3881708 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/119)\/(1\/2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 18)\/(-3)*-1. Let b = m + 23. Calculate the greatest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -754a71a (base 11) to base 12.\nAnswer: -4544690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/51 and (2\/(-20))\/((-34)\/212)?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -0.4. Let d = q - -4. Let o = -0.04 - -0.34. Sort o, 3, d in descending order.\nAnswer: d, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 12*w**2 + 13*w - 16. Let z be u(11). Let x(f) = -14 + f + z + 1 + 0. Let v be x(10). Solve 3*j + v*d - 6 = -2*d, -2*d = 3*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**2 + 6. Let i(d) = -d**2 - 2. Let z(b) = f(b) + 3*i(b). Let o(t) = t**2 + 26*t. Give z(o(j)).\nAnswer: 3*j**4 + 156*j**3 + 2028*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 26*c - 317. Let w be t(-35). What is the nearest to 1 in w, 7, 2\/217?\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 3\/(-9))*-3. Is 8 a factor of (-236)\/(-10) - 4\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -48. Let p be 88\/(-14) + x\/56. Is p >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 12 = 0, 0 = -4*p + 3*w - 54 + 21 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 15 = -3145*y + 3140*y, 14*p + 9 = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 511140101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y. Let s be f(-4). Solve -7*v = -s*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1*3*1100\/(-825)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 391 and 122417.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(12)*-1))\/(sqrt(11) + sqrt(22)\/(1*sqrt(2))).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiitivvti. Give prob of sequence vt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 30*s + 5. Let g be m(-30). What is the greatest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 0*j**3 + 4*j**3 + (3*j**2 - 3*j**2 - j**2)*(-3*j + 0*j + 2*j) - 2*j**3 + 2 - 2 + (3*j**2 + 0*j**2 - j**2)*(-2*j + 3*j - 2*j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179072807\/28932458128 - 699\/525586. Let z = -4\/983 - d. Is 1 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 72*k + 3 - 11*k - 5 + 3. Let g be p(-1). Calculate the lowest common multiple of g\/(-8)*(-4)\/(-5) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 7. Let f(d) = -d**3. Let c be 1 + (21\/3 - 2). Let q(h) = -5*h**3 - 5*h**2 + 4. Let l(k) = c*f(k) - q(k). What is l(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13279857 to the power of 1\/2, to the nearest integer?\nAnswer: 3644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -69 + -90?\nAnswer: -f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 - 5*t - 4. Determine f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*a + 175*a + 187*a - 25704 = 75*a. Let o = -7 + 18. What is the remainder when a is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(15\/(-6))*-5*2. Is 5 - (3 + -11 - p) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1) - 30\/3. Let v(c) be the second derivative of c**5\/20 + 2*c**4\/3 + 4*c**3\/3 + 7*c**2\/2 - 6*c. What is v(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-14)\/(-124)))\/(-18*(-42)\/1764).\nAnswer: -62\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11063 + -10955. Solve -109*h + 2*n = -d*h, -4*n = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/12 + 6\/4 + -7 - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 11:24 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 10*c**2 - 9*c + 2. Let q be t(-9). Suppose h - q*h = -1. Suppose 0 = d - h, -w - 4*w + 5*d = -40. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 965537306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 14*q**2 - 10*q + 11. Let c be u(13). What is the highest common divisor of 25 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u. Suppose 3*q - 85 = 2*i - 29, -2*i = 5*q - 72. Let t be 3 - -4*(-4)\/q. Let g(f) = 7*f**2 - f**t - 2*f**2. Calculate y(g(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2.932. Let n = 0.0679973 - i. What is n rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2555, 10620, 24187, 43262, 67851, 97960, 133595, 174762?\n\"Answer: s**3 + 2745*s**2 - 177*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 217 and 157976.\nAnswer: 157976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 337104.\nAnswer: 337104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 42*n + 22572 = 0. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 5, 0.045, 2\/13 in descending order.\nAnswer: 5, 2\/13, 0.045, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25148, -53538, -81928, -110318?\nAnswer: -138708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 27090 = 3*a. Suppose -2*n = 2*r - 800, 688 - a = -5*n + 2*r. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 62 - (5 + -48)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/144 and 101\/8.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*q + w + 1, 0 = -q + w + 5. Suppose -3*j - 163 = -4*g, 0 = 3*j + q + 2. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 4*i**2 - 9. Give a(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + g + 2 = 2*f, 0 = -3*g. Which is the third biggest value? (a) -1\/4 (b) -8\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -0.6, -4, 104, 0.83?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -748089*m*s**3 - 57*m*s**2 - 81772*s**3 + s + 65 wrt m.\nAnswer: -748089*s**3 - 57*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 312120220 (base 4) in base 8?\nAnswer: 663050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -10*b + 5. Let l(w) = 0*w - 3*w + 1 + w + w. Calculate 5*l(k) - t(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a milligram in micrograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 10 = -3*j. Let y(s) = s + 2. Let z be y(j). Is 1 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5)**13\/(t*t**(3\/8)*t*t**(-21)) assuming t is positive.\nAnswer: t**(669\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2. Let t(m) be the third derivative of 0*m**4 + 0*m**3 + 1\/30*m**5 + 0 + 0*m + 2*m**2. Determine i(t(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 24 = x + 40, 4*b - 4*x = 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*y**2 + (-1 + 4 - 2)*(2*y**2 + 2*y - 2*y) + y - y + y**2 - y**2 + 1 - 1 + (21*y - 29*y + 174*y)*(y - 2*y - 7 + 4).\nAnswer: -162*y**2 - 498*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*i + 43. Let w be (i\/(-6) - 0)\/(4\/(-84)). Suppose -4*x - 4*v + 6 = -w, -v = -x + 3. Solve t + x = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + s**2 + s**2 - 21*s.\nAnswer: -s**2 - 21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 3*c + 2. Let y be j(-4). Let l be 6 + (-1 - 1)\/y. Suppose l*q + 169 = 2*n + 2*q, -5*n + 470 = -3*q. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -69 = -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*h + 67854 - 65358 = 0 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31408123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -0.97. Let u = f - -6.97. Let p = -5 + u. Which is the closest to 0? (a) 0 (b) -0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**3\/a)\/(a*a**(-11\/5)))\/((a**(1\/12)\/a*a)\/a**(3\/2)))**48 assuming a is positive.\nAnswer: a**(1108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 0 - (-3 - 1). What is the remainder when -1*r*(-19 - -10) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2. Let q(y) = -7*y**2 + 8740. Let w(o) = 5*o**2 - 6555. Let k(h) = 8*q(h) + 11*w(h). Give n(k(l)).\nAnswer: l**4 + 4370*l**2 + 4774225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 1a75df?\nAnswer: -1a75dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-15))\/((-70)\/175)*9\/2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/(-391) + 172713\/(-69). Let l = 1708 - -796. Is (-3 - -2)\/(l\/u + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, z: 4, c: 2}. What is prob of sequence zzic?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*a - 1845 = 0, -3*o + 1494 = 2*a - 354. List the prime factors of o.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5298, -10588, -15878?\nAnswer: -21168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 189.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9*i + 395 = 0. Let a = i + -77. Suppose 0*f + a*f + 4*n - 4 = 0, -15 = -5*f - 5*n. Solve 21 = f*r + 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 19*n = -507. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 5*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 4:38 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 2. Let n(s) = 2*s + 3. Let p(o) = -4*n(o) - 6*u(o). Let i(f) be the first derivative of 2*f**3 - 1. Give p(i(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101001001000001000 (base 2) to base 5.\nAnswer: 134131434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -59*n + 34. Let f(k) = 8673*k - 5015. Let v(r) = 2*f(r) + 295*y(r). Let g(w) = 20*w. Determine v(g(t)).\nAnswer: -1180*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -25. Suppose -4*l - r = -23. What is the third derivative of 6*z**l + 12*z**5 + 0*z**5 + z**2 wrt z?\nAnswer: 1080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-15)*23832\/(-26). Let i = -611 + q. Sort 3\/4, 0.1, 7, i in increasing order.\nAnswer: i, 0.1, 3\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(102) - (sqrt(102) + sqrt(102) + -2*sqrt(102)) - sqrt(102))*-5 - (2*sqrt(102) + sqrt(102))*5))\/(sqrt(54)\/(-2*sqrt(144))*-2).\nAnswer: 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 16. Let i = u - -14.1. Sort i, 1, -0.3 in ascending order.\nAnswer: -0.3, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80666.\nAnswer: 2, 53, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) -4 (c) 0.124 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(704) + 2)*2 + sqrt(704))*2 + (sqrt(704) + -1 - sqrt(704))*-4 + 1 + 1)**2.\nAnswer: 1344*sqrt(11) + 25540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {j: 1, x: 19}?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33, -15, -105, -237?\n\"Answer: -21*h**2 + 15*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/5)\/p*p)**(-12))**(-11)\/(p**(-9\/5)*p*p**(-3)\/p)**(-31) assuming p is positive.\nAnswer: p**(-216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8415 or 3642?\nAnswer: 8415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen quarters of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 770 and 52850?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*a + 6*a + 80, 2*k - 2*a = 28. Suppose -4 = 4*z, 4*w + z - k = -0*z. Let g(q) = 31*q - 61. Let t be g(2). Solve 21 = w*m + t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 424 + -4?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5 = -3*q + 4, 5*p + q - 3 = 0. Suppose p = -v - 2*v + 5*i + 65, 5*i + 5 = -v. Suppose -6*f + 100 - 70 = 0. Solve f*m = -v - 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6546 + 15455.\nAnswer: 22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**2 - 5*g**2 - g**2 + (-4*g - 4*g + 2*g)*(-1 + 1 + g).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (4 - 6)) + 1 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*p = -k, 5*p = -k. Is k less than or equal to -3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200122012100 (base 3) in base 11?\nAnswer: -230673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7050244, -7050245, -7050246, -7050247, -7050248?\nAnswer: -7050249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 0 - ((2 - 43) + -66 + 83)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 653 or 725?\nAnswer: 725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. Let w(c) = 0 - r - c**3 - 2*c**2 + 3 + 3*c. Determine w(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*a**2 + 17*a**2 - 19*a**2 + (-10*a + 2*a + 2*a)*(-3 + 3 + 4*a) + 3*a**2 + a**2 - 3*a**2 in the form k*a**2 + w + u*a and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/14 + 5 + 165\/(-35). Which is the nearest to -1\/3? (a) -0.09 (b) o (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*1*(5 + -4). Suppose -2*l + 10 = c, 0 = 2*x - 0*x - l - 35. Let m be 45\/27*(-6)\/4*-2. Solve -3*b + x = m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**8\/8 + a**6\/15 - a**4\/3 + a**3\/2 - 35*a. Find the third derivative of h(n) wrt n.\nAnswer: -840*n**3 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2. Let r(j) = 252*j + 48. Let n(i) = 51*i + 10. Let p(u) = 24*n(u) - 5*r(u). Calculate p(l(c)).\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242999.\nAnswer: 242999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1219)\/(-795)*350\/2415.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39980 to the nearest one thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119114735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 0*f - 3*f)*(40 + 8 - 26 + 41) to y*f + d and give y.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4087*g - 3319*g = -17181*g + 27245 + 224041 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343, 548, 905, 1426, 2123, 3008, 4093, 5390?\nAnswer: 6911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1645.\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15028 divided by -68.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1286671 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**3 - h**2. Let v be i(1). Find the second derivative of -4*n + 2*n + v - 6 - 2*n**4 wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 279 + -274. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2 + 1228*o - 2461*o + 7 + 1236*o. Let i(n) = -2*n - 5. Let k(v) = 3*v**2 - 2*v - 4. Let q be k(2). Calculate q*a(x) + 7*i(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 37. Suppose -y = -5*q + 123. Suppose u + 16 = n + n, -3*u - q = -4*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**4 + 23456*g**3*j - 9085*g**2 - g*j wrt g.\nAnswer: -24*g + 140736*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2425505 + -45?\nAnswer: -2425553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iici. What is prob of sequence iic?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25035 (base 8) to base 12.\nAnswer: 62a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from cckcddkcccccc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 5*z**2 + z. Let m be x(6). Suppose -s + 47 = 5*g - m, 4*g - 436 = -4*s. Is 44593\/s + (-2)\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -3)\/((-3)\/(-12)). Is (46\/8)\/((-1)\/h) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41505455 (base 7) in base 11?\nAnswer: -1a79a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 8) to base 14.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143310 and 204.\nAnswer: 286620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -8\/100471?\nAnswer: -8\/100471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 531684?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.97 - -0.03. Let g be ((-120)\/135)\/2*9. What is the closest to x in -2\/5, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k**4\/5 - 22*k**3\/5 - 46*k**2\/5 + 22*k\/5 - 2\/5 = 0. Calculate k.\nAnswer: -1, 1\/8, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 764207.3ml to litres.\nAnswer: 764.2073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 7*x**4\/24 - 2*x**3 + 6*x**2. Let c be (2\/((-6)\/(-15)))\/1. What are the prime factors of o(c)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186126951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/25, -2, -83, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**5\/80 - 19*y**4\/16 + 10*y**3 + 72*y**2 + 3. Suppose t(u) = 0. Calculate u.\nAnswer: -40, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -275, -44 in decreasing order.\nAnswer: 4, 3, -44, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01453*0.156.\nAnswer: 0.00226668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 2\/5, 3, 1\/15, -1\/3, -4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 6*b + 1 + 0)*(0 - 4463*b + 1113*b + 0).\nAnswer: 6700*b**2 - 3350*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-15)\/(-12) - 7262\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94536, -94572, -94608, -94644, -94680?\nAnswer: -94716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.0063, 1\/4, 0.3 in descending order.\nAnswer: 0.3, 1\/4, 0.0063, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 113?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - 13*p - 55. Determine s(8).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 644 + -639. Suppose 27 = -3*g + 216. Let m = -43 + g. Solve p*s = s - m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 15*i + 40. What is i rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2 + 8*u**2 + 5 + u**3 - 2*u**3. Let y be c(8). Find the first derivative of l**2 - 3*l**2 - 2 + y*l**2 wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107575933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1857*k**5 + 198*k - 3772*k**5 + 2*k**3 + 1601*k**5 wrt k?\nAnswer: -6280*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -112 + 217?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 2, 82, -4 in decreasing order.\nAnswer: 82, 40, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 1177 + 225 = 0. Calculate the remainder when p is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 77035109873.\nAnswer: 77035109869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f - 34*f = 475. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -29\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(8) + 5 - ((sqrt(19) - 2*sqrt(19))*6)**2) + 2*-5*(sqrt(19) - (3 + (sqrt(76))**2)).\nAnswer: -9*sqrt(19) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 30. Let y be 32\/o + ((-8)\/(-14))\/(-2). Differentiate 18 - 40*x**y - 43*x**2 + 83*x**2 - 12*x**3 with respect to x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 10230.\nAnswer: -2\/1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1440\/42)\/6 + -6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31301 + -10112?\nAnswer: -41413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2410398 and 16200.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4995730451?\nAnswer: 4995730451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -216368*o. Let a(l) = 2*l. Give a(u(d)).\nAnswer: -432736*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -101100010100001010 (base 2) to base 16\nAnswer: -2c50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 6 - 1 + 2*l**2 - l**2. Let j be o(4). Suppose 0*d = -d + 4, -m + j = 3*d. Calculate the highest common divisor of m and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/40 and -89\/236.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15899080229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1212875, -1212880, -1212889, -1212902, -1212919, -1212940, -1212965?\n\"Answer: -2*r**2 + r - 1212874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -346000 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313967 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1189 is divided by 150?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujjddjjjqju. What is prob of picking 2 d and 2 u?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 2*n**5\/5 - 3*n**4\/2 + 4*n**2 + 8. Factor g(u).\nAnswer: 2*u*(u - 2)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 5 = -3*f. Let m be -3 + f + (-2 - 1). Factor 0*s**3 - 4\/3*s**2 + 2\/3 + 2\/3*s**4 + m*s.\nAnswer: 2*(s - 1)**2*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36 - 8) + -23 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u**3 + 100*u**3 - 41*u**3 - 98*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-5)*105\/(-42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y - 39. Let c = -24198 + 24195. Determine z(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62510 = -2621*m - 41542 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 506 - 504. Solve -3*x + 5 = -r*i, -5*x + 5 = -i - x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/9 + (-48)\/(-9). Let m(x) = 3*x**2 + 3. Let c be m(3). Suppose 10 = -i*q + c. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -16, -7, 4.\nAnswer: -16, -7, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -15\/1732 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2430*t + 1901*t - 6144*t + 2489*t - 7538*t**2 wrt t.\nAnswer: -15076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.373 and -1.6.\nAnswer: -1.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 965014907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-14))\/(80\/1120). What is the closest to 3 in 0.4, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 690 + 341*j + 210*j - 205*j + 151*j.\nAnswer: 497*j + 690","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*i + 3936 = 620*i - 70*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 2, i: 1, a: 7, l: 6}. Give prob of picking 2 a.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 27327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.95 + -0.05. Suppose 20 = -4*b, b = -4*z + 1 - 2. Let m be (z\/(-10))\/((-52)\/(-195)). What is the smallest value in m, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2324564.\nAnswer: 2, 11, 23, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02108232 to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 0, 4*k - 2*k = 5*i - 25. Suppose -5*q - i*f = -45, -q + 15 = q + f. Is 21 a factor of 1 + 3*q + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/3 + 1276*p**3\/3 + 27709*p**2\/3 + 50578*p = 0. What is p?\nAnswer: -1254, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 5*i + 4*m, 3*i + 2*m - 85 = -2*m. Let w be 7\/(i\/15) + 79. Suppose -w - 112 = -u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204445557 to the power of 1\/3, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + 118 + 139 + 125 - 80 - 22*y.\nAnswer: -29*y + 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2 - 2)*(0*b - 6*b + 4*b) + (-4*b + 5*b - 4*b)*(-5 + 1 + 1)*(0*b + 5*b - 2*b).\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -924 divided by 77?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7 = -22, -2*h + 20 = -5*b. Let d(u) = -u**3 + 10*u**2 + u - 6. Let t be d(10). Sort b, 0, t in increasing order.\nAnswer: b, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-25)*v*v*v*v\/(v\/v**24))\/(v**36*v\/v**(-26)))**(-36) assuming v is positive.\nAnswer: v**2124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 763082 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1821*((-7)\/(-21))\/1. Suppose -3*s - 2*z + 1004 = 0, z + 385 = 3*s - x. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 10*x + 8. Let g(s) = -108*s - 655. Let i be g(-6). What is z(i)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 6. Let f be g(-3). Let b(r) = -5*r**2 - 11*r + 6. Let l(z) = -2*z**2 - 5*z + 3. Let j(t) = f*b(t) + 7*l(t). What is the units digit of j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - 2*h - 4*h + 16*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbv when three letters picked without replacement from bvvvvvbvvvvv?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 17. Let j(f) = f + 7743. Give d(j(w)).\nAnswer: w**2 + 15486*w + 59954066","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 27a2 (base 16) to base 3\nAnswer: 111220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 6*q**2 + 24*q + 27. Let r be c(8). Let p = 2 + 47. Let y = r - p. Calculate the highest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 150091967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 17*i - 17. Suppose 5*k + 31 = -y, 0 = -5*y + 5*k - 14 + 9. Let h(j) = -20*j + 17. Let x(p) = y*h(p) - 7*u(p). Let c(m) = 2*m**2. Determine c(x(l)).\nAnswer: 2*l**2 + 68*l + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 2. Let o = -5 - 11. Let j = o - -31. Let a be (0 - 1)\/(5\/j). Give z(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 85*s**5 - 1022*s**4 - 24541*s**3 - 18802*s**2 + 514536*s - 12096 = 0.\nAnswer: -9, -7, 2\/85, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 8*t - 4. Let k be g(7). Suppose -3*f + 2*f + k = 0. Solve f*d + d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-55)\/440 + (-28)\/64*-14. Factor 6\/5*g**4 + 42\/5*g**2 + 0 + 18\/5*g + q*g**3.\nAnswer: 6*g*(g + 1)**2*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 4*w - 1. Calculate j(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1579\/(-2) - 2)*4. Let l = f - -4507. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3409, -3559, -3723, -3907, -4117, -4359?\n\"Answer: -k**3 - k**2 - 140*k - 3267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3\/5 - 65212*h**2\/5 - 848264*h\/5 - 2741088\/5 = 0.\nAnswer: -7, -6, 16316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -18427827\nAnswer: -73711308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -24. Let l = m + -30. Let q(k) = k**2 - 1. Let y(g) = -6*g**2 + 5. Let r(t) = l*y(t) - 3*q(t). Find the first derivative of r(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 49 (b) 1\/2 (c) -5\/2 (d) -5 (e) -2 (f) 5 (g) 4\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 8, m: 1, c: 4, e: 1}. Give prob of picking 2 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -62. Let z be 1 - -11*(-3 + 2). Let n = k - z. Solve 8*t + n = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23641897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7233083 and 1963.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 52 - 57 = 9*d - 38, -3*w - 2*w - 79 = -3*d for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**4*t - 22*d**4 + d**2 - 248*d*t wrt d.\nAnswer: 216*d*t - 528*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 236249\/(-68)*(2 + -6). Which is bigger: 13898 or q?\nAnswer: 13898","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205650577 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 - 10*g**2 + g - 2. What is i(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2. Let r(d) = -10*d**2 + 9*d - 9. Let n(f) = 1 + 4*f**2 - 3*f**2 + f - 2*f**2 - 2. Let h(b) = -18*n(b) + 2*r(b). Calculate 4*h(l) - 5*s(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**5 - 156*w**4 + 333*w**3 + 486*w**2 = 0. Calculate w.\nAnswer: -54, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 + -91. Let s = m + -11. Find y such that -y**4 + 0 + 0*y + 0*y**s + 1\/3*y**3 + 2\/3*y**5 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 2695?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(0 + sqrt(1573) + 0)*5 - ((sqrt(1573)*-3 + 3)*-4 + 0))**2.\nAnswer: -2039184 - 19008*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 12*t + 48. Let r(m) = -m**3 + 5*m**2 - 4*m - 4. Let n be r(4). Let w be d(n). Solve w = v + 4 - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 387 = -7*r. Let u = 413 - r. Calculate the remainder when 335 is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 4*z**3 + 86 + 15*z**3 + 2*z**2 - 85. Give n(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*j - 9, 4*j - 1 + 5 = 0. Let q = 13.03 + -0.03. Let u = q + -8. What is the nearest to h in -3\/2, -1\/3, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 17095?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 5:13 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11a + 2?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -3, -3738.\nAnswer: -3738, -3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111690 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*i - 5*z + 6*z, -5*i + 29 = -4*z + 65 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (246*t**2 - 85*t**2 - 109*t**2)*(-2*t - 1 + 3 - 1 + 0) as f*t**2 + x + b*t**3 + r*t and give f.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 9*u - 9. Let r be a(7). Let s be -2 + (-5 - (-3 + 1)). Let i be s\/(-8) - (11 - 10). What is the closest to 0 in i, r, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2 - 5 - 41*o in the form k*o + j and give k.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -85af0e (base 16) in base 9?\nAnswer: -17432867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20868 and -5.\nAnswer: 104340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63\/137 + -1661\/3836. What is the common denominator of b and 31\/44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -306 - 0?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49626424641 + -0.172.\nAnswer: 49626424640.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, z: 10}. Give prob of picking 4 z.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 10 - 1 - (3 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n**3 - 7*n - 2. Let r be ((-6)\/21)\/(3\/(-63)). Let x(o) = 5*o**3 + 4*o + 1. What is r*p(f) + 11*x(f)?\nAnswer: f**3 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*o + 2)*(4*o - 4*o + 2*o) + 5*o**2 - 9*o**2 + 14*o**2 + 19078 - 19078 + o**2 + 96*o.\nAnswer: 15*o**2 + 96*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-4))\/((3\/12)\/((-15)\/(-80))). Let z(i) = -3*i**3 + 2*i**2 - 4*i. Let u(c) = -c**3 + c. What is a*u(y) - z(y)?\nAnswer: 6*y**3 - 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 221 (b) -2 (c) 3 (d) -29 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13390962440 to the nearest 1000000.\nAnswer: -13391000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 14066528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.253 + 0.253. Let i = -11 + 12.4. Which is the second biggest value? (a) i (b) 2\/23 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66581 - 241?\nAnswer: 66340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -4961\nAnswer: 1\/4961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -4826.9.\nAnswer: 386.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 91469, 365891, 823261, 1463579, 2286845?\n\"Answer: 91474*s**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 3*g**2 - 254*g - 336. Give h(18).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301 divided by -7.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129395\/6 + -380047\/18. Let d = -453 + s. Calculate the common denominator of d and -65\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58968 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/2 + 82456*k**2 + 494729*k\/2 + 164909.\nAnswer: (k + 1)*(k + 2)*(k + 164909)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**5 - 16*r**4 + 40*r**2 - 4*r - 24 = 0. Calculate r.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o = -2354 - 250. Which is smaller: -94 or o?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -9. Let w(s) be the second derivative of 1\/20*s**5 + 7\/12*s**4 + 0 + 2*s**2 + 0*s**3 + 9*s. Give w(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-210481)\/4) + (-20)\/80 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 10*q - 15. Let s be 36\/(-24)*2\/(-1) - 13. Calculate y(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from {u: 1, f: 3, p: 1, y: 1, a: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13*s + 3 - 3. Let i(q) be the third derivative of q**6\/720 + 35*q**4\/24 - 2*q**2 + 64. Let f(c) be the second derivative of i(c). Give p(f(n)).\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -8341.88.\nAnswer: 83418.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 6:58 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3271495546.\nAnswer: 2, 11, 853, 174331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12040113 divided by 4013371\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 105*g - 1275. Give x(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(-5 + -3 + -6*(0 + sqrt(200))) + 2)**2.\nAnswer: 98400*sqrt(2) + 726724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 - a?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 + 4*u + 16 - 4*u - 5*u.\nAnswer: -5*u + 198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 139.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330) + (sqrt(330) - 1*sqrt(330) - sqrt(330) - sqrt(330) - sqrt(330))*4)\/(-5*sqrt(18)\/sqrt(3)))\/((sqrt(121)*2*2)\/(sqrt(99) + 1*sqrt(99))).\nAnswer: 33*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74434296 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 - 373 = 53*t + 525 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23392630?\nAnswer: 2, 5, 2339263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/3803 and -97\/2?\nAnswer: 7606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y - 32*y = -30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 22 - (380 - 389)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (1 - 0)) + -77 + -145 + 225.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42690382 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 + 4*k - 4*k. Let s(u) = -2*u. What is s(p(l))?\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1730*u + 1728*u + 5*u**2 - 2 + 1732*u - 5190*u. Let f(r) = 7*r**2 - 23*r. What is f(x(k))?\nAnswer: 175*k**4 - 255*k**2 + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -203?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/24)\/((20 - 5)\/60).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.673 to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.21891 + -0.08109. Let d = 1.6 - 19.6. What is the fourth biggest value in -0.4, 2, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + sqrt(7)*2 - sqrt(77)\/sqrt(44))*-4.\nAnswer: -16 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 117.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 413, 415, 417?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/26, 0.5, 5, -4, -3, -28 in descending order.\nAnswer: 5, 0.5, -3\/26, -2, -3, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 12, r: 1}. What is prob of sequence rq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5597130, -5597123, -5597112, -5597097, -5597078, -5597055, -5597028?\n\"Answer: 2*q**2 + q - 5597133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.28278 centimeters to micrometers.\nAnswer: 242827.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**11\/j*j)\/j*j)\/j)\/j**4*(j\/(j\/j**(2\/11)*j*j*j)*j)**(1\/4))**(-12\/11) assuming j is positive.\nAnswer: j**(-732\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - (0 - -7))\/(-2*1). Suppose 0 = 6*h - h - 4*l - 31, -4*h + 30 = 2*l. Suppose -2*p - q = -3 + h, -p - 4 = q. Solve y*j - 3*j - 20 = p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2121217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.4 (b) -2\/9 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*p - 2*k + 6, 0 = 4*k + 4. Suppose 4 = -p*c + 16. Solve a - 2*v = 4*a - 2, -c*v + 4 = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*u - 950, -2*w + 2*u + 297 + 77 = 0. Let x be (-404)\/w + 3 + -1. Let t = x + -1\/16. Which is the nearest to -2\/7? (a) t (b) -6 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51409501200 to the nearest one million.\nAnswer: 51410000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-1)\/21)*(-164)\/(-492).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 0 = -33 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -300.595 + -284.144. Let q = b - -604.73816. Let m = 20 - q. Round m to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 9*b + 5. Suppose -h = 4*l - 7, l = 4*h + 3*l - 14. Let f be q(h). Let a = 138 + f. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5216.28 years in millennia?\nAnswer: 5.21628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4\/4 + n**3\/4 - 19*n**2\/4 + 11*n\/4 + 15\/2 = 0.\nAnswer: -5, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(33)\/(sqrt(9)\/sqrt(3)))**2 - (sqrt(11) - (sqrt(88) + (2*sqrt(88) - sqrt(88)) - sqrt(88))\/sqrt(8) - sqrt(11))) + 5)*4.\nAnswer: 4*sqrt(11) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -1070*m**3\/3 + 156*m**2 + 8*m + 2567. Find the second derivative of x(u) wrt u.\nAnswer: -2140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from pegeepegpppepgeez.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 188*m**2 - 34304*m + 984528.\nAnswer: 4*(m - 106)*(m - 27)*(m + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 382 and 107342.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101532029 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(-2)\/(-30)*(11\/2 - 3). Is p less than -2\/647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1100) + -4 + (1*sqrt(1100))**2.\nAnswer: 10*sqrt(11) + 1095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {g: 1, o: 7}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkevvkvk. What is prob of picking 1 v and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (1 - (4 - -52)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*p - 30 = 15, -4*w + 161 = -p. What is the greatest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q - 1 = 0. Let c(m) = 6*m**2 + m - 1. Let s be c(q). Solve -4*z + s = -6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4876\/3 + 4164107\/2562. Let k = -1585\/854 - u. What is the common denominator of k and -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 7*f - 2*f. Let t = f + -12. Let s be ((-1)\/2)\/(-3 + 2). What is the closest to s in t, 1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 10*y - 1. Let d = 53 + -32. Let n = -11 + d. Let s be q(n). Which is greater: 2\/13 or s?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -19\/12*u**4 + 12*u + 0*u**2 + 0 - 1\/2*u**3. Find the second derivative of m(d) wrt d.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + t + 40 = 0, -3*f + 95 = 2*f + 4*t. What is the remainder when f is divided by ((-42)\/35)\/(3\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11787*s*y**6 - 2*s*y**2 + 4*s*y - 2*s - 2*y**5 + 189*y**2 wrt y.\nAnswer: -1414440*s*y**3 - 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208 is divided by 401?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 - 18*o**2 - 28*o - 9. Is v(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 263702343?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 25 - 25)*(3*g**2 - g**2 - 3*g**2) to the form c*g**3 + z*g + q + s*g**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 - p**4 + 6*p**4 + (0 - 3 + 5)*(-2*p**4 - p**4 - 5*p**4))*(-5 + 3 + 0).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - 20110014?\nAnswer: -20104432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61895 * 3.\nAnswer: 185685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 2\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 9*h**2 + 9*h - 7. Let q be d(8). Let r = -0.16 + 0.66. Let m = r - 5.5. Which is the third smallest value? (a) q (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**4 + 17*j**3 - 17*j**2 + 5. Let c(d) = -d**4 + 69*d**2 - 69*d**3 - 2*d + 2*d - 21 - 8*d**4. Let f(g) = -5*c(g) - 21*r(g). Factor f(n).\nAnswer: 3*n**2*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**2)**(-6\/19))**(6\/17))**(-4\/17) assuming c is positive.\nAnswer: c**(-144\/5491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -24567300 to the nearest 100000.\nAnswer: -24600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k + 209337*k**2 - 209296*k**2 - 2*k - 418*k**3 wrt k?\nAnswer: -2508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 99. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 0)*(1 - 1 - k) + (-4 + 3 + 3)*(-3*k - 2*k + 4*k) + 3*k + 6*k - 5*k - 16*k + 26*k + 23*k to the form b*k + i and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2628 divide 28513433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3317, -3331, -3357, -3401, -3469, -3567?\nAnswer: -3701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3345 - -3345. Let j = -229 + 219.9. Let g = j - -9. What is the nearest to v in -0.18, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 0 = -7*l. Let n(m) = 16*m + 6. Let t be n(l). Differentiate 10 - 15*i**4 + t - 10 with respect to i.\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/684*63)\/(-1).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5115.7 - 5376. Round u to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 0*(-3)\/(-9). Let m(n) = -n**3 + 4*n**2 - 4*n + 4. Let h be m(d). Let v(k) = -k**2 - 2*k + 4. Let o be v(-3). Is h bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -178 + 61 - 22*z**3 + 60 + 57 + 13*z in the form d*z + b*z**2 + m + a*z**3 and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1118444019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1142 is divided by 304?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + -0.2. Let b = -15\/1351 - -2957\/22967. What is the third smallest value in b, -2\/5, z, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 20*l - 35. Let z be v(-18). Is z at least as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 26, 34, 40, 44?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(136)*-1 + -1*sqrt(136)*-6)\/(-1*sqrt(8)*2 + (sqrt(8) - sqrt(128)*-2)))**2.\nAnswer: 1088\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 38*x**2 + 29*x - 387. Let s be l(-39). Solve s*v - h = -3*h - 3, -4*v = -5*h + 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -14508899.\nAnswer: -14508901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (2 - -2) - 0. What are the prime factors of ((-4)\/(-12))\/(t\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4906870 rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 34. What is the smallest common multiple of d(-10) and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c8 - 31?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6335522 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 6*c**2 - 6*c. Let r be l(4). Let d be (-2)\/r + 3\/12. List the prime factors of (-1 - d)*-11 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6746066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -177*o + 2045. What is the tens digit of j(-75)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 28*j + 110. Suppose -16*a + 16 = -20*a. Let q be z(a). Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v + v - 4*v + (-24 + 9 + 6)*(0 - 6 - 2)*(2*v - 1 + 1) in the form r*v + d and give r.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 112651 (base 7) in base 14?\nAnswer: 7528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1194*a**3 + 3769*a**3 - 1225*a**3 - 1250*a**3.\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.362 - -1.638. What is the third smallest value in -4\/181, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -15*v + 12*v + 5*v. Let d(f) be the second derivative of -1\/2*f**2 + 0 + 76*f + 0*f**3 - 2\/3*f**4. What is d(m(y))?\nAnswer: -32*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = 10. Suppose -n*v + 2 = -4*c, -14 = 4*v + c + c. Which is smaller: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*a - 6*a - 30, 16 = -4*a. Suppose h*d - 2*d = 0. Suppose -n - 29 - 32 = -3*p, d = -p - n + 23. What is the remainder when p is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s + 47 = -53 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-33)\/q*q)\/(q*q**29) assuming q is positive.\nAnswer: q**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 512, 2094, 5824, 12776, 24024?\n\"Answer: 179*m**3 + 329*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 6 - (4 - (0 - -2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/3878?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*d**2 + 248986*d - 359684.\nAnswer: 2*(d + 13834)*(9*d - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 6\/11, 2\/9, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 7*r**2 + 65*r + 26. Give j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -3. Suppose -4*n = -y*a + 12, -3*n + 6 = 2*a - 5*n. Suppose a = -5*i - 63 + 223. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882055711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 1, l: 5, o: 4, n: 1, j: 2}. Give prob of picking 1 j and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2)*b)**13*b**(1\/3)\/(b**(2\/3)*b)*(b*b**(-1\/3))**(-12\/11)*b**(-2\/5)\/b**(-2) assuming b is positive.\nAnswer: b**(8504\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s**2 + 2*s. Calculate g(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47257088 + -0.0378.\nAnswer: 47257087.9622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3702\/13 + -68027\/234. Suppose -21 = 2*k - 11. What is the common denominator of 122\/8*2\/k and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v**2 + 5 + 24*v + 2*v**2 + 19 + 116*v**2. Let c(g) = 25*g**2 + 5*g + 5. Determine 24*c(x) - 5*j(x).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-2 + 3 - 2)*(-2269*t + 8414*t - 4054*t)*(2 - t - 2).\nAnswer: 4182*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*i = 138*i + 4*o + 8, -4*i + 6 = -3*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95473459.\nAnswer: 31, 43, 67, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j - 1. Let a(h) = -9*h + 3. Calculate -3*a(i) - 8*c(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 6 + 17)*(-2*w + 0*w - w)*(3 + 0 + 17)*(-1 + 1 - 2).\nAnswer: -1680*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1033 - -499. Let s = 536 + l. Solve f + 16 = -f - 2*b, 5*f + 5 = s*b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 8:35 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46438879 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187952031?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + r - 46 = 0, 106 = -12*y + 16*y - 5*r. Calculate the remainder when 59 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122659.\nAnswer: 23, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*u - 40 = -138*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p + 35 = 3*i, 0 = -i + 5. Suppose p*g - 13 = -3*v, -14 = -4*g - 2*v + 4. Calculate the smallest common multiple of 33 and g.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99246710*b**2 - 556*b - 105679 wrt b?\nAnswer: 198493420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1567 - -0.5567. Let j = -11\/59 - -53\/295. Let w = -628\/5605 - j. Which is the nearest to 2? (a) 2 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14790 is divided by 79.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k + 44917 = -3*k - 103505. Does 28 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0.4. Let k(h) = 15*h - 37. Let w be k(7). Let p = w - 338\/5. Which is the closest to 0.1? (a) v (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82090815 and 492.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3951764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4737109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 27*i + 1890 = -51*i for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1675434954?\nAnswer: 2, 3, 23, 113, 107441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ca37 (base 14) to base 10\nAnswer: 34937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 2. Suppose -25 = 5*c, -4*f - n*c + 40 = f. Calculate the remainder when 0 - (-78)\/(2*1) is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-702)\/(-12))\/13)\/(-12).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9936*g - 6317*g - 867*g - 2528*g - 7596*g.\nAnswer: -27244*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*s**2 + 18 - s**3 - 15*s**2 + 6*s**2 to a*s**2 + d*s**3 + p + z*s and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*(-693)\/66?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 + 2*w + 3. Let u(i) be the second derivative of -7*i**4\/12 + 2*i**3\/3 + 3*i**2 - 10*i. Let k(c) = 2*u(c) - 5*z(c). Factor k(o).\nAnswer: (o - 3)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -59, -50, -39, -26?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 6*o - 2*o + 16, 4*g = -2*o + 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12412203 (base 5) to base 7\nAnswer: 1021012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*a + 17, -a + 3*a = 4*t + 8. Let b(v) = 2*v**2 - 3. Let d be b(a). Suppose 0 = n + 2*n - d. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 570 + -557. Solve 3*b - 24 = 3*y, -b - z = 4*y + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 17*f**2 + 4*f + 11. Let j be v(17). Let p = -75 + j. Suppose -p*g + 44 = s - 53, g + 2 = 5*s. Solve g = 3*c + 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.861489 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -4*f + 2*s + 4, -s - 1 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 22 = 2, -32 = -4*m + 3*z. Let j be (33\/2)\/(-11)*(-76)\/3. Let s = 43 - j. Solve -2*d + p = -2, 6 = -d + s*p - m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -737 + 1124. What are the prime factors of w?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -193*m**3*t**2 + 93*m**3 + m*t**2 wrt t.\nAnswer: -386*m**3*t + 2*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9358281*t - 25893705 wrt t.\nAnswer: -9358281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d + 5*d - 10*d. Let x(j) = -2*j. Determine -5*f(i) - 9*x(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3331330103 (base 4) to base 5\nAnswer: -231241042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2. Let c(g) = -938*g**2. Give v(c(m)).\nAnswer: 4399220*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 38. Let k = -388 + 411. Let y = t - k. Which is the closest to 0? (a) 2 (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3 = 4*x. Suppose -8*i = 4*i. Suppose i = -2*n + x*n - 719. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -359269 or -359273?\nAnswer: -359269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28854 or -317382\/11?\nAnswer: -317382\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuuuiuju. What is prob of sequence uuj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -353, -699, -1045, -1391, -1737?\n\"Answer: -346*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*j - 784*j + 396*j + 62*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 8 - 1)*(0 - 2*i + 0)*(85*i + 6181 - 6181) - i**2 - 1 + 1 to the form q + b*i**2 + s*i and give b.\nAnswer: -851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19627, -6, -328 in increasing order.\nAnswer: -19627, -328, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 218*d - 653. Let f be z(-3). Let c(j) = -39*j + 399. What is c(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9\/(a*a**(1\/2)))\/(a*a**(-5)\/a*a**(4\/3))*(a**(4\/3)\/((a**(-2\/7)*a)\/a))\/(a**9\/(a\/(a\/a**1*a))) assuming a is positive.\nAnswer: a**(53\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0 (c) -140 (d) -0.08 (e) 9 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20712)\/117368)\/((-22)\/204).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -638 - 66 = -32*i. Suppose -i*k + k + 7560 = 0. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35533 - -1?\nAnswer: 35534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/14*210\/(-225). Which is the closest to 22? (a) 0.3 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -39, -24?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**4*o**3 - 646*j**3*o**3 + 9*j**2*o**3 - 5*j**2*o + 10*j*o wrt j.\nAnswer: 24*j*o**3 - 3876*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -27*i**2 + 22*i**2 - i**3 - i**2 - 5*i + 3. Give w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 99269.48 litres?\nAnswer: 99269480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p**3\/p)\/p)\/p)\/p*p)**39*p*p\/((p*p**(-8))\/p)*p*p*p\/(p*p**(-1)*p)*p assuming p is positive.\nAnswer: p**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74642 divided by -37321.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from cccffkkkkkckfccckk.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0. Let u = -79 - -79.4. Let h be (0 - 0)*1 - 4. Which is the nearest to d? (a) -0.5 (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -7*j**5\/60 - 5*j**3\/2 + j**2 - 537*j - 2. Let v(f) = -20*f**2 - 45. Determine -17*k(s) + 6*v(s).\nAnswer: -s**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49801 minus 17608633?\nAnswer: -17558832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 17 = 8*w - 4*w, 0 = 3*w - u - 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**3 - 9*w + 15. Let t(l) = -l**3 + 4*l - 7. Calculate 13*t(q) + 6*y(q).\nAnswer: 5*q**3 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 86.492 and -3.\nAnswer: 83.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a70 - 668?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 277 times -0.5\nAnswer: -138.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21.71, 2, -1\/2, -2 in decreasing order.\nAnswer: 2, -1\/2, -2, -21.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 9*g**4\/4 - 39. Calculate o(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 9*k**2 + 13*k + 7. Let o be y(7). Suppose o*f + 480 = 6*f. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + 1 + (-5*((sqrt(500) + -2*(sqrt(500) + -4))*6 + 0))**2.\nAnswer: -144000*sqrt(5) + 507603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 7*p**2 + 8*p + 2. Suppose t + 4*t = -40. Let v be a(t). Suppose v*x = -x. Solve x = -2*d - 0 + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131042 + -23313?\nAnswer: 102224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 102*h**2 + 201*h - 221. Calculate b(100).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7776?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 26*m - 11*m - 4*h + 16 = 32, m + 4*h + 13 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*u + 34*u + 27*u - 93*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 11*o**3 + 6*o**2 + 13*o + 2. Let x(z) = 6*z**3 + 3*z**2 + 7*z + 1. Let b be (-3)\/(-9)*3 + -8. Let l(r) = b*x(r) + 4*g(r). Determine l(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 11. Let b be r(4). Suppose -5 - 8 = f - 5*n, n + b = f. Solve 0 = 3*k - d + f + 7, -4*d = 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3 - 3*q - 2*q + 3*q - 2. Let j be w(-5). Let z be 88\/(-6)*(-3)\/(2 - 1). Calculate the highest common factor of z and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19352.92 years to centuries.\nAnswer: 193.5292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + -4*(sqrt(252) + -1) + ((sqrt(14)\/sqrt(2) + 4 + sqrt(1008) + -2)*3)**2.\nAnswer: 444*sqrt(7) + 10696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2092, 1867, 1646, 1423, 1192, 947, 682?\n\"Answer: -f**3 + 8*f**2 - 242*f + 2327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50337954 divided by 19.\nAnswer: 2649366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120386 is divided by 90?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -980 - -1959\/2. Which is the nearest to -10? (a) 17 (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -481289656 or -481289655?\nAnswer: -481289655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 15 = 4*t - 87, -5*t = -3*z + 78. Suppose -28*h = -z*h - 3535. What are the prime factors of h?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4*(-6)\/(-8))\/(3\/(-9)). Suppose 10*m - v*m = -4*y - 4, -y - m = 4. Solve 4*b + 4*b = y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11584 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*q**2\/5 - 57*q\/5 - 42\/5.\nAnswer: 3*(q - 7)*(3*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i - 30 = 0. What is the common denominator of 3\/(-15) - 1311\/i and -9\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2. Let j(t) be the first derivative of 73*t**5\/120 + t**4\/24 - 20*t**3\/3 + 30. Let d(y) be the third derivative of j(y). Calculate d(g(p)).\nAnswer: -73*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 925195*f**2 + 3165*f - 4 - 925196*f**2 - 3 to p*f**2 + t*f + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*s**2 + 45*s - 23*s**2 + 187*s**6 - 34*s**2 + 91*s**2 wrt s?\nAnswer: 22440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 10*a + 12. Let v be c(9). Let w = -4 + v. Let g be 4\/(-16) + w\/(-4). Solve g*o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1461, 1443, 1413, 1371, 1317?\nAnswer: 1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -228.8 + 229. What is the second smallest value in -33, v, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = -5*j - 298. Let k = 117 + j. Suppose -k*d - 1 + 41 = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/60 - r**4\/24 - 4*r**2. Let b be l(2). Solve -b = i + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 12*d + 5*d - 16*d. Let z(s) = -s - 2*s + 2*s. Determine q(z(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 678564707?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 7*g**2 - 9. What is x(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*20\/(-15) + -3 + 1 + 9. Suppose -q + 2 = 1. What is the third smallest value in q, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Let c be 1 + 15\/(-10) + 26\/4. Suppose -5*o = -8 - 2. Solve j = -i - o*i - c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 + 0 + 0)*(1 - 1 - 9) - r + 2*r**2 + r + 0*r**2 - r**2 + 2*r**2 in the form t*r + u + z*r**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)\/sqrt(10) + (sqrt(45)\/sqrt(9) - sqrt(5))*-4)*3.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2839176)\/(-7238) + (1 - (-10)\/(-14)). Is k at most 394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003302837 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -4\/7, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 60*t**2 - 2354*t - 4452.\nAnswer: 2*(t - 53)*(t + 2)*(t + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 30, 51, 88, 147, 234?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.07090726 plus -547.1?\nAnswer: -548.17090726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**3 + 3*j**3 - 4*j**3)*(-27 - 31 - 4)*(-2 - 1 + 4) + j**2 + 2*j**3 - j**2 to o*j**3 + t*j**2 + n*j + q and give o.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18322940 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1321*q**2 - 37650571*q + 37650571*q.\nAnswer: -1321*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12633*c**5 - c**2 - 70542*c wrt c?\nAnswer: 757980*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 10:57 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37.95 + -23.95. Which is greater: -6.9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 8*y**2 + 7*y + 2. Let a = 7 - 14. Let f be q(a). Suppose 5*c - f*c - 6 = 0. Put -3, 0.3, c in decreasing order.\nAnswer: c, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1219 + 4.1219. Which is the third smallest value? (a) w (b) -0.05 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.04 (b) -73\/2 (c) 1.92 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3063744 divided by -510624?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112.39 + -3.69. Let j = q + -102. Let y = j - 7. What is the second smallest value in y, -4, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = -3*n - 60. Let i = -23 - n. What is the tens digit of 3\/(i\/(-16))*-15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383719\/294 + 4\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176259 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -o + 5. Let r be (-1)\/o - (-3)\/12. Let n be (1\/(-3))\/(4\/(-4)). Which is the closest to r? (a) 2 (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/87 or 0?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 357145 and 20?\nAnswer: 1428580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 552 and 7984?\nAnswer: 550896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3654)\/(-2349) - (-1460)\/45?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o**2 + 5*o - 13. Let x(g) = 5*g**2 - 2*g + 6. Let z(w) = 6*r(w) + 13*x(w). Let b be z(3). Solve 4*f - b = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4042107 millennia?\nAnswer: 40.42107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/25)\/(120\/(-100))*(-21)\/(-854)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*k - 20625, -61*k - a - 12379 = -64*k. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 2 - -4) + -3 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 41\/4*q**4 + 0*q - 1 + 0*q**2 - 15*q**3. What is the third derivative of h(f) wrt f?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -1\/60*g**6 + 1\/2*g**3 + 3*g**2 + 0*g + 0*g**4 + 1\/20*g**5 + 0. Let x(q) = q**3 + q**2 + 1. Calculate -o(c) + 3*x(c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 141, 190, 227, 252?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - b + 32. Let j be y(-6). Let m = -13 + 8. Let i = m - -9. Solve 0 = h - 2*w + 3, j = -i*w + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815798 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 8465.08978 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 12*f**2 - 28*f - 14. Let t be o(-14). List the prime factors of (t\/6)\/((-2)\/30).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + (-3 - (21 - -4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 17787*h - 4. Let b(w) = 78796393*w - 17719. Give 17719*a(f) - 4*b(f).\nAnswer: -17719*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*j - 646 + 2230. Let x = -97 + j. Let a be 2\/(-14)*x - 69\/(-21). Solve -l = a*l + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6164, -6140, -6098, -6032, -5936, -5804, -5630?\n\"Answer: y**3 + 3*y**2 + 8*y - 6176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/7 + 63\/(2646\/3648)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, x: 1, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49? (a) -0.4 (b) -57 (c) -35 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (5 - 4) + 1. Solve 13*v + g*v**2 - 5*v + 4*v**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -7573?\nAnswer: -7570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**4\/42 - a**3\/21 - 2*a**2\/7 + 14*a. Factor o(u).\nAnswer: 2*(u - 2)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021454922 a multiple of 757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85572*t - 70725*t + 1173*t + 34184*t.\nAnswer: -120940*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -75 - 10402a?\nAnswer: -1040a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 747.31597 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -664 divided by -4.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8702*a - 8704*a - 4*a**3 - 20 + 19 + 3*a**2. Let v(d) = -3*d**3 + 2*d**2 - 2*d. Calculate 2*r(w) - 3*v(w).\nAnswer: w**3 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -803 to the nearest 10.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from itn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 - -94. Solve -g*d = -2, -l = -4*l - d + 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1119918*a**5 + 2*a**2 + 5454 wrt a?\nAnswer: -67195080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-84)\/(-18) - ((-14)\/6 + 3). Let w be -1*(-6 + 3) + y + -8. Is 10 a factor of ((-7)\/(-14))\/(w\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8405 is divided by 3153?\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42665917 + 16734083. Suppose -5*d - z = -8*d. Suppose 10*v - 8*v + d = 0. What is v rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/126 and 59\/14658.\nAnswer: 43974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v = -33*v - 5*r - 100, 4*r - 55 = 5*v. Put -8, 5, v, 0 in increasing order.\nAnswer: v, -8, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 6. Suppose 3 = p*i - 1. Let b(t) = t**3 + 2*t**2 - 2*t + 1. Let f be b(-2). Solve -3*h = i*h - f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 - -92748?\nAnswer: 92768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -28*q - 1\/12*q**4 + 0 - 13\/6*q**3 - 19*q**2. What is the units digit of f(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1) + (-16 - -20) - (-13 + 4 + 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/76)\/(3*(-4)\/(-48))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.91 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 1. Let i be y(-5). Suppose i*q = 8*q + 40. Let r = 43 + q. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + p - 3*n + 11, -5*p + 3*n = -1. Suppose r - d - 15 = -6*d, 0 = p*d - 6. Suppose 8*t - 288 = -r*t. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.575702646 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001805 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 - ((-17550)\/24)\/13. Let f = -51 + l. Let g(x) = x**3 - x**2 - 8*x + 10. List the prime factors of g(f).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.2. Let z = 0.26 - 0.56. Let i = z - -4.3. Is g less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 4*i + 12 - 15, 0 = -u - 8*i + 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 218 + 42 = 4*g, -3*g = -4*o - 220. Is 24 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -153 + 157. Is c greater than or equal to 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.126346 - 14459.8.\nAnswer: -14459.673654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2. Let f(c) be the first derivative of -8*c**2 - 19. Determine f(u(s)).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 378b + 1?\nAnswer: 378c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 35*j - 22626 = -17*j. Solve -43 - j = -66*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -191 + 195. Factor -12*t**a + 4*t**5 + 16*t - 7*t**3 - 13*t**3 + 6*t**2 + 7*t**2 - t**2.\nAnswer: 4*t*(t - 4)*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f - 3*f**2 + 4*f + (-4 + 2 + 3)*(-5*f**2 + 4*f**2 + 2*f**2) - 2*f**2 - f**2 + 207*f - 158*f.\nAnswer: -5*f**2 + 49*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.4, 4\/3, 8, -2\/417?\nAnswer: -2\/417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3991945?\nAnswer: 5, 47, 16987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192635146 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (20844\/48)\/((-35)\/(-14)*1\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5\/11 + 516*j**4 + 1047210*j**3\/11 + 56662112*j**2\/11 + 647093160*j\/11 + 2098807200\/11 = 0 for j.\nAnswer: -2644, -90, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*b - 3\/7 - 1\/7*b**2.\nAnswer: -(b - 3)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 4*z - 10*z + 0*z + 3*z - 5*z + (3*z - 3*z + 2*z)*(-1 - 2 + 1) + 2*z - z - 2*z.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -3*j - 7*f - 13, -85*j - 9*f + 10*f = 3*f + 259 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53825809 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 4*p**2 + 2*p**2)*(0 + 1 + 0) + (-5*p**2 + 14*p**2 + 4*p**2)*(26 + 19 - 9).\nAnswer: 464*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(84) + sqrt(84) + sqrt(84))\/(sqrt(28)*-2).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 112030301111 (base 4) in base 11?\nAnswer: 3315294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.026020747 and -0.7.\nAnswer: -0.726020747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 129056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10487000 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1767, -1642, -1275, -546, 665, 2478?\nAnswer: 5013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 + b**3 + 2*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 15*t = -153. Let j = t + -49. Is 21\/19 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153173847?\nAnswer: 3, 51057949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 2. Let i be 65\/3 - 1\/(-3). Let g(j) = 89*j**2 + 11 - 177*j**2 + 94*j**2. Let o(d) = i*f(d) - 4*g(d). Let x(k) = -2*k. Give x(o(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -301 + 2*t**2 + 614 - 309 to y*t**2 + v + p*t and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.52 take away 37652.0109?\nAnswer: -37639.4909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -89 (b) -8.7 (c) -6133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + 12*v - 13. Let s be m(-5). Suppose -s*y = 0, -4*l + 6*y - 4*y = -1400. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 6 + (32 + (-25 - -25) - -26)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2685 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-9)\/(-3) - 1. Suppose -4*u - 3*f + t*f + 71 = 0, 6 = -2*f. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 3*b**2 - 3*b - 3. Give p(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - o**3 + 2*o**2 - 2*o**2 - o**3 + (-2*o**3 - 95 + 95)*(5 + 2 - 4) to m*o**3 + l*o + u*o**2 + x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -427*o - 16. Let c be t(-3). Suppose -4*f - 3143 = -5*l, 2*l - 49*f = -50*f + c. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 10*s**2 - 23*s + 8. Let m be z(7). Let b be (-4)\/m*(9 + -6). Suppose -7\/4*t**3 + 0*t - 1\/2*t**5 + 1\/2*t**b + 7\/4*t**4 + 0 = 0. Calculate t.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 not equal to 384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3252*f + 12 = 5*p - 3254*f, 9 = 3*p - 3*f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0.5, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -24*(-1)\/((-3)\/10). Suppose 5*m + 6 + 227 = 2*k, -229 = 5*m - k. Let q = m - i. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 110183, 110133, 110083, 110033, 109983, 109933?\n\"Answer: -50*d + 110233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2164 (base 7) to base 5.\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 302\/65, -1\/4 in descending order.\nAnswer: 302\/65, 2, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7 = 1. Let g(k) = k**3 + 6*k**2 - 3*k - 2. Let c be g(-6). Solve -3*w + 7 = -b, -l*b + c = 4*w - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7364, -29461, -66292, -117857, -184156, -265189, -360956?\n\"Answer: -7367*s**2 + 4*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/3 - 32*v\/3 - 11 = 0. What is v?\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnmnnmnhmmununnn. Give prob of sequence umnm.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 12 = 5*w. Suppose 0 = w*y + v + 12 + 11, -2*y - 13 = 3*v. Let a(b) = b + 17. What is the units digit of a(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**2 + 5*g + 5. Let p(f) = -5*f**2 + f + 11. Let w(d) = -5*d**2 + 2*d + 10. Let c(x) = -4*p(x) + 5*w(x). Give -5*c(r) + 6*o(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 326?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from ucuuuzczwuszcuzzwzz?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 + 38 - 10) + -79?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from memee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -336, -677, -1018, -1359, -1700, -2041?\n\"Answer: -341*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2257\/852 - -5\/284. Let a = 3 + 1. Is g > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 99, 772, 2585, 6108, 11911?\n\"Answer: 95*c**3 + 8*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**6 - p**4 + p**4 - 20728*p**3 - 20*p + 20244*p**3 - 14*p**2 wrt p?\nAnswer: 240*p**3 - 2904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let t(p) = p**2 + 2*p + 3. Let i be t(-4). Let h = -3 + i. Let j(r) = -8*r - 2*r**2 + h*r. Determine j(k(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0*s + 4*s + 5, 4*x - 2*s = 16. Let f = 0.06 - 10.06. Let p = 10.3 + f. Which is the nearest to -1\/3? (a) p (b) x (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2771 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-8)*((-4 - 5) + 5). Suppose -m + 5 = k. Suppose 0 = 3*t + 3*a + a, m*t = 5*a. Solve -8 = 3*p - 5*b, p + 5*b + 5 - 29 = t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140 + -146. Let a = h + 7. Let y be (-16)\/104 + a + (-30)\/(-26). Is 9\/7 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 2783.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 91\/24 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 w when three letters picked without replacement from {w: 4, f: 1, e: 3, u: 2, n: 1, m: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 14. Let o = r - -19. Let x be ((-33)\/22)\/((-237)\/4). Put -1\/3, o, x in increasing order.\nAnswer: -1\/3, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -6\/469, -3, -5, -0.5, 2\/5, 445?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -529891?\nAnswer: -5298a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 1326 = 9*r. Let k be (1\/3)\/(13\/r). Solve 0 = 3*t - k - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 7. Let d(q) = q - 5. Let z(m) = -7*d(m) + 5*j(m). Let n(k) = 4*k. Let y(l) = 13*l. Let w(u) = 4*n(u) - y(u). Give z(w(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1, 2, -23917, 11 in decreasing order.\nAnswer: 23, 11, 2, 1, -23917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(27) + -4)*-1*-2.\nAnswer: -48 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (582\/30)\/((-208)\/1040).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 2:53 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638937?\nAnswer: 3, 13, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/3, 13435261, 2\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k = 22*k + 54 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 238119 = 3*y, -5*y + 396844 = -220*v + 222*v. What are the prime factors of y?\nAnswer: 2, 7, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 18. Determine w(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1224*s - 4 + 6.\nAnswer: 1224*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ltiittllttpxpptpt?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30 + (4 + -13)\/(-3). Let w = n - 10. What is the remainder when 67 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128 + 13*s - 24 - 16*s)*(2 - 2*s**2 - 2).\nAnswer: 6*s**3 + 304*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 2, l: 4}. Give prob of picking 2 l.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -9 (b) 4 (c) -26551 (d) -3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00069715384 rounded to 7 decimal places?\nAnswer: -0.0006972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b - 20. Is (-97818)\/(-90) - b\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -585 plus 8948.584292?\nAnswer: 8363.584292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12848, 25694, 38540, 51386, 64232, 77078?\nAnswer: 89924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) - 5033\/49. Let k = 1029\/10 + i. Let f = -3\/2 - -4\/3. Sort f, k, 1\/5 in descending order.\nAnswer: 1\/5, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/208 - 1977\/208. Let d = 53\/800 - -5609\/21600. Let p = 3539\/2160 - d. Calculate the common denominator of z and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 - 2*w**3 - 6*w**3 - 2*w**4)*((1602 - 812 - 891)*(1 + 2 - 5) + 2 - 1 - 4).\nAnswer: -398*w**4 - 597*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5223643+-23061004\nAnswer: -17837361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 + 4*x**3 + 2*x**3 - 104*x**2 - x**3.\nAnswer: 2*x**3 - 104*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from kninygngignygy?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 + -963 - -814 - (-15 + (1 - 0))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/28750 and 11\/1150.\nAnswer: 28750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627381 a multiple of 1286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llljn. What is prob of sequence ll?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q + 3*c + 12 = 0, -5*q + 16 = -4*c. Let n(a) be the second derivative of 1\/12*a**3 + 0 + q*a**4 - 3*a - 1\/40*a**5 + 0*a**2. Factor n(m).\nAnswer: -m*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - -0.3. Let w = -9413.8 + 9413.5. Which is the nearest to -2? (a) m (b) w (c) 2\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 74\/14 - (-4)\/(-14). Let c(g) = -g**2 + 15*g - 16. Let w be c(11). What is the third derivative of -w - 2*i**2 - 3*i**t + 28 wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let x be t(5). Suppose 0 = -3*b - c + 44, 0*b + 2*b = -x*c + 25. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v = -26*v + 47*v + 686 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose 6 + 27 = q*i - f, i = 3*f + 11. Calculate the greatest common factor of i and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -1\/5, 0, -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 6:35 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*j**3 + 40*j + 5\/2*j**2 - 120.\nAnswer: -5*(j - 4)**2*(j + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -31*y + 292988 + 765608. What is y rounded to the nearest one hundred?\nAnswer: 37800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w**3 + 3*w**2 + 3. Let j(l) = -18*l**3 + 7*l**2 + 7. Determine -3*j(i) + 7*r(i).\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346247925 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 124*t - 61*t - 148113. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 456*l**5 - 218*l - 187*l + 405*l + 5*l**2 wrt l.\nAnswer: 27360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**8*n**11\/n*n)\/(((n*n**(1\/4))\/n)\/n)**(12\/11))**(-28) assuming n is positive.\nAnswer: n**(-6104\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 7*s - 2*s - 2*s - 3*s**4 - 2*s in the form z*s**4 + b*s**2 + k*s + l + w*s**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 - (453 - 449)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 + 2*t**2\/3 + 11*t - 30.\nAnswer: -(t - 5)*(t - 3)*(t + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*y - 2*b - 15, b - 10 = -4*y. Let o(x) = -y*x + 8*x + 0*x. Let g be o(1). Solve h + 2*h = g*j - 32, -4 = -h - 2*j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130788?\nAnswer: 2, 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 223\/7 + -32. Let f be (-5 + (-444)\/(-90))\/((-3)\/9). Which is the nearest to t? (a) -4 (b) -1\/6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 - 25*j**2 + 15*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 2)*(5*q**2 - 7*q**2 - 17716*q**3 + 17583*q**3) to s + k*q**3 + v*q**2 + g*q and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 840\/36*(-54)\/(-36)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -43663 less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 376.134004 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 8) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 476*l + 3859. Calculate s(-8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2358291.9 to the nearest 1000.\nAnswer: 2358000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147602?\nAnswer: 2, 7, 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/((p*p**12)\/p)))\/p)\/(p\/(p\/(p*p\/p**(6\/7)*p*p))))\/(p**(2\/7))**(2\/25) assuming p is positive.\nAnswer: p**(1371\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 divided by -8?\nAnswer: -427\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = 56*z - 94650. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131409793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6121574 + -3571574. Suppose -r = -4*j - j. Round j to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*b**2 - 51*b**2 + 2 + 14*b + 112*b**2 as p*b + c + i*b**2 and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 784 (base 13) to base 12\nAnswer: 8b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -5*r + 16*u - 15*u, 5*r = -4*u + 88. Solve -5*y - r = 5*o, -3*o + 4*o = -5*y - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 85 in 3\/2, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2958 = -15*x + 9363. Solve -f = x - 430 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111101001010001010110101 (base 2) to base 12\nAnswer: 5452045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 3984.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**2 + 4099*s. Let n(j) = -227*j - 2. Calculate k(n(g)).\nAnswer: -257645*g**2 - 935013*g - 8218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104\/81 - 439\/405. Let j = -4 - -1. Let y = 0.004 - 1.004. Which is the biggest value? (a) j (b) 4 (c) s (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1293190 and 11390?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, m: 5, e: 2}. Give prob of picking 1 e and 1 m.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -925.35 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1120*b**4*g + b**4 - 2*b**2*g - b*g - 86*b + 1 wrt b.\nAnswer: -13440*b**2*g + 12*b**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-18)*2 - 1)*(-15 + (-405)\/(-18)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1610406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1012221?\nAnswer: -1012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1407, 0.04, -0.4, -36 in decreasing order.\nAnswer: 0.1, 0.04, -0.4, -36, -1407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 8*d + 14. Let j be y(-9). Suppose 230 = j*x - 5*v, -x - 70 = -2*x - 5*v. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.26, -2 in descending order.\nAnswer: 0.26, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-2)*(-60)\/(-8). Let t(v) = 11*v**2 - v**3 + f*v - 4*v - 3*v**2. Let n be t(9). Calculate the highest common divisor of n and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-6\/5)\/(q**(-43)*q) assuming q is positive.\nAnswer: q**(204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 500522 to the power of 1\/2, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/261 in -0.05, 0.3, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*b + h - 5 = 0, -12 = 2*b - 3*h. Let i be (-3)\/(b\/45*1). Suppose 3*q - v = v + 63, 3*q - i = -4*v. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - v. Let s be -2 - (-3)\/6*4. Let x be a(s). Suppose x = p - 4*p + 12. Solve m = p*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/15 (b) -0.12 (c) -92.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) 4646\/5 (c) -5 (d) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.69 (b) -0.2 (c) 3.1 (d) 3\/2 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-22724)\/(-5) + 2 - 1232\/1540?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(31\/558)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*a + 488 = 0, 785 = 5*m - 4*a + 5*a. Let u = m + -153. Solve 0 = u*b - b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**2 - 7*y - 7. Let s(u) = -2*u**2 + 2*u + 2. Let x(p) = 7*s(p) + 2*z(p). Let o(q) = -10*q. Calculate o(x(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-250 - -251) + (0 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028576 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/9)\/((-68)\/(-60) - 1)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.55 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -46. Suppose -6*o = -0*o - s. Suppose u + 22 = 3*u + 4*l, 0 = -3*u + 5*l - 22. Calculate the highest common factor of o and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, d: 1, o: 1, q: 3, p: 3, u: 3}. Give prob of sequence pcp.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -637 = t + 4*i, 4*t + 6*i - i + 2559 = 0. Let v = t + 2224. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/16 and -27\/128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 7011\nAnswer: -4\/7011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-5)\/((-30)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2567609.9 and -149.\nAnswer: 2567460.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(2*-2) - 88\/(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f + 13*f**2 - 8*f - 12*f**2. Let l(m) be the first derivative of 5*m**3\/3 - 1. What is l(a(w))?\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, 3.\nAnswer: -2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 866*k**3 + 112872*k**2 + 3906400*k - 8271232.\nAnswer: (k - 2)*(k + 76)**2*(k + 716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(10\/5)\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000366385733 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 310\/7. Put h, 0.3, 8, 1 in decreasing order.\nAnswer: 8, 1, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9090011 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -410402 (b) -3\/5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**24\/r**(1\/34))**34 assuming r is positive.\nAnswer: r**815","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -38. Solve 0 = q*d + 2 + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-319)\/(-154) + (-4)\/2*1. What is the closest to -1 in -2, -0.4, 1, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 less than or equal to -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**10*k)**(1\/10)*(k*k**(-6)*k)**31)**(-20\/9) assuming k is positive.\nAnswer: k**(2456\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b = -359*b - 865 + 2540 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3676 divided by -4\nAnswer: -919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 123, 93, 45, -27?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 7*n - 6. Let c be i(-6). Let d be (c\/(8 + -4))\/2. Solve -d*w = 4 + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44633?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 208, 421, 634, 847, 1060, 1273?\n\"Answer: 213*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 15 = -4*r, -f + 0*f - 4*r = 3. What is the units digit of 9\/f - (-16 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 20*b + 263983. Let q(w) = -w**2 - 7*w - 87994. Let a(g) = -6*i(g) - 17*q(g). Let p be a(0). What is p rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42982, 42983, 42984?\nAnswer: 42985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 2 - (33 + -1) - (-130 - (-79 - 58))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1286 divided by -643.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -368805?\nAnswer: -8\/368805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g + 3*i - 411, 0 = 4*g + 3*i - 544. Let b be (2 - 2 - g\/21)*6. Let w = b + 57. Calculate the remainder when 52 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 24707c?\nAnswer: 247071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/10*(-10)\/6. Suppose -2 = -3*o + 10. Solve 6*x**3 - 6*x + 7*x**i + 0*x**2 - o*x**2 - 3*x**4 = 0 for x.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -3*x**6\/2 + 291*x**5\/5 - 69*x**4\/4 - 297*x**3 + 435*x**2 - 192*x + 10736. Solve c(p) = 0 for p.\nAnswer: -2, 1\/3, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15912)\/(-3315)*(-660)\/48.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/72 + (-75)\/(-300).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - 2) + (98 - 87)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 = 3*k, -1 + 8 = -3*h - k. Let n be (-10)\/(-20) + (-10)\/h. Suppose -2*i - 5*z + 828 = 0, i + n*z = -z + 411. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 591. Let f(g) = -2*g + 1182. Determine 10*d(r) - 4*f(r).\nAnswer: -2*r + 1182","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1272*f - 1274*f + 2 = 2*t, 2*f - 5*t - 44 = 0. Let b(d) = -262*d + 1835. Determine b(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000074 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z - 6. Let q(l) = 4*l**2 + l + 1. Let h be 3\/(-2)*(-2970)\/45. Let t(o) = -95 + 7*o + h + 17*o**2 - 3*o. Give z*t(y) + 9*q(y).\nAnswer: 2*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151250 by -125.\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 0*u**2 - 8318 - 5*u**2 + 14*u**3 + 8313 - 5*u. Let r(p) = -77*p**3 + 28*p**2 + 28*p + 28. Calculate 28*c(h) + 5*r(h).\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*t - 4*a, -2*t + 13 = 2*a - 5. Solve -r + t = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 21*n = 36. Calculate the highest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7412*n - 229832. Give h(31).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2099 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.114037 rounded to 3 decimal places?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 6*h**2 + 4*h - 11. Determine v(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 286505 bigger than 286512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/32, -3, -5.\nAnswer: -5, -3, -1\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88404.3t to micrograms.\nAnswer: 88404300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(3*(sqrt(147) - (-4 + -2*sqrt(147) + sqrt(147))))**2*6.\nAnswer: -652320 - 120960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 3 + 0)*(-5 + 2*c + 5) + (5 - 1 - 3)*(2*c - 3*c - c) - 3*c + 0*c + 0*c)*(2*c + 0*c - 4*c - 2*c**2).\nAnswer: 22*c**3 + 22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-5))\/(19\/380). Let d(p) be the third derivative of -p**6\/120 - 2*p**5\/15 - p**4\/24 - p**3 - p**2. Let v be d(z). Is 1 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c. Let f(k) = 436*k - 44. Let a(x) = -288*x + 28. Let l(t) = 8*a(t) + 5*f(t). Determine m(l(z)).\nAnswer: 248*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 10:38 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12261 + 25793. List the prime factors of x.\nAnswer: 2, 53, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 524707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 93*y + 740 = -17 - 203 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*f - 6*f - 18, -14 = -3*d + 5*f. Suppose d*h - 6*h = 9. Suppose -5*i - 5 = 5. Is h at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/260000 and -3\/4550?\nAnswer: 1820000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -68. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-1 - 7) + (-8 - (-3 - 14)) + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (20 - 0) - (-2 + 1 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2646960?\nAnswer: 2, 3, 5, 41, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 255?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2\/127, -1\/198610 in ascending order.\nAnswer: -2\/127, -1\/198610, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g. Let k(t) = 498221*t**2. Determine f(k(i)).\nAnswer: -1494663*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 10*g**2 + 10*g + 9. Let i be w(-9). Let o be 0 + (5201 - (1 - i)). Round o to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94)\/(-235)*(-2)\/(-8)*2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 2*j + 2. Let m be u(0). Solve -3 = -q - m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 + 78. Let x(d) = d**3 + 5*d**2 + 8*d - 1. Let i be x(-6). What is the tens digit of 8*(i\/(-10) + w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542143165?\nAnswer: 5, 10369, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 295 + 315 + 201*b - 1135 - 1240 - 204*b as d*b + l and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -312\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(-18)*v*v**(-1\/4)*v**(-1\/2)\/((v**(2\/29)\/v)\/v) assuming v is positive.\nAnswer: v**(-1603\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-3)\/(y*y**(-3\/7)))**31)**(-27\/7))**(2\/159) assuming y is positive.\nAnswer: y**(13950\/2597)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4763*t + 503 = 4839*t + 2555 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((42\/24)\/((-1)\/4))\/1. Suppose -14*c + 10 = -19*c. Let h = c - z. Put -1, -2, h, -3 in descending order.\nAnswer: h, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d + 20. Suppose 0 = -2*u - 3*r + 15, 4*r + 5 - d = -u. Is 13 a factor of 67\/u + 6\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/6)\/((-7)\/(-1491)). Suppose d = 4*d - c - t, 3*c = -6. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -9*g**4\/4 + 158*g**3\/3 + 896*g + 2088. Differentiate h(l) wrt l.\nAnswer: -27*l**2 + 316*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1)**(-31)\/((g*((g\/(g**(-2\/3)\/g*g)*g)\/g*g)\/g)\/g)**45)**(-45\/4) assuming g is positive.\nAnswer: g**(6165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 141.248 times -22.2\nAnswer: -3135.7056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1180, 1172, 1164, 1156, 1148, 1140?\n\"Answer: -8*k + 1188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67 and 6?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*n**3 + 3*n**5 + 654*n - 15*n**3 + 50*n**2 - 15*n**3 - 19*n**3 wrt n.\nAnswer: 60*n**3 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 2*d**3 + 0*d**3)*(-3 + 3 - d + (2 + 0 + 0)*(-d - d - 4*d)).\nAnswer: -13*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 35. Let m be c(0). Let j be (-5)\/m - (-29)\/7. Find the third derivative of 0*u**6 + j*u**2 - 4*u**2 + u**2 - 6*u**6 wrt u.\nAnswer: -720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6224?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3470*l - 246352. What is f(-71)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1892 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5. Suppose 3*a = -2*a - 4*k + 25, -a - 3*k + 5 = p. Sort 1, a, 3 in increasing order.\nAnswer: 1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let f be o(-2). Let s = 6 - f. Suppose -u - i = -4*i + 4, s*u - 3*i + 7 = 0. Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/(-78))\/((-66)\/(-3069)) and 15\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 87689 = -19*b + 37111. Is b a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*n + 143*n - 13 = r, -4*r - 9 = n + 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185117.581446 + -183552.58143849. Let u = s + -1565. What is u rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 5, 1\/5, 3\/8, -0.4, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 10. Suppose 3*t - 4*t + 525 = m, 5*m - 2660 = d*t. What is m rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -19. Let a(v) = 704*v**b - 17 + 17 + v - 3*v. Let u be a(-2). Round u to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00327086 to five decimal places.\nAnswer: 0.00327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**2. Let i(f) = -6*f - 8. Let l(d) = 17*d + 23. Let w(n) = 8*i(n) + 3*l(n). What is r(w(q))?\nAnswer: -63*q**2 - 210*q - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 7*m**2)*(-2 + 3 - 2)*((0*m - 2*m + 4*m)*(0*m**2 - 6*m**2 + 4*m**2) + 4*m - 4*m + m**3).\nAnswer: -21*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -554360, -4 in increasing order.\nAnswer: -554360, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24805745 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 20387307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -136 (c) -0.5 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1242 by 6.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*77996.\nAnswer: -7799.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 - 38 - 3*q**3 - 41 + 9*q = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-160))\/(3\/2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = y - 35, -h + y - 5 = -3*y. What is the highest common divisor of 1320 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3459057982 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*o**6 + o**3*w**2 + 339*o**2*w**2 + 2*o**2*w wrt o.\nAnswer: 6720*o**3 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - 3. Let t = f - -31. Let r be 10\/14 - (-12)\/168*4. Solve 4*y + r = t, 3*y - 5 = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -50*x + 72 + 22*x - 6*x + 16*x + 16*x. Calculate s(37).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-871287)\/36054 - 4\/6. Let f = u + -1\/2003. What is the common denominator of 55\/14 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 9*l + 4. Let y be d(-9). Let v be (0*(-2)\/y)\/(-2). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -586 + 4463. Is 88 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-3)\/12*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6*(2 - (-5)\/3) and 708?\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 23490063.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k)**(-40)\/(k\/k**(-6\/7))**(-1\/5) assuming k is positive.\nAnswer: k**(5613\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqzbqfqq. What is prob of picking 2 f, 1 z, and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6 + 828*o + 9 + 7 - 825*o + 2. Let u(b) = 8*b + 35. Give 17*h(j) - 6*u(j).\nAnswer: 3*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - i**2 + 3*i + 3. Determine r(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -3caa?\nAnswer: 3ca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -458, -469, -470, -455, -418, -353, -254?\n\"Answer: r**3 - r**2 - 15*r - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by -34?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2652\/(-208)*200\/(-30)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**7\/k)*k*k)\/(k*k\/k**(1\/11)))\/((k\/(k\/(k**13\/k)*k))\/k*k*(k\/(k*k**12))\/k*k))**(9\/2) assuming k is positive.\nAnswer: k**(-387\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 4*r**2 - 6*r + 3. Let p(g) = -9*g + 7*g - g**2 + 8*g + 5 + 2*g. Let j be p(8). What is y(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n - 109. Calculate l(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (697\/2378)\/(306\/72).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q + 34*q - 154*q + 40*q + 43*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4989.01 + 4989. Which is the fourth smallest value? (a) -1 (b) 0.2 (c) 3\/4 (d) t (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -101 + 94 + (2 - -13) + 1 + -19?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*d - 1)*(0 + 0 + d) + 5888*d + 5898*d - 11786*d - 29442*d**2 to the form z + s*d + r*d**2 and give r.\nAnswer: -29440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 127069068 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357 and 3808?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -49, -46, -9, 74, 215?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b (base 15) to base 16.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-30)\/(-35)))\/(273\/(-351))*(-10)\/(-3780)?\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2 + 0)*(14 + 0 + 13)*(2*r - r + 0*r) + 5*r - r - 5*r.\nAnswer: -244*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 10. Let p(m) be the first derivative of 3*m**2\/2 - 27. Determine s(p(f)).\nAnswer: -18*f**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*(-3)\/30)\/(19\/190). What is the units digit of (-1821)\/(-12) - (y + (-10)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -10 - (-228 - -218)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 + 56.73. Let u = k - -0.07. Sort u, -5, 1\/5 in decreasing order.\nAnswer: 1\/5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1102*b + 593*b + 507*b. Let y(x) = -33*x**2 - 4*x. What is t(y(j))?\nAnswer: 66*j**2 + 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 124450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acajwwaaawjjccwc. Give prob of sequence aw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 8*s - 311 = -a, 2*s + 3*a = 305. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 6. Let o(n) = 0*n + g*n - 2*n - 5*n. Let t be o(-3). Solve -6*a + 6 = -t*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 0.2, 2\/9, -1469284, -0.25?\nAnswer: -1469284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/946 in -138, 0, -1, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5182.883ml?\nAnswer: 5.182883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -180*p - 8469 + 9189 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 268\/536*(-8)\/(-47)\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2 + 2*sqrt(4032)*3 - -5*(sqrt(4032) - 4*sqrt(4032)*-1)) + 4)**2.\nAnswer: 13392*sqrt(7) + 3874833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 9\/67, -2 in descending order.\nAnswer: 1\/6, 9\/67, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21528*0.1.\nAnswer: -2152.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 171 or 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -149 or -123143\/820?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 637626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Let l be ((-15)\/(-20))\/(1\/4). Let q(u) = -l + 3 + 243*u - 227*u. Give q(t(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 41\/(-10))\/1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283220 divided by 245.\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilk when three letters picked without replacement from wxiixikkwilqi?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**3 + 2684*f**2 - 2684*f**2.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + 127*v + 537. Calculate g(-24).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 62288.38g?\nAnswer: 62288380000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 + 5. Let h(u) = 5*u**2 - u + 11. What is 5*f(y) - 2*h(y)?\nAnswer: 5*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 3}. Give prob of picking 1 c and 2 b.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104.22 + 105. Round l to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -29. Let n = -9.2 + u. Let j = -704\/13 - -54. Sort 0.4, j, n in decreasing order.\nAnswer: 0.4, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -15476*v - 803. Let o(g) = 77*g + 4. Determine -4*k(d) - 803*o(d).\nAnswer: 73*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*v - 540 = -71*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28, -65, -114, -181, -272, -393, -550, -749?\n\"Answer: -t**3 - 30*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7043\/119 - -144\/17. Let y = m - -51. Which is the biggest value? (a) -5 (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-36)*(-4)\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*(30 + 1 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 35*t - 36. Let v be j(-36). Solve r - 4*r = v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1024217*q**4 + 358*q - 176.\nAnswer: -12290604*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -15*q + 16. Let c(j) = -3*j + 3. Let u(n) = -11*c(n) + 2*x(n). Let t be u(1). Suppose 4*m + 2*f = 6, -2*f - t = m - 5*m. Is -0.1 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*p + 101312000 = 59*p. Round p to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1022301211 + 12?\nAnswer: -1022301133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576944 a multiple of 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -128 - 232?\nAnswer: -35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10046944 is divided by 3348974?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*f + 2 = -0*f, -5*q = -3*f - 2. Is 12 + (q - 2)*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3414902 kilometers in meters?\nAnswer: 341.4902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**10\/(h\/(h*h\/(h\/(h*h**(3\/5))*h)))*h\/(h**(-3\/4)\/h*h)*h**(2\/29) assuming h is positive.\nAnswer: h**(7203\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m. Let g(n) = -3*n + 18 + 15 - 33. Give -5*g(l) + 2*j(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 79925881 and 15.\nAnswer: 79925896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-25) assuming m is positive.\nAnswer: m**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625920?\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 57*n**2 - 355*n + 184. Give a(5).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + g**2 - g - 90. Determine c(0).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thcljljlllaja. What is prob of sequence hj?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-18 - (-3 + (-1 - (1 + -4)))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**4\/4 - 5*q**3\/3 - 5*q**2\/2 - 8*q + 20. Suppose 19 = 5*m - 11. Determine d(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-18)*16\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -571195, -571196, -571197?\n\"Answer: -b - 571194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(475)*2 + sqrt(475))**2 + 1 + (sqrt(475) - (sqrt(475) - -6*1*sqrt(475))).\nAnswer: 4277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 7*b + 10 - 20*b - 12*b - 21 - 39.\nAnswer: -25*b - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p - 7. Suppose -28 = -2*z - 2*z. Let o = z - 4. Suppose -o*n - 4*j = -7*n + 12, -3*n + j = -5. Let r(x) = -x + 1. Calculate n*i(c) + 6*r(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + 5 + (7 - 38 - -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 q when three letters picked without replacement from {z: 3, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 5 + b - b. Let j be t(-6). What is the units digit of j\/((1 + -3)\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.40645 in -3, 23, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.31, -0.4, 41?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1)\/m**10 assuming m is positive.\nAnswer: m**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 206 - 138. Suppose -31 - 14 = j. Let l = t + j. Calculate the highest common divisor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78427*w**2 - 389*w + 42971203?\nAnswer: -156854*w - 389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 20 = 5*s, -5*x + 2*s = 6*s + 16. Let g(c) = 6*c**3 - c + 0*c + 1 + c**2 + x*c. Give g(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -6*i + 350. Suppose 5*k + 10 = -2*f, 5*k + 0*f = f - i. Let m(v) = -v**2 - 7*v - 6. What is m(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-210))\/((-7)\/(-14))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + sqrt(125) + -1 + -4) + -3)**2.\nAnswer: -100*sqrt(5) + 3129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-2)*(7 + -4)*(-8)\/24. What is r in -5\/3*r**3 + 8\/3*r - 7\/3*r**h + 4\/3 = 0?\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*g + 2983 + 192, 3*t - 9534 = -3*g. Suppose 3*b = 4*b - w - 634, 4*w - t = -5*b. Is b 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 uuufmujuu. What is prob of sequence mu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 900, 3, -4, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 7*t - 7. Let f be o(8). Suppose -f = -5*h + 14. Solve h*b = 3 - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (61893\/(-78))\/(-1*(-18)\/(-8)). Let o = a + -354. What is the third biggest value in o, 0, -0.08, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = c + 21. Let s be (c\/50)\/((-1)\/5). What is the greatest common factor of s and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmmntmmmf. Give prob of picking 1 d and 1 m.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9853 is divided by 3197.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/4)\/(v\/(v**6*v))*(v**(-1\/2))**33 assuming v is positive.\nAnswer: v**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3518*l - 921. List the prime factors of d(-10).\nAnswer: 34259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037 = 194*u + 2589 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2752273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/31 (b) 1 (c) -10.4 (d) 5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 380497?\nAnswer: 380495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*694\/(-98) - -7)*84\/(-6)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 30 = 4*g, -g + 7421*h + 30 = 7417*h for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.465717985 rounded to four decimal places?\nAnswer: -0.4657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781289741.\nAnswer: 59, 13242199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -5, 41, 48.\nAnswer: -5, -2, 1, 41, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -a395 (base 11) to base 3\nAnswer: -200220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.209329 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 6. Suppose n = 3*d + 2*d - 35, -a*n = 0. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, u: 2, n: 1, o: 6, a: 3}. What is prob of picking 2 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5295052 is divided by 1764943?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(121) - ((sqrt(121) - -3*sqrt(121))*5 + sqrt(121))))\/(sqrt(891)*3*-5))**2.\nAnswer: 704\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 343 - 357 = 0 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*((-16)\/4 - 2). Let l = 9 - y. Factor 2\/5*q**2 + 2\/5*q**l + 0*q + 0.\nAnswer: 2*q**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*d + 53*d + 64*d - 175*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - h + 1)*(0*h + 0*h - 2*h) - 3*h**2 + 4*h**2 - 2*h**2 + (334*h - 1115*h - 140*h)*(h + 2 - 2).\nAnswer: -920*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*z + 54*z = 96 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 110?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56515 (base 16) to base 13.\nAnswer: c4c09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13133 + 1001153?\nAnswer: 1014330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 967?\nAnswer: 966.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/43140 and -55\/51768.\nAnswer: 258840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*a**3 - 5)*(45 - 30 + 49).\nAnswer: -128*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3))**(15\/7)\/((u\/(u\/(u**(-5)\/u)))\/(u\/((u*u**3)\/u))))\/((u\/(u**(1\/4)\/u))**(13\/4)\/(u\/u**(2\/3))**(-1)) assuming u is positive.\nAnswer: u**(-199\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40648\/9 + -4524. Suppose 0 = 5*x - 13 + 58. Do x and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 0. Suppose 5 = 5*n - g. Suppose -n*b - b = -1408. Round b to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 22)*120\/(-90). Suppose -n = 51*w - 53*w. Calculate the remainder when 18 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -136 + 388641?\nAnswer: 388505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2011, 7973, 17917, 31849, 49775?\nAnswer: 71701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -8. Let q be (88\/(-33))\/(4\/(-192)). Suppose 0 = -6*l + 38*l - q. Which is the smallest value? (a) 0 (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 7*b**2 + 3*b - 7. Let n(t) = t**3 - 15*t**2 - 15*t + 3. Let h be (2 - -18) + 8\/(-2). What is the remainder when n(h) is divided by s(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 - (10 + -3 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-2)\/sqrt(10)*-5 + 1 - (sqrt(99)*2*4)\/(-2*sqrt(729) - sqrt(729)).\nAnswer: 1 + 278*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 3*k + 12, -5*i = -k + 4 + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnmhmlwwlwmwhwmhhhm. What is prob of picking 2 h, 1 l, and 1 w?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/52322696 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisisssiissiiiss. What is prob of sequence sssi?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*j - 20. Let u be ((-4)\/30*6)\/(6\/30). Let p = j + u. What is the nearest to p in 4, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 82, 119?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (50\/4 + -4)\/((-2)\/(-36)). Let p = g - 130. What is the remainder when p is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 11286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19195\/6 - -3202. Suppose 5*y + 6 = 2*y. Let p be (12\/(-9))\/(y\/3). Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101\/4 + -25. Which is the closest to 0? (a) 4\/3 (b) f (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19654909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 230*c + 17. List the prime factors of h(2).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*(-9)\/15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 348288.8 centimeters in meters?\nAnswer: 3482.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*j - 40, -133*j + 98 = 5*v - 137*j. Calculate the smallest common multiple of v and 63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1955.86+-11961696\nAnswer: -11959740.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 3312?\nAnswer: -3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9087*b**3 - 329*b**2 + 9103*b**3 + 1251*b**2 - 52*b**6 wrt b?\nAnswer: -6240*b**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhvhvhhhf. What is prob of sequence fv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6145273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -21969 (c) -0.009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**4\/12 + o**3 + 4*o**2 + 2*o. What is l(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20793 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/6 - 5*h**3\/6 + 2*h**2 + 3*h. Suppose -9*d = -104*d + 475. Let c(o) = 2*o**2 + 6*o - 4. Give d*c(l) + 6*t(l).\nAnswer: -2*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t\/t**7*t)\/t*t)\/t*t\/(t\/(t**(-6\/5)\/t))*t**(1\/4)*t**(3\/8))**6)**(3\/10) assuming t is positive.\nAnswer: t**(-2367\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 171 and -2.292?\nAnswer: -391.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1611\/2 - 838. Let q = 33 + i. What is the second smallest value in -0.4, q, 0, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*i + 12, -3*f = -0*i + 5*i - 43. Let z be 3\/(9\/(-15)) - 9\/(-3). Let u be 867\/6 + z\/4. What is the greatest common factor of u and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.14 + 0.23. Let u = j + -0.59. Which is the smallest value? (a) u (b) -0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23)\/(-5) + 30\/(-50). Suppose -4*j - 5*k - 3 = 0, -8*j + 3*j - t*k - 6 = 0. Let z(b) be the first derivative of b**3\/3 + b + 1. Give z(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeggcgececgggegg. Give prob of picking 1 g, 1 c, and 1 e.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/54*1698\/(-1415). Is u bigger than -25\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -207 (b) -4\/7 (c) -1\/3 (d) -0.039 (e) 5 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 172592 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 10332 = 15*x. Let f = 581 + x. Solve -6 = -10*c + f*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.061, -4, -1\/7, 0.2, -91\/53?\nAnswer: -91\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 50*c**2 + 286*c + 9430. What is l(-52)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 66768*o**2 + 66798*o**2 - 32*o + 66769*o**2 - 200333*o**2.\nAnswer: 2*o**2 - 33*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1300 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69*-188739.\nAnswer: -13022991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 687018 divided by 229006.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-784)\/(-180) - (-4)\/(-30)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92 and 2.7?\nAnswer: -248.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {e: 3, y: 4, o: 7, r: 1, u: 1, a: 4}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22913803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 800044948 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l + 2*l + 0*l - 8*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(55)\/sqrt(5)*-1 + 5*sqrt(11) + 5 + sqrt(11) + -2)**2*-1.\nAnswer: -1593 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = p - 92, -4*q - 33*p = -24*p - 90 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -43228700 rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 6*a + 5. Let b be v(6). Suppose 5*l - b*x - 75 = 0, 0*x + x = 4*l - 54. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 60 = -a. Factor -l + 0 - 3\/2*l**2 - 1\/2*l**a.\nAnswer: -l*(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, n: 3, u: 8}. What is prob of picking 1 u and 1 q?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/5511 and -88\/2505?\nAnswer: 27555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40121182?\nAnswer: 2, 20060591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 3*m - 3, -14*d = -9*d - 3*m + 29 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**2 - 12*k + 13. Let j be w(1). Solve 6*p - 10 = j*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -454 + 451. Let t = -0.2 - 0.3. Sort t, 2, n, 5 in ascending order.\nAnswer: n, t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(161\/4))\/(1\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 6:07 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*r - 54*r = 5*k + 3, 4*r + 4*k + 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (76\/(-10))\/((-1)\/5). Suppose y - z + 6 = 2*p, -4*p + 14 = y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 + 41. Let s = 46 - 12. Let w = s + d. What is the third biggest value in 7, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 642 + -639. Let z(n) = 5 - 11 + 0*n + k + 4 - n. Let x(w) = -4*w**2 + 2*w - 2. Calculate -x(u) - 2*z(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -9*c - 2. Is (1 + (0 - -10))\/(c\/(-283)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -15. Let t be (-3)\/i*140\/2. Let m = -21 + t. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.445 + 0.055. Let i(t) = -t**3 - t**2 + t + 1. Let o be i(0). Which is the closest to o? (a) x (b) -0.4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1024))\/(-2*sqrt(8)*-4) + (sqrt(32)*3 - (4 + sqrt(4)\/sqrt(2))**2)*-4.\nAnswer: -15*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4550367 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 25*y**2 - 4*y - 191. Suppose 10*c - 3*l = 12*c - 39, 0 = -5*c + 4*l + 132. What are the prime factors of h(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 869*a**3 + 4129*a**2 wrt a.\nAnswer: 5214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48828626?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/7)*f*f**8)\/(f**(-1)*f*f)**(-24))**(-14) assuming f is positive.\nAnswer: f**(-464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*t - 6 = 0. Suppose t*n - 1 = -b + 2, n + 1 = -b. Solve y - n = -7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2834, -4105, -5374, -6641?\nAnswer: -7906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 39 = -y. Let o be 64\/24 - 4\/6. Suppose -b = 3*z - y, -b + 0 = -o*z + 2. Solve -2*c - 24 = -5*d, 0 = -c - c - 2*d + b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -9, -17, -5 in decreasing order.\nAnswer: -5, -9, -17, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 23 = 6*l - 4*l - 13, 3*f + 15 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**3\/4 - 743109*v**2 + 5944863*v\/4 - 1486215\/2 = 0?\nAnswer: 1, 990810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -57 times -8\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8053 bigger than -130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 34. Let p(x) = 3*x + 103. Give -7*n(v) - 2*p(v).\nAnswer: v + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000701 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -499 - -499. Let p be 2\/(-6)*-3*-7. Let m = p + 10. Sort z, m, -3 in decreasing order.\nAnswer: m, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 39*h**2 + 283*h + 1937. Give r(23).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 - 2*a**2 - a**2 + (7*a + 0*a - 4*a)*(-a + 3*a - 5*a) + (-5*a + 3*a + 3*a)*(-3*a - 3*a + 7*a) as f*a**2 + t*a + q and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*u - 4*f, -4*u = -2*u + 2*f - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182682 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-27)\/w*w**20*(w*w*w**(-14)*w)\/(w**(1\/5)*w) assuming w is positive.\nAnswer: w**(-101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 14*z - 3. Let v be o(7). What is the lowest common multiple of 30 and (-308)\/42*v*(-6)\/(-4)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 47005 in decreasing order.\nAnswer: 47005, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 3*d + 10155 - 10177, -5*a + 28 = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5252698 and -5.\nAnswer: 5252693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 81, -2\/123, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 7*l**3\/6 - l**2 + 13*l. Let o(z) = 2*z**2. Determine k(o(r)).\nAnswer: 14*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26456 + -25433. What is the highest common divisor of u and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 103 = 2*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - j - 13 = -67, 3*j + 76 = 5*p. Suppose 16*w - 11*w - 675 = 0. Suppose w = 10*c - 65. Calculate the lowest common multiple of p and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211999799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 23*f**2 + 11*f - 14. Let l be d(23). Suppose 4*v - 2*a + l - 909 = 0, -185 = -v + 4*a. What are the prime factors of v?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3*(3\/(-36)*3)\/((-2)\/(-56))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -526 - -888. Is 362 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 49*k**2 - 36.\nAnswer: -49*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**5*k**2 + 10*b**4*k**2 - 116*b*k**2 wrt b?\nAnswer: 120*b**3*k**2 + 120*b**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.5295.\nAnswer: -0.15885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**8\/1680 + b**6\/360 - 2*b**3 + b**2. Let m(y) be the first derivative of n(y). Suppose m(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 326089324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 - 68. What is the units digit of 0\/(-18) + q\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - 33?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -t, i - 138*t = -140*t + 89. Calculate the least common multiple of i and 637.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 7*u**2 + 14*u - 26. Let v(z) = z**3 - 4*z**2 - 8*z + 13. What is -3*h(i) - 5*v(i)?\nAnswer: i**3 - i**2 - 2*i + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 17 = -3*i, -2*q + 1 = -3*q + i. Solve -y = 3*o - 5*o + 2, -3*o + 5 = -q*y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 21.82226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by -14*(-30)\/140 + 48 + 2 + -3.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -72012029 and -0.1?\nAnswer: 72012028.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 1. Let k(y) = 12*y + 9. Let g(t) = -6*c(t) + k(t). Let z be g(-5). Let j = z - -48. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 808500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14396\/(-52) + -2 - -1. Let x = 278 + c. What is the biggest value in 4, x, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0, 1\/9, -7\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.12 - -9.32. Let k = l - 9. Let z = -0.1 + k. What is the nearest to z in -1\/6, -2, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00147110328 rounded to 6 decimal places?\nAnswer: -0.001471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2218 + 66649\/30. Find the common denominator of l and 109\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 0 + 1\/2*h**3 + 1\/20*h**5 + 4*h - 1\/6*h**4 + 0*h**2. What is the remainder when 21 is divided by j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from zyzryyzy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 4*h - 3. Let o be x(3). Suppose 5*q - c + 30 = o, 30 = -5*q - 2*c - 2*c. Let g = 2898 + -2900. Put q, g, -1 in ascending order.\nAnswer: q, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38583907?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, 2, 3, 152978.\nAnswer: 0, 2, 3, 11, 152978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 13. Suppose 3*a + 6 = s, -4*x + 21 - 5 = 4*a. What is the highest common divisor of x and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9410 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: Convert -45 (base 6) to base 10.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = 5*i - 54. Let f(l) be the second derivative of 0*l**2 + 1\/3*l**4 + 0*l**i + 0 + 2*l. Let z(a) = -2*a**2. What is z(f(t))?\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 246066*q**3 - 246068*q**3 + 5279 - 774 + (q - 3*q + 4*q)*(3*q - q**2 - 3*q) + 0*q**2 + 0*q**2 + q**3.\nAnswer: -3*q**3 + 4505","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 75*u + 11. Let q(l) = -3*l**2. Calculate q(i(w)).\nAnswer: -16875*w**2 - 4950*w - 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26133 = 4675*v - 3832*v for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*n - 185, 2*n + 126 = 4*n - 4*f. Find the first derivative of -22*o - 14 - 138*o**2 - n - 76 + 22*o wrt o.\nAnswer: -276*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -41394*l. Let y(r) = 34*r**2 + 4. Determine v(y(j)).\nAnswer: -1407396*j**2 - 165576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26359, 208382, 702451, 1664590, 3250823, 5617174, 8919667, 13314326?\n\"Answer: 26004*j**3 - j**2 - 2*j + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 6*c**2 + 5*c + 2. Suppose 13 = -3*u + 1. What are the prime factors of p(u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 4)*(f**2 - f**2 + 2*f**3) - 2 - 1 + 617*f**3 + 4.\nAnswer: 611*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 20*f + 1. Let o be t(-2). Let y = 100 + o. Calculate the remainder when y is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.25, -0.388, 1\/8, 0 in decreasing order.\nAnswer: 1\/8, 0, -0.25, -0.388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-7)\/(-56)*-4)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-5))\/(1\/30). Let d be ((-1)\/(-5))\/(426\/a). Let h = -131\/781 - d. What is the third smallest value in -1, 5\/4, h?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) -5 (c) -0.5 (d) 0.4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12caa + -6?\nAnswer: -12cb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 4 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from kbbquryyq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22*40\/(-1980))\/(1\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = d + 3*d + 3*o, 0 = -2*d + 2*o - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9*q**3 - 1. Let i be v(1). Let l(g) = -5*g + 3. Let p(w) = -137*w - 10 + 278*w - 125*w + 0. Give i*l(u) - 3*p(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -24 (b) 0.22 (c) -2\/11 (d) 3\/2 (e) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**4 - 18*q**3 - 230*q**2.\nAnswer: 72*q - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8807498 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 477655, 477648, 477641, 477634, 477627, 477620?\n\"Answer: -7*r + 477662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 49 = -2*v, -5*v + 5*n + 22 + 138 = 0. Let h = 31 - v. Calculate the lowest common multiple of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 137 = -142. Solve 5*o - f = 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n**2. Let h(t) = -10948*t + 357. Let u(d) = -31*d + 1. Let f(x) = 2*h(x) - 714*u(x). Determine i(f(r)).\nAnswer: 623084*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -2, -9, -4 in decreasing order.\nAnswer: 1, -2, -4, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 - 21854390*g + 87417561\/4.\nAnswer: -(g - 1)*(g + 87417561)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/7 + 8*k**2 - 480*k\/7 + 1152\/7 = 0. Calculate k.\nAnswer: 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 435 by 2.\nAnswer: 435\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4788 and -23?\nAnswer: -110124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -2 (b) -2\/17 (c) 0.31 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125973 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 35 - 4 + 31 - 197*f.\nAnswer: -197*f + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-22 - -41) + 7\/((-7)\/6). Solve -5*w - s = -2*c, -2*c + 4*w - 5*w = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 d, and 2 y when four letters picked without replacement from {h: 2, q: 3, y: 6, d: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2301000 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40849973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 450 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48073457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:59 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 133 - 134 = -323 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 20\/17 (b) -0.5 (c) -0.048 (d) 1\/4 (e) -80\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 20 + 2)*(-1177 - 1390 + 166)*(2 - 2 + 2*q) to the form k + c*q and give c.\nAnswer: -144060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6520*m + 80. Let b(x) = -2173*x + 25. Determine -5*a(u) + 16*b(u).\nAnswer: -2168*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*r - 129*r + 2 - 9*r**2 + 74*r - 8*r + 0.\nAnswer: -9*r**2 - 203*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412*r + 36 = 430*r. Solve 0 = 2*w + 5*a - r*a + 10, w - 6 = 4*a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6779471 is divided by 168.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 + 3 - 3 - 4*r**2.\nAnswer: 3*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z**2 + 21665*z + 127400 = 0. Calculate z.\nAnswer: -35\/6, 728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/13))\/(s*s**(1\/14))*((s*s**(-4)*s)\/s)\/s*(s\/s**(2\/5))\/s assuming s is positive.\nAnswer: s**(-4139\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 + -116.153. Let n = 0.1 + t. Let p = n - -0.553. Put 3, p, -5 in decreasing order.\nAnswer: 3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2869\/10 - -285. Let i = -1652 - -14848\/9. What is the common denominator of i and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (2 - (0 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 286572929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -2078508?\nAnswer: 4157016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90916 = -59*n + 124965. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 11:04 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 27*h - 71. What are the prime factors of b(13)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 - 14*t + 24. Let u be d(-17). Let m = u + -572. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32115, -129989, -293091, -521427, -815003, -1173825, -1597899?\nAnswer: -2087231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3991137 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58299 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 7585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 568, 578, 578, 562, 524?\n\"Answer: -u**3 + u**2 + 14*u + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 1 - (-5 - (-73 + 12) - -2).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000255874478 rounded to 6 dps?\nAnswer: 0.000256","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 271 (b) -9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 = 4*f, f - 15 = -f - 3*d. Suppose 0 = f*m + 4*v - 5, -2*m - 4 = v + 1. Let q be 0 - (-6 - -2)\/2. Sort q, m, 0 in increasing order.\nAnswer: m, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 8*w. Suppose -l = 4*l + 10. Sort l, -4, w in descending order.\nAnswer: w, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.8243871 kilometers?\nAnswer: 824387.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 401207?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 558495 divided by -5\nAnswer: -111699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 3*k. Suppose 0 = 3*p + m + 2 - 4, k = 3*p + 3*m - 12. Which is greater: -3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -3186.\nAnswer: -3186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1240 is divided by 138.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*k**3 + 76 - 76 + 109*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 16*a**3\/3 + 237. Let o(f) = 4*f**2. Give o(k(v)).\nAnswer: 1024*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 101930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Let y(z) = 14*z**2 - 7*z + 7*z. What is y(a(s))?\nAnswer: 56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z**2 + z**2 + z**2)*(385*z + 381*z - 543*z) as o*z**3 + m + c*z**2 + y*z and give o.\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1244 - 1229. Which is greater: 4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 142 or 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248288 is divided by 108.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5021.9 + 5024. Which is the smallest value? (a) 5 (b) k (c) 18 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24520 (base 12) to base 15.\nAnswer: e853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 c, and 2 k when four letters picked without replacement from {r: 5, c: 4, k: 1, b: 1, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1828 and ((-146)\/(-24))\/((-194)\/1164).\nAnswer: 1828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -2*x + 2, -3*x - 45 = 3*k - 48 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 1\/12, 6\/11, -5\/7, 0, 0.08?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = 3*l - 106, 3*l - 5*h = 110. Let m = l + -5. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 47. Is k at most as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from jqqqqqffj?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 573 + -428. Calculate the greatest common factor of u and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -109.209091 to one dp.\nAnswer: -109.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3400*v**2 + 23795*v + 35.\nAnswer: -5*(v - 7)*(680*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + -9. Let h = f - -38. Solve -4*d = d + h, p - 2*d - 5 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/(-11)*4\/8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1178 + -460. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (336\/18)\/(1\/3). Suppose -12 - m = -2*k. Suppose 298 = 3*b + k. What is the greatest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 = 0, -m = 4*s - 0*s + 4. Solve s = -7*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29\/(319\/(-4)) + 20211\/11?\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k - 2 = -27*k. Calculate the remainder when 4 + 61*k\/(-2) is divided by 0 + (-1*2 - -24).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**3\/3 + 9*m**2\/2 - 9. What is the second derivative of p(o) wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 28 + 12 = 0. Suppose -k = -d*y - 194, -2*k + 436 = -3*y + 68. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 2:38 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282024b (base 12) to base 7.\nAnswer: 125015366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2*((-44)\/32)\/(-11))\/(-1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80245550.\nAnswer: 2, 5, 7, 11, 19, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4988*y**2 + 10014*y**2 - 5001*y**2.\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20 - ((-275)\/77 + (-6)\/14). Let k be (280\/m - 12) + 86\/12. Which is smaller: 8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*b + 10. Suppose -i - 6 = -0*i. Put b, -3, i in ascending order.\nAnswer: i, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 19 - 18 + 14*t**3)*(-4 + 4 + t).\nAnswer: 13*t**4 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -40*a + 30. Let o(n) = -n + 1. Let q(y) = -30*o(y) + w(y). Let i(p) = 0 - 2 + 2 - 2*p. Determine q(i(m)).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-3) - (-1)\/(-1). Let d(c) = -c + 2*c + 7 - p + 5*c**2. Is d(-2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/16 and 49\/(-2)*(-4 + 5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61.9 - 61.6. What is the closest to 4 in 3, d, -3\/5, 4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 24, -203, -4, 12 in increasing order.\nAnswer: -203, -8, -4, 12, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 482312312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, t: 2, j: 6, p: 3, n: 5}. What is prob of sequence hjnt?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85.08 - 85.0800005699. What is z rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) -3\/7 (c) 1\/53 (d) -121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08 smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w + 91. Let d be m(6). Let f be (3 - 0)*(-89)\/3. Let k = f + d. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43245 + 23a?\nAnswer: 43482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/821 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 247, 245, 241, 235, 227, 217, 205?\n\"Answer: -c**2 + c + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/3*13\/65. Put -1, -3, 1\/7, r in descending order.\nAnswer: r, 1\/7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27\/10? (a) 1 (b) 0.055 (c) -82.2 (d) 5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 + -106.3. Let r = 2.3 + h. Suppose 3*z + 2 = 5. Sort z, r, -3.\nAnswer: -3, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**20\/f)\/(f*f**(1\/27)\/f))**(-10) assuming f is positive.\nAnswer: f**(-5120\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8*a - 3*a = -13, -i + 2*a = -4. Suppose 7 - i = -u. Let y be (-1)\/((-13)\/4 - -3). Sort -6, y, u in increasing order.\nAnswer: -6, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2997751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*x**4\/11 - 6632*x**3\/11 + 130180*x**2\/11 - 805800*x\/11 + 15750\/11 = 0. What is x?\nAnswer: 1\/51, 15, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*z + 17, -3*p = 4*z - 0*z - 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*g**3 - 194*g**3 + 995*g**3.\nAnswer: 995*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.2. Let x = -0.2 - z. Let y = 11\/3 - 41\/12. What is the smallest value in y, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -131*q**3*s**3 - 2*q**2 + 21*s**3 wrt q?\nAnswer: -786*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-9 - 16) + -7 + -81 + 14\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-323)\/34)\/((-1)\/2). What is the greatest common divisor of 4959 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2808, 1.\nAnswer: -2808, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 9, 49, -3, 31 in decreasing order.\nAnswer: 58, 49, 31, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32330131333 (base 4) in base 10?\nAnswer: 3917695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 7 + 3)*(0*v + 2*v - v**2 + 7*v**2) + 16 - 16 - 56*v**2)*(5*v + 0*v - 3*v).\nAnswer: -136*v**3 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 3. Let f be (3 - 1) + (0 - 0). Let g be z(f). Suppose -r + 2*r + g = 0. Let j(n) = 8*n + 1. Determine j(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 258\/60*20\/24 and -61\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 332374 and 18?\nAnswer: 2991366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20613 and 359318945.\nAnswer: 6871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-4)*33\/((-33)\/4). Let q(l) = -14*l - 127. Calculate q(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllglllglllgll. Give prob of picking 3 l and 1 g.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -215319156 divided by 156?\nAnswer: -1380251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4*n**3 - 3643*c**4*n**2 - 6*c**2*n**3 + 150*c*n**2 wrt c.\nAnswer: 48*c*n**3 - 87432*c*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004461897 rounded to five dps?\nAnswer: 0.00446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*n**4 - 466*n**3 + 466*n**3 + (3*n**3 - 4*n**2 + 4*n**2)*(1911 - 126*n - 1911) to w*n**2 + k + c*n**3 + r*n**4 + q*n and give r.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10965*o**3 - 10634*o**3 - 2 + 21602*o**3 + 2.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38340.\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1679*z + z**2 + 1679*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 419028*0.3\nAnswer: 125708.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -261\/7 - -37. What is the biggest value in -0.1, k, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40988 + -40984. Solve 0 = -7*i + 10*i - k + w, 5*i + 35 = -4*k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 78 from 3774195.\nAnswer: 3774117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -4*t + 28. Calculate the least common multiple of 20 and (1*(t + 2))\/(-3 + 1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1582150 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a factor of 423980564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.101 times 0.3?\nAnswer: 12.0303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, j: 1, v: 2, d: 1, o: 4}. What is prob of picking 2 v and 1 j?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z + 10. Let q(u) = u + 10*u - 3*u - 7*u + 1. Give -8*q(a) + r(a).\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8050 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1802, -3684, -5642, -7712, -9930, -12332, -14954?\nAnswer: -17832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 560*a + 4475. Give q(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7*o\/(o**(-6)\/o)*o)\/(o*o**3)**41 assuming o is positive.\nAnswer: o**(-148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -23917*d**2 + 2*d. Let q(g) = -47*g**2. Determine m(q(t)).\nAnswer: -52832653*t**4 - 94*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177856367?\nAnswer: 13, 13681259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 8:33 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 171194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3335*f**5*j**3 - 806*f**3*j - 4*f**2*j**3 - 28*f**2 + 4*f + 2415*j**3 wrt f?\nAnswer: -200100*f**2*j**3 - 4836*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1.718, -12.3 in ascending order.\nAnswer: -12.3, -2, -1.718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*((-4)\/(-3) + 0). Suppose w*s + 50 = -5*i - 28, 5*i - s = -93. Round i to zero dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*1 + (-1441)\/(-131)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-3)*194\/485?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 21, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 774*z**3 + 16*z**2 - 12384*z - 256.\nAnswer: 2*(z - 4)*(z + 4)*(387*z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151 by 3.\nAnswer: 151\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4 + 1402083*d**3 + 2011972*d**2 wrt d?\nAnswer: -48*d + 8412498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163798.\nAnswer: 2, 81899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46011420 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p*p**(3\/4)*p)\/p)\/p)\/p)\/((p**3*p)\/p))\/((p**(1\/8)*p*p)\/(((p*(p\/p**5)\/p)\/p)\/p)) assuming p is positive.\nAnswer: p**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.03 - -0.03. Let n = q + 12. Let j = n - 7.15. Round j to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -145*j - 168. Determine l(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4344*o**2 + 137 + 43 - 4341*o**2 - o**3 to y*o + q*o**3 + w*o**2 + i and give i.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -199.27910592 take away -291?\nAnswer: 91.72089408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.708 (b) 0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 239.3641 (b) -2\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -224102 + 45412?\nAnswer: -134250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**5\/20 + d**4\/6 - d**3\/2 - 4*d**2 + 83*d. Is p(6) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 2*z + 2438*z**2 - 2424*z**2.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 33. Let u be (-14)\/10*(-12)\/(-14). Let l = -27\/10 - u. Which is the closest to s? (a) -5 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -189.96562 - 0.03438. What is the second smallest value in q, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 7*s + 8. Determine w(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*p - 187*p + 6538520 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 6. Let h = 280.833 - -0.167. Let b = h + -284. Put 4, c, b, 2 in descending order.\nAnswer: 4, c, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (6 + -5 - 13)) + -14.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146506.\nAnswer: 2, 17, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 times -22.82?\nAnswer: -1802.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*4\/6 + -44. Let w = -99 - l. Let a = -38 - w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4351 and 171063687.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -1\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2571 + 6797723\/2644. Let t = l - 124263\/13220. Calculate the common denominator of t and 44.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -14. Solve i*u = 0, u - 6*u + 10 = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 39*a**2 + 3*a - 17. Let c be r(39). Calculate the greatest common divisor of c and 280.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11661612 (base 7) to base 10\nAnswer: 1057086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*(-34)\/(-12) - 43\/129. Let c be (-879)\/177 - (-140)\/w. What is the second biggest value in 5, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7856, -7857, -7858, -7859, -7860, -7861?\n\"Answer: -f - 7855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/47683810 and 38\/9817255?\nAnswer: 333786670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*f + 10411*f**2 - 45*f + 30*f - 10162*f**2 - 180*f wrt f.\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17804.1 to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**8\/60 + 13*c**4\/12 + 5*c**3\/3 + 9*c. Let s(z) be the second derivative of t(z). Differentiate s(b) with respect to b.\nAnswer: -112*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5*n - 10, -n = -3*q - 5*n - 8. Solve -3*a + q*a = 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**4 - 8*r**3\/3 + 2*r**2 - 10. Determine y so that l(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276 = 4*r - 47*r - 49*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**3 - v**2 + v. Let j be x(1). Suppose j*q = -0*q + 56. Let p = -14426 + 14453. What is the remainder when p is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1767741\/209 - (-5)\/(-55).\nAnswer: 2, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/20)*a*a**(-42))**(2\/17) assuming a is positive.\nAnswer: a**(-823\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*k*v - 3768029*k + 111357455*v wrt k?\nAnswer: 8*v - 3768029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -0.795.\nAnswer: 6.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3222 - -10230?\nAnswer: 20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1798.89 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -11 - (-3 - (-1 - -5 - 9)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**4 - x**3. Suppose 4*k - 5*g = -11, 0 = 3*g - 2 - 7. Let t(r) = -9*r**4 - 3*r**3 - 1. Let o(n) = k*t(n) - 3*v(n). Differentiate o(w) wrt w.\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 131321571, 262643141, 393964711?\n\"Answer: 131321570*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g = -62*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-54)\/(-10) - (-2)\/(-5). Suppose -7 = 3*m + g - 0, 0 = 2*m + k*g + 22. Let u(p) = 15*p**2 + 1. List the prime factors of u(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*y, 12*c - 9*c - 4*y = 29. Sort -0.05, c, -1\/10 in ascending order.\nAnswer: -1\/10, -0.05, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-3*1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*r - 1675*r + 335*r + 638*r + 357*r + 3*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -30, 3, 13, 8\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173*p**3*q**2 - p**2*q**2 + 30 wrt p.\nAnswer: 1038*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 68 + 6. Suppose -o - 2*o - 3*f + 39 = 0, 4*f = 5*o - p. Suppose 15*h - o*h = -8000. What is h rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4610971444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178 - 588. Let f = -96 - u. List the prime factors of f.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**5 - m**3 + m**2 - m + 1. Let t(o) = 3*o**5 + 5*o**4 - 5*o**3 + o**2 - 4*o + 6. Let x(a) = -30*d(a) + 5*t(a). Find y, given that x(y) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 108 (b) 3\/11 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-160)\/(-48))\/((-1)\/(-15)). Suppose 8*z + 5*n - y = 3*z, -4*z = -n - 60. Suppose -2*a = -5*d + 93, 3*a + 111 = 5*d + z. Is 16 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 + 3668 = 27*i. Calculate the highest common divisor of 14 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l - 2*l + 12 + 4*l - 6. Let v(d) = -5*d - 3. What is -4*a(z) - 7*v(z)?\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvvvvvutvttv. What is prob of picking 2 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/81900 and 19\/2313675.\nAnswer: 9254700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - p. Let w be b(-1). Let l = -73 - -70. Put 2, l, w in decreasing order.\nAnswer: 2, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (70\/(-15) + 3)\/((-1)\/3). Suppose -j - b = -11. Let m(i) = i**2 - 8*i + 7. What is m(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/(sqrt(12)\/sqrt(3)*5 + sqrt(4)))\/(sqrt(6) + -5*(sqrt(6) - sqrt(18)\/sqrt(3)) - (sqrt(6) - (sqrt(6) - sqrt(36)\/sqrt(150)))))**2.\nAnswer: 175\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -0.13705276703.\nAnswer: -0.13705276703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44258 + 24743. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.17, 109943, 5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.07 (b) -1\/8 (c) 1\/2 (d) -15\/4 (e) 0 (f) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 4*n = 3*m + 12, -2*m + 4 = 2*n. Let g(j) be the second derivative of j**5\/20 - j**4\/3 - j. Determine g(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1268300 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15606 (base 7) to base 5.\nAnswer: 120131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/(-42))\/((39\/(-780))\/(27\/(-252))).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/(-14))\/((-1210)\/385))\/2.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -553 divided by 553\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770196 is divided by 9061?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 2*o**2 - 6*o**2)*(o - o + 2*o**2) + o**4 - 3*o**4 + 0*o**4 - 19*o - 5*o**4 + 19*o.\nAnswer: -11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.29, 142, 26 in decreasing order.\nAnswer: 142, 26, 0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26844 divided by -4.\nAnswer: 6711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 2*i - 4. Let f be m(-10). Let s(q) = -q**2 - 24*q - 21. Let a be s(-23). Is -2 + ((-6)\/a - f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -6)*(-4)\/10. Let v = 267 + -299. Let k be v\/(-8) - 7 - 5. Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2. Let u(j) = 308598335*j. What is u(q(g))?\nAnswer: 308598335*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 348 + 1?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8041.545 years?\nAnswer: 804.1545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-9) + 11\/6. What is the third biggest value in n, 0.16, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((44\/24)\/(-11))\/((-28)\/(233856\/24))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35928 is divided by 1123.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87941957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6617872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0085 - -0.3435. Round n to 2 dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u + 6. Let w be 27\/(-9)*1 - 7. Give t(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*p**2 - 847*a**2*p - 5*a*p - 105329*p**4 - 29*p wrt p?\nAnswer: -4*a**2 - 1263948*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0802 + -0.053. Let p = 0.064 - v. Let s = 0 - p. Round s to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4545.874 litres in millilitres?\nAnswer: 4545874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 54464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/3))\/(c\/(c\/c**(-6\/17))))**(-7) assuming c is positive.\nAnswer: c**(-721\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 26078 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 14. Suppose h = -3*n + 5*x + 27, -x + 17 = n - 0*x. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 387498 and 510?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 36 - 401. Suppose 3*d - 4*r = q - 1, 5*d - r = 137. Let s be 30\/35 - (-4)\/d. What is the fourth smallest value in -3\/4, -0.5, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 + k + 3. Let t(a) be the second derivative of 11*a**4\/12 + a**3\/2 + 3*a**2 + 3*a. Let r = 6 + -3. Let w(u) = r*t(u) - 7*q(u). Determine w(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l**2 + 25*l + 5. Let i be t(5). Let m = 43 + i. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11124 - -56723. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 41, 64, 85, 104, 121?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - f + 3. Let w be j(-4). Let u = -3 - w. What is the smallest common multiple of 22 and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmf when three letters picked without replacement from {m: 2, r: 1, f: 1, l: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1491*i + 1495*i - 2988*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(21\/(-84)*4*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:23 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1348*d - 381684 = -5090*d for d.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 900459\/737 >= 1222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - -5*sqrt(72)) + 4 + ((sqrt(72) - (sqrt(72) + sqrt(72) + 2 + sqrt(72)) - sqrt(72)) + 3)**2.\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(6)\/sqrt(3) + -5).\nAnswer: -30 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -50277 + 0.221581\nAnswer: -50276.778419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -507 - -284. Let j = n + 223. Sort 7, j, -1\/4, 3\/2 in descending order.\nAnswer: 7, 3\/2, j, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**6\/120 - b**5\/12 - b**4\/8 - b**3\/3 - 62*b**2. Let z(o) = -o**3 - 8*o**2 - 5*o - 3. What is -8*s(f) + 5*z(f)?\nAnswer: 3*f**3 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 96 = -0*l + 2*l, -4*h + 185 = -3*l. Let a = -27 + h. What is the lowest common multiple of a and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*m**3 + 45*m + 46*m - m**2 - 252*m**3 - 92*m - 3 - 93*m**3 as i*m + u + l*m**2 + a*m**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3\/5 (b) -22.6 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007531 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0.9. Let v = x - -0.3. Suppose 0 = o + 5*p + 27, 4*o = -3*p + 4*p - 3. Which is the third smallest value? (a) v (b) o (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 430.35 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/10*(-120)\/18. Let m(z) = -z**3 + 24*z**2 + z - 19. Let a be m(l). Solve -7*o = -a*o - 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*g - 3, -4*k = -4*g + g + 4. Let d = 9 + k. Let t(n) = -n**2 + 10*n - 12. Let v be t(d). Solve -2*l + 4*l + v = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a centimeter in micrometers?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -41. Let o(j) = -j**3 + 5*j**2 + 7*j - 9. Calculate o(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 598*v\/5 - 10116\/5.\nAnswer: -2*(v - 281)*(v - 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-690)\/414*36\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -759 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -40, -57?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3*k + 30 = 60, -2*n + k = -10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 36*v**2 + 15*v - 5. Is c(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 65. Let r(t) = t**2. What is r(b(v))?\nAnswer: v**2 + 130*v + 4225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7654 - -7649. Which is the nearest to -0.5? (a) g (b) 0.3 (c) 23 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 2*u**2 + 9*u + 18. Let c be b(-2). Suppose 0*g - g = -4. Solve c = -w + 4*d - d - 4, g*d - 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000010011111110101 (base 2) in base 13?\nAnswer: -96c8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.005 + 0.005. Let r = -241.36 - -211. Let o = r - z. What is o rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -101, -2\/7 in descending order.\nAnswer: 0, -2\/7, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -196 (b) 383 (c) -2\/9 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2255717385151 and 0.06?\nAnswer: 2255717385151.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -407, -610, -813, -1016, -1219?\nAnswer: -1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -2 + 11*t - 1\/2*t**2. Calculate the lowest common multiple of 11 and l(5).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019357044.\nAnswer: 2, 101, 2523161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-64)\/24 - (-4)\/6. Let o(r) = 2*r**3 + 2*r**2 - 3*r - 3. Let j be o(y). Suppose -u + 28*u = 135. Sort 4, u, j, 1 in ascending order.\nAnswer: j, 1, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4723, -4722, -4721, -4720, -4719?\nAnswer: -4718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssqsssq. Give prob of picking 1 q and 2 s.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-25))\/((-24)\/60)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 125 and -10.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/3*(-7 + 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 949 and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 3:36 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 35*x**2 - 3*x + 1. What are the prime factors of j(-1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1148073514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4 - 204*w**3 - 210*w**2 + 204*w + 207 = 0. What is w?\nAnswer: -1, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*c - 0*c - 111, 0 = -2*x - c + 40. Let f = x - 30. Is (854\/(-4))\/(f\/18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*p - 4499 = -5*d, 139 = 2*p - 2*d + 107 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/(-2))\/(-7)*(-408)\/(-238).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l + 3. Let r(p) = 2*p - 1. What is 2*i(h) + 7*r(h)?\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/7230 and -25\/26166816?\nAnswer: 130834080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3203021 + 5003?\nAnswer: 3211024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8087\/420 - -1\/210. Find the common denominator of q and 101\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 9*t**2 - 6*t + 7. Determine o(-7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -9 + -112 + 18 + 56?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -157 + 152. Let d = -50 + 81. Let s = d + -30. What is the biggest value in a, s, -2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -6*d + 5*d. Let g(s) = -s**2 + 17*s - 28. Let j be g(d). Calculate the greatest common factor of j and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhihhhhhih. Give prob of sequence ihh.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.8\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 190 or 310381?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 798 and 18?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -47152*i + 2. Let b(k) = 2*k. Give j(b(g)).\nAnswer: -94304*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1378 (b) -14 (c) -1 (d) -15 (e) -4 (f) 2\/9 (g) 1\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1448122.89 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**4\/24 + 355*q**3\/12 + 177*q**2\/2 - 45*q - 12. Factor y(f).\nAnswer: (f + 1)*(f + 354)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 27623.\nAnswer: 552.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1295705 is divided by 666?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 plus -56.71?\nAnswer: -55.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 0*w - w)*(w**4 - 4*w + 4*w) - 3*w**3 - 1014*w**5 - 1023*w**5 + 435*w + 2039*w**5.\nAnswer: 4*w**5 - 3*w**3 + 435*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = -9*b - 101. Let n(h) = 4*h - 68. Let c be n(b). Solve -10*l = -14*l - c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + 2*l**5 + l**5 + (l**2 + 2 - 2)*(72 + 11*l**3 - 72).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 + -81. Suppose -w*u + 3022 = -58. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-357)\/735 + (-2)\/(-10))\/1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 100956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42.016729454 + 0.016730334. Let u = t - -42. Round u to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2682246 months to decades.\nAnswer: 0.002235205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 0.1, 1225?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 20 = -5*i, -3*v - 3*i = i - 15. Suppose 4713 = v*t + 398. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154858+64\nAnswer: 154922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-31 - 1410\/(-47))*(0 - -5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 1. Let h(s) = 3*s**2 + s. List the prime factors of h(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/3068 and -19\/9204?\nAnswer: 9204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkt when three letters picked without replacement from ttk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -35927\/820 and -44 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from gpepllgeggglplgggpp?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101083412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7a62c (base 14) to base 3\nAnswer: -120010012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13912.8 rounded to the nearest 100?\nAnswer: -13900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -80 + (-30 + 95 - 32)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2401*y**3 - 11*y + 1200*y**3 + 9*y - 1148*y**2 + 1195*y**3)*(-4 + 1 + 1) to the form o*y**2 + c*y**3 + t + b*y and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 7*d + 66. Let v = 6767 - 6762. Calculate k(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Let a(c) = c**3 - 29*c**2 + 27*c + 29. What is the least common multiple of r and a(28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 26 and 536.87?\nAnswer: 510.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 11:51 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 100 - 69 + 0*s. Let u be c(-8). Suppose -4*o + 369 = r, -3*r = -o + 2*r + 87. What is the greatest common divisor of o and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 305\/(-45))*(2 + -3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, u: 5}. Give prob of picking 1 u and 3 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 17*v**2 - 31*v - 19. What is the hundreds digit of d(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -172.2 (c) 5\/459\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = x + 5*y - 3*y, -y = 4*x + 118. Let z = x - -33. Sort -5, z, -2 in decreasing order.\nAnswer: z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 25b?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*8421020.\nAnswer: 2526306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 506437344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/sqrt(4)*1)\/(sqrt(22)\/sqrt(176)))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 2*v**2 + 15*v - 56. Give s(7).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 3742622.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 6 - 0 - 1*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 127051509 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -337532 (base 8) to base 2\nAnswer: -11011111101011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 0*y**2 - 2*y**2)*(-y - 3*y + 2*y) + (-2 - 2*y + 2)*(70*y - 284*y**2 - 70*y) + (0*y**3 + 0*y**3 + 2*y**3)*(-1 + 3 - 4) + 3*y - 3*y - 3*y**3.\nAnswer: 563*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*g, -4*w - 3*g + 7704 = -54315. Suppose 6*r = -11*r + w. What are the prime factors of r?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/3)\/((-20)\/60))\/(3\/(-45)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4ca (base 14) in base 2?\nAnswer: 1111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70 * -0.31.\nAnswer: -21.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (920\/(-36))\/5 + -10*(-14)\/28?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) -3 (c) -4\/11 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61 and 33001.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1 + sqrt(720))*6 + 0 - 5*((1*sqrt(720) + -1 - sqrt(720)) + 0))**2 + 4.\nAnswer: 25924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-60)\/(-4) + 0\/(-1). Suppose -2*a - 44 = 3*d - d, -5*a - w = 0. Let i = 42 + d. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 11:43 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 332624, 665274, 997950, 1330652?\n\"Answer: 13*r**2 + 332611*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 26159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j*(j*(j*(j\/j**3)\/j)\/j)\/j)\/j)*j**(-22)*(j*j\/(j\/(j\/(j**(-3\/10)*j))))**(4\/15) assuming j is positive.\nAnswer: j**(-1324\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 + 0 = 0, -5*i = -2*y + 11. Suppose -3*r = 2*n, -2*n + 2*r = 3*r - y. Suppose -5*o + n = -34. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(32)\/sqrt(2)*-6)\/sqrt(8) + sqrt(6)\/(sqrt(147)*-1)*-3 + 5.\nAnswer: 5 + 45*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -40*p + 2. Let r(a) = -4*a**2 - 28312 + 5*a**2 + 28312. Give i(r(u)).\nAnswer: -40*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5 = 0, s - 117 = 4*d - 2*s. Let r be d\/3*32\/(-80). Solve -4 = 3*m - 5*m + r*b, 0 = -b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-99)\/(-22) + (-6)\/4. Suppose 19 - 70 = -s*q. Let d(i) = -i**2 - 4*i - 8. Let c(n) = 3*n**2 + 11*n + 23. What is q*d(x) + 6*c(x)?\nAnswer: x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 39 + 1292 = -3*y, -h - y + 322 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -2*a**6\/15 - a**5\/5 + a**4\/3 + 2*a**3\/3 + 36*a. Factor h(k).\nAnswer: -4*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven eighths of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 45. Does 15 divide (2 + -3)*-63 - (j + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91874036 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1043966374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 1 + -1)*-11. Let s = l + 13. Let v be -1 - -7 - (10 + s). Solve -4 = v*f - 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7521, -7514, -7505, -7500, -7505, -7526?\nAnswer: -7569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvbxfcccfffcxnffcnc. What is prob of sequence nc?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 43 (b) -2\/19 (c) -1\/4 (d) -2 (e) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17773772646.39999527 - -17773771693.4. Let o = -953 - i. Round o to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 92. Which is the nearest to -3? (a) h (b) -0.14 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1528 and 21969966?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1294.8 and 813.\nAnswer: 1052672.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 7*m**2 - 2*m + 7. Let f be ((-5)\/(-2))\/((-1)\/2). Let k(o) = o**2 + o - 3. Calculate the remainder when z(f) is divided by k(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -252482*d + 252482*d - 1749*d**2 + 6103*d**2 to the form v + s*d**2 + n*d and give s.\nAnswer: 4354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4.9999928. Round m to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166*d**2 - 38*d + 1 wrt d.\nAnswer: 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20418 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -17*x**2 - 120 + 6*x - 52*x**2 - 18*x**2 + 36*x. Let u(w) = -18*w**2 + 8*w - 24. Let v(a) = -5*d(a) + 24*u(a). What is j in v(j) = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -11144*j + 187. Is x(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.5 + 23.52. Let u = -0.02 + z. Let t = 4 + u. Which is the closest to t? (a) 5 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993378504 a multiple of 3764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 39\/4 (b) 0.4 (c) -530 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 2. Let y(j) = 5*j - 14. Let r(a) = -4*a + 13. Let w(g) = -4*r(g) - 3*y(g). Let b be w(8). Determine c(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7931.125 microseconds to nanoseconds.\nAnswer: 7931125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (1 - 0) + -1. Let l be 10\/(-15)*3*2. Let h = -2 - l. Solve -w + i = -h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718*s + 7*s**2 + 718*s.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*c - 9*c**3 + 7*c**3 - 3*c + 1 to w*c + l + k*c**2 + y*c**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 5. Let s(n) = 3*n**3 + n**2 + n - 2. Let t be s(2). Calculate the remainder when 1660\/t + (-2)\/7 is divided by h(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a + 5*w - 8 = 0, 5*a - 2*w = 12. Let c be 5 + (-9)\/(4 + -1). Suppose -a - c = -3*p. Solve 0 = v + p*s - 13, s + 0 = -v + 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -182*b + 180*b, 0 = 2*g - 2*b + 8 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -81772715.5 times -5?\nAnswer: 408863577.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 172, 327, 480?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s**2 - 2. Let c be t(-1). Let q(o) = -6*o - 51. Let b be q(c). Differentiate -b*x**4 + 17 + 38*x**4 + 9 with respect to x.\nAnswer: 116*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 1.3, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*m - m - 2*p, m - 22 = -2*p. Let d be ((-1)\/(-2))\/(1\/m). Suppose -d - 6 = -4*w - 4*l, -5*w + 48 = -2*l. Solve w = -2*f + 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-9)*-6*1*99\/396?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 41\/(-13)*1\/3. Let c = 1613\/234 - f. Calculate the common denominator of c and ((-259)\/126 - 10\/(-5))*309.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 0*g - 4 - 1\/3*g**3 + 0*g**2. Let c(r) = -2*r. What is c(t(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 898*v**2 - 237354*v - 720090.\nAnswer: 2*(v - 189)*(v + 3)*(v + 635)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 12772932*u. Let b(c) = 6*c**2. Calculate f(b(i)).\nAnswer: 76637592*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 86. Calculate f(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -227, -338, -493, -692, -935?\nAnswer: -1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/6 + 18056\/(-111). Which is smaller: p or 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*l - 6. Let r be (-27)\/l*(-30)\/9. Let v = -20 - r. What is the remainder when v is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222792816 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 315908 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 85*o + 1078. Give a(-53).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 3*s - 59, 0 = 5*r - 4779*s + 4774*s - 30 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 1:38 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**6\/120 - f**4\/8 + 2*f**3\/3 + 12*f**2. Let y be r(2). What is the biggest value in 5, y, 3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 0.09, 1, 7?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3780683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7058 times -652\nAnswer: -4601816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -382.42 - -382.4198938. Round j to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*p**5 + 11*p**5 - 17*p**5 + (0*p**2 + p**2 + p**2)*(0*p**3 - 2*p**3 + p**3).\nAnswer: 18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 10 = 0, 2*i = -i - 3*t + 3. Suppose -2*s - 5*v + 144 = 0, -s + i*v + 42 = -2*v. What is the lowest common multiple of s and 18?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*n + 971 = 2*t, 3*t = -5*n + 1409. List the prime factors of t.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 36. Solve 16*j - 27*j**3 + 2*j**5 - 14*j**2 - 57*j**3 + 66*j**3 + 14*j**f = 0 for j.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 307 and -0.834729?\nAnswer: -256.261803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -3*h**7\/56 + 7*h**6\/60 + 3*h**5\/40 - h**4\/4 + h**3\/6 - 8*h**2. Let z(j) be the first derivative of x(j). Factor z(y).\nAnswer: -3*(y - 1)*(3*y - 1)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -n + 2*c + 82, 2*n - 290 = -4*c. Let q(x) = -129 - 9*x + n + 6*x. Let w be q(3). Put 4, -5, -4, w in increasing order.\nAnswer: -5, -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2908 divided by 218?\nAnswer: 1454\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/4 + u**3\/4 + 7*u**2\/4 - u\/4 - 3\/2 = 0. Calculate u.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23494 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5028\/10)\/2 - (-14)\/(-35). Suppose -o = -17*k + 123. Solve -k*r + 6 = -19*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3393 at least as big as 3392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200226 and 8886954.\nAnswer: 115530402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -3*d**5\/80 + 9*d**4\/8 - 41*d**3\/8 - 45*d**2\/2 + 4088*d. Factor o(i).\nAnswer: -3*(i - 15)*(i - 4)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t. Let v(a) = 279543*a + 7092. Let y(i) = 1182*i + 30. Let k(h) = -5*v(h) + 1182*y(h). What is k(j(o))?\nAnswer: -591*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11493 + a?\nAnswer: -11489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18410216842030 and 4?\nAnswer: 18410216842034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 6*i + 6 = 0. Suppose i*m = -m + 15. Let f(j) = -j**2 + 6*j - 2. Let g be f(m). Solve -2*q - g*k = -4*k - 3, -5*q = k - 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1468309 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 13*o + 187. What are the prime factors of (-3)\/(-9)*o*-3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/15)\/h*h*h*(h*h\/(h*(h*h**4)\/h*h))\/h*(h**(1\/4))**(-12))**(-1\/20) assuming h is positive.\nAnswer: h**(107\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f + 4. Let o(j) = j**2 - 5*j - 8. Let s be o(7). List the prime factors of h(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*v + 480 - 620 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 + 6 + -2 + (-1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 14*l. Let v(d) be the second derivative of -5*d**3\/6 - 8*d. Give -8*v(s) - 3*w(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-10)*-1*-1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {l: 17, t: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*f - 29 = -3*h, 2*f = 4*h - 152. Let c be h\/7 - (-4)\/(-14). Suppose 0 = i + 4*x + 20, -25 = -3*i + 4*i + c*x. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 42*h**3 + h**2 - 2*h. Give b(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10100 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*x = 37, f + 32*x - 19 = 27*x for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 845486 - 40?\nAnswer: 845446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1\/3 (c) -2 (d) 53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44587\/3 at most 14862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/5225 and -7\/19.\nAnswer: 5225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 64*w - 1028. Let c be p(-35). Let n(v) = 24*v**2 + 7. Let u(r) = 48*r**2 + 15. What is c*n(s) + 6*u(s)?\nAnswer: -24*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c**3 - 5*c**3 + 8*c**3 + 512*c**2 - 427*c**2 in the form j*c + w + d*c**3 + b*c**2 and give b.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -149, 2\/27, 5, 0?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11002 + 2310 = 14752*z - 14240*z for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23543521 to two decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 3*b - b - 89124 = 0, 0 = b - 9. What is the smallest common multiple of 50 and s?\nAnswer: 111450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20867000 to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b**2 + 2*b + 1. Let n be m(-1). Let y = n + -3. Solve y*o = 3*c + 16, c = 3*o - 0*o - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 8 = -97*r + 96*r, 0 = -2*x + 9*r - 38 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*j**3 - 6*j**2*x**3 + 531*j*x**3 + j*x wrt j.\nAnswer: 300*j - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18365 (base 14) to base 11\nAnswer: 41956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3237.\nAnswer: 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + (-1)\/(-3))*12\/8. Solve -3*h = -s*f + 20, 0*f - f - 3*h = -4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.043.\nAnswer: 0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9239*f**4 - 2*f**2 - 52*f + 1 wrt f?\nAnswer: 221736*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 241487739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -18 - -1) + -20 + 20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gloeggglegeo. What is prob of picking 2 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-3 + 1) - (-1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -10, -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Let u be -2 + 5 + d + 2. Suppose -2 = 4*r - 3*r + 3*y, -5*r = -2*y - 24. Sort u, r, -3.\nAnswer: -3, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 25 = -n, 0*x + 2*x = -n - 4. Let q be (-2)\/5 + (-24)\/n. Suppose -c = -5*r + 7, -3*c - 16 = -7*c - q*r. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 8*w + 2*w - 5*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/5 (b) -1 (c) 16\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -101539*o - 7. Let g be b(-13). Suppose 0 = -5*m - 4*a - 3300000, -2*m + 4*m + g = -5*a. What is m rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20920446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, v: 3, w: 4, u: 2, z: 1}. What is prob of picking 3 w and 1 z?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9869, -9870, -9871, -9872?\n\"Answer: -j - 9868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16984\/3088)\/(-1 + -1).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 3*y - 10. Is l(-6) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33947, 33949, 33951, 33953, 33955, 33957?\n\"Answer: 2*j + 33945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-16)*(-128)\/(-96)*200\/(-36)\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*x - 310 - 309 - 5*x**3 + 554 - 55*x**2 = 0 for x.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*h - 214*h + 141*h - 267*h to the form w*h + t and give w.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 4, h: 4, i: 1}. What is prob of picking 2 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 1 = -y. Let x(s) = -28*s - 6. Let o(d) = -9*d - 2. Let v(h) = y*o(h) + 4*x(h). Does 20 divide v(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2949*g + 2988*g - 6201*g)*(-3 + 4 - 2)*((-g - 2 + 2)*(1 + 1 - 1) - g - g + 4*g + g + 2*g - 2*g).\nAnswer: 528*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3498, 3833, 4168?\nAnswer: 4503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55\/6? (a) 4\/43 (b) 6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 25*k**2 - 23*k - 83. Calculate the lowest common multiple of v(-25) and 18.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 24999*y**3 + 2*y**2 + y - 2. Let i = -2 + 4. Let a be w(i). Suppose z - 5*z = a. What is z rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -20. Suppose -a - 21 - 92 = -2*d, 3*d = -r*a + 202. Calculate the remainder when d is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161.8971 times 1\nAnswer: -161.8971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -7356.85 to the nearest ten.\nAnswer: -7360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**7\/120 + 11*t**4\/8 - 4*t**3\/3 - 52. Let x(y) be the third derivative of d(y). Differentiate x(q) with respect to q.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/5 - 36*s\/5 - 162\/5 = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 51 (b) -0.1 (c) 0.1 (d) 0 (e) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 - -30. Let z = 67 + k. Solve z*j - 18 + 50 = 3*u, u - j = 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2. Suppose -v = -2*f - 13, 4*v - 2*f = -0*v + 22. Let t(w) = 3 + 0 - v*w**2 - 3. Give t(h(c)).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 5:03 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 6 - 17)*(3*y + 0 + 0)*(2*y**2 + 0*y**2 - y**2).\nAnswer: -216*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*g = q - 9, 3*q = -3*g + 9. Let m(k) = 4*k - 7. What is the remainder when m(q) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32864471.51 rounded to the nearest one hundred thousand?\nAnswer: -32900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(648) + sqrt(648)))**2.\nAnswer: 5184*sqrt(2) + 93456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*y + 31, 5*y - 9 = -q + 6. Solve y*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17679?\nAnswer: 3, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238, 817, 1736, 2995, 4594, 6533?\nAnswer: 8812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4203421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454067 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u + 6. Let i be j(3). Let q be -3*(-4 - 7\/i). Suppose -15 = q*z - 310. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 734354766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9417967 rounded to 2 decimal places?\nAnswer: 4.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39.7 * -4.\nAnswer: -158.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 199348*p**3*u**4 - 53075*p**3 - 4*p*u**5 + 8*u wrt u?\nAnswer: 2392176*p**3*u**2 - 80*p*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u - 14 + 211*u**2 + 227*u**2 + 31 + 167*u**2 - 15 as f*u**2 + m*u + o and give f.\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 10*g**2 + 10*g - 3. Determine f(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 14*r - 16. What is a(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a37 - 1?\nAnswer: -6a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -176 - -176.4. Sort a, -0.2, -3\/4, 4 in descending order.\nAnswer: 4, a, -0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49433?\nAnswer: 49433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26351677 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*v - 244. What is the common denominator of (-10)\/25 + 207\/255 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18, -27, -48, -87, -150, -243, -372?\n\"Answer: -y**3 - 2*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 j when three letters picked without replacement from {a: 6, i: 2, c: 3, j: 3, k: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -11)*(2 + (-6)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 151, 305, 459, 613, 767, 921?\n\"Answer: 154*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 6. Let d be z(-8). Suppose 0 = -2*m - d*m + 20. Suppose 0 = 4*x + 4*c + c - 1319, -m = 5*c. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 - o**4 + 0*o**3 + o**4 - 6*o**2 + 6*o**2 + (-2 - 2*o**2 + 2)*(3*o**2 - 4*o**2 + 3*o**2) - 2*o**4 + 2*o**4 - o**4.\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 10 - 7 - 2355*u.\nAnswer: -2355*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 8*v + 8. Let c be k(7). Let p = -16.7 + 17. Put p, c, -3\/7 in descending order.\nAnswer: c, p, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-18))\/(2\/4). Find the common denominator of -69\/65 and (q\/20)\/(108\/1809).\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3026.5126?\nAnswer: -3025.5126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14506 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 2, 16, 0.04?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42110.4795 - 3.\nAnswer: -42113.4795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 74201877 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-22)\/1)\/((-3)\/6). What is the third derivative of -d*j**2 + j**2 + 25*j**5 - 12*j**5 wrt j?\nAnswer: 780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.0511 to one dp.\nAnswer: -90.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2525464.61 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/52296 and -17\/156?\nAnswer: 679848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*h**2 + 3*h**5 + 7*h**5 - 10*h**2 - 18*h**2 wrt h?\nAnswer: 600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13389*w + 13392*w = -33 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17c6c7 (base 13) to base 11\nAnswer: -379949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-42))\/(((-45)\/2520)\/((-2)\/(-12)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14575185*w**2 + 29150470*w + 200 = 0. Calculate w.\nAnswer: -2, -20\/2915037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a + 2*y + 4, a + 3*y + 6 = 0. Solve -2*b - 8 = a, -2*i - 18 = -6*b + 8*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 7*x - 39. What is the remainder when 103 is divided by p(-12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4850.252 to the nearest one hundred.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548266963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*c - 12*c - 296 + 46 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (0 + -3 - 2). Sort 0, -1, p in decreasing order.\nAnswer: p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*s + 16, 3*i = -8*s + 3*s + 22. Let n(a) = -11*a - 2 - i - 5. What is the lowest common multiple of 4 and n(-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 15. Is -478*(-1)\/v*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(13 - 13 - g**3) - g**3 - 2*g**3 + 2*g**3 - 54*g + 54*g + 60*g**3.\nAnswer: 61*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**3\/3 + 5*p**2 + 5*p. Let y be c(6). What are the prime factors of 2\/4*y - -24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - -26.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*p**2 + 3*p**3 - 2*p**3 - 222 + 2*p + 2*p**3 + 220 + 9*p**2 in the form b*p**2 + y + q*p**3 + j*p and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o**3 + 147*o**2 + 84*o - 12 = 0.\nAnswer: -2, -1, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -31. Suppose -o = 5*b - 2*q + 8, -13 = 3*b + 4*q. Put -5, 1, b, -1 in ascending order.\nAnswer: b, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 19, -4 in descending order.\nAnswer: 19, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 7:14 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - (sqrt(32)\/sqrt(4) - sqrt(8)))*2 + sqrt(8) + sqrt(8))\/(-4*(sqrt(36) + sqrt(4))).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 68? (a) -24 (b) 2428 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 12:20 PM?\nAnswer: 531","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u + 27. Let x be v(5). Solve n - 8 = -x*c + 3*n, 0 = 4*c + 2*n + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 9, 1 in decreasing order.\nAnswer: 17, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 20, -2\/13, -1 in descending order.\nAnswer: 20, -2\/13, -1, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*c - 1802 = 844 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 26*w**2 + 14 - 15*w**2.\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143838, -143839, -143840, -143841?\nAnswer: -143842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 - 16*d + 14. Let p be t(-9). Is -9*130\/(-15) + p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjgg when four letters picked without replacement from cjccgggcjggjcgcgggc?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 152*d**5 - 427*d**5 + 801*d**5 + 2 - 2*d**5 - 2 + (d**5 + d**2 - d**2)*(3 - 7 + 3).\nAnswer: 523*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 110*b - 209*b + 104*b + 51, -3*b = -f + 45 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 6*s + 2. Let l(h) = h**2 + 2*h + 1. Determine 3*l(b) + p(b).\nAnswer: b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s + 8*s + s - 14*s + 358 in the form w + v*s and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 1:29 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*h + 4, -5*a - 2*h = -8. Suppose -2*i - 13 = 3*u, -a*i - 29 = 5*u - 10. Let n be 3\/i*(-80)\/30. Solve n*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 101*r**3 - 1347*r**2\/2 + 2895*r. Find the first derivative of o(t) wrt t.\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j. Let g(l) = 2*l**2 - 6*l - 8. Let v be g(4). Let c(r) be the third derivative of -3*r**2 + 0*r + v + 0*r**3 - 1\/12*r**4. Determine c(u(s)).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1481894 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 234+-2\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12268064261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 90*l**3*y - 2185*l**3 - 3172*l**2*q - 143*l**2*y - 7*q*y wrt y?\nAnswer: 90*l**3 - 143*l**2 - 7*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -375*32*14\/3. Round d to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -18. Let o = -261\/2 + 130. Is a at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10200 (base 5) to base 10.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5868 + 15329 = 937*y - 1291 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.35792 - -2.642064. Let y = a - 4. What is y rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -2, -5, 1312 in decreasing order.\nAnswer: 1312, -2, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -50*c**4\/3 - 180*c**3 - 536*c**2 - 1040*c\/3 - 64 = 0.\nAnswer: -6, -4, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 22*r**4 - 4644*r**3 + 2746200*r**2\/11 - 5290000*r\/11 = 0?\nAnswer: 0, 2, 1150\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - 5*sqrt(143)*3) + sqrt(143))\/(sqrt(88)\/(sqrt(48)\/sqrt(6))).\nAnswer: -13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -115. Let p be (y\/(-20))\/(16\/10). Which is the closest to 4? (a) -1\/3 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201011 - -23321031?\nAnswer: 23120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*m**2*x**2 - 2429328*m**2*x - 511515177*m*x**2 - m*x wrt m.\nAnswer: 76*x**2 - 4858656*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 820 and -0.4.\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14644 + 43839 = 5*m, -m - 5*t = -5810. Is m a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c - 4. Let j(w) = -16*w + 9. Let h(a) = 3*j(a) + 7*u(a). Suppose -3 - 3 = y. Give h(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 1015 = -2*g. Suppose 61*r - 160 = g. Solve 0 = -5*s + 3*o - r, 2*s - 5*o + 3 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11257.2 to the nearest one hundred.\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 1:25 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/24*6)\/6)\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -z - j, 4*z + 0*j + 3*j = -15. Suppose -w + 0*w + 5*o + 530025 = z, o = -2*w + 1059995. Round w to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-605)\/44)*-28\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 488\/60 + 2\/(-15). Sort 2\/15, d, -4 in ascending order.\nAnswer: -4, 2\/15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-110) + (-434)\/2387?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19103.9495 rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 14 - 3*m + 0*m.\nAnswer: -3*m + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157708 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11986 and 10142.\nAnswer: 131846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23494.941 seconds to minutes.\nAnswer: 391.58235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 348\/5 + -70. Suppose -21*p + 16*p - 4*j = 37, 4*p - 4*j + 8 = 0. What is the nearest to z in -2\/3, p, 0.01?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3413 divided by 3.\nAnswer: 3413\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**0)**(-2\/59)\/(l**2\/l*l*(l*l\/(l**(-3\/10)*l))\/l) assuming l is positive.\nAnswer: l**(-1377\/590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/(-12))\/(1\/2). Suppose -2*l - 35 = -s + 3*l, j*l - 27 = -s. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20294\/219 + (-2)\/3. Which is the third biggest value? (a) -4 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.4 and -0.12.\nAnswer: -2.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57525 and 3009?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 4 - (1 - 4). Suppose -3*r + 11 = -l. Solve 3 = q + 2*q, -2*k - r*q = -2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - ((sqrt(50) - sqrt(2))*1)**2) + 5 + (sqrt(2)*-2 + -3)*-3.\nAnswer: -18 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 7 - 2 + 29*l**2.\nAnswer: 29*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 6. Let n(t) = -2*t - 7. Let m(p) = 7*i(p) + 6*n(p). Let z(q) = -9*q. What is z(m(k))?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tqqtt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o**2 + 13*o + 4. Let a(p) = -12*p**2 - 12*p - 3. Let y(d) = -4*a(d) - 3*x(d). Let f = -10 - -6. What is the units digit of y(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*x - 15220 = -6522 - 46366 for x.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 8:03 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*w = 2450, -4102 = -5*m + 2*w - 8*w. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/29, -0.2, 0.1 in decreasing order.\nAnswer: 3\/29, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-604)\/7 - 8\/(-28). What is the common denominator of 41\/6 and (-3 + (-148)\/(-48))*m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + -6 - (-3)\/1. Suppose -2 = -f*n + 10. Solve -n*k = -3*y, 4*y = 2*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 11009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146573105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/6 - 2471*b**4\/6 - 252965*b**3 + 1784781*b**2 - 7668171*b\/2 + 4605363\/2 = 0. What is b?\nAnswer: -1239, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360570?\nAnswer: 2, 3, 5, 7, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-7 - 1) - (4 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 2517915?\nAnswer: 5035830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -281\/6 - -47. Let m = 0.44 + 14.56. Let k = -15 + m. What is the nearest to 7 in h, 1\/3, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + 59584.\nAnswer: 59615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -25*l. Let p(o) = 1063*o**2. What is p(w(v))?\nAnswer: 664375*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9216570, -18433113, -27649642, -36866151, -46082634, -55299085?\nAnswer: -64515498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -145288 in -9, -3, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3b047 (base 13) to base 5\nAnswer: -12004114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-16)*((-2)\/4)\/(25\/10). Put -1\/3, l, 23, 5 in increasing order.\nAnswer: -1\/3, l, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 - -80. What is the remainder when g is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 1. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*f - 44*f + 22 + 317 = 0. Sort f, 2, 195.\nAnswer: f, 2, 195","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 2*(6\/(-4))\/1. Suppose 3*y - 4*c = 18, 0 = 3*y - u*y - 3*c - 6. Suppose -103 = -y*v + 89. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5824 = 11*k + 215. Let t = 866 + k. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.35, 1, 1\/7 in descending order.\nAnswer: 1, 0.35, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/120 + j**4\/24 - j**3\/6 + 6*j**2. Let g = 41 + -38. Does 2 divide a(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 764*n + 15. Is m(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*t - 41*t + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17.7 (b) -3 (c) 0.03 (d) 0.1 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -20\/49 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/42)\/(80\/35)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 107524, 107515, 107508, 107503?\n\"Answer: y**2 - 12*y + 107535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b + 11. Let x(f) = -23*f - 33. Let j(y) = -17*c(y) - 6*x(y). Let w(d) be the third derivative of d**4\/12 - 2*d**2. Give j(w(g)).\nAnswer: 4*g + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u - 6 = -o - 19*u, 5*o = 5*u - 20 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2 + sqrt(1053)*1)**2 - ((sqrt(1053)*2)**2 + -4)).\nAnswer: -3151 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 55, 122, 215?\n\"Answer: 13*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**4\/7 + 20*m**3\/7 - 80*m\/7 - 64\/7 = 0.\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5543297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 301\/(-168)*4 + (7 - (-328)\/(-48))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1872))*-5 + 1*sqrt(1872) + 1 - (-5 + (-1 + sqrt(1872)*-2 - (-1 + sqrt(1872)*1))))**2.\nAnswer: -504*sqrt(13) + 2313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10152\/13, -1, 5 in decreasing order.\nAnswer: 5, 3, -1, -10152\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1244 - 1242. What is the closest to -0.1 in 1.3, u, -2?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 16*v**2 - 20*v + 9. Let h be x(13). Round h to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(114) - (1*sqrt(114)*-6 + sqrt(114)) - sqrt(114))\/(6*sqrt(6)*-1) + -5 + (4 + (sqrt(38)*-1)\/sqrt(2))*1.\nAnswer: -11*sqrt(19)\/6 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021926378422 to 7 dps.\nAnswer: 0.0219264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1173*l*t*u**2 - 5*l*t + 29847*t*u**2 wrt l.\nAnswer: -1173*t*u**2 - 5*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 315088562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) -2\/11 (b) 12\/11 (c) 3 (d) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12213810 and 40.\nAnswer: 48855240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 2*a - 2. Let y be d(3). Let p be (-379)\/(-4) - y\/(-4). Let n = 24 + p. Calculate the highest common divisor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0 + 0)*(5 - 3 + 11)*(2 - 5 + 2).\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26 + (-4 - -4)*(-2)\/4. Let d(b) = b**2 - 6*b + 39. Is d(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o = 2*d + 15, 2*o - 10 = -4*d. Solve j - 3*j - 2*p + 10 = d, 4 = 4*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1121 (base 7) to base 12\nAnswer: 29b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103\/380 + 2\/95. Let d = 33.4 + -34. Which is the closest to 0.1? (a) -0.2 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*w + 211, 0 = -4*h - 5*w + 67 + 107. Suppose c - h = -2*j, -2*j + c + 85 = 2*j. Calculate the greatest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00857 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -m - 2*l, -3*l = -l + 10. Is 5 a factor of (-91)\/m - (-5)\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/18 and 93\/64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*o + 21 = -0*g, g = 3*o - 1. Suppose -11 = -g*w - 1. Suppose -46 = -p - 3*u, -49 - 52 = -w*p - 3*u. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 810*b**2 + 26905*b + 204600.\nAnswer: 5*(b + 11)*(b + 31)*(b + 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5581079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 54. Let v(y) = y**2 + 6*y + 8. Let q be v(a). Solve -q*n = n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.86, 6, 0.1, 122, -1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v + 13. Let p(g) = 3*g - 6. Calculate -4*n(d) - 9*p(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9322 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: Let 5*q**2 + 35755*q + 6239940 = 0. What is q?\nAnswer: -6972, -179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + (-6)\/(-15))*(-5)\/(-9). Let z = 5 - 8. Which is the third smallest value? (a) t (b) -0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 569, 1292, 2173, 3212, 4409, 5764, 7277?\nAnswer: 8948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*c + 1208*c - 4935*c.\nAnswer: -4050*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 2. Let w(z) = 3*z + 3. Let f(s) = -5*n(s) - 2*w(s). Let y = -17 + 18. Let q = 9 + -6. Let o(m) = m - 1. What is q*o(x) + y*f(x)?\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -842, -1481, -2106, -2711, -3290, -3837, -4346?\nAnswer: -4811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 54, 2\/7 in decreasing order.\nAnswer: 54, 2\/7, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -79?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3699 = 2291*s - 2154*s for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11549322.\nAnswer: 2, 3, 197, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j - a + 4, 12 = -5*j + 3*a. Suppose g = -j*g + 24. Suppose d + 25 = 6*d, -4*d + g = 4*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3655645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 53898*n + 7. Let b(i) = -2*i. Calculate b(q(t)).\nAnswer: -107796*t - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 5:22 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 678 + 223. What is the remainder when 4092 is divided by a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 41, -4 in descending order.\nAnswer: 41, 15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 585 and 2080?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + -b0ce94?\nAnswer: -b0cea5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686 is divided by 214.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5 + 5 = 0. Suppose y - 43 = -r*k + 4*y, -2*y = -k + 23. Suppose -c - 9 = -j + 2*c, 5 = -5*c. Calculate the remainder when k is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (5 - -15) - (1 - 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**14\/d**(-14))\/((d*(d\/((d**(-3\/13)\/d)\/d))\/d)\/((d**(-7)\/d)\/d)))**(2\/37) assuming d is positive.\nAnswer: d**(410\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16875.00016623 + 16875. Round a to six decimal places.\nAnswer: -0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 3*r**2 - 2*r + 4. Let k = 3 + -6. What is the units digit of z(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12*t**3 + 4*t**2 + 27*t - 39. Is y(-11) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - -8 - (-6 - (2 + (-2 - -19))). Let w = -3 - -5. Suppose -w*y + 2*o = -o - 406, 4*o - 592 = -3*y. Calculate the greatest common divisor of q and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 3*j**2 - 5*j + 5. Let v be f(4). Suppose -5*o + 35 + 0 = 3*a, 0 = -2*a + 10. Suppose -v = -r, 0 = -4*q - o*r + 4. Is 2\/9 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101223 (base 4) to base 8\nAnswer: -42153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let v(c) = 73473*c. Calculate p(v(m)).\nAnswer: -73473*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 22689*f**2\/4 + 1131999*f\/4 + 1109311\/4.\nAnswer: (f + 1)*(f + 49)*(f + 22639)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178*d*w**3 + 935*d*w - d - 106*g**3*w**2 + 75*g**3 + 2*w**3 wrt w.\nAnswer: 1068*d*w - 212*g**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1256, -2326, -3398, -4472, -5548, -6626, -7706?\n\"Answer: -z**2 - 1067*z - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -101510?\nAnswer: -101510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 34694 divided by -17347\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 7*d - 11. Let l be (-9 - -13)*(-3)\/2. Let u be c(l). Let g(o) = o**3 - 26*o. Let j be g(-5). Put 1, u, j in increasing order.\nAnswer: u, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.15 and -1063.\nAnswer: 2285.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1462248 and 1949664.\nAnswer: 5848992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1123a6 - -bd?\nAnswer: 112485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -4. Let p be (2\/(-8))\/(h\/36). Suppose -4*y = -4*o - 224, -2*y - 221 = -6*y + p*o. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 3*z + 10 - 14, 3*z - 36 = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224\/3 - -74. Let d = 0.07 + -0.37. What is the second smallest value in u, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-857*c**3 + 403*c**3 + 414*c**3)*(-5*c + 3*c - c)*(c - 3 + 3).\nAnswer: 120*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 - 115761*t - 2*t**4 + 231522*t - 115759*t + 1 - 31*t**3 to u*t**2 + f*t**4 + r*t + j + w*t**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 37784.\nAnswer: 7\/9446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31232, 248861, 839532, 1989755, 3886040?\n\"Answer: 31085*f**3 + 11*f**2 + f + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, 0.3, 0.167, -1?\nAnswer: 0.167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -7*p**5\/20 - 29*p**4\/4 - 8*p**3 - 25*p**2 - 14. Factor c(d).\nAnswer: -3*(d + 8)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -8, 5*h - 447538 = -12*g + 11*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, v: 2, r: 1, n: 1, z: 2}. Give prob of picking 1 r and 2 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-18)\/(441\/49)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 - 523\/4. Sort n, 0.4, -1\/4, 2.\nAnswer: -1\/4, n, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7 + 2 + 36*n + 4 - 113*n. Let a be d(-1). Suppose -2*t - l + 38 = 0, 0*t - l = 4*t - a. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 290 + -358. What is the common denominator of 57\/50 and 0 - c*(-3)\/540?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - c**2 + 3*c - 2. Suppose i - 4 = a + 4*i, -4*a - 4*i = 0. Let n be l(a). Suppose -5*y + 20 = -0*y. Solve -y*d = 4 + n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01899979 + 0.019. What is c rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -14. Let l = 14791 - 14790.9. Put l, d, 3, 1\/5 in ascending order.\nAnswer: l, 1\/5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 4, -16, 129 in decreasing order.\nAnswer: 129, 4, -16, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + h = k, -h + 8*k = -34*h + 3*k + 76 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 212.3 and -491476185391.\nAnswer: -491476185178.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583278?\nAnswer: 2, 3, 97213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287, 511, 733, 953, 1171?\nAnswer: 1387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - ba3?\nAnswer: -ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + h + 2. Let x be m(0). Let k(v) = 4 - v + x*v + 0*v. What is k(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 5*p**2 - 6*p + 6. Let w = -2 - 4. Let s be x(w). Suppose 0 = c - 8 - s. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1406*z + 722*z + 1047*z)*(16*z + 7*z**3 - 16*z).\nAnswer: 2541*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1, 922, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 13. Let j = -168 - -78. Let w = 95 + j. Let f be g(w). Solve 3*y + 5*n - 7 = 0, -6 + 2 = -f*n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + t**2 - 53. What is s(0)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42055496 by 1.\nAnswer: 42055496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/36 + (-86)\/(-18). Suppose q*o = 2*l - 2 + 8, 0 = -2*o + 2*l. Let i(x) = 2*x**3 - 4*x**2 + 2*x + 2. What are the prime factors of i(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -179*x**5\/60 - 5*x**4\/24 + 2651*x**3\/6 - 886*x**2. Find the first derivative of m(h) wrt h.\nAnswer: -358*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - o - 1. Let a(v) = 75 - 24 + 2*v - 30 - 22. Give -a(t) + b(t).\nAnswer: t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/215 and -29\/1075.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 520 = 56. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) -7 (c) 1 (d) -1\/800 (e) -474\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = w - 5*n, 5*w - 2*n - 44 = 3*w. Suppose -2*p - 4 + 0 = 0. Let c be p - -2 - (-108 + -2). Calculate the greatest common factor of w and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6 or 10\/127?\nAnswer: 10\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-20)*2*(70\/12)\/(-35)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*q + 78*q = -3*w + 33, 2*q - 7 = w. Let v(l) = q*l - l + 3*l + 1 - 19*l + 3*l. Suppose 2*o = -s + o + 6, 4*o = -3*s + 23. Calculate v(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from miimmakmmmimmmmmi.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 - 3)*(4 + 1 - 4)*(t + 2 - 2).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-2) + 11)*(-4)\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.2 + 19.8. Which is the nearest to 4? (a) -2\/11 (b) 0.1 (c) q (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -4*o + 34 - 16, 74*o - v - 297 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s = -87*s - 464 - 535 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 - 3*j**3 - 5*j**3)*(2 - 2 + 2*j).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 160 * 0.549749\nAnswer: 87.95984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o**3*p**2 - 1997*o**3 + 31*o**2*p**2 + 8*o**2*p wrt p.\nAnswer: -2*o**3*p + 62*o**2*p + 8*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 2*w + 11. Calculate the remainder when a(7) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*y - 34*y + 16*y + 2 + 6 - 11*y**5 wrt y?\nAnswer: -220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 3*a + 2 + 2, f - 4*f + 0*f + 59*a + 5 = 55*a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4*49\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/490*70\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 15) to base 6\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4\/7 (c) 840\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97430356487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 2418650\nAnswer: -2418650.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**3 - 21*v**2 - 28*v - 12. Let u be x(-15). Is u\/(-8) + ((-102)\/(-24) - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**3 - 211711*d**2 - 5779*d - 7.\nAnswer: 18*d - 423422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 20 = 4*z - 18, 3*z + 2*u = 31. Let g = z + -7. Solve -3 = -5*r + g*c, -2*c + 2 = -0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.7 - -5. Let h = -138 - -137.01. Let p = h - 0.01. Which is greater: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 2. Let f(r) = 27*r + 7. Calculate -f(n) - w(n).\nAnswer: -26*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4472739*h*s**2*u**3 + 2*h*s*u**3 + 70346*s + u**2 wrt s?\nAnswer: 8945478*h*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 3*j**2 + 7*j + 2. Determine s(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-2 - -2) - (-14 - -15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20360570 and -3.\nAnswer: 20360567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - ((0 - 2) + 4). Suppose -y - d = 6. Let s be (y\/77)\/(1\/(-2)). Which is smaller: 0.3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1119*n**2 + 6 - 565*n**2 - 553*n**2 - 6.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0395 rounded to three dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*-18*((-264)\/(-22))\/(-48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -313920*c - 48971517. Calculate m(-156).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 h when four letters picked without replacement from hbhbbbhubmbbmm?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13\/261 - 4\/261. Calculate the common denominator of c and 7\/4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4563411824.\nAnswer: 2, 14771, 19309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.024 and 0.067967?\nAnswer: 0.043967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -6. Suppose 0 = 5*m + 7 + 18, -25 = -3*p - m. Suppose w*c + p = 4*u, u + 5*c = -u - 1. Calculate the remainder when 3 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93632629?\nAnswer: 43, 2177503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1))**0*f\/(f*f*f**(2\/13)*f*f)*f*f**(-2)*f)**(-15\/8) assuming f is positive.\nAnswer: f**(615\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 2:38 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1542? (a) 2 (b) -5 (c) 0.5 (d) 0.1 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i*j**3 + 93*i*j - 3*i + 36*j**3 + j wrt j.\nAnswer: -18*i*j + 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 5, -5, -2, 40, 2 in descending order.\nAnswer: 40, 19, 5, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1092163 minus 3335601?\nAnswer: -4427764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -246*w**2. Let p(y) = -42*y - 54. Let h(k) = 19*k + 24. Let s(n) = 9*h(n) + 4*p(n). Determine z(s(j)).\nAnswer: -2214*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Let n(w) = 26*w**2 - 27631*w + 1. Give n(u(g)).\nAnswer: 26*g**2 + 27631*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2361, 4724, 7087, 9450?\n\"Answer: 2363*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44108313?\nAnswer: 3, 14702771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 15*t + 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 39 = -3*a - 0*a, 73 = 2*i - a. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11 - (-161 - 4)\/15. Let b(t) be the third derivative of 1\/24*t**4 + 1\/336*t**8 + 2*t**2 + 0 + 0*t**7 - 1\/60*t**6 + 0*t**3 + 0*t**5 + r*t. Factor b(h).\nAnswer: h*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - v - 1. Let a(w) = -3*w**2 - 13*w - 9. Let k(g) = -5*g**2 - 19*g - 14. Let t(j) = -7*a(j) + 5*k(j). What is 6*p(c) - t(c)?\nAnswer: -2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -5507?\nAnswer: -5517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 5\/64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 20*v**6 - 57*v**2 + 39. Find the second derivative of g(r) wrt r.\nAnswer: 2400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 15*s**2 + 8*s + 22. Let q be i(-2). Which is smaller: q or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 16*v. Solve 4*i = 5*w + 20, 5*w + i + 20 = -v*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -84, -15, 3, 5 in descending order.\nAnswer: 5, 3, -3, -6, -15, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 + -0.14. Let i = d + 4.08. Let z = i - 5. Does 0 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(-2 + 16\/(-20)). Let a = 18 + v. Suppose 10*l - 80 = 2*l. Solve a*m = -m + l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 3:31 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 3*n + 0 + 1 + 7*n. Let z(i) = i + 1. Determine -6*j(b) + 7*z(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t + 885 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6919402, 13838795, 20758188?\n\"Answer: 6919393*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1175*q - 1181*q - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d = -3*p + 15, -5*d - 111 + 105 = -57*p + 279 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 425*d**6 - 18*d**4 + 97*d**2 - 25*d?\nAnswer: 51000*d**3 - 432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from {z: 1, w: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j + 5. Suppose 2*c + 107 - 15 = 2*k, -2*k + j*c + 95 = 0. What is the greatest common divisor of k and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5284754 + 2?\nAnswer: -5284752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + (-47 + 53 + 2 + -6 - 15).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 7:49 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -14*h**2 + 1132*h + 1316. Determine a(82).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31169525.\nAnswer: 5, 1246781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 69938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.20941 rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*z**2 + 2*z**2 + 14*z**2 + (6 - 18 + 4)*(2*z**2 - 7*z**2 + 3*z**2).\nAnswer: 87*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 11*y**2 + 11*y - 29. Let m be o(12). Let x = 63 + m. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/6 - (12 + (-10582)\/222).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6509 smaller than 8033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -5, -4, -0.1, -0.3 in descending order.\nAnswer: -0.1, -0.3, -2\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -13. Let g(x) = -x**2 - 5*x + 3. Let y be g(-5). Calculate the highest common factor of y and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28897 - -42203. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2227, 2217, 2207, 2197, 2187?\n\"Answer: -10*y + 2237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20921, -167193, -564217, -1337369, -2612025, -4513561, -7167353, -10698777?\nAnswer: -15233209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2. Let c(y) = -25*y**2. Give x(c(w)).\nAnswer: 1250*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 15740 + 529 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (570\/171)\/(5\/((-45)\/14))?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 17011864295709.\nAnswer: -17011864295709.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 5) + (-2 - (-15 - -8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1520 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*t**2 - 3*t**2 - 8*t**2 + 6*t**3.\nAnswer: 6*t**3 + 22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15007 is divided by 1494.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-10))\/(6\/(-80)*(-8512)\/266)\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -3. Calculate the highest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6079*v = -5984*v - 1235. Suppose -5*l - 2*p = 2*p - 101, 3*l - 4*p - 67 = 0. What is the remainder when l is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(27) - sqrt(9)\/(sqrt(12)\/sqrt(4))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1055)\/(-1688) + 43\/8. What is the nearest to 0 in 48, -8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27067, -216463, -730529, -1731595, -3381991, -5844047, -9280093?\nAnswer: -13852459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/94 and (-3198)\/(-156) + (-2)\/(-4)*8.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22232 (base 7) to base 11.\nAnswer: 423a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32486*u**4 + 2*u**3 - 3278*u**2 - u + 125400102?\nAnswer: 389832*u**2 + 12*u - 6556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 3*z - 4. Let s be m(-4). Let j(p) be the third derivative of 1\/30*p**5 + s*p + 0 + 0*p**4 + 1\/6*p**3 - p**2. Determine j(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:46 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805186167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 66*u**2. Let f(l) be the first derivative of 10*l**2 - l + 6956. Determine v(f(y)).\nAnswer: 26400*y**2 - 2640*y + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {m: 1, n: 7, j: 5}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -0*z - 2*z - 32, 3*g + 13 = 5*z. Let w = -10 - g. Which is greater: w or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/13 - 28*p**2\/13 - 2*p\/13 + 28\/13 = 0. What is p?\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 12:35 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-29 - -49) + (-8 - 1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6 + 4 - 5*c + 5 - 10. Let w(t) = -9*t + 25*t - 10*t - 6. Suppose 0 = -2*q + 12 - 2. What is q*g(a) + 4*w(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 5*x + 1 + 3, 7*x - 11*x + 8 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0522111 - 972.\nAnswer: -972.0522111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 140 = -12*p + 4*g, 0 = 3*p - g + 9*g - 5*g + 78 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*200\/(-30)*8\/(32\/(-2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110 + 114. What is the nearest to 0 in 0.086, r, -5\/4?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 66 - (-3 + 4 - -1 - 4). What is the greatest common divisor of 238 and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 7*y**2 - 13*y - 3. Calculate q(-9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.1104698 hours?\nAnswer: 6.628188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004134 rounded to seven decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 3*b**2 - 6 - b + (-2*b + 2*b + 3*b)*(-b + 0*b + 2*b).\nAnswer: 6*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 12:41 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -188820148 divided by 47205037?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79.4 + -79. Suppose 0*a + 4*a - 4*u = 40, 4*a - u - 31 = 0. What is the third biggest value in y, a, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166.6 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7908795 times -4?\nAnswer: -31635180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1929*h**4*k + 2*h**3*k**2 - 143*h**2 - h*k + 11*k**2 wrt h?\nAnswer: -46296*h*k + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -220\/3 - -74. Let v = -1973\/4303 - 1\/331. What is the second biggest value in v, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 353156352 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -7.8. Which is the closest to 1? (a) 3 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 790893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 13*x - 133. Give z(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -19*r - 13. Determine t(-6).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -102528, -410467, -923698, -1642221, -2566036, -3695143, -5029542?\n\"Answer: -102646*a**2 - a + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 6*y**2 + 6*y - 8. Let d be r(-7). Let i be d - (-27)\/(-3)*1. Let w = i + 19. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 79\/9 + (-2)\/(-9). Suppose -6*l - 14790000 = -o*l. Round l to the nearest one hundred thousand.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.433642 milligrams to kilograms.\nAnswer: 0.000002433642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 146.62398 and 1?\nAnswer: 146.62398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5398 + 5387. Let q(m) = -5*m - 27. Give q(o).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 6. Let p be b(7). Let m = 25 + p. What is the highest common factor of m and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -3\/4*c**4 - 7 + 4\/5*c**5 - 1\/3*c**3 + 0*c**2 + 0*c. Let o(u) = 0. Calculate u.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 828 - 5784\/7. Suppose -3*y = -2*y + 5. What is the common denominator of w and 2\/y - (-106)\/20?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/((-28)\/(-1188)) + 1. Suppose t = -t + a. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 - (2 + -2 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*h**2 - 163*h**2 + 0*h**2 - 270*h**2.\nAnswer: -494*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2142 - 4285 - i**2 + 5*i + 2143.\nAnswer: -i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 5*s + 15. Give h(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*u + 25699, -2*u - 38516 = -3*j - 4*u. Suppose 8*w - j = -2354. Is 92 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2149, -7472, -16337, -28738, -44669, -64124?\nAnswer: -87097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 135361722.7 to the nearest 100000.\nAnswer: 135400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 18. Let w = -6 + 14. Suppose 3*y = w*y + 10. Which is the closest to n? (a) y (b) 0.3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.3 + -0.3?\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 247, 1, 5, 4, 1216 in descending order.\nAnswer: 1216, 247, 5, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 69 - 57a0?\nAnswer: -5736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437*l - 438*l + 3827 = -4*n, -5*l - 3*n = -19227. Is l a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177.9 + 178. Is j at least 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 368 - 186 + 21*g**2 - 181 - 2*g**3 to the form d*g**3 + f*g + n*g**2 + p and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 319, 480, 643?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 125*c**2 - 3*c - 139. Let v be d(-6). Calculate the greatest common divisor of v and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)*g*g**(-4))\/((g\/(g\/((g*g\/(g*g\/(g**(-2\/3)\/g)*g*g))\/g)))\/(g\/(g*g\/((g**(-9)*g)\/g*g)))) assuming g is positive.\nAnswer: g**(-148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 6*d. Let u be j(-6). Suppose u = r + r - 6. Let c(f) = 2*f + f + 2*f - r*f. Let t(n) = -n**2. What is c(t(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 + 0)\/5*19. Suppose 2*x - 3*w = 115, 0 = -5*x + w + 18 + 302. Let t = x - k. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -0.3, 9\/11?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + 4 - 5 - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 2*k - 9800 + 4899 + 4896. Suppose 4*a - 3*a = 5*p + 5, a + p + 7 = 0. Give g(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -3, 3 in ascending order.\nAnswer: -3, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -168059.747.\nAnswer: -168059.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13600 - 8700. What is n rounded to the nearest 100?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.13343 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -9 + (3 - 2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 448 and 1760?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1221 - -27576?\nAnswer: 26355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 235 + -221.3. Let x = b + -14. Put 5, x, -4 in ascending order.\nAnswer: -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/((-2805)\/(-22)))\/1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -0.2, -1, 2, -41.77, 265?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 373831*p**3 + 7*p**2 + 4350?\nAnswer: 2242986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -40*q**3 - q**2 + q. Let n = 32960 + -32962. Let g(o) = o**3 - o**2 + o. What is n*y(w) + 2*g(w)?\nAnswer: 82*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111001011000 + 1000?\nAnswer: 110111001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28102 and 0.5?\nAnswer: 14051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 5*h**2 - 2*h + 2. Suppose -4*t - 3*t - 4*z = -12*t + 1925, -5*z = -25. What is the remainder when t is divided by o(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12294 - 6535\nAnswer: -6534.87706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.88 + 0.18. Let q = 0.3 - c. What is the nearest to -1\/5 in q, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -40, -109, -198, -313, -460, -645, -874?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8650? (a) -1 (b) 1\/3 (c) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2 - 734*r + 2904 = 0.\nAnswer: 4, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103476.99 months to millennia.\nAnswer: 8.6230825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from yussyusyysy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 2*u = 0. Suppose u = -2*a - 4*m + 20, 5*a - m + 5 = -0*m. Suppose -5*d + 215 + 0 = a. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**5 - 760*h**4 - 20704*h**3 - 169448*h**2 - 366372*h + 557280 = 0.\nAnswer: -9, -8, 1, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (220 - 219 - (-113 + 1)) + (-15 - -17).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 + 5*h + 26. Let v be l(7). Let d = v - -28. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 58293.61ml?\nAnswer: 58.29361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102034 (base 5) to base 12.\nAnswer: 1b6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09017377951 minus 5?\nAnswer: -4.90982622049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42340218.\nAnswer: 2, 3, 7056703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1897056 = 5*o + 4*l + 586145, l - 1048742 = -4*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*y + 2*c, 3*y - 3*c - 32 = -c. Let m = 3 + y. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20781 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 696895211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 101022122200 (base 3) to base 15\nAnswer: 402c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-228) + 17028\/38. What is the greatest common divisor of h and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -431 (base 10) in base 5?\nAnswer: -3211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2. Let c(a) = 190456*a. Give c(f(w)).\nAnswer: 952280*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 8667.789529\nAnswer: -8667.989529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.916 - 1.016. What is the second biggest value in -3, -0.12, h?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, -6, -59, -144, -267, -434, -651, -924?\nAnswer: -1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1319 + -2938. Let s = 2342 + c. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1878589?\nAnswer: 71, 26459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 3*g - 1. Let r(y) = -17*y**2 - 27*y + 13. Let d(i) = 8*k(i) + r(i). What is d(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*-10*48\/(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 31, 13, 7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 9567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8494.6 + 8495. Which is the nearest to -2\/7? (a) d (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9799 = -170*x + 66*x + 2831 for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1958, 2, -8\/15, 5, -0.3, 0.4?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -8, -14, -126\/13, 1\/2.\nAnswer: -14, -126\/13, -8, -1\/6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/(-14) + (-769824)\/168399.\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 8*l - 1. Let j(b) = -7*b**2 - 36*b + 17. What is -4*d(q) + j(q)?\nAnswer: -3*q**2 - 4*q + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 z when four letters picked without replacement from {o: 11, z: 1, e: 5}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3))**33)**(-5\/12) assuming x is positive.\nAnswer: x**(165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -556, -961, -1366, -1771, -2176?\n\"Answer: -405*h - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6327 and 6558477.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/11, 0, -3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**3 - 7356510*r**2 = 0.\nAnswer: 0, 2452170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1))\/(-1) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 6*d + 12. Suppose -3*j + 2632 = j + d*g, -2*j - g = -1320. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196250 is divided by 9810.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 3528*c**3.\nAnswer: -3528*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-9) + (-6)\/(-9). Suppose 0 = 4*p + z - 445, 3*z + 554 = 5*p + w*z. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 equal to 477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 8 - 1. Suppose -c*o + 14 = -1. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewf when three letters picked without replacement from ewcwcffccwwwf.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -225.049 to zero dps.\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 2, q: 2, d: 4, z: 4}. Give prob of picking 2 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 2. Suppose a + n*f = 4*a - 1, -2*f = 2. What is the units digit of 10 + a\/((-2)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + w = 11, -2*t + 5*w = -0*t + 15. Suppose 3*b - 4*b - 75 = 0. Does 11 divide (t\/15)\/(1\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-345 - -392) + (-84 - 3)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (67 - (-32 + 47)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/672 and ((-2)\/2)\/((-1)\/(-5)) + (-170752)\/(-28014).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1817 or 2.80312?\nAnswer: -1817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 6)*(-1 - 2 + 5)*(-9*a**4 - 11*a**3 + 11*a**3)*(-5*a - 27 + 27).\nAnswer: -630*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6126)\/(-10)*1540\/77 + -13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1123 + -1116. Let z(i) = 2*i**2 - 11*i - 3. Determine z(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + i**2 + 4*i**2 + 0*i**2 - 14*i**2 + 2*i**2 + (-16 + 5*i + 16)*(0*i - i - i) + 2*i**2 - i**2 + 0*i**2 as j + t*i + a*i**2 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -31*b + 57. Let n be k(15). Let x = -398 - n. Solve -5*j - x = -25 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -37*z**3 + 4*z**2 - 3. Let f be q(-4). Suppose -339 = 11*v - f. What are the prime factors of v?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - o)*(-4*o + 4*o + o) + (-3 + 6 + 0)*(0*o**2 - 2*o**2 + 3*o**2).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94368 is divided by 5994.\nAnswer: 4458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432 = -126*c + 954 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(8\/(-12)*3\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 623*g - 618*g - 5*h = 0, 0 = -g - 3*h + 12. Solve 2*v - 1 = 9, g*w + v = 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -11 (b) -1\/3 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 77*r**2 - r. Calculate c(-1).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574*n = 585*n - 42625. What are the prime factors of n?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/4, -0.8, -0.05, -2, -3\/5?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5229431333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = y - 8, -a + 4*y - 11 = 2*a. Solve l - 5*i = 27, 2 = -i - a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -1 + 2)\/(-7). Let l(a) = a**3 - a**2 - 2*a + 5. Let u be l(-4). Let q = 339\/5 + u. What is the nearest to 2\/5 in -1\/4, q, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10 = 9*j + 2*a, -j - a = -5. Suppose 0 = -j*p + 10*p - 6740. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*l + 3 - 0, -5*l + 9 = 2*u. Let s(r) be the first derivative of 0*r - 1\/14*r**4 + 4\/21*r**l - 3 - 1\/7*r**2. Factor s(g).\nAnswer: -2*g*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 120437, 120435, 120433, 120431, 120429, 120427?\n\"Answer: -2*b + 120439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3771 is divided by 1219.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 683081447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 132 (c) -1\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 9. Let r be (-4)\/12 + x\/3. Solve -r*s + 0 - 1 = -5*l, -s - 3*l - 5 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 368118 and 48654?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y + 2. Let c be l(2). Let s be -81 + (4\/c - 2). Let p(b) = 9*b**3 + 135*b**2 + 4*b - 23. Let n be p(-15). Is n bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(2\/((-12)\/9)). Let i(b) = -u*b + b + 4*b + 1. Let k be i(2). What is the highest common divisor of 28 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27179 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 120 - 4?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -687\/478 - -154561\/103965. Calculate the common denominator of s and -105\/22.\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000222112 (base 3) to base 5.\nAnswer: 2240312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**4\/4 + 5*o**3\/3 + 3*o**2 + 7. Let x be p(-4). Which is smaller: x or -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -1 - 6\/3. Suppose -n + 4 = -3*t, s = 3*n + 3*t - 9 - 3. Suppose 4*j + 2*d = 1 + 15, n*j - 22 = -5*d. Solve -x = j*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7672911 days in nanoseconds?\nAnswer: 66293951040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -111. Suppose -485*x + p = -482*x. What is the remainder when x is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 46 + 8 + -12 + (4 - 4).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*1)\/(10\/(-5)). Let r = -2 - -4. Suppose -5*g = -r*g - 12. Sort t, 5, g in decreasing order.\nAnswer: 5, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 4. Let n be m(5). Let h(t) = 25*t - 2. Let a be h(1). Suppose -17 = -5*x + a. Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/27412 and 43\/1474018?\nAnswer: 32428396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84453072 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.6 - -3. Let x = -10 - -15. What is the closest to 0 in 0.1, v, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.51 - 28.51. Let v = t + 30.6. Let g = v - 3. Which is the nearest to -2\/3? (a) g (b) 1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/2 + 0 - (10 + -8). Let d be (0 + f)\/(6\/52). Solve 6*j = j - 20, 3*p + d = -5*j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/24 + 88\/48. Suppose p*f + 2*s - 496 = 0, 5*s - 533 + 37 = -2*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t*t\/(t\/(t*t\/(t\/t**(2\/3))*t)*t))*t*(t\/t**(2\/3)*t)\/t*t assuming t is positive.\nAnswer: t**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/36 + (-444)\/(-54). Suppose 0 = -7*v + h*v. Let l = 44\/295 - -3\/59. Which is the nearest to v? (a) l (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -4, -0.4, 3 in decreasing order.\nAnswer: 3, 3\/7, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 0. Let v be 0\/(-5 + (-3 - -7)). Let k(f) = -f**2 + f + 18. What is the smallest common multiple of k(v) and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4185.1075 to the nearest integer.\nAnswer: -4185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -200*s**3 + 50*s + 2 wrt s.\nAnswer: -1200*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-20)\/25))\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -14 - 5*a + 2*a + 4*a. Let o(h) be the first derivative of 2*h**2 + 2*h - 25. Let k be o(1). Calculate f(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 67588 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*l - 3*c**3*w + 9*c**2*l*w - 4*c*l*w - 3*c*l + c + l*w + 7*l wrt c?\nAnswer: 12*c*l - 18*c*w + 18*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 2 (b) -0.26 (c) 0.1 (d) -2\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42 and -0.37.\nAnswer: -15.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 905*t**2 - 2*t - 143. Let i be u(-19). What is i rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - (-5 - 0)) + 32. Calculate the lowest common multiple of 141 and (-77)\/(-35) - y\/(-35).\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6535937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1792598 decades?\nAnswer: 21.511176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/153 and (-4)\/(-9) + (-2324)\/(-630)?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = 6, 3*x + 40 = -2*m. What is the closest to 0 in 1\/2, 2\/3, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 192146105 - 4?\nAnswer: 192146101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w - 82 + 222. Calculate the lowest common multiple of w and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147070 is divided by 58.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 7 + -20 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6.878 - 6.469\nAnswer: 0.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10053053 (base 6) in base 3?\nAnswer: -112120211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 6*h**2 + h + 10. Let s be f(-6). Suppose 0 = -12*t + s*t + 536. Suppose -3*y = -t - 122. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -626 + 644.27. What is v rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -8. Let b = m - 3. Let w = -14.3 - -9.3. What is the closest to 1 in w, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 4*a**2 - 2*a + 3. Let p be g(4). Let s(z) = z**3 + 5*z**2 - 1. Let r be s(p). Is r - -2 - (2 + -8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*x + 570*x = 59*x - 42*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10213532 + 3117714.\nAnswer: -7095818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13*(5848 - ((-7 - -8) + 4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 19*z**2 - 19*z - 22. Let u be c(20). What is the lowest common multiple of 6\/((-24)\/18 - u) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -836*g + 61. Let z(n) = -836*n + 83. Give 4*x(q) - 3*z(q).\nAnswer: -836*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2263 times -16247?\nAnswer: -3676.6961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, z: 3, i: 2}. Give prob of picking 1 z and 1 q.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*x - 223, 198 = 3*g - x + 26. What is the greatest common factor of g and 665?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1379*q - 31721. Calculate y(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 80?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 + -108.6. Which is the biggest value? (a) 1\/6 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-342)\/32)\/((-33)\/132)*8. Calculate the highest common factor of y and 2223.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1357.\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*z**3 - 4*z + 4*z - 61*z**3.\nAnswer: 34*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015365873 rounded to five dps?\nAnswer: -0.01537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = i - 11, -5*h - 7 = 5*i - 2. Let j be 0\/4 + (-4)\/(-2). Let y be (1\/(j\/9))\/(-3). Which is the closest to 0? (a) 5 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 288.6840063 to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2016\/(-3920)*(-7)\/(-3)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from ooooiioiioioooqooi?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 + -63. Let t = -0.13 - -0.23. Let g be (-4)\/6*1\/2. Which is the fourth biggest value? (a) g (b) q (c) 5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 - 266*b**2 - 276*b + 136. What is the hundreds digit of u(-90)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5651 = d + 4440. Let y = -4552 - d. Let i = y + -2600. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*x**3 - 155*x**3 + 19*x**3 + 187*x**3.\nAnswer: 178*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**5 + 0*x**5 - x**5 + (-33*x**4 - 39*x**4 + 81*x**4)*(2*x - 3*x + 0*x).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*3\/2)\/(-5*(-63)\/(-4200))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4)*r)\/((r\/r**(-1))\/r))**(-13)\/((r*(r*r\/(r\/((r*r**8)\/r)*r))\/r)\/r*r*r**(2\/3))**(-19) assuming r is positive.\nAnswer: r**(650\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 2*t + 134. What is i(10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-213)\/15 + 10\/50\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**3 + 10895*r**2 + 1141045*r - 3521055 = 0?\nAnswer: -103, 3, 2279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -17671 bigger than -17671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15305 + 80.88605. What is w rounded to 0 dps?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**6\/240 + 19*s**5\/24 - 247*s**4\/24 + 50*s**3 - s**2 + 560*s. Let j(l) = 0. What is l?\nAnswer: -100, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(84)*1)\/sqrt(12))**2 - (sqrt(14)\/sqrt(2) + -3).\nAnswer: -sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.13 * 6520.\nAnswer: 7367.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/(-64))\/((-9)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-14 - 0) + 139 + -138.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/(3\/279). Let o(j) = -j**2 + 3*j - 3. Let h be o(-3). Let r = h + t. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 200*x**3 + 2*x**2 + x. Let r be h(-1). Let q = 597 + r. Suppose -5*l - 9*f + 5*f = -995, 0 = -2*l + f + q. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(180) + sqrt(180)*2)*5)\/sqrt(6))\/(sqrt(96) + -4*-1*sqrt(96) + sqrt(96) - sqrt(96))*4.\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*c + 1 = 0, 5*c + 70 = -4*n - 7. Let b = n - -29. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -2 - (2 + 2)) + 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29482 is divided by 9821.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 0.7. Let i = 674\/925 + -24\/37. Which is the smallest value? (a) -1 (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043397209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + s + 8. Let b = s + 11. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/61 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1970*j**2 + 1583*j + 51. Let q(k) = 657*k**2 + 527*k + 18. Let p(w) = -17*q(w) + 6*v(w). Find the second derivative of p(f) wrt f.\nAnswer: 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p**2 - 6*p + 5. Let v be h(-7). Let s = -34 - v. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -4*u + u. Suppose -3*y = 2*y - l - u, 5*l + 10 = -2*y. Suppose -5*m + 46 - 7 = 2*h, -y*h = -4*m - 15. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/5)\/((-13)\/(-130)) - 5. Solve 0 = 5*g + 2*k - u - 10, -3*g - 5*k = -23 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 41 - 14 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from {q: 4, g: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 1\/6*w**4 + 0*w - 5\/6*w**3 + w**2 + 0. Is 15 a factor of i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.32 and -13\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -3, 45\/56, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 406993, 407011, 407067, 407179, 407365, 407643?\nAnswer: 408031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*((d\/d**3)\/d)\/d)\/d*d*d**(-1\/8))\/(d**16)**23 assuming d is positive.\nAnswer: d**(-2961\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -178329 divided by -63\nAnswer: 59443\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/4 - 902*c**2 + 3272381*c\/4 - 16182005\/2 = 0. Calculate c.\nAnswer: 10, 1799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -7015 (b) 111 (c) 2 (d) 3 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 1, e: 1, r: 1, v: 1}. What is prob of sequence ve?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (1 - 11) - 3) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3986711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 95, 376, 845, 1502?\n\"Answer: 94*u**2 - u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(1\/4)\/((-1)\/4). Let z(l) be the first derivative of l**3\/3 - 2*l**2 - 3*l + 1. What is the remainder when z(a) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*y - 0 - 3, -y - 5*d + 34 = 0. Suppose y*f = -86 + 293. What is the remainder when 0 - (-2 + 3) - -69 is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen ninths of a week?\nAnswer: 21280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2619351 is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or 10?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 155.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399 - 395 - (-2 - 1 - -6 - 5) - 22.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(3) + -1).\nAnswer: -6*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 6*w + 6*w)*(0*w + 2*w + w)*((2 - 2 - 3)*(-1 + 8 + 0) + 6 - 4 + 1).\nAnswer: -216*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6. Let c(w) = w + 5. Give 6*c(o) - 5*q(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, v: 1, f: 1, o: 2}. Give prob of sequence fboo.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/1 + -4 + 1. Put 2, i, 0, 7 in descending order.\nAnswer: 7, 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -547760000 = 2*a + 7*q - 8*q, 547760000 = -2*a - 4*q. Round a to the nearest 1000000.\nAnswer: -274000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 2\/4137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 2*y. Let o be p(4). Suppose -3*s = 4*w + 26, -o + 28 = -4*w. Is 1\/(1\/(-56)*s) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(5)*-1*-3) - (sqrt(2)*-2*-3 + 0))*-4.\nAnswer: 68*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -376\/3084575?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0551 from -1.\nAnswer: -0.9449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*w - 3120 = 94*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26714, 23959, 19366, 12935, 4666?\n\"Answer: -919*u**2 + 2*u + 27631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223826621.\nAnswer: 14891, 15031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 606758?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1944*b - 7772*b + 1937*b + 1941*b + 4*b**2 + 1950*b.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13857 and 1341?\nAnswer: 41571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.5, -2, -0.4, 10 in increasing order.\nAnswer: -10.5, -2, -0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 7408 = 523. Let n be (r\/30)\/(1\/4). What is the units digit of (-16)\/(-104) - 5\/(65\/n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22341, -22309, -22265, -22203, -22117, -22001?\nAnswer: -21849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*z + 23*z - 51*z as u*z + h and give u.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z + 14. Give x(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -679 - -243. Let h = 443 + r. Calculate the least common multiple of h and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 2951133?\nAnswer: -2951132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 18) + (20 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/5 (b) 8\/9 (c) 2\/13 (d) 0.5 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i. Let n(c) = 16*c + 39*c - 10*c. Let j(l) = -4*n(l) + 35*y(l). Let h(q) = q**2. Give j(h(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 80646, 160569, 240490, 320409, 400326, 480241, 560154?\n\"Answer: -k**2 + 79926*k + 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-4) + 10\/20. Suppose k*u = -h - 12, 3 = -h - 0*u - 2*u. Solve 0 = h*y + 2*p + 3 + 2, -5*y - 8 = 3*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkxwwjxkjkktktkkkxt. What is prob of sequence kwtt?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-21)*(-3 + 0)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0790904 litres in millilitres?\nAnswer: 79.0904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxp when three letters picked without replacement from {x: 3, c: 1, h: 2, p: 1, o: 7, f: 4}?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -117, -353, -709, -1185, -1781, -2497, -3333?\n\"Answer: -60*k**2 - 56*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 2*c - 23 + 3, -3*c = -5*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-78)\/8)\/(213\/(-2840))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 divided by 4?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyuuuuuuuffhuhffuuy. Give prob of sequence fhuu.\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 618 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, 0.5, 0, -11 in decreasing order.\nAnswer: 132, 0.5, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*r**2 + 45*r**2 + 40*r**2 + 11*r**3.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-50)*(-30)\/42.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/5, 16, -92, -1, 4, 0.5, -0.11?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131.97 + 132. What is the fourth smallest value in t, 0.1, -2\/19, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 269178 and 86853.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 - 29 + 15*r**3 + 18*r**3 + 1 + 24*r**3 - 46*r**3.\nAnswer: 6*r**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s**2 - 674*s + 5262. What is l(8)?\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125.22 + -2.22. Let h = 123 - s. Put h, -0.24, 4 in increasing order.\nAnswer: -0.24, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014284 rounded to seven dps?\nAnswer: -0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2869 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -20. Suppose y*n - 124 = 26. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 289 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 7076\/3, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 30 = -30. Solve 5*g = 4*f, z*g = 2*f - g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010111001010 + -1?\nAnswer: 11010111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7859 - 340 = 428*d - 1469 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21338 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 11:08 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -545*d + 3616. What is i(11)?\nAnswer: -2379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -18. Let n(d) = 2*d**2 - 23*d + 13. Let u be n(11). Solve -4*o = u - b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*(3 - 1))\/(-21). Let m be 9\/21 - (6 - (-296)\/(-28)). Let v be 2\/((-4)\/m)*32\/(-280). Which is the second biggest value? (a) i (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -467\/6 - -78. What is the third smallest value in 0.2, d, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 1 + 1)*(-2*a + 0*a + 11*a)*((-a - 4 + 4)*(-a - a + 0*a) - 5*a**2 + 18 - 18).\nAnswer: 27*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.06, 39676, 5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 27 = 3*h, 5*h = -r - 10 + 27. Let k(j) = -6*j**2 + 7*j - r*j - 3 + 4*j + 4. Give k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*k**2*m**4 - 139*k**2*m + 3*k*m**2 + 44*m**6 wrt m.\nAnswer: -456*k**2*m + 5280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y. Let f(c) be the third derivative of 7\/6*c**3 + 0*c + 1\/3*c**4 + y - 1\/15*c**5 - 1\/120*c**6 + c**2. Determine f(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18742.98 and 434.\nAnswer: 19176.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((2 + sqrt(1125))*5)**2 + sqrt(1125))*2.\nAnswer: -225800 - 12120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -14. What is the remainder when (-4)\/(246\/(-120) - -2) is divided by u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2839 + 90817\/32. Calculate the common denominator of l and -71\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110110 - -1130340?\nAnswer: 1020230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1900 and 220.\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 54*u + 4*u**2 + 9*u**2.\nAnswer: 14*u**2 - 54*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2330*o**3*v**2 + 44*o**3 - 9636*o**2 - 2188*o*v**4 + o + 9 wrt v?\nAnswer: -4660*o**3*v - 8752*o*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 689 divide 440055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -10. Let t = -32 - -32.091. Let g = t + 0.109. Sort -5, g, f.\nAnswer: -5, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0449979 millimeters in centimeters?\nAnswer: 0.00449979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (354 + 54 - 126)*(2*t**4 - 4*t**2 + 4*t**2)*(1 - 3 + 4)*(4 + 9 - 2) to f*t**3 + k*t**2 + s*t**4 + g + i*t and give s.\nAnswer: 12408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -68731097283.848 - -0.3?\nAnswer: -68731097283.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 0 - -2) + 4. Suppose 0*z + u*z = 5*y - 19, -2*z + 14 = 2*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -348 + 313. Let l = u - -39. Solve l*t + 2 - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55916 + 99527. Does 76 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 800 = 35*c. What is the highest common factor of c and 320?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 6*l + 4. Let c be m(-6). Suppose 0 + 8 = c*p. Calculate the remainder when 14 is divided by -12*(-2)\/6*p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39318884 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289542, 1158244, 2606082, 4633056, 7239166, 10424412, 14188794?\nAnswer: 18532312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6681127um to nanometers.\nAnswer: 668.1127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 129128859.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -47 - (13 - (-30 - -14))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Suppose -4*z - 10 = -5*y + 1, -4*y + 2*z = -10. Let w be (-15900001)\/y - x\/(-6). Round w to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f - 65*f - 5*f - 19*f.\nAnswer: -75*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*a - 4. Let q be 4\/(-16) + (50\/a - 0). Suppose 0 = 2*h - q, 3*i - 7*i = -h - 4549. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -7 - 4) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 10:31 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 3. Let y be d(-4). Let u = 0.16 - -0.14. Which is the closest to 2? (a) 1\/5 (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80 - -11. Let p = j + 71. Find the third derivative of -14*d**p - 2*d**4 + 2*d**4 - 16*d**6 + 21*d**2 wrt d.\nAnswer: -1920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 1. Let m = 12.1 + -4.1. Let a = m - d. Sort -3, a, -0.4 in descending order.\nAnswer: a, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36*20\/240)\/(((-2)\/4)\/(-1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1319*i + 395*i - 4231 + 40267 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 52*x**2 - 3*x - 62. Is w(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 - 4*z + 7. Let d(w) = w**2 + 2*w - 3. Suppose 13 - 4 = k. Let y = -571 - -575. Determine k*d(x) + y*t(x).\nAnswer: -3*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -13*a - 84. Let v be j(-8). Suppose 3*x - 42 = -18. Let d be -5*(x\/(-10) - 0). Solve -d*r - v = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7 = 2. Suppose 2*s - 14 = -q*y, 2*y + 2*s - 8 = -0*y. Suppose -y*b = b + m - 29, 4*b - 42 = -2*m. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2811726177?\nAnswer: 3, 13, 83, 109, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -92, -96, -100, -104?\n\"Answer: -4*y - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5426179 kilograms in milligrams?\nAnswer: 542617.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*b + 5*n, 6*n + 9 = 5*b + 3*n. Suppose -4*y + 3*c + 159 = -b*y, 0 = 3*y + c - 129. Calculate the highest common divisor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3871 + 3873. Put 3, 182, 1, a in decreasing order.\nAnswer: 182, 3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/3 - 406580*l**3\/3 - 13775065916*l**2 + 330621098080*l\/3 - 661255206976\/3.\nAnswer: -(l - 4)**2*(l + 203294)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**9\/o)\/o))\/o)\/o**(-2\/37) assuming o is positive.\nAnswer: o**(-257\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(9)\/sqrt(27))*-5.\nAnswer: -5*sqrt(3)\/3 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 4044.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(280) + sqrt(280) + sqrt(280)*-2)*6)\/((sqrt(10) - (sqrt(10) - 1*sqrt(10)))*-4))\/((sqrt(128)*-4)\/(sqrt(96)\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5*w + 25 = 0, 0*y = -y + 5*w - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/800*15\/9.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - (-95 + 91)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(((-6150)\/12)\/(-25))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97\/(-1)*(3 + -4) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5780702*u + 62597414?\nAnswer: -5780702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeeemeuemeemxmrarrre.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 15192\nAnswer: -5\/7596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -95*o + 87*o. Which is greater: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/4 and -44\/2589.\nAnswer: 10356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53320*n**5 + 2*n**2 - 10*n + 43 wrt n.\nAnswer: -3199200*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - (-49 - -14) - 38?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.8\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27594\/5256*(-8)\/3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, w: 1, d: 3, x: 6}. What is prob of picking 2 d?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*v - 6682 + 6716. Suppose 5*p + 15 = -x, -3*x - p = 3*p + 1. Let c be 99\/x - 1\/(-5). Solve v*m - c = 7*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -6366726\nAnswer: -1\/2122242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2016, 2028, 2040?\nAnswer: 2052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 147 (base 16) to base 14\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 6*i**2 + 3*i - 4. Let c be z(-5). Let q = -4 + c. Suppose 3*h - 144 = -5*m, 0 = -q*h + 7*h - 15. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-5)*(-9 + -1). Suppose -18 = -2*d - 4*i, 3*d + t - 31 = 2*i. Solve 0 = 5*k + d - 22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**3 + l**2 - 7*l + 1. Let x be g(-2). Let i be 6 - (6 - 4 - x). What is the biggest value in 4\/9, -5, i, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.096*-10466.\nAnswer: -1004.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 342 = 3*a - 111, 154 = a - 4*j. Is a equal to 150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-11)\/c)\/(c**(1\/2)*c*c)*(c\/(c**(-1\/3)*c))**7 assuming c is positive.\nAnswer: c**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Let p = -0.2 + 0.3. Suppose 0 = -2*y + 4*y + 8. Let v = -532.8 - -533. Sort p, v, y in increasing order.\nAnswer: y, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20299989?\nAnswer: 3, 17, 398039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -382*f**3 + 6*f**2 - 2230*f - 3. Let n(t) = 768*t**3 - 10*t**2 + 4461*t + 5. Let w(u) = 5*b(u) + 3*n(u). What is the second derivative of w(z) wrt z?\nAnswer: 2364*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + f + 17. Let d be 0\/(24\/4 + -3). Determine a(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 135\/2*z**2 + 0*z**5 + 45 + 59\/5*z**6 + 0*z**4 + 2*z + 0*z**3. Differentiate n(g) with respect to g.\nAnswer: 1416*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5059 - -5065) + (1 - (-1 - -12)) + -15?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513876 and 1598?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = -5*m + 11, 3*m - 4*r - 17 = 0. Is ((-14)\/m)\/(14\/(-21)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 + g**5 - 7*g**3 + 3*g**4 + 40*g**2 + 5 - 55*g**2 + 18*g.\nAnswer: g*(g - 2)*(g - 1)*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1 + 4*q - 3 - 5*q. Let h = -156 - -150. Let v be g(h). Solve v*a = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -2*f**4\/3 - 108*f. Let z(c) = 6*c**2. Give z(k(w)).\nAnswer: 384*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f - f)*((6 + 4 + 5)*(0*f + 3*f - 2*f) - f + 0*f + 0*f).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 203 - 244420?\nAnswer: -244215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Convert -626660 (base 7) to base 10.\nAnswer: -108038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*((z\/z**(-2\/17))\/z)\/z)\/(z**(-2\/25)*z**(2\/3)))**48 assuming z is positive.\nAnswer: z**(-29968\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -0.173.\nAnswer: 12.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*z - 527 + 6251. Let h = 321 + z. Solve 2 - 3 = h*p + 2*x, -4*p + 22 = -2*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 547496 + 17560504 = 0. What is d rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 5*p + 10, 10 = 3*s - 34*p + 30*p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26 - 2*(-2)\/4. Let y = v - 15. Let h be 2 + (-3)\/y*0. Solve 0 = -n + h*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a. Let n(z) = -3*z - 4. Let c(j) = 5*j + 7. Suppose -16*s = -19*s - 21. Let v(g) = s*n(g) - 4*c(g). What is q(v(k))?\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3565*3.\nAnswer: 10695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -50*f**2 - 3. Let o(c) = 50*c**2 + 4. Give -3*o(s) - 4*u(s).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9057?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 49 = -5*r. Suppose 97 = 4*k + 3*x, 2*x - 3*x - 76 = -3*k. What is the greatest common factor of k and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3522.32 to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, i: 2, f: 7, z: 5}. Give prob of sequence zz.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 - -3.67. Let x = i + 0.03. Which is bigger: x or -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - (sqrt(39) + sqrt(273)\/(sqrt(14)\/sqrt(2))))\/sqrt(3).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 6*q**2 - 7*q - 9. Let j be o(-5). Suppose -j + 2 = s. Solve -b + 2*i - 7 = 0, -6*b = -b + 2*i - s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 11*w - 2. Let m(i) = -11*i + 1. Let g = 933 - 931. Calculate g*n(r) + 3*m(r).\nAnswer: -11*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -3551?\nAnswer: -3554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 1\/6, 201?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 111, 165, 219, 273?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -30*m + 33*m + 7, -38 = 4*n - 2*m. Is n*(-8)\/(-288) - (-42329)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 892 = 208. Calculate the greatest common factor of 156 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, q: 1, y: 4}. What is prob of picking 2 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*k = 9, 2*d = 3*k + k + 2. Solve -d*x + 14*x = 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -21) + 5 + -4 + -16 - -21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/8 - 5*a\/8 - 3\/4.\nAnswer: (a - 6)*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2\/4 - 325*t\/2 + 645\/4.\nAnswer: 5*(t - 129)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/sqrt(4) - ((1 + sqrt(98) + sqrt(98) - sqrt(98)) + sqrt(2))**2 - (-2 + ((2*-2*sqrt(2))**2 - sqrt(128))))*-6*3.\nAnswer: 54*sqrt(2) + 2862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 + 5*w**2 + 5*w + 5. Suppose 0 = -3*b + 54 - 48. Let a(s) = s**2 + s + 1. Determine b*x(l) - 10*a(l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (784\/(-385) - -2 - 2\/(-5))*11891\/94.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Calculate -2 - (14 + -21 + (-3 - 2)) - -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/134082 and -55\/2279394.\nAnswer: 2279394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 4*l - 48, 4 = 158*l - 161*l + y + 27 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 751405.5 milliseconds?\nAnswer: 751.4055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.409348 * 3\nAnswer: 1.228044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -5*z - 11, 54*z = 50*z + 6*a - 20 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2334 divided by 6?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(8*8\/192))\/(75\/(-2)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**2 + v. Let i = -19 + 18. Let u be s(i). Let m = 15 - u. What is the smallest common multiple of m and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1007200 = 27559*n - 17487*n for n.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 - 7)*(-169*h + 98*h - 37*h) to the form v + m*h and give m.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 252812*z + 52541628. What is a(208)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 3 - 26)*(0*a - a + 2*a).\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 41*f**3 - 10*f**2 + 118*f + 76. What is the thousands digit of j(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g + 3*o = 77, -4*g + 3*o + 59 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12042814681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -242.9 - -243. Let m be 1 + (-1 - -2) - 1. What is the closest to l in m, 2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 6, -d - 2*b + 0*b - 4 = 0. Suppose 0 = -d*w + 5*w - 10. Let k = -64 + 66. Solve w*o - 2 = k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*r = 5*p - 4, -3*r + 3 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 273 = 469. Let r = -107 - c. What is the closest to r in -2, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 9 + 6 + 3.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/4 in 0.26, 1\/6, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234 - 3.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erffrefeeeeffeeerfre. Give prob of picking 2 r and 1 e.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4632120?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 1. Let s(k) = 6*k + 5. Let g(a) = -a**3 + 8*a**2 - 8*a + 9. Let o be g(7). Suppose -6*w + 4 = -o*w. What is w*s(z) + 4*c(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -33141 (base 6) to base 13\nAnswer: -2128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -10. Let a = n - 13. Solve -a*b + 2*i - 10 = -2*b, -3*b - i + 5 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.3, -34, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 3*d + 3*d)*(7 - 2 + 0)*(5 + 1 + 1) + (-5 + 3 + 1)*(d + 4*d - 4*d) + 0 + 0 - 2*d in the form x + g*d and give g.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3 = -o + b, -3*o = 5*b - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -6*f + 4*f. Suppose 0*y = 4*y - f*y. Find the second derivative of 9*v**3 + 48 - 23*v - 48 + y*v**3 wrt v.\nAnswer: 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 391*x**2 + 3*x**5 + 99 + 2*x - 394*x**2 - 5*x**5 + 2*x**2 - 2*x**2 + x**5 + (-2*x**3 - 4*x**2 + 4*x**2)*(4 + x**2 - 4) - 5*x**5 - 3*x**5 + 6*x**5.\nAnswer: -5*x**5 - 3*x**2 + 2*x + 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Let z be o(3). Find the second derivative of -16 + z - 60*c**3 - 4*c + 8 wrt c.\nAnswer: -360*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1)\/(((-18)\/3)\/(-3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -5. Let c(v) = -v. Let b be c(o). Let y(s) = -2*s - 2 + s + 2*s + s**2 - 4*s. Determine y(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/18)\/(230\/759))\/((-12)\/30).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100100011000011110 (base 2) to base 4\nAnswer: -210120132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(24)\/(sqrt(96)\/sqrt(8)))**2 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41*j - 624 + 624)*(223 + 21 - 62 - j) to the form b*j**2 + k*j + r and give b.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 646.409 grams?\nAnswer: 0.000646409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m + m**2 - 4*m + (-2*m + 4*m + m)*(-m - m + m) + (-2 + 2 + 2)*(3*m**2 + 2*m**2 - 8*m**2).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 78685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oio when three letters picked without replacement from yyyyoyyyyiyyoy?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 > 28684\/1801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - r**2 + (52*r + 78*r - 153*r)*(-r + r + 2*r))*(-2*r + 6*r - r).\nAnswer: -141*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 - ((-6 - -15) + 62).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**6))**(18\/11)\/(i**(2\/19)\/(i\/(i\/(i\/(i\/(i\/(i*i**(-2\/17)*i)*i)))))) assuming i is positive.\nAnswer: i**(29114\/3553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29 - 9754591312.\nAnswer: -9754591312.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62712767.\nAnswer: 13, 73, 66083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1436192 + 15821176\/11. Solve 2\/11*n**3 - 372\/11*n**2 + u*n - 476656\/11 = 0 for n.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -28*q + 92 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.86 and 389.56862?\nAnswer: 388.70862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 6.1. Let b = -3.1 - i. Let y = -1.3 - -1. What is the closest to 0.2 in b, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4430173 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2*y + 1032 = 28*y. Calculate the remainder when y is divided by (-8)\/(-3)*(-54)\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/72 - (-1)\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0, -4 in descending order.\nAnswer: 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859 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: Expand (y + 2*y**3 - y)*(5*y**2 - 5*y**2 + y**2) + 4*y**5 - y**5 - y**5 + (106*y - 26*y + 6*y)*(93*y - 43*y**4 - 93*y).\nAnswer: -3694*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z - 470 = 0. Suppose -3 = -3*c - 9, -c = 4*v - z. Calculate the lowest common multiple of v*(6\/3)\/4 and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16927351977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-h**5 - 4*h**5 + 3*h**5) - h**5 + 3*h**5 - 4*h**5 + 0*h**5 + 5*h**5 + 0*h**5.\nAnswer: -h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u - 12. Calculate q(10).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*t + 30*t + 2 - 3*t**5 + (-7*t**3 + 4*t**3 - t**3)*(-2*t**2 + 3*t**2 + 0*t**2).\nAnswer: -7*t**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.103754499 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 equal to -24\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 - 132\/(-11)) + 16. Solve f*j = -5*z + 16*j - 1, 5*j - 5 = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228404624 to the power of 1\/3, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -14*v**2 - 10*v + 60. Let d(s) = -5*s**2 - 3*s + 19. Give -16*d(j) + 5*n(j).\nAnswer: 10*j**2 - 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.050092 - -0.0446. Round g to four decimal places.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*d - 12. Suppose 2*g + 8*o = 4*o + 102, 5*g - d*o = 227. Suppose -16 - g = -3*f. Solve 7*a - 3*a + 4*c = -4, f = -a + 4*c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*u - 901 - 740 = 0, 5*u = -5*k + 2050. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-558)\/93*-202*(-27)\/(-324)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 8*i**2 + 11*i - 6. Let z be w(7). What is the greatest common factor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6699\/10 <= -670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2647.9 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 4. Suppose 2*m - 14 = -4*a, 0*a + 2*m = 4*a - 10. What is the remainder when w is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111101101 (base 2) in base 10?\nAnswer: -2029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 6*h - 2195 = -2173, s + 11*h = -37 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 r when three letters picked without replacement from hrrrrnfyh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 168a85 (base 13) in base 10?\nAnswer: 562034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-715))\/((-7)\/(-70))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1399313 or -0.1?\nAnswer: -1399313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, i: 3, k: 6, z: 4}. What is prob of picking 3 i and 1 c?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h - h - 125 + h**2 + 6*h + 193 + 0*h. Determine w(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 17*o**2 - 1223*o - 68. Let h be z(72). Which is the fourth smallest value? (a) 5 (b) -4\/7 (c) h (d) -4\/13 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -413\/9 - -46. Which is the second smallest value? (a) i (b) -2 (c) -5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -897820 divided by 140.\nAnswer: -6413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9311 + -3695. What is the greatest common factor of l and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 + (-2)\/(10 + 2)*-3. Let l = 1.6 - 0.9. Let m = 5.3 + l. Which is the nearest to m? (a) -2 (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**4\/7 + 2*j**3\/7 - 18*j**2\/7 - 18*j\/7 = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42.6813 + -14.67701.\nAnswer: 28.00429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -2) + -1 - (-5 - -12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 79968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a8381749 + 3?\nAnswer: 6a8381751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 178 + 178 + 21*d**2 in the form s*d + q + u*d**2 and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhl when three letters picked without replacement from {h: 1, l: 1, m: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, r: 1, v: 3, w: 1, k: 3, t: 3}. What is prob of sequence wth?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n - 61. Let f(g) = 12*g + 112. Let y(r) = -6*f(r) - 11*h(r). Suppose 3 = -3*m + 9. Suppose -5*p = 3*k - 11, 2*k = -m*p + p - 2. Determine y(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-4)*((-2)\/(-5))\/(-2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 19 - 5. Solve -b + i*t = 4*t, 4*t = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 114.8 and -1.2.\nAnswer: -137.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 12*u**2 - 65*u + 51. What is h(-6)?\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233\/1533 - 2\/219. Let k(g) = g**3 + 4*g**2 - 6*g - 4. Let h be k(-5). Which is the closest to h? (a) z (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v + 9*v - 112 = -n, 3*n + 11 - 45 = -16*v + 58 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 + o - 2. Let g(x) = x**2. Suppose -11*r + 2588 - 2632 = 0. Give r*g(v) - n(v).\nAnswer: v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*z + 4*v, 4*z - v = 10. Factor 53*p**z + 245*p + 9*p**4 - 65*p**3 - 4*p**4 + 141*p**2 - 19*p**2.\nAnswer: 5*p*(p - 7)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.78 - -0.22. Which is the nearest to u? (a) -3 (b) -1\/6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1861087 and -0.21288258.\nAnswer: -1861087.21288258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1\/3))**27\/((c\/(c*c*(c*c**(2\/13))\/c)*c*c)\/(c\/(c\/((((c\/c**3)\/c)\/c*c)\/c)))))**(-9\/11))**(5\/2) assuming c is positive.\nAnswer: c**(-18225\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -4945342\nAnswer: -24726710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/30*(-24)\/(-15). Let h = s - 171\/200. Let u be 2 - 1*(-1 - -2). Is u smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z + 219 = 996. Calculate the remainder when 669 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 1256630?\nAnswer: 12566300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1528 (base 10) to base 12.\nAnswer: -a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6081 - 167*b**3 + 6081 + (-3 - 1 + 5)*(-2*b**3 + 2*b**3 + b**3).\nAnswer: -166*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/11)\/j)\/j)\/j*j\/j**(-9)*(j\/(j*(j*(j**(2\/5)*j)\/j)\/j*j)*j)**6 assuming j is positive.\nAnswer: j**(263\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u = -8. Let n(f) = -4*f - 4. Let c(w) = w + 1. Suppose -3*i + 6 = -4*l, 4*l - 2 = -i + l. Let y(d) = i*n(d) + 9*c(d). Calculate y(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from pfnbbqy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 1, x: 1}. What is prob of picking 1 b and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*a*p**2*v + 133745*a*p**2 + 32*a*p*v - a*v - 13*a + 850*v - 1 wrt p?\nAnswer: 24*a*p*v + 267490*a*p + 32*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l**2 + 0*l**2 + 217*l**4 + 6 - 106*l**4 - l**3 - 110*l**4 to f*l**2 + s*l**3 + p*l**4 + x*l + c and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -977 <= 1.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/16)\/(40\/16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30558 - 51068. Let k = -20491.0026 - t. Let x = 19 - k. Round x to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.687 years to months.\nAnswer: 956.244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9c + 8?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -17*m. Let f(v) = -26*v. Let u be 8\/12 - (-17)\/(-3). Let s(d) = u*f(d) + 8*n(d). Let z(l) = -2*l. Give z(s(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -565 + 311 + 4887*u**2 + 157 + 242 wrt u?\nAnswer: 9774*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:13 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*l**2 + 30*l**2 + 26*l**2)*(-3*l + 0*l + 2*l) - 3 + 3 + 4*l**3 + (-2*l - l**3 + 2*l)*(-10 - 14 + 9).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**2 - 9*w + 27. Let l(m) = -3*m**2 - 4*m + 12. Let d(u) = 9*l(u) - 4*r(u). Let v(j) be the third derivative of j**5\/10 + j**2. Calculate d(v(a)).\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**5\/300 + n**4\/24 + 15*n**2 - n. Suppose p(q) = 0. What is q?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**5\/7 - 81*c**4\/7 + 555*c**3\/7 + 249*c**2\/7 - 4446*c\/7 - 4056\/7 = 0.\nAnswer: -2, -1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 5*q + 9. Is 150 - 3 - q*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*d*g**4 - 2*a**2*g - 12*a*d*k + 942*d*g**4*k + 3*d*g**2*k - 8*d*g**2 + d*g + k wrt g?\nAnswer: -24*a**2*d*g + 22608*d*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92720 and 83509.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1251650 to the nearest 10000.\nAnswer: 1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 928981*l**3 - 2398241*l**2 wrt l?\nAnswer: 5573886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 - -13) + -19 + 69\/6*268 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - (-52 - (-78 - 1)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 3, 26\/3, -103\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 73 (b) 176 (c) -3\/5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62943889 to the power of 1\/3, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - -2166)*(-1106)\/(-4). Suppose 0*z - 5*x = -3*z - o, -399997 = 2*z + 3*x. What is z rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqc when three letters picked without replacement from cccqcccc.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h. Suppose 8*d - 12*d + 16 = 0. Let q(v) = v + d*v - 4*v - 9*v. Determine t(q(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 + 5*v**2 + 7 + 2*v**3 - 4*v**2 as d + a*v + k*v**2 + r*v**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 59*k - 154489 - 3361. Is k a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4123884 and 47992?\nAnswer: 57734376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -37*o**5\/20 + 10*o**4\/3 - 24*o. What is the third derivative of j(u) wrt u?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14 - -25)\/((-1)\/5). Let p = u + 57. Solve 0 = -p*n + 4*n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 8*v + 34 = 0, -3*t = -557*v + 556*v + 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2 + 41*l - 11. Calculate r(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 + 3917*d\/4 + 29265\/2.\nAnswer: (d + 15)*(d + 3902)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 2*d. Let j be p(3). Suppose 0 = -s - j, -5*q + 4*s + 245 = -s. Find y such that 34*y - 4 + 13*y + 23*y - 22*y**2 - q + 2*y**3 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.53785 plus 0.1218?\nAnswer: -35.41605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 4:58 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000460162 rounded to 6 dps?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i**3 + 0*i)*(3727 - 1574 - 1110 + 2*i).\nAnswer: 2*i**4 + 1043*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/461007, 4 in increasing order.\nAnswer: -2\/461007, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 6 = -2*s - r, -5*s + 2 = -4*r. Suppose -g - 2*l = -7 - 11, 130 = 5*g + s*l. What is the greatest common factor of g and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111222020 (base 3) to base 6.\nAnswer: 115053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1724 - -1722. Let h(t) = 17*t + 8. Let k(b) = 4*b + 2. Calculate z*h(w) + 9*k(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 30, 0, -5254, 10 in descending order.\nAnswer: 30, 10, 0, -12, -5254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k**3 + k**2 - 1. Let x be o(-1). Let j be (-4)\/x - 81\/(-28). Let h = -15\/7 + j. Is -0.1 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*p - 0*p - 107, -3*z - 78 = 3*p. Let h be (-2)\/6 - 90\/p. Let q be 51599997\/(-2) - h\/2. What is q rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 9:19 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9*-13.67.\nAnswer: 25.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 2) + 2 - 1. Calculate the common denominator of (321\/28)\/(6\/u) and 109\/(-4) + (1 - -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*t + 72. Let k = t - -89. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.6 - -1.4. Let i = -3 - -3. Which is the third smallest value? (a) i (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -51*m**3 - 17*m**2 - 17*m - 17. Let u(l) = 17*l**3 + 6*l**2 + 6*l + 6. Calculate 6*h(j) + 17*u(j).\nAnswer: -17*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -530756, -1061526, -1592294, -2123060, -2653824, -3184586, -3715346?\nAnswer: -4246104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 7. Let p = -20 + 22. Suppose 12 = 4*j + 2*h - 4*h, 0 = -2*j - p*h + 12. Suppose 0 = j*g - g + 15. Calculate l(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 1\/8*u**5 - 11*u - 18 - 5\/12*u**3 + 0*u**2 - 1\/24*u**6 + 5\/48*u**4. Let z(v) be the first derivative of a(v). Factor z(b).\nAnswer: -5*b*(b - 2)*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixteenths of a minute?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 811582 = 62*u - 8233660. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p - 7650. Let y be c(0). Let l be (8800\/6)\/(60\/y). What is l rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6 = 2*k. Let y be (2159\/(-102) - -17)\/(1 + 4). What is the closest to k in -1\/2, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 8) to base 16\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*h - 101 + 189 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97109907?\nAnswer: 3, 131, 247099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21562 + 23?\nAnswer: -21539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 25296400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51087 - -1?\nAnswer: 51088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/369 and -44\/189.\nAnswer: 7749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2731*b**2 - 3826*b**2 - 1580*b**2 - 2328*b**2.\nAnswer: -10465*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 11:56 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63*r**4 - 49438*r**3 - 3*r - 437992242?\nAnswer: 252*r**3 - 148314*r**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13720480 and 0.2?\nAnswer: 13720479.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222 + -219. Solve v*a + 7 + 8 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -127. Let z be (-2)\/(c\/637 - (-2)\/13). Let h be (0 + 40)*z\/(-26). What is the highest common divisor of h and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 4 + 5*i**2 + i - i. Let o be h(5). Is (-66)\/4*o\/3 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2635, 11306, 25871, 46330, 72683?\nAnswer: 104930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + a + 0)*(-1 + 4 - 4)*(-a + 4*a + 6*a).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-1*(2 - -3)). Let a = 11.1 - 10.4. Let m = a - 3.7. What is the second smallest value in m, l, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*d + 123*d**2 + 7*d - 22*d to z + s*d**2 + x*d and give s.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5594824?\nAnswer: 2, 179, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 12784 = -37929. Let z = -1271 - q. Round z to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - 7*l + 70. Let d be s(-3). Suppose 185 = 4*a + 25. Calculate the greatest common factor of d and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - o - 1. Let c(u) = u**2 + 25*u + 66. Let y be c(-22). Let s be h(y). List the prime factors of (-8)\/48 + 1442\/12 + s.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 258 and 3999.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m. Let v be 2\/(2 + -2 + 1). Let n(j) = -j - 2. Let k(i) = -i + 4 - 4 - 3. Let y(d) = v*k(d) - 3*n(d). What is y(s(g))?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l**2 + 6*l - 6*l - 17*l**2 + 19162*l**3.\nAnswer: 19162*l**3 - 35*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 5704 = -2*g. Is (g - 0)*(4\/(-2) - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -6*(sqrt(1100) + 1*sqrt(1100)))*-6 + -3*(sqrt(1100) + sqrt(1100)*-3 + sqrt(1100) + -2 + sqrt(1100)) + 3)**2.\nAnswer: -21600*sqrt(11) + 5702625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = 1. Let a(n) = -22*n**3 - n**2. Let r be a(-1). Is (r\/2)\/(f\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -49.09\nAnswer: 19.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from btataj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -433?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -64?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -6 - 1 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -91015676 divided by -1082\nAnswer: 84118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*i + 5*q = -247*i - 15, 5*i - 25 = 3*q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -1. Suppose 0 = 4*a - 2*a - i. Suppose -h = 2*u - 10, -h + a*u - 13 + 3 = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b - 130. Let z be y(24). Suppose 0*l - 2*l + z = 2*p, 3 = p. Solve 2*k + l*o = -4, -k + 3*o - 2*o + 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (30 + 6)) + (10 - 2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v + 34*v - 8 + 37*v. Suppose -2*r + x = -7, 4*r + 2*x + 6 - 16 = 0. Does 19 divide l(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15cb (base 13) to base 9\nAnswer: 4355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7216 and 2529472?\nAnswer: 103708352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24846356?\nAnswer: 2, 97, 64037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, v: 1, a: 1, x: 1, j: 1}. Give prob of sequence juax.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(304)*-2*1 + 5) - (sqrt(171)\/(1*sqrt(9)*1) - ((sqrt(1900) + 1 + sqrt(19))**2 - (sqrt(19) - (1 + sqrt(304)))**2)).\nAnswer: -33*sqrt(19) + 2158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-553*m - 10250 + 10250)*(-13*m + 13*m - 32*m) to the form y + c*m**2 + j*m and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c**3 + 5*c**2 - 5*c - 5. Let m(f) = -13*f**3 + f**2 - f - 1. Let k(o) = -6*o**3. Let y(q) = 5*k(q) - 2*m(q). Calculate -2*i(l) - 5*y(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.991937 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.01 - 1.42. Let r = n - -2.51. Round r to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 54 = -3*o + 7*p, -5*p = 4*o - 72. Let c = o + -11. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167700 is divided by 2021.\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 307839 - 733359. Is -1 - (-2)\/3 - s\/81 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -2)*21\/(-6). Let h(l) = l**2. Let m(d) = 18*d**2 + 4*d + 2. Let v(n) = 12*h(n) - m(n). Let b be v(s). Round b to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/4)*p)\/p)**(-35)*(p\/p**4)\/p**(-2\/15))\/((p\/(p*(p\/p**0)\/p)*p*p)**(-22)\/(p**0)**2) assuming p is positive.\nAnswer: p**(2993\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r**3 - 5*r**2 + 8*r - 10. Let a(g) = -g**3 - g**2 + g - 1. Give 6*a(o) - u(o).\nAnswer: 2*o**3 - o**2 - 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b*w**4 - 2*b*w - 9*w**4 + 2*w**3 + 7*w**2 wrt w.\nAnswer: 96*b*w - 216*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1796 + -1190. Let g(z) = -606 + d + z**2. Let h(w) = w. What is h(g(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/15513 and 7\/6271.\nAnswer: 97282023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180\/(-105)*630\/(-4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 326152337 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.6. Let n = 2.84 + -3.8. Let h = n + -0.04. What is the second biggest value in 1, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 13174*r**2 + 38*r + 75. Let m(x) = 2*x**2. Calculate b(m(d)).\nAnswer: 52696*d**4 + 76*d**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, c: 10, z: 2, u: 1}. Give prob of sequence czzc.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*n - 533. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {m: 11, l: 5}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210112 to the power of 1\/2, to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -11*l**2 - 13*l + 23. What is the remainder when j(-6) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/5*o**3 - 2\/5*o**5 + 2*o**4 + 0*o + 8\/5*o**2 + 0.\nAnswer: -2*o**2*(o - 2)**2*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 2 - -9) + (62 - 123) + 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -36328.191.\nAnswer: -36331.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11397, 10136, 8875, 7614, 6353, 5092?\n\"Answer: -1261*b + 12658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 407? (a) 5 (b) -1\/2 (c) -4 (d) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoj when three letters picked without replacement from jojx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 172*v - 2104. Calculate the remainder when o(13) is divided by 152.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7920 and 5760?\nAnswer: 63360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4802*i - 542636. Determine u(-113).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 284 = 3*i + 3*v, -2*v + 254 = -3*i. Is (-2)\/11 + (-3272)\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 2, r: 5, g: 1, s: 3, a: 1}. What is prob of picking 1 a and 1 i?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = -13*i + 393. Solve 7 = 2*c + 2*c + w, 4*c + i = 3*w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 9:34 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3557.258832 rounded to the nearest integer?\nAnswer: -3557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 16*l + 5. Let o(a) = 3*a + 1. Suppose -44 = 3*r - 2*p - 15, 0 = -5*r + 3*p - 48. Let c(q) = r*o(q) + 2*y(q). Give c(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -21*n + 5. Let a = -46 + 25. Let p = -24 - a. What is the units digit of o(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 605 and 22840290.\nAnswer: 251243190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 4*k - 17 = 14*i, 0 = -29*i + 26*i - 2*k + 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 152*h\/9.\nAnswer: -2*h*(h - 76)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.4 and -4924?\nAnswer: -46285.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - p = 30, 4*v = -3*p + 28 - 4. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + u + 6 = 0, 13 = -3*i - 177*u + 179*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t - 33*t**3 + 3739135*t**2 - 3739146*t**2 - 8 + 4 in the form o*t + g + p*t**2 + s*t**3 and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 86811441 to the nearest one hundred thousand.\nAnswer: 86800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 0. Let h(z) be the third derivative of 0*z**3 + 0*z - 3*z**2 + 1\/60*z**5 - 1\/6*z**4 + 6. Let k(d) = d**2 - 5*d. What is f*k(w) + 3*h(w)?\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242 divided by 554995.\nAnswer: 242\/554995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26819*i**2 + 26820*i**2 - 53637*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 2377 + 2373. Let m(p) be the first derivative of 0*p**3 - 3\/2*p**4 + 3\/2*p**w + 11 + 0*p**5 + 0*p + 1\/2*p**6. Factor m(z).\nAnswer: 3*z*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/22 - 860\/(-473). Solve 3*f - 2*a = 5, 3*f + m*a - 15 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 6*s + 6. Calculate u(11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6790 and 41409494?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8419.\nAnswer: 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 4. Let w be m(7). Let u be 2795\/20 + (-1)\/(-4). Let p be (-2)\/(-4)*(u - 0). What is the greatest common divisor of w and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 128*a - 20 = 123*a, 0 = -a - 2*a + 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 587*o**3*x**3 + 4*o**2*x + 3*x**3 - 20*x wrt o?\nAnswer: 3522*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 62*n - 315. Determine v(-35).\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2715 (b) 3 (c) -0.3 (d) 0.3 (e) 0 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -215\/24026?\nAnswer: -215\/24026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2438761?\nAnswer: 13, 187597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - n. Let q(b) = -4*b**2 - 41*b - 2. Calculate -q(t) + v(t).\nAnswer: 3*t**2 + 40*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-269 + 111*r + 269)*(3 - 4 + 2 + 14*r**3).\nAnswer: 1554*r**4 + 111*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(3 + (1*sqrt(2736) - sqrt(2736))))**2 + -4)*5*6.\nAnswer: 9600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.6425 rounded to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1394500 rounded to the nearest 10000?\nAnswer: -1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = 3. Suppose 5*v = -4*a + 28, -3*v - 4*a = -0*a - 20. Let d be 2*(74\/v + -2). What is the highest common divisor of d and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**2 - 1408*g. Let o(n) = -669*n. Let i(a) = -430*a. Let j(z) = -14*i(z) + 9*o(z). Determine j(u(w)).\nAnswer: 5*w**2 + 1408*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1004 - 993. What is the biggest value in g, 1, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 6 = -14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 245144513 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 91 + 79. Let n(k) be the second derivative of 1\/2*k**m + 0*k**2 + 1\/4*k**4 + 1\/20*k**5 + 0 + 3*k. Calculate n(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 303.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -651 - -291. Let g = -288 - b. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12878969.\nAnswer: 12878969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7881, 15760, 23639, 31518, 39397, 47276?\n\"Answer: 7879*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1046005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-162*d + 16*d - 64*d - 67*d)*(-2 + 3 + 2) to m*d + o and give m.\nAnswer: -831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 10*n**2 - 9*n + 2. Let v be t(9). Solve v*r - 5*h - 1 = 17, 5*r - 24 = 2*h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4, 3*y + y = -j. Let z(p) = 7*p**3 + 6*p**2 + 3*p + 11. Let g(f) = f**3 - 1. Let k(t) = y*z(t) + 6*g(t). What is the tens digit of k(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 255\/198 + 2\/(-4). Let t = -131\/462 - g. Let j = -32331\/16 + 2020. What is the common denominator of j and t?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h - 72 = -4*d, -4*h - d - 194 = -360 + 188 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-18))\/((-92)\/345*25). Let j(h) be the third derivative of 0*h**4 + 0 - v*h**6 + 0*h + 6*h**2 + 1\/60*h**5 + 0*h**3. Factor j(m).\nAnswer: -m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x - 10. Let k = 38 + -25. Let d be l(k). Let f = d + -6. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 6. Let y be 6\/9 - 32\/t. Solve 2*i = y*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12554 or 12553?\nAnswer: 12553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**1)**20*a**(-6\/11)*a**(-6)*a*((a**(-4))**22)**(-2\/83) assuming a is positive.\nAnswer: a**(-3127\/913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129936 - -190954. What is the ten thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3462 - -103?\nAnswer: -3357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 0, 0 = 5*v - 4*t - 7 - 13. Let -16*z - 28*z**v - 8*z**2 - 20*z**3 + 12*z**4 - 24*z**2 + 12*z**4 = 0. Calculate z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-646)\/357 + 2)*18\/(3\/(-6)*-8)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 - 60. Suppose 5*o - d + 3 = 38, o - 5*d = g. Is 12 a factor of (-458)\/o*(-4 + 1) - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 1995*t + 1996*t + 25 = 0, 3*t + 97 = 8*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-35)*18\/(-9)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m + 2*m)*(-5*m**3 + 48 - 48)*(-3*m - 4*m + 29*m).\nAnswer: -330*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*x = -23201, -33*x = 2*k - 30*x - 15480. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 113, 118, 125, 134, 145, 158, 173?\n\"Answer: d**2 + 2*d + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73041812, 73041807, 73041790, 73041755, 73041696?\nAnswer: 73041607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7118332 decades?\nAnswer: 0.007118332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -338, -329, -308, -269, -206, -113, 16?\n\"Answer: b**3 + 2*b - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/60 - o**4\/6 - 5*o**3\/3 - 121*o**2. Let t be y(-2). Solve t*v - 5*g = -8, 0 = -2*v + 5*v + 5*g - 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**5 + 12*o**3 + 10*o**3 - 15*o**4 + o**2 - 6*o**2. Let i(y) = 5*y**5 - 15*y**4 + 21*y**3 - 5*y**2. Let l(s) = 7*i(s) - 6*k(s). Solve l(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeee when four letters picked without replacement from euuteuttoteuejuuuuo?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1761970 to the nearest 10000.\nAnswer: -1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 339797 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 5:53 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j + 16. Let n be ((-35)\/14)\/(2\/j). Differentiate -n - 2*h**3 - 11*h + 11*h with respect to h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + (1\/(-27)*-1109)\/((-1044)\/27) and -97\/42.\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112102476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2906, 0.1, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o - 2*o)*(2 + 2 - 2)*(-3*o + 5*o - o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**2 + 2*x + 16. Let c(q) = 4*q**2 - q - 15. Let i(b) = 6*c(b) + 5*l(b). Let t(o) = -o**2 + 5*o - 10. Let n(h) = 3*i(h) - 4*t(h). Give n(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 600?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -793\/29 greater than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 210211 (base 3) to base 2\nAnswer: 1001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 53*n + 8. Let j = 89 + -86. What is the tens digit of o(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - c - 10, -2*l = 5*c - 1393. Let n = l - 680. Solve 0*i = 3*i + 9, r = n*i + 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.16, 0.3, 446\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-836523)\/(-123) + (9 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 244\/(-16))*(4 - 0). Let j = 110 - t. Is 31 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24247*p**2*w**3 + 137*p*w**3 - 28*p*w wrt p?\nAnswer: 48494*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 4:27 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.869112 litres in millilitres?\nAnswer: 5869.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**3\/6 + 7*d**2 - d. Let j be (0\/(-41))\/(2*(1 - 0)). What is o(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 + 0*i + i - 102)*(0*i - i**2 + 0*i).\nAnswer: -i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 1, -3*r + x + 7 + 22 = 0. Suppose -p = -r*u + 5*u - 64, 4*p - 5*u - 241 = 0. What is the remainder when p is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 122, 121, 118?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 2*h - 2. Let r(d) = -d**2 + 6*d - 10. Let t be r(3). Let j be x(t). Solve -f + 5 = -6*f + 2*n, 5*f + j*n + 25 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**4\/6 + d**3\/2 - 3*d**2\/2 + 271*d. Calculate b(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -332393.77 - -329744. Round v to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243083776?\nAnswer: 2, 13, 59, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1911047923?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -661 + -80.\nAnswer: -741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*p**2 - 429*p**3 - 421*p**3 + 846*p**3 + 3*p as l*p**2 + r*p**3 + z*p + o and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.61477 - 0.11477. What is the nearest to -1 in k, 0.8, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 - 97. Sort b, -2, -2\/9 in descending order.\nAnswer: -2\/9, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15690552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, f: 4, e: 2}. Give prob of sequence lfe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 1) + (2 - (-4 + 9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**9*j*j)**(-2\/9)\/((j*j**7*j*j*j)\/(j**(-1\/25)\/j*j)) assuming j is positive.\nAnswer: j**(-3134\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7693 + -4615799\/600. Let p(w) be the third derivative of 1\/100*w**5 + 1\/30*w**3 + 0*w + 0 + 1\/40*w**4 + f*w**6 + w**2. Solve p(g) = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/93 and -32\/33.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrk when three letters picked without replacement from {k: 1, x: 9, r: 9}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1107 and 410?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50\/39 + 8\/13. Which is smaller: t or 26?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/374 and 105\/5955644.\nAnswer: 65512084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 9*r - 11. Let k be y(8). Let d = k + 3. Suppose d = -2*q + 8. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 62, 1\/3, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 80*-1\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4673\/4368 - 2\/273. What is the common denominator of d and 27\/82?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 0*c - 5*c + 9*c.\nAnswer: -3*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 2*j**2 - 77071*j + 385417. What is q(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**4*s + 704*o**4 - 7615*o**3 + 48101*o**2*s - 124*o*s wrt o.\nAnswer: -24*o*s + 16896*o - 45690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/((-80)\/(-5)))\/(1\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 46 - 23)*(-37*d + 488 - 488).\nAnswer: -74*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 61.\nAnswer: -43\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 0)*(5 + -4 - -3). Let d(v) = -73*v - 22. Let g be d(l). Calculate the greatest common factor of g and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95370556?\nAnswer: 2, 23842639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 832*h + 373*h + 1287*h + 283*h.\nAnswer: 2775*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f + 11. Let g(l) = 8*l - 29*l + 18*l - 6. What is 11*g(v) + 6*k(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (-3 + -1*sqrt(11))**2 + 5.\nAnswer: 7*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = 0, l - 3 + 0 = -h. Suppose -h*o = -8, -10*o + 7*o - 18 = 4*f. Which is smaller: 6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*a = -2*a, 0 = -2*l + 4*a - 8. What is the second derivative of -2*y**2 + 0*y + 4*y**l - 2*y wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2254966962 to the nearest integer?\nAnswer: 47486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1842 + 158 + 2099 - 2*m - 13159 as x + o*m and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3589 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559574397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.11 - -0.11. Suppose -a = 3*a + 12. What is the second biggest value in t, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 2, b: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1409, -6, 4, -2, -5, 0.\nAnswer: -6, -5, -2, 0, 4, 1409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16 - (-16 + 15)) + -80. Put 22, 3, i in ascending order.\nAnswer: i, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5769 + -1.92.\nAnswer: -1.3431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 - 3123311?\nAnswer: -3123400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010011110110111011111010 - -10?\nAnswer: 11010011110110111011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6820\/207 > 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1074980618?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -22408139 and -22408142 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4896*k**4 + 6*k**2 + 11524.\nAnswer: -19584*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6164*c. Let k(g) = -9*g**2 + 23*g. What is v(k(n))?\nAnswer: -55476*n**2 + 141772*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220550 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/20 + (-26)\/(-8). Let o be (-3)\/f*1*4. Let g = -1 - o. Solve 0 = 2*y + g + 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v**2 - 2*v - 1. Let r(o) = 15*o**2 - o. Let q(s) = -75*s**2 + 7*s + 1. Let m(n) = -2*q(n) - 11*r(n). Calculate 3*m(i) - 5*t(i).\nAnswer: -5*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 587, 581, 575?\n\"Answer: -6*y + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10346)\/63 + (-2)\/(-9). Let r = -40346\/15 + 2687. What is the common denominator of r and 3 + (h\/(-14))\/(-2)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9246 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 5. Let i be k(-12). Suppose p + 3 = l, 2*p - i = -l - p. Solve 0 = -5*w - o + 13, -l*w = -3*o + 2*o - 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/147, -4, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 - 349305*c\/2 - 349306.\nAnswer: (c - 698612)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*w + 0 + (4 + 2*w - 4)*(2 - 3 - 1))*(21321 - 21321 + 152*w).\nAnswer: -304*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/2 and 17\/91.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 56*s**3 - 26*s**2 + 38*s - 91. What is the units digit of k(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/35)\/(k\/k**(-1\/4))*k**(-12)*k\/(k**(1\/11)\/k*k))**13 assuming k is positive.\nAnswer: k**(-245921\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 35. Let o be (10 + 2)\/(j\/6). Let f = o + 31. Is -3 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 4. Let v be t(4). Is -1\/1058 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/(-14)*(-1 - 0 - 1). Suppose 225 - 41 = 3*a + 4*n, 219 = x*a - 3*n. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 82 = -1110. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -5 + 37 + -33.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**4 - 72951*m**3 + 5128*m - 3 wrt m?\nAnswer: -12*m**2 - 437706*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7424 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2303 (base 10) in base 14?\nAnswer: -ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1\/3 (c) 4 (d) 19 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 17386422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 45 = 4*d. Let z = d + 12. What is the third derivative of 3*f**6 - z*f**2 - f**6 - 4*f**6 - 3*f**2 wrt f?\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 8*m - 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffff. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*b = -7*n - 18, -10 = n - 2*b. Let p be (-20)\/(-8)*n\/(-5). Differentiate -9*l**p + 155*l + 9 - 155*l with respect to l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**5\/20 + 7*i**4\/12 - i**3\/6 + 7*i**2\/2 + 39*i. Suppose -13 + 6 = j. Determine q(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*f - 5*v, 3*v = -f + 2*f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x = 35. Let f be x\/42 + 2\/(-12). Suppose f = 5*h - 9 - 221. Is 23 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2.3. Let t be -4*1 + (-3)\/(-3). Which is the second smallest value? (a) 3 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 9*p + 12. Let s = 57 - 54. Let x be t(s). Let o = 7 + x. Solve a + 2*h + 0 = 6, o = 5*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 65.279987?\nAnswer: -61.279987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 686675858126104 and 3.\nAnswer: 686675858126107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -9*f**3 - 2*f**2 + 2*f. Give n(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -0. Let b = 12\/5 - w. Let j be 2\/(-5) + 1 + -1. Sort j, 4, b in decreasing order.\nAnswer: 4, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 25*(-3)\/(-27))*-9 - -17?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*t + 49. What is the tens digit of 4*(-8)\/224 - 1576\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 4. Let z(b) = 3*b - 7. Let x be z(5). Let m be y(x). Suppose 4*j + m = 540. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - q**2 + q + 3. Suppose -4*t + 3*t = 0. Let u be f(t). Put u, 2, -1 in descending order.\nAnswer: u, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4 + 14920*s**3 - 74688*s**2 + 44856*s + 134460 = 0. What is s?\nAnswer: -3735, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53043, -424125, -1431341, -3392757, -6626439, -11450453, -18182865, -27141741?\nAnswer: -38645147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**4\/12 + 3*h**3\/2 + 8*h**2 + 8*h. Let f be a(10). Calculate the greatest common divisor of 18 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 - -2.1. Put 0, 0.5, m in ascending order.\nAnswer: m, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 16*n + 21. Let t(i) = 33*i + 41. Let l(j) = -5*g(j) + 3*t(j). Differentiate l(r) wrt r.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*r + 42, -2*v + 3*r = -0*r - 12. Let n = 47 - 13. Suppose -o + v = -n. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryer when four letters picked without replacement from {y: 1, h: 4, r: 2, e: 3, k: 4}.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - -3*(-4)\/(-12). Let y(h) = -h + 117*h**3 - 2 - 57*h**3 - 59*h**3 - 5*h**2. Determine y(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2769 - -2769.5. Which is the third smallest value? (a) f (b) 2\/7 (c) 1.1 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from nnuununnnnuun.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*n**5 - 49*n - 6 wrt n?\nAnswer: 1520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -11. Let d(f) = 1 + f**2 + 4*f + 2 + 0. Is d(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 15*m + 0*m as w + u*m and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.9 - 10. Let b = 2.3419 + -0.1349. Let j = b + d. What is j rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -508\/9 + 3268\/63. Which is bigger: -4 or b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*(-2)\/16 - 2292\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 0*a - a**4 - 22*a**4 + 42*a**4 - 16*a**4 + (-a**2 - a**2 + 4*a**2)*(a**2 - 5*a + 5*a) - 2*a**4 + a**4 + 0*a**4.\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 433.3 - 470. What is j rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 13*u - 15*u - 415297, 0 = 3*z + 4*u + 415289. Let j = z + 67335. Round j to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4929 + 4932. Let l(d) be the first derivative of -5\/3*d**3 - 15\/2*d**2 + q + 20*d. Factor l(j).\nAnswer: -5*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -170, -324, -478, -632?\n\"Answer: -154*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 15) to base 4.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 5*w**2 - w + 1. Let m be j(4). Let g = 62 + -62. Solve 5*b + g*b - q + m = 0, -2*q = -3*b - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 482 divide 11121668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7400)\/(-925))\/((-1)\/(-3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 44894.\nAnswer: 8978.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - a**2 + a - 1. Let i(l) = -12*l**3 - 10*l**2 + 10*l - 10. Let f = 23 - 0. Suppose -5*r + 33 + f = -3*t, 0 = r + 5*t. What is r*u(h) - i(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = -4*n - 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 11. Let f be l(6). Let c(h) = -3*h**2 - 3*h + 1. Let w(k) = k**2 - k - 1. Let y(n) = f*w(n) + c(n). Solve y(j) = 0.\nAnswer: -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3. Let f be (t + 0 - -1)\/((-7)\/791). Let x = f + 118. Solve 0*z - 20 = -x*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-14 + (-236 - -13))*1\/3)\/(-1)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 244.043 to the nearest integer.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i + 324 = 604 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1004 (b) -3\/7 (c) -0.1 (d) -0.2 (e) -0.4 (f) -88\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 14 = 5*d - 114, 20 = -4*a. Suppose -2*o = -0*o - d. What is the remainder when (6\/(-2))\/((-2)\/10) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 7. Let r be j(-4). Let u = 1 + r. Let f(p) = -p. Let n(k) = 2*k - 1. Let t = 11 - 17. Determine t*f(x) + u*n(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 4*m**2 + 3*m + 4. Let r be o(-3). Let q(x) = 1 - 9*x - 3 + r*x. Let g(w) = -w - 1. What is 4*g(y) - q(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyzzyykyvykavvyzkk. What is prob of sequence ka?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5670455ng?\nAnswer: 0.0000000005670455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrzx when four letters picked without replacement from xxxqxrxzzxxxxx?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 plus 4028?\nAnswer: 3890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 10*m**2 + 5. Let l be p(10). Differentiate 2*h**4 + l*h**4 - 4 - 5*h**4 wrt h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 28 = -12. Let s(h) be the first derivative of 51*h**4\/2 + h**3 - 5*h**2\/2 - 8*h + 1. Let b be s(z). Round b to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*l - 27 + 22 + 8*l - 49*l - 43*l.\nAnswer: -249*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 12:57 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3590 + 19*l**3 + 3590.\nAnswer: 19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/((-176)\/(-24) - 7). Let r(d) be the second derivative of d**4\/6 - 14*d**3\/3 + d**2 - d. Let p be r(v). What is p rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (403\/312*-4)\/((-4)\/24)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20253295 by -503.\nAnswer: 40265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**2 + 7*v - 11. Let s(x) = -14*x**2 - 14*x + 23. Let w(d) = 5*g(d) + 2*s(d). Is w(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -2 - 155)*56\/24. What is the hundreds digit of (-18 - -15)\/(6\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 135059\nAnswer: 3\/135059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*-1*(0 - -1). Suppose 25 = -5*x, h*m - 5 + 18 = -5*x. Solve -m*a = 0, -2*u - 3*u - 2*a - 20 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8185 - 18481. Let s = 12266 + a. What is s rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17487*k**2 - 23059*k wrt k?\nAnswer: 34974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*o - 6 = -1, m = o + 10. Let h be m\/14*-4 + 3. What is the nearest to 10 in h, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/36156960 and -99\/5486.\nAnswer: 470040480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16294.2 + 16294. Let q = 44 - 39.3. Let y = 5 - q. What is the third smallest value in 0.2, a, y, -5\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273667456.\nAnswer: 2, 41, 52147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 7*b**2 + 8. Let d be k(-6). Let u = -26 - d. Solve -u = -i - 0*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 164435.8 decades?\nAnswer: 16443.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126444707\/324 + 390261. Find the common denominator of -7\/12 and o.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-13)*z**(3\/4)\/z)\/((z*z**(-4))\/z*z*z**(-1\/4)\/z) assuming z is positive.\nAnswer: z**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/5 - 955514*z\/5 + 228251751049\/5 = 0.\nAnswer: 477757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 36452445?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-2 + 1 - 3)) + 9 + -13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**2 + 2*h**2)*(-185*h**2 + 3 + 173*h**2 - 1).\nAnswer: -24*h**4 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 323*c - 865135 + 865135. Let d(r) = -43*r. Determine -38*d(l) - 5*m(l).\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 7*q**2 + 6*q + 5. Let x = -212 - -216. Suppose x*d + 542 = 574. Determine f(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7088 to the nearest 100.\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253 is divided by 2181.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1248285*i**3*z**3 + i**2*z**3 - 11365*i**2*z - 36*i*z**3 + z wrt i?\nAnswer: -7489710*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 + 394 = 4*x. What is the remainder when 1403 is divided by x?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 212490\/5509 - 2\/7*-12?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 3 = 4*d + 3*l, 0 = 5*l + 10. Let i = 1 - d. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.58 - -39.32. Let p = 56 - u. Is 1 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**2 - g. Let s be ((-7)\/21)\/((-1)\/3). Let t be k(s). Which is the closest to 0.3? (a) t (b) -4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**3 + 5*b**2 + 20*b + 8. Let t(x) = -12*x**3 - 9*x**2 - 36*x - 16. Let v(o) = -4*t(o) - 7*y(o). What is v(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -19. Let q(l) = l**3 + 7*l**2 + l - 1. Calculate q(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1281 by -427.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 15352*y**3 - 15354*y**3 - 7*y + 1 to r + l*y**3 + p*y**2 + j*y and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 1159 - 725 = 0. Is j\/(-4) + 10\/(-20) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 50 = -5*r, -17*r - 100 = -2*n + 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 0 - 2)\/(-2). Suppose -5*z = -0*z. Let n(d) = d**2 - d + z*d + 2 + 2*d. What is n(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*m - 3*m. Let c be m\/(-54) + 8\/3. Suppose c*g + 732 - 2691 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 8:52 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -130*y**3 + 2*y. Let c(m) = 131*m**3 - 2*m. Determine 5*c(n) + 6*o(n).\nAnswer: -125*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - -0.4. Let h = t - 0.5. Let l = h + -1. Which is the second biggest value? (a) -1\/3 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 13, -6\/11, -10?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1246854\/(-84820))\/(3\/(-10))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4338 and 103\/10.\nAnswer: 21690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khkkqokqk. What is prob of sequence hkoq?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 - (-693)\/27. Solve -a + k = 2*n + 3*n, a - 17 = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(143) + (sqrt(143) - 5*sqrt(143)*2))\/(1*sqrt(275)).\nAnswer: -32*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 532 and 112.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6430 + 3600*b - 6442 + 12874 as z + s*b and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335176, -335195, -335214, -335233?\nAnswer: -335252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-18)*1\/(-3)*-3)\/((-224)\/48)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a0 + -2?\nAnswer: -3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 293*d + 463*d - 576*d**2 - 754*d + (2*d + 0*d + 0*d)*(-4*d + 3*d + 0*d) to h*d + p + c*d**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*f + 26, 2*l - 3 - 7 = f. Let s(k) = l + k - 3 - 2*k - k. Let q(i) = -3*i + 7. Calculate 6*q(b) - 11*s(b).\nAnswer: 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -12*w**2 + 43*w**2 + 10*w + w**3 - 13*w**2 - 18. Let u be (-19)\/((-1)\/(-1)) + (5 - 3). What are the prime factors of g(u)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1163 - -0.1163. Let c = -129 - -57. Put c, 1\/4, 5, d in decreasing order.\nAnswer: 5, 1\/4, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**7\/14 - 7*q**6\/10 - 6*q**5\/5 + 4*q**4 + 1647*q. Determine r so that n(r) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/2 - 808179*g\/2.\nAnswer: -3*g*(g + 269393)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70178 - -140357\/2. Let x = -0.3 + 2.3. Which is the closest to u? (a) x (b) -4\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -950, -959, -968, -977, -986, -995?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/50 + 93\/350. Put l, 0, 2, 0.03 in descending order.\nAnswer: 2, l, 0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-2)**2 - (1*sqrt(7) + 4).\nAnswer: -sqrt(7) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.91523663 rounded to three dps?\nAnswer: 1.915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 1. Let o be u(-4). Suppose 0 = o*y - 5*y. Suppose 0 = -y*m + 3*m + 15. Which is the third biggest value? (a) -3 (b) -5\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.2 less than 361?\nAnswer: 347.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2 + 10 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmjmmmjyjvjjjvmmyjyj. What is prob of sequence yvv?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 17. List the prime factors of ((-306)\/u)\/(4\/(-40)).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406 = 424*b - 5600*b + 124852 + 30022 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 3*i. Let u(f) = -2*f**2 + 11*f - 1. Let h(k) = k**2 - k. Let r(m) = -4*h(m) + u(m). Let y(z) = 2*r(z) - 11*v(z). Factor y(d).\nAnswer: -(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146800567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 2804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 104\/16 + (-2)\/4. Let l(i) = -2*i**2 - 5*i - 7. Let q(z) = z**2 + 3*z + 4. Let t(y) = -3*l(y) - 5*q(y). Let j be t(-2). Is j at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 2*y**5\/25 + 21*y**4\/10 + 38*y**3\/5 + 11*y**2 + 36*y\/5 + 63. What is s in t(s) = 0?\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j + 3*l = 27, -5 = 5*j + 2*l. Which is the second smallest value? (a) -2\/7 (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 3*v + 30*v. Solve 11*y - 24 = -v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 72?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/11, 16, 222 in ascending order.\nAnswer: 10\/11, 16, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/11)\/(36 + (-399)\/11). Suppose -4*f = -2*f. Sort f, k, -1 in decreasing order.\nAnswer: f, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - l + 10. What is the remainder when 148 is divided by k(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71818 and 1444853.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3279125 to three dps.\nAnswer: -0.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3, -4, -252, 0.\nAnswer: -252, -4, -3, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 293\/2 - 146. Factor -j*q**3 + 0 - 1\/2*q + q**2.\nAnswer: -q*(q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1741, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -862450?\nAnswer: -862450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 21\/13215143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, f: 5}. What is prob of sequence jjj?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52*f**2*h + 2*f**2*n**2 + f**2 + 5*h*n**3 + 2*h + 26*n**3 wrt n?\nAnswer: 4*f**2*n + 15*h*n**2 + 78*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 9*a - 10*a. Suppose -3*x = -a*x - 12. Suppose -5463 = -x*t + 5*j, -814 = 4*t - 4*j - 6278. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61 or -5?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 - -11.88. Let r = -11.93 + g. Let z = r + -0.17. What is the smallest value in -1, 0, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -269 - -274. Suppose 0 = -9*q + d*q + 2780. What are the prime factors of q?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8691*141\nAnswer: 263.5431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -7*z + 48*d - 46*d, 5*z + d + 30 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/51)\/(96\/72). Is t at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11003 (base 4) in base 16?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 76. Give m(-1).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65223539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2 - 3 - 1 + (0*w + 2*w - 4*w)*(-2 - 2 + 2))*(3*w + w - 5*w).\nAnswer: -2*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1532531 (base 6) to base 9.\nAnswer: -146471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-11 - -31) + (-5 - (3 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1532615 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630*y**3 + 1269023 - 1269023.\nAnswer: 630*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - y = -1, -3*d + y + 1 = -6. Suppose 3*j + 4 = -4*p + 42, -30 = -d*j + 5*p. What is the remainder when j is divided by 2\/(-7) - (-46)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -38557*k + 809651. Give q(21).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1331 - -2212?\nAnswer: 10203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3284000 rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 115 = 5*t, 34 - 12 = 2*t - 4*v. What is the remainder when (-180)\/(-8)*(-8)\/(-5) is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g - 26*g**2 + g - 2*g + 104*g**2 + 11*g**2 as u*g**2 + y + n*g and give u.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 1:00 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12 + -4 - -10)*2\/4. Is 15 a factor of -3 + (-21)\/p*-207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-8 - -7) + -5 - -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*u - 5*j, 2*u - 13 = -u - 4*j. Let b be (-183)\/2*(-36)\/54. Solve -a**2 + 21*a**4 + 0*a + 24*a - 145*a**3 + 199*a**u + 3*a**5 + b*a**2 = 0 for a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.97224 - 0.02776. Let o = -1.97 - 0.03. What is the fourth smallest value in u, -8, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -321. Let k = 73 - n. What are the prime factors of k?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792 = 2*z - 5*z. Suppose -4*x + 2*x = -4*w - 132, -z = -4*x + 4*w. Suppose 0 = v - 2*j - 81 - x, 4*v - 584 = 4*j. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -153052098037?\nAnswer: 153052098036.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 424921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3812 + -15247\/4. Solve 15\/4*a + j*a**3 - 7\/4 - 9\/4*a**2 = 0 for a.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-7)*n**(-7)*((((n*n**(-2\/13)\/n)\/n)\/n)\/n)\/(n*n**2*n))**30 assuming n is positive.\nAnswer: n**(-2400\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 6*n**2 + 7*n + 4. Let l be a(-7). Let w(m) be the third derivative of 1\/60*m**5 + 1\/24*m**l - 1\/3*m**3 + 0 + 0*m - 2*m**2. Calculate w(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3257 is divided by 1059.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1695, 4041, 6373, 8685, 10971, 13225, 15441?\n\"Answer: -t**3 - t**2 + 2356*t - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32, -142, -276, -434, -616?\n\"Answer: -12*a**2 - 74*a + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (14 + -10 - (3 - -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 10*u**2 + 31 - 7*u**2 + 28 + 16*u**2 - 17*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 1:21 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**5 + 260*q**4 - 2585*q**3 - 2850*q**2 = 0.\nAnswer: -1, 0, 15, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 34. Let i = d + 22. Round i to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, 66, 2, 3, 21, -3, 6 in increasing order.\nAnswer: -144, -3, 2, 3, 6, 21, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45294?\nAnswer: 2, 3, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001428 rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608794 minus -102?\nAnswer: 1608896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -2, 4 in increasing order.\nAnswer: -6, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-3*(-4)\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-19)*g**(2\/69)*g*g*g**(-1\/14)*g*g*g*g*g*g**(-2)\/g*g)**40 assuming g is positive.\nAnswer: g**(-251980\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 46. Suppose o*u - u = -100. Let n be -40*(-2 + 1)*1. Calculate the highest common factor of n and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*c - 6*c - 51. Suppose -4*b - 2 = -d, c*d - 6 = -7*b + 8*b. Solve 3*o - 4*o = b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**2 - 19*r + 55. Calculate u(10).\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-90)*115*(-5)\/(-5)*-1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211201002 + 101?\nAnswer: 2211201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**3 - 344*n**2 - 952*n - 480.\nAnswer: 2*(n - 60)*(n + 2)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 10611?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*c + 377188 = 432944 for c.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2. Suppose -4*g + 28 = 4*b, -g - 3 = -3*b + 2. Let i(d) = -2*d - b + 3 + 4*d. Calculate i(h(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27369?\nAnswer: 3, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8 + (-125)\/20 - (-717640)\/32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l**3 + l**2 + l - 1. Let u be m(-1). What is the nearest to u in -0.1, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2014964 - -2014922.000825. Let l = p - -42. What is l rounded to 5 decimal places?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6906\/12)\/((-9)\/(-3) + -2)*2. Calculate the highest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**8\/112 + u**7\/70 + u**6\/40 - u**5\/20 + 13*u**2. Factor s(x).\nAnswer: -3*x**2*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -6.686236819336.\nAnswer: -7.686236819336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 458?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**5\/210 - 1597*h**4\/84 + 3190*h**3\/21 - 10675*h**2. Let v(n) = 0. What is n?\nAnswer: 2, 1595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-24607.\nAnswer: -2460.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24587579024 + 0.\nAnswer: 24587579024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/7 - 2\/7. Suppose l*a - a - 33 = 0. Calculate the remainder when 41 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v - 2*v + 14*v + v)*(84 - 90 + 4*v - 2*v).\nAnswer: 10*v**2 - 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -5 + 8 + (19 - 13)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/2 - 424523*a - 24623175\/2 = 0. What is a?\nAnswer: -29, 849075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 137239 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: Is 2\/(-4) - (-22376)\/16*(-5 - -412) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.004, 1, 1\/6, -7 in increasing order.\nAnswer: -7, -1, 0.004, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 17 = -4*r, r + 3*h = -0*h. Let u(k) = -3*k**2 - 16*k - 3. Let b be u(-5). Let a = 0.08 + 2.92. What is the nearest to 1\/4 in b, r, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00081 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -5*o - 5, 5*o + 5 = -1603*w + 1606*w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 1, l: 2, v: 2, q: 11, f: 2}. What is prob of sequence vqf?\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094820077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 12:22 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63259?\nAnswer: 7, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/10*17380\/2607.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 262.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 - -170*(-1 + 3)?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 1)\/(16\/80). Let h be 2\/((5\/j)\/(-1))*1. What is the nearest to -1 in -0.4, h, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 289542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 1.2. Let o = -13 - -23. Let n be o\/21 - 1\/3. Is n <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u - 10. Suppose 0 = -2*h + s - 6, -h - s - 17 = -u*s. Let f be h*(2 - 1) + 3. Sort 0.1, 0.05, f in increasing order.\nAnswer: 0.05, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5 + 5*t + 5 + t**2 + 8 - 2. Calculate h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146*v**4 - 5318*v**3 + 7607232*v**2.\nAnswer: -3504*v - 31908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116719, 131461, 146195, 160915, 175615?\nAnswer: 190289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-1\/7))\/(r\/r**0))\/(r**(1\/2))**(2\/7) assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eseeoop. Give prob of picking 1 s and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 638 - 359. Suppose -2*p + 5*p = l. What is the remainder when p is divided by (-3530)\/(-353) - (-3)\/((-12)\/(-152))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*q**4*s + 1284832*q**3*s**2 + 6*q**2*s**2 + 948*q**2*s - 6*q*s + 22*s**2 wrt q.\nAnswer: -120*q*s + 7708992*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 521, 1186, 2127, 3350, 4861, 6666, 8771?\nAnswer: 11182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 182060338?\nAnswer: -109236202.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.377 and 1694?\nAnswer: -638.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z - 25. Let g(p) = -1. Let y be (15\/6)\/(3\/30). Let h(n) = 462*n + 1847. Let l be h(-4). What is l*v(u) + y*g(u)?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 836.4556991 - 1.5909991. Let h = 835 - j. Let c = h - 0.127. What is c rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(-1\/6))**(-17) assuming d is positive.\nAnswer: d**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - -1. Calculate the greatest common factor of h and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18, -1, -24, -57, -106, -177, -276?\n\"Answer: -y**3 + 4*y**2 - 24*y + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 1. Let y be (-2)\/5 + 12\/5. Let r be i(y). Suppose -r*u = -20 - 4. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -93?\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -107. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 2, 0.5, 12, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8461614334 to the nearest integer?\nAnswer: 91987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from {e: 5, v: 1, p: 4, j: 2, s: 7, l: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-2)*k*k\/(((k*k**(-1\/6))\/k)\/k*k)*(k**(-2\/5))**(-2\/39))**48 assuming k is positive.\nAnswer: k**(6824\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681 is divided by 133?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 43 + 34. Let s be 3*(3\/m + 0). What is the greatest common factor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, -513, -789, -1039, -1257, -1437?\nAnswer: -1573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1468913, 2937764, 4406615, 5875466, 7344317?\n\"Answer: 1468851*q + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 j when four letters picked without replacement from uuuuuuujjuuuuuuuuu.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-20) - (-12)\/(-60). Sort -5, 4, i.\nAnswer: -5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 - -0.82. Which is the closest to 1\/4? (a) -2\/5 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-18 - (11 - 19))) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1902*v + 1907*v + 2*u = -36, 69 = -3*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggooogggggggogogg. What is prob of picking 2 o and 1 g?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yckxxcxwwckyccwwybyy. What is prob of picking 1 b, 2 x, and 1 w?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + 1 + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(143)*-2 + sqrt(143)))\/(sqrt(55)\/(sqrt(20)\/sqrt(4))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 847*y**3 + 3*y**2 - 3*y - 6. Let w(s) = -849*s**3 - 2*s**2 + 2*s + 4. Determine -2*a(g) - 3*w(g).\nAnswer: 853*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 304.31?\nAnswer: 60.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2411962.719 rounded to the nearest one hundred?\nAnswer: -2412000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.37009 - 0.07009. Which is the closest to -0.06? (a) 36 (b) s (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - ((-3 - 0) + -2). Suppose -2*w - l = -7*w + 389, r*w - 5*l - 405 = 0. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35069796, -35069784, -35069758, -35069712, -35069640, -35069536, -35069394?\nAnswer: -35069208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 46*t - 30. What is o(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 3, 10.\nAnswer: -4, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 481136237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 450, 954, 1644?\nAnswer: 2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - s + 6*s - 8, 4*s - 2 = -m. Let h be m*(-6)\/(24\/46). Let u = h + 85. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.318 and 25.\nAnswer: -7.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-2 - (-2 - 2)) + -135 + 65 + -4)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*r - 142 + 142)*(3 - 1 + 0)*(4*r - 4*r + 2*r).\nAnswer: -184*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5213435451.\nAnswer: 3, 7, 7477, 33203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 6*n + 7*n - 1, 2*p + 5*n - 5 = 0. Suppose -3*f + a + 5 = p, 0 + 5 = -5*f - a. Determine s, given that 0*s**2 + 3\/2*s**3 - 6*s + f = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1401 - -1403. Solve -o*q + 1 - 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-1 + 1 + 2*a)*(-10 - 7 + 8).\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57713967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 2 + 0)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 335126 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1005, 2012, 3021, 4032?\nAnswer: 5045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*g - 0*g. Let m = -448 + 1787\/4. What is the second smallest value in m, g, -3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -41?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 7*x + 4. What is c(6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234096.\nAnswer: 2, 3, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/26514 and -47\/116.\nAnswer: 1537812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1145 + -1143. Determine p, given that -2\/5*p**r + 1\/5*p + 1\/5 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 12:45 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -49 + 12 - (-25 + 4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/15*(-15)\/(-3). Let b = 4 - 2. Suppose b*j + 1 - 7 = 0. Solve -j = -5*g + l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10338 + 134392\/13. Which is the fourth biggest value? (a) 5 (b) -0.1 (c) -0.0029 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 318 - -1a?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 1. Let a be (c\/6)\/(1\/4). Find the first derivative of -5*w**a - 9*w + 9*w + 2*w**2 + 3 wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 8*c - 9. Let x be j(6). Suppose -613 = -x*z - 5*n, 2*z - 3*n - 417 = 2*n. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16831677 divided by -6.\nAnswer: -5610559\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.96 + 0.04. Let l = 0.1657 + 0.8343. Which is the smallest value? (a) q (b) l (c) 3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + (2 - -7) + 68 + (-28 - 59).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/2*(-3)\/(-6). Sort a, -3, 0.3 in descending order.\nAnswer: a, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 383734316?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9833*w**3 + 9*w**2 - 5793134*w.\nAnswer: 58998*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57977 is divided by 57802.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.36 - 0.09. Let l = -0.4 + u. Let x = 0.03 + l. Which is bigger: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pttt when four letters picked without replacement from ptptttpppptp?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.35 or -433341?\nAnswer: -433341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -105157.532 less than 15?\nAnswer: 105172.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 25*s. Let z(m) = 225930*m. Give z(q(i)).\nAnswer: 5648250*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 18*u**2 + 15*u + 13. Does 11 divide i(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 625383 by -5.\nAnswer: -625383\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53 + 1b81?\nAnswer: 1b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.66 + -22.93. Let m = a - 17.68. Let g = 40 + m. What is g rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.300754 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 2*d**2 + 1. Let k(s) = -892*s**3 - 11*s**2 + 4. What is k(q) - 6*p(q)?\nAnswer: -880*q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -9\/20*q**5 - 2\/35*q**7 - 1\/224*q**8 + 0*q**3 - 85*q**2 + 0 + 0*q - 21\/80*q**6 + 0*q**4. Factor t(w).\nAnswer: -3*w**2*(w + 2)*(w + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30021.84099 + -30022. Round j to 3 dps.\nAnswer: -0.159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3624589 is divided by 22793?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*9\/36*6\/36?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 17. Let u be ((-2)\/f)\/(4\/108). Is 1 + u - (-1 - 1) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162 + 167. Solve t = -4 + d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216329 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 3. What is the remainder when q(6) is divided by 34\/8 - 9\/36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 46*x**2 + 314*x + 2. Give j(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*n - 3618 = -751*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -60. Solve m + z = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6028, 6024, 6020, 6016?\nAnswer: 6012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58197315?\nAnswer: 3, 5, 11, 352711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-12 + 3 + 5 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 1 - 9*g - 7)*(6 - 121*g - 2 - 528*g) in the form n + m*g**2 + s*g and give s.\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 19744, 34 in decreasing order.\nAnswer: 19744, 34, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.4 - 11.231. Let i = n + 10.131. Let y = i + -10.399. What is y rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-6*(sqrt(245) + sqrt(245)*1) + sqrt(245))*-2)**2 + 1*(((sqrt(245)*-2 - sqrt(245)) + sqrt(245))*-3)**2).\nAnswer: 764400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -58343 divided by 58343\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 889 (base 11) to base 14\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 + -80. Let w = d + -16. Suppose -i - 172 = -3*a - w*a, 0 = -i + 2. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - r + 1. Let p be u(2). Let q(m) be the first derivative of 26 - 12*m + 1\/2*m**2. Calculate q(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15477\/1474)\/(42\/4)*(-2)\/(-12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*f + 68*f = 5, -21 = 4*d + f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -211\/780 - -4\/195. Which is the nearest to f? (a) 4 (b) 0.2 (c) 89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1424*q**3 - 2 - q**2 + 8 - 6.\nAnswer: -1424*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 9*s**2 + 4*s + 12. Let o = -20 - -14. Let f = 3 - o. Is g(f) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -12*i**2 + 3\/50*i**5 - 1\/300*i**6 - 2\/5*i**4 + 0 + 16\/15*i**3 + 0*i. Suppose n(s) = 0. Calculate s.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a8759 (base 12) in base 3?\nAnswer: -1211012212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 576 and 16688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22353, 22359, 22353, 22329, 22281, 22203?\n\"Answer: -z**3 + 13*z + 22341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*i + 7 = -6*d, 4*d + 2 = i. Let c(n) = 5*n + 94 - 95 - 4*n - n**2. Let m(a) = a**3 - 4*a + 2. Give d*m(r) - 2*c(r).\nAnswer: -r**3 + 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 18920.7.\nAnswer: 18918.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -66760212 divided by 33447?\nAnswer: -1996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 6*j + 9. Let q be v(-7). Suppose -7*k + 8075 = -q*k. Suppose 6*o - k = o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 3:48 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*p**4 + 2*p**2 - 2*p - 3 - 36*p**4 + 66*p**4 in the form d*p**2 + h + v*p + g*p**3 + q*p**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116752\/125 + 934. Let r = -1067\/500 + f. Find the common denominator of -95\/12 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 - 24 = 0. Let x be h\/(-20) + 279998\/10. Round x to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2 - 2*w + 6. Calculate f(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8\/10)\/(2\/75)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(325)*5*1)**2.\nAnswer: 32499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4)*(-2)\/(-20). Let p = -102 + 96.9. Let l = p - -1.1. What is the smallest value in s, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2510 + 2583. Solve 13*s = -8 + t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 35?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10012 - 1403?\nAnswer: 3104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 12 + 4. Let i(y) = 2*y. Calculate the lowest common multiple of i(k) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**4\/24 + 2*j**3 - j**2. Let y be d(0). Suppose 31 = 3*n + 4*m, 10 = 3*n - 5*m - y. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 + 2556932\nAnswer: 2556973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32274 - -32637. What is the remainder when 12704 is divided by q?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, f: 1, m: 1, h: 4, b: 3}. What is prob of sequence mq?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.709+-3890793642\nAnswer: -3890793642.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 24. Calculate the common denominator of 23\/18 and ((-3)\/b)\/((-60)\/234).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312813 is divided by 784.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 0 - 2*a + 7 in the form t*a + b and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p + 5. Determine c(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 330*b - 2. Let z(m) = -m**2 - 10*m. What is n(z(w))?\nAnswer: -330*w**2 - 3300*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 29*x + 7. Let r be j(7). Suppose 5*m + r = 5*t, 7 = 3*m - 2. Let a = -7 + t. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9311, 18621, 27929, 37235, 46539, 55841?\n\"Answer: -o**2 + 9313*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -37) + (193 - 166 - (-4 - -33)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + r**2 + r + 7. List the prime factors of q(-3).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652106 (base 8) to base 4.\nAnswer: 311101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 divided by -3?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.6 - 23.5. What is the nearest to -0.1 in r, -3, 1\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 0 (b) -0.3 (c) 2 (d) 3\/2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2222?\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 507*b**2\/8 - 219843*b + 190654614.\nAnswer: 3*(13*b - 22548)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrj when three letters picked without replacement from {j: 8, a: 3, v: 2, r: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*q + 21 = 0, -2*q = -2*v - 0*q - 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(sqrt(1377) + 2*sqrt(1377) + -1 - (sqrt(1377) - (-5 + 0 + sqrt(1377))))*-2.\nAnswer: -108*sqrt(17) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 624991\nAnswer: -17\/624991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**3 + 41*q**2 + 289*q - 1872. Determine i(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 330 = -0*s - 3*d, 85 = s + 4*d. What is the lowest common multiple of s and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 11*d + 56. Let o = d + 54. Which is the nearest to o? (a) -4 (b) -13 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/1*(-4)\/(-10). Let j(k) = 3*k + 3 - 2*k + 4. Let s be j(y). Which is bigger: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3498916 is divided by 197.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 7, -2\/3, -4390 in decreasing order.\nAnswer: 7, -2\/3, -13, -4390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -809 - -812. Solve -4*k - z*a - 4 = 0, 0*k - 5*k + 18 = -2*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -45*w**2 + 8*w - 4. Let i(h) = -11*h**2 + 2*h - 1. What is -2*a(x) + 9*i(x)?\nAnswer: -9*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, m: 1, c: 1, u: 1, g: 2}. Give prob of sequence lgl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osmd when four letters picked without replacement from {o: 3, s: 3, n: 1, m: 1, i: 2, d: 1}.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4185947?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6642 and 24354?\nAnswer: 73062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 19. Suppose 20 = 4*q - h*q, -u + 17 = 3*q. Calculate the smallest common multiple of 1 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 279 and 310.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -172426.6017 rounded to the nearest one thousand?\nAnswer: -172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66130.0577 - -15.0577. Let q = x - -66101.0015. Let d = -14 - q. Round d to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/5*(-1)\/(-3). Solve i*y - 7 + 1 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14590 - 6802. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9135964 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -102. Let x = q + 57. Solve -p + x = 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 take away -55.132?\nAnswer: 317.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 1) + 3\/(-1). Suppose m = 5*o + 24 - 9. Let h(b) = -b**3 - 4*b**2 - b - 2. What is h(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 38, 31, 24, 17, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.783 in 0, -1, 52, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(114))\/sqrt(6))**2*-5.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-20))\/(13*13\/4225) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/7 (b) 0.12 (c) 0 (d) 8\/9 (e) 0.1 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.75217 kilograms in tonnes?\nAnswer: 0.09175217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/8602 and 35\/23.\nAnswer: 8602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 112, 116, 120?\n\"Answer: 4*m + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2461*h - 17238. Determine d(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11580 - 11580.00004749. Round m to 6 dps.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (695\/(-15))\/(2\/(-6)) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4556, 9105, 13650, 18191, 22728, 27261, 31790?\nAnswer: 36315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -294898 and -2064290\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -18 - (4 + 0 + -7)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69 (base 11) to base 7.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -54. Let z = q - 12. What are the prime factors of 1 + z*(-1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -69*d + 1. Let a be z(-5). Suppose 5*h + 91 = a. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(98)*-3)**2 - sqrt(98))*1 + (sqrt(98) + (sqrt(98) - (2 + sqrt(98))) + -5 + -4)**2 + 5.\nAnswer: -161*sqrt(2) + 1102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.11 (b) -5 (c) -15 (d) 1\/4 (e) 3 (f) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 330676 (base 11) in base 8?\nAnswer: 2007015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-7 + 6)\/1)\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpp. Give prob of sequence kp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3355 - 2*w**2 - 3355. Let a(g) = 99*g**2 - 11*g - 11. Let r(s) = 3*s**2 - s - 1. Let o(z) = 2*a(z) - 22*r(z). Give o(y(v)).\nAnswer: 528*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24902 + 0.21966947.\nAnswer: -24901.78033053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582477.\nAnswer: 3, 7, 27737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 6*r**2 + 5*r - 5. Give i(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**26\/u*u))\/u**24 assuming u is positive.\nAnswer: u**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y - 8. Let l(r) = r**3 + r**2 + 31. Let s be l(0). Let h = -20 + s. Let m(i) = -3*i + 3. Determine h*m(a) + 4*u(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)\/(j\/(j*j\/j**(2\/23))))\/(j**(-2\/3)\/(j**4\/j)) assuming j is positive.\nAnswer: j**(563\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 220 = -p. Suppose -7*b + 229 + p = 0. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21852107, 21852131, 21852155, 21852179, 21852203, 21852227?\n\"Answer: 24*r + 21852083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, 28, 56, 86, 118?\n\"Answer: z**2 + 23*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 8*w + 64, -w - 5*d - 48 = -22. Let a = 2 - 0. Let v(f) = 0 + 5*f - 2*f + 1 + 7*f**a + f**3 - 3. What is v(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 925 = 5*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3651*k - 4. What is the units digit of c(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3360*u. Let w(l) = 64934*l - 2*l**2 - 64934*l. What is z(w(i))?\nAnswer: 6720*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 2161 = -1087. Let g = s - 74. What are the prime factors of g?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 184 = 3*z. Let a = z - 31. Let r be (2\/7)\/((-28)\/a). Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-4)*(-2)\/3. Let x = -114668 + 114672. Which is the smallest value? (a) 2\/17 (b) h (c) 11 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (55 - 31) + (2 + -4 - 63 - 2).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/696 and 43\/2552.\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 147.40371ns?\nAnswer: 0.0000000024567285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 4*g**2 - 2*g - 5. Let k be y(-4). What is the derivative of -2 + 0 - 5*w**k + 6 + 3 wrt w?\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7481893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182579 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3543201 (base 7) to base 13\nAnswer: -128a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.8774 + 10.01. Let d = -0.13 + s. What is d rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + (-1*sqrt(968) - sqrt(968)))\/(1*5*sqrt(4)).\nAnswer: -21*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 4*q. Let f(o) = -o**2 - 4*o. Let i be f(-3). Let t = i + -5. Let g(y) = -2*y - 1. Let u be g(t). Determine x(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2187 - -6557\/3. Let n be 40\/6 - (-1)\/3. Let o = 1.9 + -1.7. Which is the nearest to n? (a) o (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4567621 is divided by 351355.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 6, l: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - o**2 + o + 9601. Let p be k(0). Let y be p\/(-3) - 3\/(-9). What is y rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-8))\/y**(2\/3))\/(((y\/y**(-2\/15))\/y)\/(y*(y\/(((y**3*y)\/y)\/y*y*y*y))\/y*y*y)) assuming y is positive.\nAnswer: y**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1830826291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6516187.5507 and -0.1.\nAnswer: 6516187.4507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1833329*g - 16. Let t(r) = -3666657*r + 33. Let l(q) = -5*i(q) - 2*t(q). Let h be l(-6). What is h rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 3*l + l + 4 + 4*l**2 + 0*l**3 + 0*l**2. What are the prime factors of u(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255666108, -255666109, -255666110?\nAnswer: -255666111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4374 and -67\/486.\nAnswer: 4374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.81 - 0.19. Let x = -4.451 + 3.451. Put 2\/3, o, x in descending order.\nAnswer: 2\/3, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 5, c: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 3*v**4\/8 - 97*v**2. Let z(u) = -3*u - 3*u + 6*u + 3*u. What is 2*h(o) - 7*z(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -78*f - 2. Let u(a) = 25*a**2 + 75. Let n(p) = 23*p**2 + 50. Let g(q) = 3*n(q) - 2*u(q). Determine g(y(o)).\nAnswer: 115596*o**2 + 5928*o + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 565\/10170*(148 + -1)*-6?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 3*b + 8, 94*b - 95*b = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 20 = 2*n + 5*g, -4*n - 2*g = 24. Let i(s) = s**2 + 4*s - 2. Let r be i(n). Solve -r*m = 2*b + 1, 0*b - 2*b = 5*m - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4232611500 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 118984695517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3 (b) -0.14 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 240.2838?\nAnswer: 1201.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 7*o**2 + 14*o + 10. Determine f(-9).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 94*u + 1. Suppose -2*n - 2*n = -4. Let d be k(n). Suppose z + 190 = 4*z - 2*p, -2*z - 5*p = -d. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 431657 - 2017063. Suppose -o = -4*c - 46765896 + 16024272, 0 = 3*c + 2*o + 23056218. Let s = c - f. What is s rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6593454397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r**2 + 2*r**2)*(-3 - 1 + 5).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -1, -10, 15 in decreasing order.\nAnswer: 15, 5, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1117 - -1122. Put -1, -4, 0, d in decreasing order.\nAnswer: d, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 515. Let v be q(0). Suppose 2*f = -2*x + 226, 5*f = 4*x + x + v. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 19*g + 55 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, 3, 26.434, -1\/1562?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 45 - 87 = 0. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116 or -110?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 - (4 - (-13 - -4) - 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 17334.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-14) - 0) + -8 + 15340\/14. Put p, 0, 1 in increasing order.\nAnswer: 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 33 = 5*k. Let l(u) = -6*u**3 - 4*u**2 + 2*u + 1. Let p(w) = -17*w**3 - 11*w**2 + 5*w + 3. Determine k*l(j) - 4*p(j).\nAnswer: 2*j**3 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(5\/3))\/s**(4\/7))**(2\/25) assuming s is positive.\nAnswer: s**(-52\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.282764ml?\nAnswer: 0.006282764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-72)\/15 - -4) + 1. Let g = -92 + 458\/5. Let c = 2384\/77 + -218\/7. Sort c, r, g in descending order.\nAnswer: r, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 3*o - 3. Suppose -15 = -5*k + 3*r, 5*k - 3*r - 2*r = 15. Let v(j) = -j**2 - 5*j + 5. Give k*v(y) + 5*i(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, and 1 q when three letters picked without replacement from tmmmtkmmmqtttmttt?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*y + 50 = 4*c, 2*c = 3*y + 54. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 1724880.\nAnswer: 1724880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, -40, -94, -170, -268, -388, -530?\n\"Answer: -11*n**2 + n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -220809.535 rounded to the nearest one hundred?\nAnswer: -220800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 26*r**2 - 2*r + 52. Let v be p(26). Put 30, -2, v in decreasing order.\nAnswer: 30, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130 - 128. Let z = 1560 - 1565. Sort -0.07, s, z in descending order.\nAnswer: s, -0.07, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1035 divided by 90?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16968 by -5656.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 30 = -5*y, -4*y + 3 = -5*y - 2*k. What is the first derivative of -3*q**4 + y - 3*q**4 + 3 - 2 wrt q?\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 3, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 174478806?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**3 + 1 - 1)*(-10 + 20 + 11).\nAnswer: 126*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(((-260)\/(-48))\/13). Suppose -i - 3*n - 15 = -1, 2*n + f = -4*i. Is -9 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*j - 4*p, -3*j + 6*p = 13*p + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7064?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5\/6 - 10*u**4\/3 - 185*u**3\/2 + 105*u**2 + 2970*u + 4860 = 0. What is u?\nAnswer: -6, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432124 (base 6) to base 11.\nAnswer: 24721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + l + 119, l - 26 = b - 2*b. Suppose 12*a = -2 + 199 + 223. Solve -3*i + 8*i + d + b = 0, -3*i - 5*d = a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10198845*s**4 - 8601156.\nAnswer: -40795380*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -154 divided by -38\nAnswer: 77\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -39736.4726 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*a - 61*a**2 + 180*a**2 - 58*a**2 - 49*a**2 + 5*a to the form l*a + s + o*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 35, 63, 107, 173, 267, 395?\n\"Answer: w**3 - w**2 + 14*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.0217.\nAnswer: 0.01085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3121 * 8641\nAnswer: -26968561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*28\/(-12) - -4. Let o be -2 + (-4)\/(67 + s). Let i = -43\/16 + o. Are i and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13284 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrh when four letters picked without replacement from {h: 2, r: 17}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4d12 (base 14) to base 12\nAnswer: 7a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -5*t + 22. Let y be -3 - (-1 + 4 + t). Suppose -35 + 179 = y*i. Calculate the greatest common factor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -855 - -1246. Suppose 3*s = -4*a + 130, -2*s = -32*a + 30*a + 72. What is the greatest common divisor of a and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 240*z + 51105. Determine p(-136).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4062 + -4069. Let p(o) = -3*o**2 + 4*o + 5. Let a be p(-5). Calculate the remainder when x\/((-28)\/a)*(-8)\/5 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 + 101. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5 - 1957*b**3 + 1188*b**3 + 2 + 6*b**2 wrt b.\nAnswer: -4614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2 and -20\/235717.\nAnswer: 471434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -356455 + 372139129\/1044. Calculate the common denominator of l and 79\/58.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 2 (c) 3 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -536, -1070, -1604, -2138?\n\"Answer: -534*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 10*h**3 - 7*h**2 - 8*h + 2. Let o be m(7). What are the prime factors of (33 + -37)*(o\/(-12) + 0)?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52473044.\nAnswer: 2, 13, 1009097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -43910548.9 rounded to the nearest 100000?\nAnswer: -43900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-4))\/((63\/147)\/((-8)\/28)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.07 and -523.\nAnswer: 559.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -37*i + 2783370. What are the prime factors of i?\nAnswer: 92779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 5:02 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -658 + 653. Let n = 27.6 - 27.8. Which is the closest to -0.05? (a) 1\/8 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r + 9 - 9 + 16 + 6 in the form b*r + v and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 16) in base 2?\nAnswer: 1010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 86080.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**12*u*u**(-18) assuming u is positive.\nAnswer: u**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 - -27. Let z = -8 - x. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g**3 + 8*g**2 + 3*g - 13. Let n = -14 - -8. Is k(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1\/1412719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 6*j**2 + 5*j + 8. Let l be a(6). Suppose 3*b - 6 = 0, c - l = 5*c - 5*b. Let t(r) = -r**2 - 7*r - 5. What is t(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 15) to base 6.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 378*x**2 - 1224*x**2 + 403*x**2 + 408*x**2 to v*x**2 + u*x + z and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168241.\nAnswer: 3, 97, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1592694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*i - 13. Let s be (2 + (-2)\/4 + 0)*i. Suppose s*b - 444 = 5*b. List the prime factors of b.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 586113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, i: 3, d: 4, l: 1, c: 2}. What is prob of sequence ihl?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyqqqqqqdreddqqeqqqy. Give prob of sequence ee.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -228\/10133 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6367452 and 468.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -12 (b) 5\/2 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2147 - -1?\nAnswer: -2146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + y + 2378 = 2548, -7*b - 12*y + 265 = -16*y for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -69*t**3 + 1862*t**2 + 23*t + 103. Give z(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -19. Let n = -75 + 33. Let v = 3 - n. Calculate the remainder when v is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 72*z**2 - 4555*z - 9111. What is x(-2)?\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/35 + (-14349)\/(-100541). Let g = 1048463\/258534 - c. What is the common denominator of g and 83\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9\/4, 2\/9, 2?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9236*(-2)\/(-18) - 2\/(-9). What is j rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 832 = 6*l. Suppose -299 = -4*n - 3*k, -2*k = -3*n - k + l. Let x = -37 + 55. What is the remainder when n is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**4\/24 + c**3\/6 - 16*c. Factor r(n).\nAnswer: n*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 307 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, p: 3}. Give prob of picking 2 p.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 1\/(-1 + 2). Suppose 0 = 2*a + 3*a + 5*q + 155, -5*q + 85 = -3*a. Let w = a + 26. What is the third biggest value in w, 2\/5, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q + 19. Let b be y(-5). Suppose -55*z + b*z + 594 = 0. What is the smallest common multiple of z and 33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + (-2 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -462, -3\/256 in ascending order.\nAnswer: -462, -4, -3\/256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25932*v**3 + 12262*v**3 + 9672*v**3.\nAnswer: -3998*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*d = 116*d - 35. Let y = 166 - 254. What is the tens digit of (y\/10)\/(1\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 6\/7 (b) -852.2 (c) 0.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2684c (base 16) to base 6.\nAnswer: 3214232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 >= 782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1979 - -1979. Let m = -49651\/42031 - 2\/3821. Let i = m + 1. Which is the closest to p? (a) 4 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122\/27 or 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = 4. Let u(l) = 38*l**2 - 2*l + 1. Is u(g) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1675837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f. Let p(b) = 57*b - 106*b - 99*b + b - 35*b + b**2. Give p(m(t)).\nAnswer: t**2 - 182*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -212*k**3 + 96*k**2 - 23*k - 110. List the prime factors of p(-5).\nAnswer: 3, 5, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0 + 3. Let o be (3 - d) + 0 + -1. Let y be 31\/(-93)*18\/(-24). Which is the closest to y? (a) 4 (b) o (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15207431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b + 110 = 5*l, -120 = -5*l + 5*b. Suppose -5*w - j + 17 + l = 0, -j + 12 = 2*w. Suppose 24 = 2*m - w. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33366649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 5 - (3 - 2 - 14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -59, -81, -85, -65, -15, 71?\n\"Answer: i**3 - 41*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/4, 140, 1\/2, 3\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295121 is divided by 520?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 157 - -2?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/22 - 45\/(-55). Let n be (70\/(-25) - -2)\/(2\/(-15)). Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.5872um in nanometers?\nAnswer: 109587.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 27187?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**2 - 3476512*x - 755383480384 = 0?\nAnswer: -434564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1524, 3059, 4604, 6165, 7748, 9359?\n\"Answer: a**3 - a**2 + 1531*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 13, -13, -59, -131, -235?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkskkkksskkk. Give prob of sequence sk.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1824 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. Solve s + n*p - p - 1 = 0, -29 = s - 5*p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*o*u**2 - k*o*u + 2*k*o + 6*o*u**2 - 2*o + 4*u**2 + 449 wrt u?\nAnswer: -4*k*o*u - k*o + 12*o*u + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 49 + -32 + 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**5 + 228232*j**4 + 14*j + 5243 wrt j?\nAnswer: 20*j**3 + 2738784*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -4. Let j = d - -9. Factor -3*t**3 - j*t**3 + 3*t**3 + 3*t**2.\nAnswer: -3*t**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31026266?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74586 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 281 - 1369 = 0. Suppose g + 318 = -3*s. Find the common denominator of ((-2)\/(-8))\/((-44)\/s) and 79\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 11:44 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/8*(-12)\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 73*j + 370. Let v be p(-5). Solve v*b + 4*c = 32, -4*c - 8 = -11*b + 6*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-5)*(-7)\/70?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14025 - -28737. Suppose 3*p + r = -4*j, -2*p + 2*j + 4906 = -3*p. What is p rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 580 + 512. Let i = v + 364. Solve -3*x + z = -10, 5*x + i*z - 5 = 4*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 - 2*z**2 - 4*z - 3. Suppose -2*a + 8 = -22. Let b be (-1)\/(((-10)\/a)\/(8\/(-6))). What is c(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 - 25*q**2 - 976*q + 10239. Determine z(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 200305 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2057) + 2)*6*6 + 5)**2.\nAnswer: 32472*sqrt(17) + 2667553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 1\/12*f**4 - 9 + 0*f**2 + 0*f**3 - 5*f. Let k(j) be the third derivative of -2*j**5\/5 - j**2. Determine d(k(h)).\nAnswer: 576*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.0527 and 0.37.\nAnswer: -0.389499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(832) + 1 + -4*(0 + sqrt(832)))*-2 - (-3 + sqrt(1872) + 1 + (sqrt(1872) - (sqrt(1872) - 2*(sqrt(1872) + (sqrt(1872) - sqrt(1872)*-1))))))**2.\nAnswer: 288*sqrt(13) + 16864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqc when three letters picked without replacement from icqgq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 9, 5, -1, -9, -19?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = 5*w - 10*w + 26*k + 23, k - 10 = 4*w + 16*w - 4*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i - 4*i + 45 - 47. Let n be j(5). Suppose n*h = h. Solve 4*f + 20 = -h*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 10:19 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 470 = -9*f. Suppose -2*n - 56 = -d + 13, -d - 3*n + f = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290916?\nAnswer: 2, 3, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o**0\/o)\/o*o))**(-2\/25)\/(o*o**2*o)**(-14) assuming o is positive.\nAnswer: o**(1398\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*b - 298 - 395. Let m be (-24)\/(-9)*b\/12. Put -9, m, -4 in increasing order.\nAnswer: -9, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 18, -4, -276, 5 in decreasing order.\nAnswer: 18, 5, 2, -4, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*w - 343*w - 666 + 96 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100 - (24037272\/(-6496))\/37?\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 7022\nAnswer: -14044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {j: 6, i: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4518 - -5220.4. Let z = c + -702. Sort 11\/5, 2, z in ascending order.\nAnswer: z, 2, 11\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57.59 + -57. Let c = -0.31 + d. Let z = 0.26 - c. Round z to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 213544*g + 4058780.\nAnswer: -4*(g - 19)*(g + 53405)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -2. What is the third derivative of j*v - 5*v - 3*v**2 + 8*v**3 - 2*v**3 wrt v?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddhjjajdaddyejhdjyjy. What is prob of picking 2 a?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8733856ng in micrograms?\nAnswer: 0.0008733856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**6\/225 - b**5\/30 - b**4\/15 + 8*b. Factor j(f).\nAnswer: -2*f**2*(f + 2)*(f + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2500 and 25?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 177? (a) 11 (b) 0.3 (c) -0.3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**21*g*g**(-4\/17) assuming g is positive.\nAnswer: g**(370\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1915 - -1941. Which is the fourth biggest value? (a) 2 (b) o (c) 4 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2))**(-28)*x*x**11\/x*(x\/(x\/(x\/(x\/x**14*x)*x)))\/x assuming x is positive.\nAnswer: x**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**4\/4 + 2*u**2. Let k(a) = a**2 + 12*a + 35. Let z be k(-11). Let o(v) = -z*v + 44*v - 21*v. Calculate l(o(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77762475 (base 8) in base 16?\nAnswer: ffe53d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5 - c**2 - 5*c + 5 - 1 - 3. Let u be p(-4). Let g = 21 - 18. Solve -3*h = -u + g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 1 = 6*j - 3*j, 4*j - 5*f - 37 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1, 5, 4, 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-29 + (2 - -9) - -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440834 and 4994?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431371974.\nAnswer: 2, 3, 11, 17, 37, 10391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, o: 1, w: 3, g: 2, p: 6}. Give prob of sequence oj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56844.\nAnswer: 2, 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -86 - 2d?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 5:43 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -8. Let r be 1 + 3 + (-1)\/1. Let p = k + r. Is 2 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 326*r**2. Let u(o) = o + 7. Let w(s) = -4*s - 14. Let n(y) = 2*u(y) + w(y). Give p(n(t)).\nAnswer: 1304*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from hsfhhuhysh.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162 + -245. Let s = c - -86. Factor -15*m**4 - m**s + 5*m**5 - 21*m**2 + 6*m - 5*m**3 + 33*m**3 - 2*m**5.\nAnswer: 3*m*(m - 2)*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370642 is divided by 68528.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 3835\/895932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12433 is divided by 36?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + y + 14. Let x = 30 + -30. Is v(x) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 24400310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 6*l. Let w(h) = -100413*h**2. What is k(w(u))?\nAnswer: 10082770569*u**4 - 602478*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 384, 2181, 7060, 16563, 32232, 55609, 88236, 131655?\nAnswer: 187408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*k - 48 + 8 - 12*k + 18 - 15*k - 7*k.\nAnswer: k - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*s = 1, -65 = -10*r + s - 91 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*v - 3\/7*v**5 + 5\/7*v**3 + 5\/7*v**2 - 5\/7*v**4 + 0 = 0.\nAnswer: -2, -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -723 - -1067. Suppose 3*k + k = q. Suppose -f - k = -3*f. What is the remainder when f is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 9*b + 11. What is w(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-88)\/(-220) + 3\/(-45). Let l = 1.6 - 1.55. What is the smallest value in 0.5, l, 5\/2, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**2 - 3*i**2 - 32*i + 45*i + 93*i to the form u*i + s*i**2 + g and give u.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -7*b + 2*b. What is the units digit of (b\/3)\/(10\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*h + 2*h - 4 = 0, 2*h = 10. Let r(o) = -o**3 - 5*o**2 - 6*o - 1. What is r(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**7\/840 - l**5\/40 + l**3\/6 - 2*l**2. Let o(f) be the first derivative of m(f). Find the second derivative of o(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssvdsvss. Give prob of sequence sd.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c + 93 + 97 - 281 + 98. Determine j(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1264914 or -1264916?\nAnswer: -1264916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77\/5 - -16. Which is the biggest value? (a) 0.5 (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*l + 24065 = -818*l - 3540 - 11959 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -7)\/(-3 + 4). Suppose -2*z = -2*q - 10626, b*z - 2*z = 2*q + 26562. Suppose 0 = -3*d + z - 1505312. What is d rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1467441, 1467498, 1467555, 1467612, 1467669, 1467726?\nAnswer: 1467783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -987 + 6522. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/9 + -1)*-132. Suppose -4*d = -4*x - 2*d + r, -5*x + 104 = -4*d. What is the highest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**4\/3 - 2*t. Let a(h) = -3*h**2 + 4*h + 4. Let n(g) = 6*g**2 - 9*g - 9. Let y(f) = -9*a(f) - 4*n(f). Calculate o(y(d)).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1208 (base 9) to base 4.\nAnswer: -32003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 186 = -3*i, -b + 6*i - 2*i + 67 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 49 + 39 + (-4 - -96).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkikik. What is prob of picking 1 i and 1 k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1791 by -20.\nAnswer: 1791\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 17*g**2 - 11*g - 12. Let t be u(-1). Calculate the greatest common divisor of t and 448.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6442132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/5 + 2464*w**2\/5 = 0 for w.\nAnswer: -1232, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from gpn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4027245 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54 and 18.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*l - 21*l + 35*l, 0*g - 1 = g + 3*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 11:42 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let u(d) be the second derivative of 0*d**3 + 0*d**2 + 0 + 8*d - 1\/12*d**4. Determine u(l(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtx when three letters picked without replacement from xslxxtshlxlsxx?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -823 - -823.4. What is the fourth smallest value in y, -7, -1, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6295.4766ms?\nAnswer: 0.0000728643125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, v: 1, p: 2, l: 1}. Give prob of picking 1 p and 1 h.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 424123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -8*(-290)\/80*1068?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23a3210 (base 13) to base 10\nAnswer: -11060049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -463, -900, -1335, -1768, -2199, -2628, -3055?\n\"Answer: m**2 - 440*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 times 0.24158?\nAnswer: 25.84906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -88 + 0?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = p - 40, -3*p + 77 = 5*t + 9. Let c(i) = i + 6. Let d be c(-3). Suppose -96 = -d*v - v. What is the remainder when v is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.96 + -3. Suppose 2*q + 8 = 4*a, 5*q + 152*a = 157*a - 15. What is the nearest to 0 in q, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 5*g = 50, -4*g - 80 = 7*p - 11*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/27*-15)\/((-5)\/45*-3). Solve 28*g - 2*j = 27*g + o, j + 19 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34, -101, -200, -331, -494, -689, -916?\n\"Answer: -16*q**2 - 19*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*h**3*l**2 - 24*h**3*l - 2*h**3 - 1930*h**2*l**4 + 2*h*l - 5306*l wrt l?\nAnswer: -10*h**3 - 23160*h**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120.29 - 121. Let w = o + 0.709845. What is w rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2728778 (base 10) in base 5?\nAnswer: 1144310103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29687014, -29687013, -29687012, -29687011, -29687010, -29687009?\nAnswer: -29687008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q. Let z(l) = 80*l**2 - 55. Let f(u) = 3*u**2 - 2. Let j(w) = 55*f(w) - 2*z(w). What is j(k(v))?\nAnswer: 80*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -41. Let y(l) be the second derivative of l**3\/6 + 25*l**2\/2 - 134*l. Let h be y(d). What is the greatest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19683839*l**3 - 685*l**2 - 528*l + 1 wrt l?\nAnswer: -118103034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9488 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 12*s**2 - 37*s - 37. What is the least common multiple of 296 and y(-8)?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.65 and 0.00466.\nAnswer: 0.003029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 7. Let m = 20 - 6. Let c be m\/3 + 3\/9. Let t(z) = 1. Let u(n) = -4. Let a(o) = 15*t(o) + 3*u(o). Calculate c*a(i) + 2*y(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -566, -1091, -1598, -2081, -2534, -2951, -3326, -3653?\nAnswer: -3926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*k + 11*k - 14*k)*(2*k + 0*k + k).\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from {m: 2, u: 1, h: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 83*i - 404. Let m be b(5). Let u(c) = -2*c**3 - 17*c**2 - 5*c - 23. Let d(q) = q**3 + 6*q**2 + 2*q + 8. Calculate m*d(o) + 4*u(o).\nAnswer: 3*o**3 - 2*o**2 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -237 - -92. Let r = -937\/3 - -2687\/6. Let q = i + r. Find the common denominator of q and -127\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 plus -5.14?\nAnswer: -5.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 7. Let a(v) = -1083*v**2 + 9*v - 56. Give -a(s) - 8*h(s).\nAnswer: 1083*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 1 + 1)*(-3 + 2 - 1)*(5 + 6 - 2) to the form s + j*t and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 10:33 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11355360 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10747129, 21494258, 32241387?\nAnswer: 42988516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -8. Let p = 2 + u. Let n = 172\/3 - 58. Which is the nearest to n? (a) 0 (b) 1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -45, 126 in descending order.\nAnswer: 126, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1686*m - 13549 - 70879 - 70509 + 45347 for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 + 10*r**2 + 6*r + 4. Let s(y) = y**2 + 2*y + 1. Let h(u) = -f(u) + 2*s(u). Let i(c) = -c**3 + 3*c**2 + c + 1. Give -3*h(t) - 8*i(t).\nAnswer: 2*t**3 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.6049183 hours?\nAnswer: 0.1085382625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 3. Let m = 31 + -28. Let f be i(m). Let p(d) = -d + 19. Let t be p(f). What is t rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 - 71. Suppose -4*p + 3 = l - 6*l, 2*l - j = -3*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -13. Suppose 3*n - 15 = 5*x + 9, 5*x = -h. Let o(k) = -1 - 2*k**3 + k**n + 7*k**2 + 2*k - 2 - 4*k**2. Determine o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2937 + 2936.3. What is the smallest value in q, -15, 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + m = 31 + 5, 4*p = m + 28. Suppose -5*s - p = -4*o - 2, -3*o - 4*s + 20 = 0. Solve -15 = b - o*r, 4*b - r = -0*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35 and -313.23.\nAnswer: 10963.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 3*s - 1. Let k(q) be the first derivative of 2*q**3 + 8*q**2 + 4*q + 850. Calculate -2*k(o) - 11*v(o).\nAnswer: -o**2 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 307*d + 622*d - 315*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1955 and 56\/1002133.\nAnswer: 5010665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -456, -1733, -4270, -8487, -14804?\nAnswer: -23641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 1 - 5*q**3 - 6*q + 4*q**3 + 8*q + 7*q**2. Let g(j) = j**3 - 4*j**2 - 2*j - 1. Let d(r) = -r + 2. Let h be d(7). Give h*g(v) - 4*t(v).\nAnswer: -v**3 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 10*z**2 - z. Let y be 23\/4 - (-4)\/16. Let u(b) = -11*b**2 - 1. Let f be (-3)\/(36\/(-46)) - 5\/(-30). Let j(s) = f*u(s) + y*m(s). Factor j(v).\nAnswer: -2*(v - 2)*(v - 1)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 2\/15, 1.4, 5\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 + 510\/(-3))*(-13 - 9).\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665070 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22.7 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzvvlzlvllljl. What is prob of picking 1 l and 1 z?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -2\/29 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 584. Let k(t) = -74*t**2. Give r(k(i)).\nAnswer: 74*i**2 + 584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 18. Solve 0 = 4*a - i + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 1\/3*q**3 + q**2 - 1\/60*q**5 + 0 + 1\/120*q**6 + 0*q - 1\/6*q**4. Calculate w(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241744, 485736, 729728, 973720?\nAnswer: 1217712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 344 + -348. Let o = -0.89 - -0.09. Let i = o + 1.8. What is the nearest to -0.1 in 0.3, j, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.5 (c) -2\/5 (d) -2\/3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113386?\nAnswer: 2, 7, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7919314 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 6*x - 40 = 0. Factor -4 + 6 - 7*s**2 + x*s + 0*s**2.\nAnswer: -(s - 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/8419 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15681 - 2*q + 15672 - 31343.\nAnswer: -2*q + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.747 + 0.047. Let z = -10.7 - t. Which is the third biggest value? (a) -3 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17\/4, 54\/5, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91199873?\nAnswer: 91199873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5681585, 11363172, 17044759, 22726346?\nAnswer: 28407933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2 + 2*q. Let m(h) = -21*h**2 - 9*h. Suppose 0 = -u - 0*u + 26. What is u*k(z) + 6*m(z)?\nAnswer: 4*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + z)*(-z**3 + 2*z**3 + 0*z**3) + 1718 - 1718 + 46*z**4.\nAnswer: 44*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-2 - -7) + (-3 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/((sqrt(30)*2)\/sqrt(3)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, 1, 0, -12575 in increasing order.\nAnswer: -12575, -162, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1958803*m - 1958777*m - 1014 = 0 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737029 bigger than 1737043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3\/1204 (c) -1\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3\/(q\/(q*q**(-4))))**5*((q\/(q*q\/q**1*q)*q)\/(q\/((q*q**(2\/17))\/q)*q*q))**(-41) assuming q is positive.\nAnswer: q**(1924\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 3828, -4, 0.2?\nAnswer: 3828","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -106, -145, -168, -169, -142, -81?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m - 43. Calculate the smallest common multiple of (3 - 1\/(3\/24))*(1 + -2) and l(23).\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/198 and 67\/5115.\nAnswer: 30690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1172*b**2. Let k(z) = 3*z + 32425. What is k(h(p))?\nAnswer: 3516*p**2 + 32425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 2*y + 5*v, 161*y + 4 = 166*y - 6*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2021259548670+0.3\nAnswer: -2021259548669.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2503030?\nAnswer: 2, 5, 43, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 9*x - 9 - 12*x**2 - 21*x - 9*x = 0.\nAnswer: -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 2001?\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 419 + -422. Does 59 divide (0 - -1) + (x - (-6 + -1042))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-5) + (402\/30 - 8). Let c(d) be the second derivative of d**5\/20 - d**4\/3 - 4*d**3\/3 - d**2\/2 - 3*d. What is c(q)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/7 - 474*m\/7 + 68 = 0. What is m?\nAnswer: -238, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 134565 to the power of 1\/2, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 11*k**2 + 3*k**3 + k**3 - 2*k + 0*k**3 - 12 - 3*k**3. Let i be x(-11). Solve -u + i = -3*b - 0*u, -4*u = -b - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6617, -13455, -20415, -27497, -34701, -42027?\n\"Answer: -61*g**2 - 6655*g + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/2, -0.05, -5\/4, -6\/173, -7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(4\/13))*h)\/(h*h*h**(2\/13)))\/(h**(-1\/3))**36 assuming h is positive.\nAnswer: h**(137\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g + 11. Calculate t(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 53*q - 4561. Determine i(-46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -787207918 divided by 2\nAnswer: -393603959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d + 2. Let t be -4 + 4 + (1 - -2). Suppose 0 = t*v + 1 + 17. Let s(r) = r. What is v*s(k) + p(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -303522934*p**4 + 430343932*p.\nAnswer: -3642275208*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 - 83. What is the units digit of (-14 + 52)*29\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131307573643.2 - -131307547696.33680077. Let n = x + 25945.3632. Let z = 1.5 + n. What is z rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2. Let z(j) = -6932*j. Give z(c(o)).\nAnswer: 6932*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 - -97. Let a(u) = 14*u - 8*u - 7*u + 142*u**2 - l. What are the prime factors of a(-1)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37034 is divided by 197?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -3\/2*q**2 + 0*q**5 + 0*q**4 + 3 + 1\/3*q**6 + 0*q + 0*q**3. What is the second derivative of h(z) wrt z?\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-5 - 1 - (10 - (-6 + 28))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, u: 7, s: 3}. What is prob of picking 2 v?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1744, -9, -355 in increasing order.\nAnswer: -1744, -355, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0 = -15. Suppose 4*i - i - 60 = -3*l, -b*i + 41 = 2*l. Solve -3*j = 4 - l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 0.04, -27354.22?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -43*g - 188 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 4154?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, i: 6, q: 3, j: 4, u: 3}. What is prob of sequence iij?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1072 = 3*t. What is the highest common divisor of 32 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t + 3*t + t)*(163*t + 174*t - 371*t) + 2 - 2 - t**2 + (2*t + 0*t - 3*t)*(4 - 1 - 2)*(3 + 3*t - 3) to the form p + n*t**2 + o*t and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: -1b60 (base 12) to base 5\nAnswer: -102014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/13 in -2, 1, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1325 = -231. Let r = 546 + l. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 598, 593, 578, 547, 494, 413, 298?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25741384, 25741362, 25741320, 25741252, 25741152?\nAnswer: 25741014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/24*(-7472078 + (-6)\/3 - -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 259753.4mm?\nAnswer: 259753400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Let m = 4 - z. Let j = m + -2. Solve j = 5*s - 4*k - 17, -k = s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113891121*p**2 - p - 17564292 wrt p.\nAnswer: 227782242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2139965 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(171) - ((-1*sqrt(152))\/sqrt(8) + sqrt(19)))*5.\nAnswer: -15 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p + 3*p)*(-3 - 2*p + 3).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.9, 5, 2 in increasing order.\nAnswer: -1.9, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 4) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24869 divided by -68.\nAnswer: -24869\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2 + 118471*i - 2605878 = 0 for i.\nAnswer: 22, 118449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 0)\/2*1. Suppose m = 4*o - o - 45. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 2 + -3 + -5)**2.\nAnswer: -144*sqrt(7) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 - 59*q**2\/2 + 119*q\/4.\nAnswer: -q*(q - 1)*(q + 119)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-7)*(2 - 3). Suppose 14 = 2*u - z*u. Let y = 9 - u. Is y less than 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6260 and 51808?\nAnswer: 81079520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -u - 0*u. Let f(d) = 5 - 6 - 3*d**u + 2*d + 0*d - 3. Let l(t) = 4*t**2 - 3*t + 5. Let k(v) = 3*f(v) + 2*l(v). Differentiate k(h) wrt h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*1050 - 0\/5. Suppose -4*j - y = -9*j. Round j to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -7. Suppose -3*m - 2*d = -305, -m - 4*m + 5*d + 525 = 0. Let i = o + m. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2873, 1744, 6361, 10978, 15595?\nAnswer: 20212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 955769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*o + 63 = -o, -2*z + 5*o = -70. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqno?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + i - i**3 + 0*i + 6. Let f(n) = n**2 - 10*n + 10. Let w be f(8). Let b(j) = j**3 - j - 7. Let d(q) = w*l(q) - 5*b(q). What is d(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*o**2 + 81*o**2 + 94*o**2.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 177099 in decreasing order.\nAnswer: 177099, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42160507601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4330 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3745 - -3747. Solve 12*o = l + 70 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 11*j**2 - 11*j - 11. Let x(b) = b**2 + b + 1. Let k(z) = -17*z - 6. Let g be k(-4). Suppose 2*n = -g + 18. Determine n*x(o) - 2*d(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 3*j**2 + j + 1. Let p be a(2). Let x be (p\/(-2))\/((-11)\/(-88)). Is x\/6 + (-1842)\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2717707290 to the nearest integer?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 29, 0, 2.\nAnswer: -1, 0, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3850083.\nAnswer: 3, 427787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 2 + 4 = 0. Does 16 divide v\/((14\/(-32))\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5 - 1461*q**4 - 4365*q**3 - 4359*q**2 - 1452*q = 0. What is q?\nAnswer: -484, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3781 and 683259.\nAnswer: 135968541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + c**2 - 1. Let y(o) = -3*o**3 - o**2 - 2*o - 3. Let v(s) = 2*u(s) - y(s). Give v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(9)\/(-1*(sqrt(3) + sqrt(27) + sqrt(3) + sqrt(3))) + (1 + sqrt(27))*2.\nAnswer: 6 + 35*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -819*g**3 + 2*g**2 + g - 2. Calculate l(-1).\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-10))\/((-6)\/(-3)). Let b = 0.36 + -0.4. Let v = b + 2.04. Sort -4, v, g in decreasing order.\nAnswer: v, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -186, -161, -136, -111, -86, -61?\n\"Answer: 25*i - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35659279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3921*x**2 + 7849*x**2 - 3897*x**2.\nAnswer: 31*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(-n**2 + 0*n**2 + 0*n**2) + 5*n**2 + 6*n**2 + n**2 + (-n + 2*n - 2*n)*(2*n + 0*n + n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + c = 57450002, -5*p - 24937297 = -c + 70812705. Round p to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 262930.02 months?\nAnswer: 21.910835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14163 is divided by 99.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 537506 - 3218089\/6. Let f = -1146 + z. Find the common denominator of 97\/8 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 53. Let a(o) = 63*o. What is d(a(h))?\nAnswer: -3969*h**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13360263821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 1. Let k(j) = -7*j + 2. Let c(m) = k(m) - 6*z(m). Is c(-12) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 13*v + 18. Give z(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -5, 0.3, 1\/17, -181 in increasing order.\nAnswer: -181, -5, 1\/17, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**4 - 2840*v**3 - 544170*v**2 - 36367760*v - 228872105 = 0. What is v?\nAnswer: -187, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 16 = j, -2*j + 2*b = -4*j + 8. Suppose 0 = -4*n - 5*v + 3*v - 10, -3*n - 3*v - 15 = j. Solve -5*r + o + 15 = 35, 3*r - 5*o - 10 = n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 11:07 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 11:56 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 184 + 21. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4\/9 + 44*j**3\/9 + 40*j**2\/9 - 44*j\/9 - 14\/3 = 0.\nAnswer: -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 s, and 1 u when three letters picked without replacement from sususjsceuu?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -16 + 43 - 19 - 5*p**3 + p**2 + 68*p - 66*p - 11. Give c(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13628 and 250.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162 - -331\/2. Do 3 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -2, -1\/2, -21.618?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 1. Let u(b) = 15*b - 30. Suppose -2*k + 5*k = -18, 0 = 2*i + 2*k - 48. Give i*x(t) - u(t).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16519 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5915286 by 2974.\nAnswer: -1989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -551, 944, 3437, 6928, 11417?\n\"Answer: 499*v**2 - 2*v - 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*11\/308*(-94)\/(-1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-63)\/(-7))\/54)\/(((-232)\/(-192))\/29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u = 5*u + 108 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 7*a**6\/30 + 4*a**4\/3 - 1809*a**2\/2 + 5*a + 4. What is the derivative of l(g) wrt g?\nAnswer: 28*g**3 + 32*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9820 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5411544437 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -40210?\nAnswer: -40143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -103, -131, -159, -187, -215?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 227164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -43\/667 (c) 0.2 (d) 11 (e) 0.5 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 2. Let w = 143.91 - 149.863. Let z = s + w. Round z to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.00844, -7, -1\/4, 2\/3 in decreasing order.\nAnswer: 2\/3, -0.00844, -0.2, -1\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*u - 103, -50 = 2*k + 2*u - 0*u. Let c = 34 + k. Suppose 5*o = -5*i, 2 = 4*o - 5*o. What is the remainder when c is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -469, -943, -1413, -1879, -2341?\n\"Answer: 2*x**2 - 480*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1487881460 divided by -13?\nAnswer: 114452420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*d + 93 = 0, -4 = -2*q + 5*d - 87. Let i = 4 - q. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 8:12 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -16*q + 2. Let t(h) = -h. Give -3*t(z) - x(z).\nAnswer: 19*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 392 or 396?\nAnswer: 392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-18)\/(-24))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 - 22177*q\/2 + 22175.\nAnswer: (q - 22175)*(q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6520741 centuries in months?\nAnswer: 782.48892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 639 divide 24413908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 - -212. Suppose v*p - 34 = 11*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*q = -76*q + 6415 + 6437. What is the greatest common factor of q and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(1 - -2) + 2. Let d be (4 - i)*21\/21. Suppose -2*m = v + d*m + 14, -3*m - 6 = 3*v. Which is the second smallest value? (a) v (b) -3 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2028)\/207 + (-92)\/69. Which is smaller: -12 or m?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6771 - -6770.9961099. Round k to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -198 - -361. Let s = 147 + -146. Which is bigger: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {w: 1, k: 2, m: 1, f: 1, r: 2, d: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/30)\/(-3)*13\/(-78)*-39.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from {k: 2, f: 1, m: 4, z: 2, h: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p. Let n(s) = 22 - 566*s - 11 - 11. Calculate n(t(b)).\nAnswer: 1698*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68828496.\nAnswer: 2, 3, 11, 61, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = -2*a. Let w(x) = -4 - x**2 + a*x - x + x. Suppose 0*q - 38*q = -190. Give w(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2392.134 millilitres in litres?\nAnswer: 2.392134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*s - 6*s - 160 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5 - 11*b**5 - 540*b + 305*b**2 + 140 - 85*b**4 + 265*b**3 - 70*b**3 = 0. What is b?\nAnswer: -7, -2, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Suppose -j*a = 5*z - 37, 2*z = a - 7 + 1. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3089?\nAnswer: 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5456*g**5 - 5150*g + 1 wrt g?\nAnswer: -109120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44222731.\nAnswer: 7, 6317533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 110253, 220511, 330773, 441039, 551309, 661583, 771861?\n\"Answer: 2*j**2 + 110252*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12001210 (base 3) to base 11.\nAnswer: -2858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248164, -497891, -747614, -997333, -1247048, -1496759?\nAnswer: -1746466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 2*r - 8. Let n be v(4). Suppose 7*h + 2 = n. Solve 0 = -2*o - h*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601798 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -142?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(4 - 1) + 1323. Suppose 5*c - 414 = -n. Let m = -102 - c. What is the remainder when m is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = -27*r + 62 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 189385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w + 6 - 5 + 1 - 1 + 981*w**2.\nAnswer: 981*w**2 - 9*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -23*t - 1. Suppose -v - a - 3 = -0, -4*v = 3*a + 10. Calculate the least common multiple of 2\/(-9) - 220\/(-18) and d(v).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 79\/1112 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 4278 + 9002 = 0. Suppose 4148 = 12*r + s. Does 47 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9545800 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -400601\/151 + 2653. Is 1 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9866669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58004386*y**4 + 21620*y**2 + 2*y - 19.\nAnswer: -1392105264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 594 and 17874.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 1 - 1)*(0*h - h - h) + 3*h**2 - 52*h - 18*h**2 + 6 + 53*h.\nAnswer: -13*h**2 + h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 3:58 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -702\/5 or -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-six fifths of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 4023 + 70 + 164. List the prime factors of a.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3980, -15821, -35558, -63191, -98720?\n\"Answer: -3948*u**2 + 3*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 33*a**2 + 221*a - 7309. Calculate f(33).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -149*d + 73. Let n be p(2). What is the least common multiple of 15\/n*-10 + 2\/6 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-one halves of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3 + 10 - 4 + 12*v**3 - 2. Give r(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 8. Let t(q) be the first derivative of -2*q**5 + 4*q**r + 11 + q - 3*q**2 - q. Find the second derivative of t(c) wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 3*d**2 - d + 1. Let h be i(-3). Suppose 5*t + 280000 = h*t. What is t rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24\/67, -292, -3.\nAnswer: -292, -3, -24\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/14 + (-76)\/(-28). Let z be 7 - 1\/(3\/k). Let d(r) = 2*r**2 - 11*r + 3. Let u be d(9). What is the greatest common factor of u and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 25*o**2 + 16*o + 19. What is s(-13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g - d, 5*g - 6 = d + 9. Suppose -3*w + 184 = -0*w + g*n, -2*w + 2*n + 118 = 0. What is the highest common divisor of 510 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyyibibdzybbyi. Give prob of picking 1 i, 1 p, and 1 z.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 4*a - 5424. Is 1 + (a - (-5 + 1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26, -25, -24, -23, -22, -21?\n\"Answer: c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 7*r**2 - 44*r - 2. Let w(s) = s**3 + 8*s**2 - 58*s - 2. Let g(o) = 4*c(o) - 3*w(o). What is g(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -12011221102100?\nAnswer: -12011221102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1559031.\nAnswer: -1\/519677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**4\/12 - 3*s**3\/2 - 4*s**2 + 27*s. Suppose -8 = 8*p - 7*p. Let y be h(p). Let j(n) = -n**3 + 18. Give j(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 778 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5 + 66*f**4 - 468*f**3 + 64*f**2 + 2496*f = 0. Calculate f.\nAnswer: -39, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p + 24. Let o(h) = -62*h**2 - 378. Calculate o(q(n)).\nAnswer: -3038*n**2 + 20832*n - 36090","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112.966kg to tonnes.\nAnswer: 1.112966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 8*p - 4. Suppose 3*u - u + 3 = -3*g, -24 = 4*g - 4*u. Let h = -3 + 4. Let s be h\/((g\/(-15))\/1). Determine r(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -312, -1397, -4034, -8997, -17060, -28997?\n\"Answer: -129*b**3 - 2*b**2 - 176*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11994, -23176, -32736, -39864, -43750?\n\"Answer: 135*n**3 + n**2 - 12130*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.058 - 1.058. What is the closest to -2\/3 in -4, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.496 to 1 decimal place.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 21. Let v = -5 + 11. What is the smallest common multiple of w and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 - -104. Solve c*d + 8 = 6*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 56, 88, 108, 110, 88, 36, -52, -182?\n\"Answer: -j**3 + 39*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7474627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 8*z**2 - 6*z + 9. Let w be u(-4). Let m = w - 31. Suppose -v - 3*v = m*q - 260, 0 = -2*v + 2*q + 142. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5168b7 (base 13) in base 9?\nAnswer: 3514818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 10:49 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**2 + 15*q**2 - 31*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59702069 rounded to the nearest 1000000?\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(245) + (sqrt(245) + 0 - sqrt(245)) + 4)**2 + -1 - ((sqrt(245) + (sqrt(245) - (2 + sqrt(245))) + -3)*-3)**2)*-6.\nAnswer: -8232*sqrt(5) + 26040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 151\/4, 0, 50?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(768) + (sqrt(72)\/(sqrt(6) - sqrt(6)*4) + sqrt(12))**2) + 2.\nAnswer: -48*sqrt(3) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 301 - 193. Let a be u\/30 - (-3)\/(-5). Solve 16 + 2 = 5*v - 4*c, -2 = -4*v - a*c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 6:41 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x - 8*x - x**3 - 52 + 5*x**2 + 50. What is the units digit of i(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17731)\/(-447)*(-8)\/(-56)?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/1599220 and 47\/91384.\nAnswer: 3198440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 + 13*y. Let d be -1 - (-10)\/4*4. Let n(q) be the first derivative of -q**3\/3 + 3*q**2\/2 + 1. What is d*n(p) - 2*z(p)?\nAnswer: -p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 10 = j. Let x(h) = 2*h + 4. Let r be x(j). Suppose -6*q - r = -2*q + b, -3*q = -3*b - 9. Let o(a) = 16*a**3 + 2*a**2 + 2*a + 1. Give o(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.0465 times 3755\nAnswer: 30214.6075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + (sqrt(156) - sqrt(156)*-2)*-4)\/sqrt(12) + (-5 + sqrt(1872) + 1)**2 + sqrt(1872).\nAnswer: -95*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12a64b + 1?\nAnswer: 12a650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 72 - 36 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t + 9. Let a(s) = -5*s - 6. Let k(n) = -6*a(n) - 4*v(n). Suppose -16 = -4*l - 0. Let z(h) = -7*h**2 + 3 + 1 - l. Calculate z(k(w)).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4582.6 - 4583. Which is the nearest to 1? (a) -0.09 (b) -1.2 (c) -5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h - 120. Let y be o(-27). Solve y*p = 14*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 4*d - d)*(796*d**3 + 1001*d**2 - 1001*d**2) - d**4 + 0*d**4 + 3*d**4 + (2*d**2 - 3*d**2 - d**2)*(0*d**2 - 2*d**2 + 0*d**2).\nAnswer: 802*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - l**3 + l**5 + (-2*l**2 - 2*l**3 + 2*l**2)*(-1 - l**2 + 1) + 11882*l + 11*l**5 - 6*l**5 - 11859*l.\nAnswer: 8*l**5 + 23*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19255822.\nAnswer: 2, 151, 63761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -926 + 928. Calculate the least common multiple of 32 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44378226?\nAnswer: 2, 3, 821819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -493.48.\nAnswer: 24.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 13*w\/2 - 169\/4.\nAnswer: -(w + 13)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 43*w - 12. Let m be l(21). Calculate the highest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.6693 - 0.0307. Let k = 24 + h. What is the second smallest value in -4, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-12)\/(-72)*2)\/(2\/18))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1490 - -3820. Is 37 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 6*r**2 - 9 - 4 - 9*r + 4*r**2. Let d be z(-6). Suppose 3*m - 5*m - 10 = 0, -m + 60 = d*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/5)*h*h)\/(h*h**(-3\/4))*h**(3\/2)*(h*h**(4\/7)\/h)\/h assuming h is positive.\nAnswer: h**(311\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 times -34?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23496905*b - 120520397 wrt b?\nAnswer: -23496905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23664 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:04 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2\/361, -15, 5, -3, 2\/7.\nAnswer: -15, -3, 2\/361, 2\/7, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -5341031325?\nAnswer: 5341031320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 28\/19250*-11*-1*5\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081075979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**8\/840 - d**7\/210 - d**6\/36 + d**5\/10 + 20*d**3\/3 - 2*d + 29. Let x(u) be the third derivative of a(u). Solve x(h) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (4 + -7 - 10) + 18 + 2\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29610 + -236. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-70))\/((-4)\/(-10))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 6*p**2 + 10*p + p**3 - 12*p. Give f(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*sqrt(114)*2*4)\/(sqrt(54) + sqrt(378)\/(sqrt(21)\/sqrt(3))).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 9:55 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**3 - 1\/3*l**2 + 1\/6*l**4 - 1\/2*l + 1\/6 - 1\/2*l**5 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 508*s**2 + 547*s**2 + 27*s**2 + 86*s**2. Let u(j) = 2*j**2. What is u(c(k))?\nAnswer: 2728448*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2 = 18, 4*g - 5*s = 448. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131566 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4aae9 + -3b?\nAnswer: -4ab24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 241218a (base 11) to base 2\nAnswer: 10000000010100100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-2))\/(87\/18))\/(2\/((-16)\/6)).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 277779523*b**2 + 78510129*b?\nAnswer: 555559046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35 + -5?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 - 5 + 4 - 2 + 1 + 2*j in the form w*j + v*j**3 + n*j**2 + c and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8821 - 6174. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73622*f**4 + 28*f + 200.\nAnswer: -883464*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3 - 1 + y - y**3 - 3*y**2 - 2. Let j(v) = -2*v + 7. Let s be j(5). Let c be d(s). Which is smaller: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -474*l + 479*l + 3*q, -4 = -l - q. Let s(g) = -g + 9. Let b be s(14). Sort 47, 3, l, b.\nAnswer: b, l, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/21 and 13\/56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f (base 16) to base 8.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Let g be (-1 + (-22)\/(-28))\/(4\/(-10)). Let q = g + 9\/28. Which is greater: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + ((sqrt(5) + 0)*2)**2 + sqrt(720)*3.\nAnswer: 20 + 37*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1361 + 8728. What are the prime factors of m?\nAnswer: 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-63)\/(-15))\/7 - (-486)\/15 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 255*d - 530.\nAnswer: 5*(d - 2)*(d + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - z + 81, -20 = -2*u + 2*z + 42. Differentiate 4 + 12 + u*i**2 - 15 wrt i.\nAnswer: 56*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + y + 10. Give f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 2 - 2*p**3 - 2 - 3*p**4 + (-p**2 + p**2 + p**2)*(0*p + 3*p**2 + 0*p) - 3*p + p**4 + 3*p.\nAnswer: p**4 - 2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (2 - -1) - 18. Let z be 3\/2*24\/d. Let c(n) = -n**2 + 9*n. Let t(o) = -2*o**2 + 14*o. Let b(g) = -8*c(g) + 5*t(g). Give b(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*k = -448 + 2108 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppappppppppp. Give prob of sequence ppp.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + -129 - (-51 - -6) - (108 + (-1 - -1))?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 3*u**2 + 3*u - 2. Determine d(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**3 - 10*b**2 + 9*b + 9. Let h(y) = -9*y**3 + 20*y**2 - 17*y - 18. Let q(p) = 4*h(p) + 7*s(p). Is q(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 15. Let q be p(-17). Calculate the greatest common factor of q and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:36 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*x = -6*q - 5, -4*x - 16 = 0. Suppose q*i - 2*y = -i - 66, -3*i - 3*y = 27. Let c = i - -23. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**3 - 4*m - 13*m**3 + 19*m**2 - 4 - 8*m**3.\nAnswer: -2*m**3 + 19*m**2 - 4*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:30 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7.93 or -4.096?\nAnswer: 7.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1050, 1066, 1082?\nAnswer: 1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/1 + 12*4875\/8000?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(6776)*-2 + -1*sqrt(504))\/(-2*(sqrt(80) - (sqrt(80) + (sqrt(80) + -3*sqrt(80) - sqrt(80))))\/sqrt(10)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5025 + 5036. Solve 52*i - u*i = 123 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 5*k = 0. Suppose k*v - 5 = 3*v + 4*i, -4*i = 4*v. Suppose -2*u + 392 = v*c, -c - 579 = -3*u - 4*c. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1 + 1 - 2*w. Let o(i) = i**2 + 3. Let s(q) = q**2 + 4. Let p(v) = -6*o(v) + 5*s(v). Let a(r) be the first derivative of p(r). What is a(k(c))?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (13 + -17)) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.7 - -2.2. Let u = -6 - y. Let j = 2 + 0. Sort j, u, 0.1.\nAnswer: 0.1, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 5*u**3 + 19*u + 3. Let a = -637 - -649. Is q(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 5. Let w be -14 + 1666\/153 - 1\/(-9). Are a and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpz when three letters picked without replacement from {z: 3, p: 2, l: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0. Let n be ((-4)\/(-6))\/((-11 + 160\/15)*-2). Solve -l - n = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1008) + -4 + 4*sqrt(1008) + -5*2*sqrt(1008)) + 0)**2.\nAnswer: 4320*sqrt(7) + 226944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137456, -549966, -1237476, -2199986?\nAnswer: -3437496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49645 is divided by 24821?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b, 9*i + 20 = 14*i + b. Suppose 7*r - 5*f - 3901 = 3*r, 3861 = i*r + 3*f. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**2 - 10827873*s = 0.\nAnswer: -3609291, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b - 8. Does b = -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.15723?\nAnswer: -0.078615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491066 - 132680 = 7791*r for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-6) - 12 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 + 7*k - 3. Let u be z(3). Suppose 0 = 5*t + 2*a - u*a - 25, -8 = -4*t - 4*a. Suppose -475 - 428 = -t*o. List the prime factors of o.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/64022409 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162*g**5 + 65647*g**3 + 2029*g**2 + 7502*g.\nAnswer: -9720*g**2 + 393882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.88 + 0.12. Let r = 0.65 + -0.45. Which is the nearest to o? (a) 0 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d**4 + 3*d - d**3 - d**3)*(5 + 4*d - 5).\nAnswer: 8*d**5 - 8*d**4 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from ywnnn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 9:45 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 294 - 172. Let q be ((-20)\/(-4))\/(-5)*1*143. Let t = m - q. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6120427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*g + 1392 = -66*g. Calculate the highest common factor of 29 and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 656 and 40.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-15) + 1)*3. Suppose -2*i + i = 2*r - 6, v*i = -5*r + 17. Let l(a) = 6*a + 0 - 5 - 8*a**2 + r + 1 + a**3. Calculate l(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -87. Let x be (u\/24)\/(2\/115199992). Suppose -5*n - x = -4*i - 6*n, -4*i - 3*n + 43199991 = 0. Round i to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.341544 - 1258\nAnswer: -1258.341544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, 78\/11, 0.1, 5 in ascending order.\nAnswer: -2\/27, 0.1, 5, 78\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/150102782 and -9\/10?\nAnswer: 750513910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 538.85 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) -5 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**4 - 140000*y**3 - 18529525*y**2 + 56568650*y - 37899120 = 0.\nAnswer: -27867, -136, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -751, -1536, -2319, -3100, -3879, -4656?\n\"Answer: d**2 - 788*d + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19546 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -6391760, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1222728511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 31*f**2 + 5*f - 2. Let u be n(31). Calculate the remainder when (17\/(u\/27))\/((-3)\/(-88)) is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1650*g**2 + 3305*g**2 + 4 - 1644*g**2 - 4.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -228608*g*s + 2312228*s with respect to g.\nAnswer: -228608*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8115076, 8115078, 8115080, 8115082, 8115084, 8115086?\nAnswer: 8115088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 501415 divided by 105?\nAnswer: 100283\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*b + 3078 = -24*b - 69*b for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**4\/12 + 2*s**3\/3 - 3*s. List the prime factors of i(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(102)\/(sqrt(6)\/sqrt(2)))\/((sqrt(56)\/sqrt(4))\/sqrt(7)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2350 - -2401. What is the remainder when i is divided by (3\/(-6))\/(1\/(-38))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**5\/10 - 3*y**4\/8 + y**3\/6 + 3*y**2\/4 - y - 372. Factor l(g).\nAnswer: (g - 2)*(g - 1)**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 28*c**2 - 233*c + 34. Calculate m(8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 - 11*l**2\/4.\nAnswer: -l**2*(l + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 16 = -27*z + 31*z, -2*z + c + 14 = 0. Let r(l) = 8*l - 1. Let v(d) = 16*d - 3. Give z*r(a) - 2*v(a).\nAnswer: 8*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258595718.\nAnswer: 2, 3, 209765953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -1140, -2890, -5430, -8760?\nAnswer: -12880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 7. Let w be (-36 + l)\/((-3)\/(-6)). Let v = -49 - w. Put 2, v, -8 in descending order.\nAnswer: v, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u = -5*u - 17897. Let r = u + -105757\/65. Which is smaller: r or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 = -x - 180 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*1*sqrt(91) - 4*-1*sqrt(91))*6)\/(-3*sqrt(28)\/(sqrt(4) - (sqrt(36)*-2 - sqrt(36)))))**2 + 3.\nAnswer: 187203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 25*j + 139. Give a(13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1527*c**3 - 14 wrt c.\nAnswer: 4581*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*p = 19 + 22, 20 = -4*p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15926207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 2\/7, -155, 480, -4 in increasing order.\nAnswer: -155, -4, 0.01, 2\/7, 480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637815 is divided by 74?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*n = 41*n + 450 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19019396*f + 19019396*f + f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 213*s**2 + 7 - 214*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 1\/4*k**5 + 82*k - 1\/42*k**7 + 1\/30*k**6 - 4\/3*k**3 + 0 - 2*k**2 - 1\/12*k**4. Factor c(h).\nAnswer: -(h - 2)**2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14053619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -237414 bigger than -237412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1. Let b(r) = -2*r**2 + 23*r - 10. Let x(f) = -b(f) + 3*z(f). Let w be x(11). Solve -2*k + w*p = 16, 0*k + 35 = -4*k + 5*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -94\/5 (c) 2\/5 (d) 19 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -400*n + 409*n + 99 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1262172670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 16\/(-6))\/6*(-60 + 63)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 238 = 3*b + 239, 4 = 4*b. Suppose x = n + 2*n. Let i = n - 18. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 44224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11334 + 147398\/13. Determine h so that -98\/13*h**5 + 56\/13*h**4 + 8\/13*h + 90\/13*h**3 + 0 - t*h**2 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 12*y**2 + 2*y**2)*(-2 + 2 + y) + (6*y - 2*y - 5*y)*(2*y**2 + 2*y**2 - 3*y**2).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 7*t + 2*k + 1286 = 0, 2*t - k = 514. Is (-1)\/(t\/(-51) - -5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 + 2*b**3 - 3*b**3 + (173*b - 55*b + 47*b)*(-b**2 + 0*b**2 + 3*b**2) to the form q*b**2 + s*b + z*b**3 + r and give z.\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -82, 1, -39, 5, -5 in ascending order.\nAnswer: -82, -39, -5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/31, 0.16, -863, -0.4 in ascending order.\nAnswer: -863, -0.4, 2\/31, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuut when four letters picked without replacement from ltltuuturt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -10 - 295\/50) + 24\/10\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = -0*q - 4*q - 5*s, 142 = -3*q + s. Let y = 96 + q. What is the remainder when y is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (12 + -6 - -5 - 23)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r + 1. Let y = -12 + 17. Which is the nearest to r? (a) 4 (b) y (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109*5692*((-145)\/20 + 7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzq when three letters picked without replacement from {o: 2, p: 2, z: 2, q: 3}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfcccccccf. What is prob of sequence cc?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 18 - 9\/3. Let j = r - -26. List the prime factors of j\/(-5)*-2*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 134*q - 543. What is r(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16974, -33975, -50976, -67977?\n\"Answer: -17001*o + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1099*p**3 + 11*p**2 + 9*p - 10. Let b be f(-10). What is b rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfqdfvdffvvffqf. What is prob of sequence ffv?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 22. Let i be m(7). Let s(h) = -3*h - 6. Let o be s(i). Is 61 - o\/((-12)\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 7*l - 8. Let s be a(8). Suppose 0 = -2*i + 2 - s. Does 17 divide i*(-28)\/8*-12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -779 + 783. Suppose n*s = 3*c - 7*c + 28, 4*s - 22 = -2*c. Solve p = 5*p + s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 71*d + 100. Is n(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/4 - 0) + 318\/212. Let o be 2\/(2 + 0 - (-4)\/j). Find the third derivative of m**4 - 308*m - 27*m**2 + 308*m - 15*m**o wrt m.\nAnswer: 24*m - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1630043401.\nAnswer: 7, 232863343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 135559248 divided by -84408\nAnswer: -1606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(1*(-3*sqrt(512) + 5))**2.\nAnswer: -9264 + 960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -94, -158, -240, -346, -482, -654?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -41. Let f(i) be the first derivative of 1\/2*i**2 - i**c - 2 + 0*i. Find the second derivative of f(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, 5, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-40 - (-3 - (-8 + -7 + 17)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -429 + 429. Suppose i = -3*k + 5*z + 1827, -10*k + 4*z = -8*k - 1216. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -18. Let l be y\/27 + (-2)\/9. Let t be 3 + -4 + (-5 - -1). Put l, t, 2 in decreasing order.\nAnswer: 2, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*c + 163 - 25 = 0, 5*c - 20 = 0. Let d be 3\/9 - f\/(-3). Let l = d + 34. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 223*h**3*u*v*x + 16*h**3*x - 5*h*u*v*x + 6*h*u*x + 6*h*x + v*x wrt v?\nAnswer: 223*h**3*u*x - 5*h*u*x + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*g + 5*c, 0 = 9*g - 10*g + 3*c + 10. Solve -2*x + 8 = 0, 6*l + 4 = 2*l + g*x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27814 = 18*u + 4324. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 2)*(-v - 3 + 3)*(2*v + 0*v - 5*v).\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 - 41. Suppose 0 = -7*m - b + 30. Let f be m*4\/18 - (-68396)\/6. Round f to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 6*c**2 - 5*c + 1. Let a be q(7). Suppose -15 - a = -5*h. What is the third derivative of -6*f + h*f - 3*f**6 + 10*f**2 wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - h**2 + 656*h - 1320. Give q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 8:27 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 3*i**2\/2 + i + 2. Suppose 11 + 7 = -5*h - t, 3*t - 38 = 8*h. Let z(c) = 8*c + 3. Give h*z(m) + 11*o(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -24. Let i(j) = -j**3 - 3*j**2 + j + 5. Let y be i(-3). Which is smaller: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.9 + 1.1. Let u = -12.52 + l. Let q = -0.52053 - u. Round q to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*92\/(-483)*15\/4*1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60733500?\nAnswer: 2, 3, 5, 19, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -12*l**2 - 75*l - 54. Give f(-4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*s - 456 = -217*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103321757 to the power of 1\/2, to the nearest integer?\nAnswer: 10165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6330 + -1533. Suppose 8*f = 21*f - u. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -11*w**7\/7 + w**4 + 300*w**3 - 247. What is the third derivative of m(p) wrt p?\nAnswer: -1320*p**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -34*f + 2991. Let j be s(88). Which is the third biggest value? (a) 5\/2 (b) j (c) 24 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1))**(2\/45)\/(r**2)**(4\/7) assuming r is positive.\nAnswer: r**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -143b76 + 0?\nAnswer: -143b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*c = -0 - 4, 7 = 2*b + 3*c. Let l be (77\/21 - 4)\/((-2)\/(-24)). Calculate the remainder when 36 is divided by b*-13*2\/l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/10)\/((-2)\/24). Let b be r\/4 + (-44)\/(-8). Suppose 2*c - b - 8 = -2*d, -4*d + c = -4. Solve 6 = -2*n + d*x - x, 16 = -4*n + x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 231 and -36271.1.\nAnswer: -36040.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -344403.\nAnswer: -2\/344403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8845\/55 - (-4)\/22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/(14\/72*(-9)\/(-6)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcctot. What is prob of sequence cd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46, -43, -18, 41, 146, 309, 542?\n\"Answer: 2*t**3 - t**2 - 8*t - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 854000?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19793, -19788, -19779, -19766, -19749?\nAnswer: -19728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 124 - 25 - 37 - 2*o**2 to the form h*o + x*o**2 + l and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36658 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*s + 22, -3*s = s - 5*b - 30. Calculate the remainder when s is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**4 - 269500*a**3 - 538988*a**2 - 269492*a = 0?\nAnswer: -67373, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2 (b) 2\/5 (c) -8903 (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(-116)*(0 + 1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {h: 10, s: 3, t: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1325920 (base 11) to base 12.\nAnswer: -926302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -244 + 246. Let c be (-4)\/(-14) + (-2)\/7. Let g(m) = 0 + 3 + 2*m + c*m + r*m. Calculate g(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.15236 + 2.55236. Let s = -0.07 - 4.93. Which is the smallest value? (a) -3 (b) s (c) z (d) 3\/79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3244768 and 3360.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -146562.\nAnswer: -4\/73281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + -561?\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 4*k**3\/9 - 4*k**2\/3 + 4*k\/3 + 12. Find z such that w(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4884 (base 9) to base 10\nAnswer: -3640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.11 + -9.79. What is p rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 + 0*n - n**3 + 1 - 3*n**2 + n. Let y(d) = d**3 - 4*d**2 - d - 2. Let x = 0 + 0. Let k = x + -1. What is k*y(w) - 2*f(w)?\nAnswer: w**3 + 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**2 + 7. Suppose 2*q = -2*q - 20. Let b be 37\/7 + 4\/(-14). Let g(h) = h**2 + 5 - 2*h**2 + b*h**2. Determine q*d(y) + 7*g(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3029 times -69007?\nAnswer: 209022203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/650 and -57\/12670.\nAnswer: 823550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 2) + 1 + 0 + (0 - 2) + -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 521912, 521913, 521914, 521915?\nAnswer: 521916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -215*w. Let m(r) be the third derivative of 0 + 82*r + 0*r**4 - 2*r**2 + 1\/60*r**5 + 0*r**3. Determine o(m(p)).\nAnswer: -215*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 8 - 24. Suppose d = h - 1. Find q, given that 4*q + 2*q**3 - 6*q**3 + 1 + 4*q**2 - h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(1089) - sqrt(1089)*4 - sqrt(1089)) + 2 + (-2*sqrt(68) + sqrt(68))\/sqrt(4).\nAnswer: -45*sqrt(17)\/44 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224198*c - 224043*c + 883 - 2898 = 0 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -339 divided by 2.\nAnswer: -339\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 2 + 3)*(0*b + b + 3*b)*(2 - 6 + 3)*(-167 - 165 + 172)*(-3 - 2 + 4) in the form c*b + o and give c.\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.09 - -9.99. Let o = 9 - d. Let p = -3.1 - -3. Which is the nearest to p? (a) 2\/13 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200212112 (base 3) to base 8.\nAnswer: -147603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175 and 150?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9292 or -9295?\nAnswer: -9295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0.06, -5, 0.4, -0.3, 2 in ascending order.\nAnswer: -5, -0.3, 0.06, 0.4, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 53076825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -290 - -257. Put -1\/3, -8, q in descending order.\nAnswer: -1\/3, -8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 11:51 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -22*h**3 + 1330*h**2 - 5378*h + 4. Give s(4).\nAnswer: -1636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*o - 2340, 0*o = j + o + 2370. Let z = j - -529759\/224. Let h = z + 591\/32032. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61\/8 in 0.07, -6, 0.5, -443, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -67*u**2. Let v(s) be the second derivative of -s**5\/40 + 2*s**3\/3 - s**2 + 143*s. Let i(w) be the second derivative of v(w). What is d(i(c))?\nAnswer: -603*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -3*z. Suppose -3*b - 4 + 13 = z. Suppose p - 195 = -4*i, 0 = -b*i + 3*p + 18 + 117. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11539590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwllwll. Give prob of picking 2 l.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v - 31*v - 120 = 0. Is v\/(75\/20) - -3105 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**14)\/d)\/(d**(-39)*d)*(d**(-1\/12))**(-43) assuming d is positive.\nAnswer: d**(331\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -0.3, 0.4, 2\/201?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(240))\/sqrt(5) + sqrt(48))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5348015 to the power of 1\/2, to the nearest integer?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 720 and 60.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (0 - -6055085) - (-4 + 3). Suppose 2*b = 48944911 + h. What is b rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104388641 divided by -2\nAnswer: -104388641\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1374.97834 - 1375. Round h to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 7:00 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40137? (a) 17 (b) 1\/6 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3095803*z**2 - 12725614*z wrt z.\nAnswer: 6191606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1600787 is divided by 228.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 10 = -4*n + 2*p, 0 = n + p - 6. Solve -4*q = -2*q + n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-5) + (-770)\/(-462))*(-50)\/260?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 8*f**2 - 15*f + 12. What is the remainder when c(-7) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 11:27 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168926 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 3, b: 3, a: 2, i: 3, p: 1}. Give prob of picking 1 i and 1 a.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 89.\nAnswer: 10\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 20 = 5*d, d = -2*t + 1 + 6. Let h(y) = -17*y**2 + 1. Give h(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 greater than or equal to 864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(720) + 5*-1*sqrt(720))\/sqrt(12))\/(-6*-1*sqrt(108)*-2))**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005970903 rounded to 7 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 5*l - 2. Let w be s(-4). Calculate the common denominator of -55\/6 and w*(-35)\/16 + -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 a when three letters picked without replacement from {v: 2, k: 2, y: 6, a: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -11. Let y be (16\/(-4) + u)*(2 + -8). Is (-4)\/6 - -10*2274\/y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(4\/7)*q)**35)**19\/(((q*q**(-1\/2)*q)\/(q*q**(-2\/3)))\/(q*(q*q**1\/q)\/q*q)**(-4\/19)) assuming q is positive.\nAnswer: q**(194759\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.384313 centuries in decades?\nAnswer: 3.84313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -4417\/57111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 624.5399 nanometers in millimeters?\nAnswer: 0.0006245399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*m + 7. Let a be 0 + (4 - 1) + 2. Suppose -s - 180 = -2*v - 49, a*s = -3*v + 164. Calculate the greatest common divisor of v and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5215 + 7888?\nAnswer: 2673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -3*b. What is the remainder when 5 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 7*g**2 + 3*g - 20. Let b be v(7). Suppose -2*q = -1 - 3, -a = -q + b. Solve 5*k + 3*u - 13 + 0 = 0, -k = u - a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 3*o**6\/40 - o**5\/60 + o**4\/24 + o**3\/2 + 15*o**2. Let q be u(4). What is the greatest common factor of q and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 256 - 256. Solve 0 = -5*c - n*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 26*s + 5 = 3*d, 0 = -2*d - s + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1298 - 1182. What is the highest common divisor of 87 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 14)*(2 - 2 + 9)*(-k**5 + 0*k**5 + 2*k**5) - 64*k**5 + 32*k**5 + 46*k**2 + 33*k**5.\nAnswer: -80*k**5 + 46*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*r + 5*r - 4*r + (1 - 3 + 1)*(-6*r + 3*r + 2*r).\nAnswer: 4*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.049137? (a) -2\/7 (b) -0.1 (c) -1 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*2\/(-1) + 6. Let f(v) = -2 + 0*v + 3 - 3*v + s*v. Calculate f(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/149 (b) -5 (c) -0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 + 98 = -160*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -0.01592294\nAnswer: -0.98407706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -550a17?\nAnswer: -550a1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 3:43 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 + -2 - -3) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, a: 4}. What is prob of picking 2 t and 1 a?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -648 + 648.4. Which is the third smallest value? (a) p (b) -3 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322d6 (base 14) in base 4?\nAnswer: 131213210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 minus 0.2?\nAnswer: -190.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from bzzzbb?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172102 and 296590?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 693 - 703. Let p = 2324\/27 - 86. Is p greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47923 rounded to two decimal places?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -831*s - 100582100 = -931*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24614496 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139226.22 months to years.\nAnswer: 11602.185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnggnggnnnnggnnn. What is prob of sequence ngn?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1714559 and 7546?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15351 is divided by 615.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.602849 meters in nanometers?\nAnswer: 6602849000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = -q + 3, -2*g + 5*q - 5 = 0. Let d(b) be the second derivative of b**5\/20 - b**4\/12 + b**3\/6 + 3*b**2 + 26*b. Give d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000211220 - 1221?\nAnswer: 1000202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126895*s**2 - 39*s + 15*s + 11*s + 253783*s**2 - 137*s - 126887*s**2.\nAnswer: s**2 - 150*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 87*g. Let b(n) be the third derivative of -n**6\/360 - 77*n**3\/3 + 3*n**2 - 9*n. Let o(w) be the first derivative of b(w). Determine o(r(h)).\nAnswer: -7569*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g - 246 = -3*n, -4*g + 3*n + 213 = 0. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 855, 6361, 21301, 50391, 98347, 169885, 269721, 402571?\n\"Answer: 786*c**3 + c**2 + c + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t + 3. Let p(u) = u + 1. Determine -d(q) + 5*p(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -33*m**3 + 212*m**2 + 68*m - 917. Give l(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(1 + sqrt(75)*1*6 - 4*(sqrt(75) + 1 + 1)**2) + 5.\nAnswer: -1885 - 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) 27\/11 (c) 0.4 (d) -3 (e) -0.5 (f) -208\/17 (g) 2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20551*b**2*j**3 + 3993*b**2*j*l**2 + 205*j**3*l**2 + 24*j**3*l wrt l.\nAnswer: 7986*b**2*j + 410*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 71 or 70?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1955549044?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*i + 64*i + 64*i + 3*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = 4*a - 111152. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 20*j + 66. Let d(f) = 4*f + 13. Let s(k) = 11*d(k) - 2*u(k). What is the units digit of s(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28280 - -678571\/24. Calculate the common denominator of 83\/10 and x.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (485\/(-15) + 5)*(-3)\/1?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-13)\/(-4))\/((-28)\/16)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135517 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 857, 3714, 8475, 15140, 23709, 34182?\nAnswer: 46559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + s + 5 = -3*i, 2*i + 10 = 4*s. Suppose 5*m - 5985 = -i*q, 21*q - 4*m = 16*q + 6030. What are the prime factors of q?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 582 + -563. Calculate the remainder when 1480 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 (base 10) in base 9?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 1)\/(-15 + 14)*8\/(-8). Solve q = 34*p - 39*p + 4*h + 16, -5*h - 20 = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 16) to base 2\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1537*i + 1536*i = -14118, i = 2*p - 9427. Calculate the highest common divisor of p and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159 + -227.78. Let f = 68 + w. What is f rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 2*i**3 + 28*i**3 - 24*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**2 + 7*g. Let c(j) = -3*j**2 - 25*j. Let l(k) = k**2 + 6*k. Let s(d) = -2*c(d) - 9*l(d). Determine 7*s(v) + 4*w(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0496 minus -637?\nAnswer: 636.9504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 32070, 7, -1, 4, 3, -5 in decreasing order.\nAnswer: 32070, 7, 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 4*o**3 - o**2 - 7*o**3 + o**3 to l*o**2 + z*o**3 + k*o + g and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 253 = -18*n. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {b: 3, k: 4, a: 1, i: 3, p: 2, o: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*o - 1123 - 516 = 1205 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 y when three letters picked without replacement from {c: 5, l: 1, j: 3, k: 1, v: 1, y: 2}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6286.9 + -6287. What is the closest to b in 3\/5, -16, -36?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 10*z - 12. Let j be p(10). Suppose 3*b - 68 = -b. Let r = j + b. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -120, -256, -392, -528, -664, -800?\n\"Answer: -136*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*a + 34. Let x = -20 + a. Calculate the greatest common factor of 154 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*q + 0 + 6 - 4)*(5*q**3 - 88*q + 88*q) to the form f*q**3 + j*q + v*q**4 + m + r*q**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 12:27 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 2*t**2 + 3*t + 2 + t**2 - 4*t**2. Let a = 38 + -24. What is the least common multiple of d(-6) and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -26*c - 5. Let m(i) = -i - 1. Calculate -f(p) + 5*m(p).\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3))**(2\/31)\/(m**(-2\/5)\/(m\/(m\/(m*m**(-2))*m))))**26 assuming m is positive.\nAnswer: m**(-19864\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 527092 divided by 283.\nAnswer: 527092\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2424 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 6629.\nAnswer: 52\/6629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/2 of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 274 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 315\/30*4\/7. Solve -b*j = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 37. Suppose 6*n = 2*n + 20. Let b(a) = a - 3. Let i be b(n). Solve -i*d = 2*d - 5*k - w, -14 = -5*d + k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 15*o + 9. Let l be s(-7). Differentiate -8*z**2 - z**l + 33 - 30 wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6560, 6905, 7456, 8207, 9152, 10285?\nAnswer: 11600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2816) - (-5*(-1*sqrt(2816) - sqrt(2816)) + sqrt(2816)))\/(6*sqrt(48)\/(sqrt(12)*-1))*6)**2.\nAnswer: 70400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6126432 divided by -3?\nAnswer: -2042144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 12210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 9. Calculate i(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 14 - -3) + -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*9\/3*-3. What is the greatest common factor of u and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1263490124?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4427 - 7662. Which is smaller: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 0.3 (b) -0.13 (c) -8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -37. Let d be 0\/((p - -2)*-1). Suppose -5*v - 3*a = -1988, a + 1 - 2 = d. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5805 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 415039085 to the power of 1\/3, to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 0. Let l(w) = -w**3 + 8*w**2 + w - 10. Let y be l(8). Let j be 12\/(-27)*(-3)\/y. Which is the nearest to j? (a) -4 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56728537 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2812766 years?\nAnswer: 0.02812766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Suppose 2*y - f - n*f = 26, y - 5*f = 25. Let h = -8 - -7.9. Which is the nearest to h? (a) -0.3 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115029275 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 31178, 31181, 31178, 31163, 31130, 31073, 30986, 30863?\n\"Answer: -u**3 + 3*u**2 + u + 31175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, d: 1, s: 1, o: 2}. What is prob of picking 3 o and 1 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750 is divided by 45.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35541*h**2 - 11847*h**2 - 4 + 7*h**3 - 11845*h**2 - 11849*h**2.\nAnswer: 7*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1977.4 and -0.8?\nAnswer: 1976.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyxiyssyiyxxi. Give prob of sequence ssi.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 155, 156, 157, 158, 159?\n\"Answer: y + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjf when four letters picked without replacement from tjyffdtydtfyfjyyhyj?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 61*q**5\/10 + 23*q**4\/24 - 32*q**3\/3 + 3*q**2 + 1. Let h be v(6). Round h to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Let c(u) = 4*u - 1. Let s be (1\/(-5))\/(3\/(-15)). Let v be c(s). Solve 0 = l + k*l - v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r - 4*r + 3*r - 5*r - r + 4*r + (-3 - 3 + 5)*(-3 + 2*r + 3) + 3*r - 1 + 1 - 17 + 106*r + 17)*(-r + 0*r - r) to the form j*r**2 + n + x*r and give j.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -86*u**5 + 6465 - 6465 + (-5*u**3 + u**3 + u**3)*(-3*u**2 + 2*u - 2*u) - 2*u**5 - u**5 + u**5.\nAnswer: -79*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 40011.14 nanometers?\nAnswer: 0.00000004001114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(1\/5)\/(20\/100). Find the second derivative of r**5 + 7*r - 14*r + 18*r**3 + 17 + 9*r + 0*r - h*r wrt r.\nAnswer: 20*r**3 + 108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 56098 - -23037?\nAnswer: 79135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422979656?\nAnswer: 2, 11, 4806587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/37 - (263520\/1332)\/40)\/(3\/(-24))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 371570 and 272315?\nAnswer: 39757990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*h**4*l - 375*h**3*l**3 + 5*h**3 - 4*h**2*l**2 + 5714*h*l**3 + 11*l**2 wrt h?\nAnswer: -120*h*l - 2250*l**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 = -4*i - 241 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -111201022 (base 3) to base 2\nAnswer: -10011100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 202 and 7?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 0.022 (b) -2\/7 (c) 5\/6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 807 - 793. Let f be ((-366)\/(-12))\/((-3)\/(-6)). Let t = f - -63. What is the remainder when t is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 75. Calculate the greatest common divisor of b and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/3*(-132)\/(-21)*6\/(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -7. Let g be (3\/4)\/((-1)\/(-12)). Suppose y*c - g = 1. Solve -b = u + 6, -c*b + 4*u - 3 = -0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 5*l - 16, -5*h + 3*h + 4*l + 8 = 0. Let g(y) be the first derivative of -y**h - 4\/3*y**3 + 2*y + 2\/5*y**5 + y**2 + 1 + 1\/3*y**6. Factor g(u).\nAnswer: 2*(u - 1)**2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 9, p: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331182431?\nAnswer: 43, 7701917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-9)\/(-7))\/(-26 + (-21936)\/(-840)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - -646*3\/(-6). Let g = -874 - -375. Let v = w - g. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4533 (base 6) in base 2?\nAnswer: -10000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + (-176 + 163 - (-1 + -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*l + 13 = -239 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8\/47 - -9\/329. Which is the closest to 6\/5? (a) 1\/8 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 33\/9 - (-7)\/(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -1\/4 (b) 1\/115 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = v - 412 - 508, -4*h = -v + 914. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**2 + 15*o - 7. Let a(k) = 3*k**2 + 7*k - 3. Let i(y) = -7*a(y) + 3*f(y). Find the second derivative of i(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17690, -70640, -158820, -282230, -440870, -634740, -863840?\nAnswer: -1128170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.5, 10, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*s - 4. Suppose -4*l + 4*z + z = -136, -47 = -l - s*z. What are the prime factors of l?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -95730826.5 to the nearest 1000.\nAnswer: -95731000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 + 105*q**2 + 47*q - 255. Determine r(-52).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 139, 195, 239, 265, 267?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164896*j**2*o*t**2 - j**2*t**2 - 1989*j**2*t + 5*j*t + o*t**2 + 1 wrt o.\nAnswer: -164896*j**2*t**2 + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + 38*l - 11. Give v(-15).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 13.3.\nAnswer: 2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3330*v. Let j(i) = -32*i. Determine j(z(y)).\nAnswer: -106560*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -344.93 + 343. Let w = o + -0.07. Suppose -7*s + 5 + 2 = 0. What is the nearest to w in s, 0.4, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**3 - 7*r**2 + 13*r - 16. Let q(p) = -p**3 + p**2 - 2*p. Let b(s) = -d(s) - 6*q(s). Give b(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3. Let y be (-36)\/(-21) + (1 - (-15)\/(-21)). Solve y*z = f*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 407 = 2*p - 4281, 2*p - 5*h - 3890 = 0. Solve p*w = 1937*w - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2 - 2*z + 0*z - 2948*z**2 + 1175*z**2 - 410*z**2 - 693*z**2. Let p(g) = 3*g. Calculate w(p(x)).\nAnswer: -25884*x**2 - 6*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 7*m - 1. Let k be (1 - 3) + 6 - 37. Let a = 41 + k. What is the remainder when 47 is divided by d(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.7361 + 3.2361. Let u = 4 - 2. Put 0, -26, v, u in ascending order.\nAnswer: -26, 0, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - k = 5, -2*f - k - 20 = 3*f. Let v = -793\/4 + 198. What is the third smallest value in f, 5, v, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 5*p**2 + 19*p - 175. Let q be y(-17). Let n = 109659\/16 + q. Is n bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.3 + -12. Let b = m + 4.7. What is the third smallest value in 5\/4, b, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 + 657*a - 56*a**3 - 1 - 15*a**2 + 4*a**2 + 2*a**3 - 659*a to the form t*a**2 + l*a + o + d*a**3 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.43\nAnswer: 2.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69139\/27891 - -8\/3099. Find the common denominator of m and 11 - 22 - (-5 + (-4711)\/588).\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -771992059*w**3 - 10203*w**2 - 9003 wrt w.\nAnswer: -4631952354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d - d - 2*d + d - 6*d + d - d + 3*d - 3*d + (-2 + 0 + 0)*(3*d - d + 0*d) + 0*d + 4*d - 3*d - 3*d + 4*d - 2*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**3 - 747557*c**2 + c - 1961596 wrt c?\nAnswer: 18*c - 1495114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2105475 * -0.5\nAnswer: 1052737.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2*m)*(57 + 13 + 131) to k + b*m and give b.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 459 = -2*c, -s + 228 = c + s. Suppose -5*i + 226 = -c. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + (-1 - 2 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37235.32 - -37179. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 147?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/499?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*a - 41, -2*a - 5*i = -47 + 17. Suppose a*r - 13*r = -264. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 greater than -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -551847 or -551845?\nAnswer: -551845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*a + 2*q - 50, 0 = -3*q + 3. Let y be (-24)\/(-54) + 42\/a. Solve -3\/7*f**3 + 3\/7*f**5 + 0 + 0*f + 9\/7*f**4 - 9\/7*f**y = 0 for f.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**3 + 7160*t**2 - 2609*t - 529920. Determine b(-2387).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -15. Let i(p) = 16*p - r*p - 12*p - 4. Let y be i(-3). Sort y, -5, -4.\nAnswer: -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.04 (b) -0.1 (c) -3 (d) 80\/3 (e) 2\/19 (f) 1 (g) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 10:49 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Suppose 4 = 5*c - 21. Suppose 12 = -c*x + 11*x. Solve u + r = x*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l + l**2)*(-16*l - 15*l + 8*l).\nAnswer: -23*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138\/3709 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {f: 4, i: 1, s: 2, d: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 11) in base 5?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5626 - 375?\nAnswer: 5231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 4*y**2 - 3*y + 3. Let a be u(-3). Let l be 18\/(-4)*2\/a + -2. Let f be 25\/(-5)*36\/30. Are f and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, f: 1, r: 1, b: 1, s: 2, g: 1}. What is prob of sequence fgbk?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3 + 3*v + 1 + 1 + v**2 - 2*v. Let k(w) be the first derivative of -3*w + 3 - 5 + 1. Calculate k(q) - m(q).\nAnswer: -q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**5\/20 + 23*s**4\/12 + 23*s**3\/6 + 37*s**2\/2 - 139*s. Calculate the least common multiple of 135 and y(-22).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -26. Sort o, -4, -41 in increasing order.\nAnswer: -41, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3475392 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-17)*t*t**(-21))\/((t*(t**(13\/6)\/t)\/t)\/t**42))**(2\/65) assuming t is positive.\nAnswer: t**(23\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.88 + 1.781. Let y = q - -0.254. Let g = 0.045 + y. Which is the smallest value? (a) 0.5 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**4 + 4350*f**3 + 13080*f**2 + 13090*f + 4365 = 0 for f.\nAnswer: -1, 873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*f + 3*g - 173, -f - 8868 = -3*g - 8882 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137824684977248 - -0.2.\nAnswer: 137824684977248.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (15 + 59 - (-68 + 99))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 999460 and 462.\nAnswer: 2998380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198) + -2*sqrt(198))\/(-1*sqrt(2)*-2).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2 - v - v**2 + 2 + 0*v**2. Let z(d) = d**2 + 16*d + 7. What is the lowest common multiple of h(0) and z(-16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -264\nAnswer: 7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3112, 3079, 3046, 3013, 2980, 2947?\n\"Answer: -33*g + 3145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 1. Let t(n) = -8*n**2 - n + 2. Let p(f) = -3*o(f) - t(f). Let k(q) = 6*q**2 + 2*q + 2. Determine 3*k(j) - 4*p(j).\nAnswer: -2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9595 + -486517810.\nAnswer: -486527405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*l**2 + 15*l**3 + 19*l**3 + 19*l**3 wrt l?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 987 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 1:37 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, and 1 k when three letters picked without replacement from ylvdvdjkddkyyvk?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 419499*w - 12*w**3 + 0*w**2 - 14*w**3.\nAnswer: -26*w**3 + 419499*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/6 - 4*x**2\/3 + 7*x\/6 = 0 for x.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 m when four letters picked without replacement from mmhhmhmmmm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -47*w**2 - 6. Let u(c) = -320*c**2 - 40. Let p(f) = 40*s(f) - 6*u(f). Let o(h) = 54*h. Calculate o(p(b)).\nAnswer: 2160*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 10:08 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 560 and 852537.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1208, -2398, -3564, -4700, -5800, -6858, -7868?\nAnswer: -8824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -272 (base 10) to base 8\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*s = 0, 0*g + 4*s + 10 = -g. What is the smallest common multiple of g and 135\/20 + 12\/(-16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + -5 + (-1*(sqrt(612) + 1) - sqrt(612)) + -2*(sqrt(612) - sqrt(612)*1))*2.\nAnswer: -48*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/4 + 2\/1. Suppose -z*d + 30 = d. What are the prime factors of 4*d - (-6)\/(-6)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/3)\/(3\/9). Suppose j*h + 15 = 5*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**3 + k**2\/2 + k + 13. Let w be u(1). Suppose -5*r + o + 87 = -437, w*o + 20 = 0. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 3*q + 53. Calculate the remainder when 53 is divided by a(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66586 + 2?\nAnswer: -66584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i. Let b(s) = 32127*s**2 - 64155*s**2 + 32249*s**2 + 1. Give b(m(j)).\nAnswer: 5525*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*x - 10. Let b = x + 14. Let v(u) = 12*u. Let n be v(b). What is the greatest common divisor of 32 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 873537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o + 27*o - 5887*o**3.\nAnswer: -5887*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 + 95 + b + 4*b + 72.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -1\/10, 0, -83, 2\/13?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -21. Suppose 3*v = -l*f - 708, 4*v + 556 = -4*f - v. List the prime factors of f\/10*50\/(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 3. Let l be c(3). Let j be (-2 - -1) + l\/3. Let p(g) = g**3 - 4*g**2 + 2*g - 2. What is p(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10321 = -1242*l - 2410 - 4371 + 8880 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.25 + 0.05. Let n = -6.3 + 6. Which is the closest to n? (a) w (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 128937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + n - n + 14*n - 212*n + 195*n + 632 + (-1 - 2 + 1)*(-3 + 2*n + 3) in the form u + z*n and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -243*h + 255*h - 264. Let r(c) = 1. Let v(p) = -22*p + 22. Calculate h*r(m) - v(m).\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + n = 2*r + 1960, -5*r + 3263 = -2*n. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 11:05 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*j - 18424, -j - 5617 = 4*x - 24039. List the prime factors of x.\nAnswer: 3, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(300) - (sqrt(300)*-2)**2).\nAnswer: -1205 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8080063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010200201001 (base 3) to base 13.\nAnswer: 4649c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 679*l + 1453 = 1576 + 3272 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/55)\/(24\/15))\/(1303\/10424).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.617 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 2583300*k**3 - 36166641*k**2 - 126583758*k.\nAnswer: 3*k*(k - 861114)*(k + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**3\/5 - 7479*v**2\/5 - 14967*v\/5 - 1497 = 0?\nAnswer: -1, 2495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5711630?\nAnswer: 2, 5, 571163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -16, -15\/11, -1\/3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 2*c, 5*s + 4*s = 4*s - 670*c + 672*c - 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 24.4 and 0.4.\nAnswer: 24.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 284152 divided by 22?\nAnswer: 12916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:12 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*sqrt(800)*-3.\nAnswer: 1 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*j**2 - 7*j - 6*j**2 - 14*j**2 as q*j**2 + l*j + p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1514, 6070, 13668, 24308, 37990, 54714, 74480?\nAnswer: 97288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + (-9 - 0))\/(-2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 925, 3623, 8201, 14773, 23453, 34355?\n\"Answer: 19*f**3 + 826*f**2 + 87*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -6\/11, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 + 77*z - 31. Suppose 552 = -34*k - 332. Let n be l(k). Which is the closest to 0.1? (a) -20\/3 (b) n (c) -3\/5 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.15 (b) 5\/8 (c) 25 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 27*h - 5. List the prime factors of o(3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**3 + d**2 + 2*d + 1. Let s be j(-1). Suppose 4*k + 160 = g, 0 = -4*k - 24 + s. Let h = g - 113. What is the lowest common multiple of h and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -5. Let a be (-6)\/(-2)*(-96)\/36. Do a and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -1\/71, -1\/3, -3, 0.3?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1 = 5. Solve 4 = 5*j - m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3 + 7 - 4 + 18*y**2 - y - 5. Calculate x(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 77*w**2\/2 + 6*w - 158. Find the first derivative of h(k) wrt k.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9432774 divided by -38818?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2384, 2382, 2380?\n\"Answer: -2*j + 2386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5 + 3556*f**4\/3 + 40280*f**3\/3 - 226180*f**2\/3 + 238114*f\/3 - 18592 = 0. What is f?\nAnswer: -581, -16, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 6 = -27*t + 4*t. Let j(k) = -14*k + 13. Determine j(t).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - 5*l - 5. What is the smallest common multiple of 6*(-1 - 30\/(-18)) and k(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16106 and -0.4?\nAnswer: 16106.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.85904 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79330147940946\/701 + -113167086322. Let d = k + -1099452634219\/37727820. Let o = d + 1\/5980. What is the common denominator of 13\/14 and o?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66452, -66296, -66142, -65990?\nAnswer: -65840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2948118447?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5184*i**2 + 75 - 75.\nAnswer: 5184*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t + 1. Suppose -5*k + 61 = -u, -5*k = u - 6*k + 41. Calculate the remainder when p(2) is divided by u\/15*(4 - (-78)\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -8\/3*l**3 - 1\/3*l**6 + 4\/5*l**5 + 4*l + 4 - l**2 + l**4. Determine k, given that a(k) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/4 - 348375*f\/4 + 348369\/2.\nAnswer: 3*(f - 116123)*(f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**4\/3 + 440*f**3\/3 - 14342*f**2\/3 + 49696*f - 163968 = 0.\nAnswer: 8, 21, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**5\/24 - o**4\/12 + 2*o**3 + 16. Let y(z) be the third derivative of w(z). Let m(k) = 4*k + 1. Calculate -3*m(n) - 2*y(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, -37, -82, -145, -226, -325?\n\"Answer: -9*r**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:26 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p - 3*p + p**2 + 14*p + 13*p - 5*p - 12. Give u(-11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 212*o - 333*o**3 + 0*o**2 + 519*o**3 + o**2 + 485*o**3 - 2*o**2 wrt o?\nAnswer: 4026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**3*p**(9\/5)*(p\/(p\/p**(-6)*p))**(-1\/8))**(-11) assuming p is positive.\nAnswer: p**(-297\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x = y + 28*x - 8300, -8303 = -y + 3*x. What is the thousands digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/11501354 and 21\/5750677.\nAnswer: 11501354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-2))\/((-207)\/(-13800)*-20).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 4. Let d = 302 + -199. Let m = d - 107. What is the nearest to 0.1 in 5, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = -4*i + 1045. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 2:05 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjopuujq. What is prob of picking 1 m and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 10:32 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 143*t - 145*t + p - 7, -4*t - 3*p + 11 = 0. Sort -12, 4, t.\nAnswer: -12, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - -161. Let f = a + -128. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369954 and 8541.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*-12*10\/(-100).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*q = 2*d - 6, d - 2*q = 3. Let b(x) = -x**3 + 2*x**2 - x + 4. What is b(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + (-42 - -46 - -44)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-8)\/(-10)))\/((-46)\/(-92))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 7 = 4*r, 8 = 32*r - 34*r - 4*s. Which is smaller: r or -528?\nAnswer: -528","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 302, -3, -2 in increasing order.\nAnswer: -11, -3, -2, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73.9 - 13.9. Let d = b - 60.0125. What is d rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013100 (base 5) to base 8.\nAnswer: -40412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11089 + 0?\nAnswer: -11089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548.595 less than 261490?\nAnswer: 259941.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 2*t**2 - 7. Let l be v(-3). Suppose -3*z - 36 + 105 = -3*s, l*z - s - 43 = 0. Let j be (4 - 92\/z) + 1. Put -5, j, -2\/7 in ascending order.\nAnswer: -5, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13045494, 13045493, 13045492?\nAnswer: 13045491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -43.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 8*p + 11. Let i be m(-9). Solve -l + 10 = -i*a + 3, 3*l - a - 6 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -15 + 18 - -37 - (1 + 23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 + 52*r + 32. Calculate f(10).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1274 and 2743.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 1\/30*t**5 + 0*t**4 + 0*t**7 + 0*t**3 - 1\/112*t**8 + 0*t + 0 - 2*t**2 + 0*t**6. What is the third derivative of g(h) wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1622 - 1097. Let n = z + -444. What is the lowest common multiple of n and 54?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 5*n + 0*n + (-4 + 2 - 5)*(-12*n + 22*n - 20*n) + (-2 - 1 + 6)*(-5 + 4 + 2)*(2*n + 0*n - 1 + 0) in the form g*n + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 65*l + 1156. Calculate the remainder when c(58) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 340758?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4164*c = -5541*c + 11016 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 9*g + 5. Let i be b(-8). Put i, 0, 7 in descending order.\nAnswer: 7, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + -45126?\nAnswer: -45076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7757*x**2 + 3623*x**2 + 4014*x**2.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*w - 112767*c**3 + 256874*c**2*w wrt c.\nAnswer: -12*w - 676602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -9. Let g be ((-1125)\/b)\/(3\/(-456)). Round g to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121098 = -f + 5*w, -32*f - 363359 = -35*f + 2*w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 828784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5414372238 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -257*a**3 - 138*a**2 + 4*a - 4. Let o(z) = 770*z**3 + 415*z**2 - 14*z + 14. Let q(w) = -2*o(w) - 7*v(w). Find the third derivative of q(h) wrt h.\nAnswer: 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 406\/19 - 9179\/418. Let o be ((-2)\/6)\/(4\/(-50119)). Let q = o - 4171. Calculate the common denominator of a and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7. Let v(h) = -9*h + 9. Give -5*f(q) - 5*v(q).\nAnswer: 45*q - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5309548.\nAnswer: 2, 1327387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:09 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-6.6.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2277366*x**2 + 7*x + 68406726 wrt x.\nAnswer: -4554732*x + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 296704 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 20 = 5*s, -3*d - 2*s + 34 = -34. Let f = d + -16. Find q, given that 1\/3*q**f + 0*q + 0*q**2 - 1\/3*q**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 0*q + 2*q - 16, -5*w - 2*q = 4. Let o = 229 + -224. Sort w, o, 1.\nAnswer: w, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1479 + 160. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09 - -0.008. Let l = -945 - -945.09693. Let k = l - b. What is k rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49, 80, 111?\n\"Answer: 31*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3282 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**33*f**(-3\/44)*(f*f\/(f**(-10)*f*f))**(-1\/10))**(-1\/75) assuming f is positive.\nAnswer: f**(-281\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4194 + 814. What is the units digit of (-2)\/(-5) + u\/(-50)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72299535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 18794255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5 + 3*w - 2*w - 5. Let i be s(2). Let r(a) = 0*a**i - a**2 + 2*a**2. Let q(z) = z**2. Determine r(q(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1 = 9. Suppose 8*j - 3*j**x + 4*j**2 + 3*j**4 + 3*j**5 - 2*j - 4*j**2 - 9*j**3 = 0. Calculate j.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 7*j - 5*j = -2*l, 6*j + 10 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(33)\/sqrt(3) + -1 + 0.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 2 - 4) + 2. Let h be (m\/(-4))\/((-45)\/(-10)). Put -5, 0.4, h in descending order.\nAnswer: 0.4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25887, 25908, 25943, 25992, 26055?\nAnswer: 26132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 23252723?\nAnswer: 23252723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-18))\/((1\/(-169))\/(-1)). Suppose -z = 6*q - 409. Let x be q\/18 - 2 - 248\/144. Which is the third biggest value? (a) -0.1 (b) -7\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g + 17*g - 290. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 210 = -14*h. Let j be (-9)\/(-21) + 438\/h. Let a(w) = w**2 - 5*w - 10. Is 35 a factor of a(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154339036 divided by -38584759\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -2 - 7 - -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109432, 109354, 109278, 109204, 109132?\nAnswer: 109062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 9:38 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -w + 1. Let f be 42 + -3 + 0 + 1. Suppose -m = m - f. What is the least common multiple of m and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rssslssrslrsrsr. What is prob of sequence llrr?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008 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: Simplify ((w**15\/w)\/w)\/w*w**(-1\/7) assuming w is positive.\nAnswer: w**(83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 - (93 + 14 + -27 + 12)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1665301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 10:37 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 4*p + 9. Let x be d(-3). Suppose -x = -5*z + z. Let r(l) = l**2 - 2*l. Let h be r(-1). Solve u - s = z*s - 11, -u + h*s = 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 - 4. Let y(l) = -14*l**2 + 17*l + 12. Give -5*n(q) - y(q).\nAnswer: -q**2 - 17*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1086.1 - 1079.1. Sort -145, 0, 3, r in ascending order.\nAnswer: -145, 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-3 - 4 - 1)*(-14*z - 2*z + 27*z - 3).\nAnswer: 88*z - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*a + 38*a - 10*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) 2\/9 (c) 1 (d) 0.4 (e) 59.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 183046 = 3*v, 0 = 5*v - 373*u + 378*u - 305170. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7799 is divided by 71?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -175 + 181. Suppose 0 = -2*p - y, -p = -2*x + 3*p + 48. Calculate the greatest common factor of 42 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12986 - 623. Calculate the highest common divisor of r and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1328a83a3 - 4?\nAnswer: 1328a839b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r = -15*r - 20*r - 1925 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(1\/33))**1*((i**(1\/4)*i)\/i)**(1\/3)\/(i\/(i**(-1\/3)\/i)*i)**(-16\/7) assuming i is positive.\nAnswer: i**(7145\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -4 (c) -0.056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 7*n + 8. Let j be r(-8). Suppose -3*x - 4*x - 2023 = j. Let c be (-150)\/9*(-1 - x). What is c rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 514 in -1653, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7080369478 to the power of 1\/3, to the nearest integer?\nAnswer: 1920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 8*s**2 + 20*s + 8. Let r(x) = x**3 - 8*x**2 - 18*x - 8. Let g(b) = 5*r(b) + 4*z(b). Give g(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 0*r - 2*r)*(-3*r + 4*r - 3*r) + 3 - 3 - 5*r**2 to a + w*r + y*r**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11396 and 52.\nAnswer: 148148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 95796140\/380 + 5 - 2\/19. Round k to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*f - 2)*(-162*f - 151*f + 257*f) + 4 + f**2 - 4.\nAnswer: 225*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -110 + 111. Suppose -2*l - q - 2 - h = 0, -3*l = -5*q - 28. Which is the nearest to 1\/3? (a) -1 (b) 1\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*p = -158804 + 159036. Suppose -1\/4*j**p - 3*j - 11\/4 = 0. Calculate j.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-423) + (-5766826)\/213474.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4391 - 3.80169?\nAnswer: -4394.80169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49, 200, 453, 808?\n\"Answer: 51*c**2 - 2*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -1 + 3*y + 7 + 5*y - y**2. Let f be a(7). Suppose 3*j - 2*k - 12 - 1 = 0, 0 = 5*j + k - f. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10641077*j**3*q - 214*j**2*q - j**2 - 2*j*q + 2854*j + q - 5 wrt j.\nAnswer: 63846462*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 9*x - 6. Let t be a(-5). Suppose -98 - t = -2*q. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 70053939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.38582401 rounded to one decimal place?\nAnswer: 54.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. What is the second derivative of -12*v**4 - o*v + 0*v - 8*v + 3*v wrt v?\nAnswer: -144*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 131475*i**4 + 376490*i**2?\nAnswer: 3155400*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1271643.\nAnswer: 1\/423881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4050 and 90.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 5:00 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 - 5236640766093?\nAnswer: -5236640766025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -3*w**5\/20 - 104*w**2. Let l(v) = 343*v**2. Calculate -2*l(o) - 77*y(o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 e when four letters picked without replacement from eekkeeekeeeekeke?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g**4 - 4*g**3 - 9*g - 4. Let h(a) = -11*a**4 + 5*a**3 + 10*a + 5. Let d(s) = -5*b(s) - 4*h(s). Find the second derivative of d(k) wrt k.\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-30)\/(-5) + -4. Let n be c + 1 + (-2 - 1 - -4). Solve -2*t = -n*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.175, 1\/12, 1\/3, -0.1?\nAnswer: -0.175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52243, 104537, 156831, 209125?\n\"Answer: 52294*q - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/(m**(-2\/9)\/m)*m)))\/m**(1\/4))\/(m*m**(-2\/13)*m**(-3)*m) assuming m is positive.\nAnswer: m**(1931\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(11) + -5 + ((sqrt(891) - (sqrt(891)*3 - sqrt(891)))**2 + sqrt(891) - sqrt(891)).\nAnswer: sqrt(11) + 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1492 and 62766202?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = z - 61, -3*z - 77 = -2*u + 20. Suppose -4*p = -u - 12. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/(-35)*3\/6)\/(1\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + 1*sqrt(114)*-1 + sqrt(114) + (sqrt(114) + 4*sqrt(114))*-4)\/(-2*(sqrt(486) - sqrt(6)) + sqrt(54)\/(sqrt(9)*-6 + sqrt(9))).\nAnswer: 95*sqrt(19)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**4 - 845*t**3 - 26170*t**2 - 170080*t - 314400 = 0.\nAnswer: -131, -30, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3374*a**2 + 2. Let o(r) = -10120*r**2 - 6. Calculate 7*k(x) + 2*o(x).\nAnswer: 3378*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*t = p - 12, p + 4 = -t. Suppose a - 3*d + 20 + 22 = p, -5*d - 110 = 5*a. Let c = a + 44. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685488291.\nAnswer: 3, 228496097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 13. Let z(v) = 3*v**2 + 5*v - 37. Let p(j) = 2*u(j) - z(j). Let k(y) = -y**2 - y + 4. What is -11*k(g) + 4*p(g)?\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 2:30 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4686\/(-639))\/((24\/3)\/(-24))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 6. Let t be f(-2). Suppose -3*i + 294 = 2*z, 460 = 3*z + t*i - 9*i. What is the tens digit of z\/(-9)*12\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3 - 1156 + 929*o + 132*o**2 + 3*o**3 + 91*o = 0. Calculate o.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13988 and 8268?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7}. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/7)\/i)**(4\/13)\/(i**(-16)\/(i*i**(7\/6))))**29 assuming i is positive.\nAnswer: i**(284867\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -34*d + 67. Is s(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -2763?\nAnswer: 1105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -3764.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 0 (b) -4\/7 (c) -0.5 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 15 - (-19 - -27 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 43. Let o = 2 + 0. Let h = k + o. Which is greater: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8194 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 10:07 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(13) + sqrt(91)\/(sqrt(7)*2))*-1.\nAnswer: -3*sqrt(13)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -101 in 15, 0.4, 3, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 0 + o - 5*o - 3. Suppose 0 = 42*s - 35*s - 126. Suppose 10*r - 19*r = s. Calculate k(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 + 5*w**3 + w**3)*((0 + w + 0)*(-14 - 17 + 12) + 31*w + 4*w - 15*w - w - w - w).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from pvvmmvrmpwmmvpmvvmvy?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 283?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3415248 and 7\/41024.\nAnswer: 13660992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5)*b\/(b\/(b**(10\/3)*b)) assuming b is positive.\nAnswer: b**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 6346.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2999, 6118, 9237?\nAnswer: 12356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001177527 rounded to six dps?\nAnswer: -0.001178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6375*c - 13646. What is the ten thousands digit of z(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -231, -533, -965, -1533, -2243?\nAnswer: -3101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -230420 (base 5) to base 15\nAnswer: -2690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3073022 is divided by 82.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 0*u**2 - u**2 + (-2*u + 2*u + u)*(-7*u + 3*u + 2*u) - 3*u**2 + 5*u**2 - 3*u**2 + u**2 - 4*u**2 + 4*u**2 + 17*u + 35*u**2 - 66*u**2 + 33*u**2.\nAnswer: -u**2 + 17*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39895892*u**3 + 58298411?\nAnswer: -119687676*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*s + 26*s + 6. Suppose -m - 5*h + 6 = 0, h - 45 = -4*m - s. Solve -3*v - 4 = f, 5*f + 31 = -v + m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14413 and 994.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17411309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**4\/2 - 3*k. Suppose 12*f = -0*f + 1452. Let y(s) = 2*s - f + 121. Give y(l(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 352770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 237425338 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/12)\/m)**(-3\/8) assuming m is positive.\nAnswer: m**(11\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 12:35 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) - (sqrt(76)*4 + sqrt(76))*-1))*-1*-3)\/((sqrt(28) - sqrt(84)\/(sqrt(3)*-2 - sqrt(3)))\/(sqrt(7) + sqrt(28)\/(sqrt(20)\/sqrt(5)))).\nAnswer: -45*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2. Let f(v) = -v**2. Give -12*f(z) + 2*x(z).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 5*r**2 + 2*r + 3. Suppose -2 = -3*p - 11. Let q be (104\/(-12))\/((-2)\/p). Let h = q + 8. Determine s(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 31 = -l + 5*c, 27 = 4*l - 3*c. Let b(k) = 3 - l*k - 2*k + 7*k - 3*k. What is b(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -835 + 8381\/10. What is the common denominator of (1 - -1)\/((-99)\/(-225)) and y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millennium in decades?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -14*s**3 + s**2 - 44*s + 1. Is u(-6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 6)\/(12\/(-8)). List the prime factors of 92\/12 - y\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, q: 3, c: 3}. Give prob of picking 3 c and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 f, and 1 l when three letters picked without replacement from {s: 2, p: 1, f: 2, l: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 47310 = -4*v + 6*t, -2*v - 5*t + 23665 = 0. Is 124 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 3:21 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + j + 2. Let s(m) = -255*m**2 + 194*m + 8. Let c(q) = s(q) - 4*y(q). Find the second derivative of c(i) wrt i.\nAnswer: -518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1782208.1 to the nearest one thousand.\nAnswer: -1782000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 3 + 0*i + 3\/4*i**2 + 15\/4*i**3. Find z such that n(z) = 0.\nAnswer: -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + 8 + (36 - (47 + -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 - -146. Suppose -2*n + 2 = -4. Find the second derivative of -2*g + 0*g - 7*g**3 + 0*g**n - g**q wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80850052 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - 4)*(-4)\/10 + -2. What are the prime factors of (-52)\/(v + -4)*1\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-5 - 6) + -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*f - 6. Suppose -3*m + s + 0*s = -16, m = 5*s - 18. Let a = m - f. What is the remainder when a is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 8:02 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - -0.5. Let f = l - 0.6. Let i be (-2)\/(-12)*(-2 + 6). What is the second biggest value in f, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3 + 171044*w**2 - 1881262*w + 1710220 = 0 for w.\nAnswer: 1, 10, 85511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**2*t**6 + 28*h**2*t - 1211*h*t**6 - 27*t**2 wrt t?\nAnswer: 240*h**2*t**3 - 145320*h*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057 a factor of 127648605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.04 - -0.04. Let c = -4.7 - g. What is the closest to -1\/2 in 0.1, c, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 48. Let n be 16 - 2 - y - (-1 - 0). Find the first derivative of d**2 - n*d**2 - 23 + 5 - 7 wrt d.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72968 is divided by 71593.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 40 = -2*o. Suppose 329 = 3*d - u, 337 = 3*d + 15*u - 20*u. Calculate the remainder when d is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -61*b**2 - 1231*b - 192. Give z(-20).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3564.4 and -2215.\nAnswer: -5779.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 211789339 to the power of 1\/2, to the nearest integer?\nAnswer: 14553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/2 + -1 + 0. Let b be (8\/(-16))\/((-2)\/y). Let d(x) = 4 - x**b - 1 - 3 + x. Determine d(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/270)\/(116\/(-1160))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11))**(-1\/16)*y**(3\/2)*y*(y*y\/(y\/((y*y\/(y\/y**(-2\/21)))\/y)*y))\/y*y assuming y is positive.\nAnswer: y**(4465\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnn. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 24*o**2 - 17*o + 48. Let u be a(-16). Let g = u - -2750. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45665809, 45665808, 45665807, 45665806, 45665805, 45665804?\n\"Answer: -v + 45665810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2785384, 2785382, 2785380, 2785378?\n\"Answer: -2*a + 2785386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380261 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 275, 530, 775, 1004, 1211?\nAnswer: 1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(48\/(-9)))\/((-624)\/256 + 0). Which is greater: u or 26\/9?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 38?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044049774.\nAnswer: 2, 1291, 404357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = h + 2*i, -3*i + i = -h - 11. Let r be 1\/4 + 489\/12. Let b = h + r. Calculate the highest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 908*v + 286*v + 1306*v + 79*v in the form i + k*v and give k.\nAnswer: 2579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 19, 6, -26 in decreasing order.\nAnswer: 41, 19, 6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14560442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 28*u + 40. Let v be (2\/4)\/((-2)\/24). Let y be k(v). What is y rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5889, -5871, -5853?\n\"Answer: 18*q - 5907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/244803 and 26\/257357?\nAnswer: 10036923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1866412296.\nAnswer: 2, 3, 7, 3703199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*((-345)\/9 - 0). Let d = -68 - b. What is the remainder when d is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7d7112 + 1?\nAnswer: 7d7113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 31*i - 8. List the prime factors of h(4).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/g**(2\/3)*g\/g**3*(g**0*g)**(17\/3) assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 0 + 3\/4*z**5 - 158*z - 1\/2*z**4 - 1\/3*z**3 - 155\/2*z**2. Find the second derivative of o(g) wrt g.\nAnswer: 90*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 + 2*s**2 - 2*s - 11. Let w be m(4). What is the hundreds digit of w\/20 - -5 - (-2731)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148710 take away 153979.808?\nAnswer: -302689.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 1650 - 1650.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20303021032 (base 4) to base 15\nAnswer: -3086ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.7955 rounded to 1 dp?\nAnswer: -96.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011111 - -11110100?\nAnswer: 1101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 19*o + 40. Give l(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 + 13*t + 4. Let g be d(12). Let p be g\/(-10) + (-12)\/(-15). What is the units digit of 8\/p - 328\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*((sqrt(1331)*-1)**2 + sqrt(1331)).\nAnswer: 66*sqrt(11) + 7982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0 - -2) + (-185 - -185)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7002\/11 - -18872\/33. Let c = y - -64. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5348047*5\nAnswer: 26740235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3503, 13994, 31483, 55970, 87455, 125938, 171419?\nAnswer: 223898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/((-9)\/(-42)). Let g(j) = -5*j + 3*j - r*j - 2*j**2 + j**2 + 7. What are the prime factors of g(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57, 242, 543, 954, 1469, 2082, 2787, 3578?\n\"Answer: -h**3 + 64*h**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -938252.7505 rounded to the nearest 1000?\nAnswer: -938000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/3 + 530*h**4\/3 - 10814*h**3\/3 - 11772362*h**2\/3 - 256139220*h - 1183152000 = 0. Calculate h.\nAnswer: -157, -96, -5, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75621, 151074, 226527?\nAnswer: 301980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 75.49052 decades?\nAnswer: 0.7549052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 1 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5384 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125891 and 262?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*u**5\/4 - 343*u**4\/2 - 241*u**3 - 209*u**2\/2 - 3*u\/4 = 0. Calculate u.\nAnswer: -3, -1, -1\/137, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 17. Let w = -2 - c. What is the smallest common multiple of w and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14979\/7 + 899909\/420. Calculate the common denominator of (-63)\/(-27)*153\/12*(-17)\/(-255) and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**8*l*l*((l*l\/((l*l**(2\/5))\/l)*l)\/l)\/l)\/(l**1)**(2\/7)*((l*l*l*l\/l**(2\/17))\/l**9)\/((l*l*l*l**(1\/12)*l)\/l*l*l*l\/l**(-7)) assuming l is positive.\nAnswer: l**(-163411\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 2*v**2 + 2*v**2)*(-2 + 2 + 2) - 21*v**2 + 6*v**2 - 35*v**2.\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-3529*s + 508*s**2 + 3529*s + (5*s + 0*s - 3*s)*(6*s - s - 3*s) + (2*s**2 + 2*s - 2*s)*(-1 - 2 + 0) - 2*s - s**2 + 2*s).\nAnswer: -1010*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 44*z + 0 + 1\/42*z**3 - 1\/140*z**5 + 1\/28*z**4 - 3\/14*z**2. Let s(i) = 0. What is i?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*d**3*g*y**3 - 2*d**3*y**3 + 39*d*y**3 + 11*g*y**3 with respect to g.\nAnswer: 7*d**3*y**3 + 11*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11711 >= 11677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 845.30034ms?\nAnswer: 0.00023480565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**6*h)*h)\/h*h)\/h*h)\/h**(-15)*((h\/(h\/((h**(-1\/3)*h)\/h*h)*h*h))\/h)\/(h\/((h*(h\/(h**(3\/7)\/h*h)*h)\/h)\/h)) assuming h is positive.\nAnswer: h**(152\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4 - 7 + 3*j**2 + 5*j + 0. Suppose h + 3 = i, -h + 0*i - 3*i - 11 = 0. Is o(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 40 = 61. Solve -d*g = 0, 5*g = -2*k + 2 + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 87570 or 87568?\nAnswer: 87570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 6, i: 1, d: 2, o: 3}. What is prob of sequence dd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 16*q + 12*q + 27412 = 0, 5*q - 109714 = -4*c. What is the thousands digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-558)\/(-434) - (-2)\/(-7)) + 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/22310902 and 81\/4697032.\nAnswer: 89243608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43994.8546 rounded to the nearest ten?\nAnswer: 43990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11745656231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5053 + 45526\/9. Let b = 21378215\/11 - 1938807. Let x = b - 4663. What is the common denominator of x and t?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 13*h**2 - 13*h + 10. Let z be (-636)\/(-54) - ((-48)\/(-27) - 2). Determine r(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**5\/20 + 5*q**4\/12 - q**3\/3 - q**2 + q. Let s(z) = -19*z**2 + 80*z - 11. Let t be s(4). Give i(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -151166 + -48?\nAnswer: -151214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 2875208?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2 + 3*b + b - 10*b. Let c be 42\/(-112)*-8 - 2*2. Let o be m(c). Solve -2*z - 2 + o = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + 0*n**4 - n**4)*(n - 3*n + 0*n) + n**5 + n**5 - 2*n**4 + 0*n**5 + 484*n - 484*n + 587*n**5.\nAnswer: 595*n**5 - 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 12. Find the common denominator of ((-178)\/6)\/(2\/s) and -13\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29832953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**7\/840 + g**4\/12 - g**2. Let d(w) be the second derivative of c(w). Let s(f) = -3*f. Calculate s(d(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38.963 + -0.037. Let q = 38.74 + y. What is q rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (571 - 676 + 922 + 1020)*(2 + 1 - 5)*(-3*u + 4*u + 0*u).\nAnswer: -3674*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-90)*-9)\/((-36)\/(-40)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 - -6?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-2 - 18) - (-37 - -40). What are the prime factors of (-464)\/(-3)*v\/8?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1122896 + 3*f - 1122896.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1272305, -1272303, -1272301, -1272299, -1272297?\nAnswer: -1272295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11242 - -22322?\nAnswer: 34114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 + 3 + (-4 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85185*c*k**3 + 3712*c*k**2 - 6*c + 3*k**3 wrt k?\nAnswer: -511110*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 198876 times -0.689\nAnswer: -137025.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*p**3 - 2839*p**3 - 213*p**3.\nAnswer: -3248*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 - 67. Let l(h) = -324*h + 80041. Let b be l(247). What is the highest common divisor of b and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -316\/3257 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -332*o**4 + 30*o**3 - o**2 + 41727 wrt o?\nAnswer: -1328*o**3 + 90*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 107083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4)\/t*t\/(t\/t**(2\/29))*t)\/(t**(-3\/8)\/(t*(t**(-3\/2)*t)\/t)))**(2\/123) assuming t is positive.\nAnswer: t**(15\/4756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5156.403 meters to nanometers.\nAnswer: 5156403000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-23)*y))\/(y*((y*(y\/((y\/y**6)\/y)*y)\/y*y)\/y)\/y))\/((y*y*y\/(y**(-1\/21)\/y))\/(y*y\/(y\/y**19*y)*y)) assuming y is positive.\nAnswer: y**(650\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 485592.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18351609*j**3*k**3*y + 3*j**2*k**3*y - j*k**2 - 13*j*k*y + 75*k**3 + 10*k + 2*y + 8 wrt j.\nAnswer: -110109654*j*k**3*y + 6*k**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 90a913 + -19?\nAnswer: 90a8d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 994 and 18219736?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/5, -2\/42821, -2\/13, -2, -0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 21 - (-83 - -32 - (0 - -11) - 11).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (343\/(-42) + 9)*8\/50.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64572?\nAnswer: 2, 3, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44, -87, -130?\n\"Answer: -43*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*n + 1104 = -292*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -153415 + -1241?\nAnswer: -154656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*x = -5*x + 12370, -n - 3*x = 3084. Let m = n - -61819\/20. What is the common denominator of m and -99\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g. Let s(y) = 11*y**2 - 2*y**2 + 7*y**2 - 8*y**2. Calculate s(m(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(98) + -1*sqrt(2) + -1.\nAnswer: -2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -28*p + 1. Let b(m) = 144*m - 10. Let h(x) = b(x) + 5*i(x). Let g(s) = -s + 1. Let o = 59 - 35. Let c = o + -39. Calculate c*g(n) - 3*h(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -1\/93 (c) 7583 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -71*n. Let x(v) = 7191*v. Give r(x(l)).\nAnswer: -510561*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10 - 79*f**2 + 149*f**2 - 5*f - 71*f**2. Let s = 434 - 439. Calculate l(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -9. Let l = 3 - d. Suppose 3*k = -4*c + 2*k - 13, 18 = -4*c - 2*k. Sort c, l, 0 in ascending order.\nAnswer: l, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44676 - 29378. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -102 - (7 + 28\/(-7)). Let l be 3\/(-8) + w\/(-24). Solve -22 + 6 = l*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*(sqrt(1377)*-3 + sqrt(17) + 4 + sqrt(153)).\nAnswer: -24 + 138*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6822353*u**4 + 173942 wrt u?\nAnswer: 27289412*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*b = -5*b - 10, 3*z - b - 5 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(16\/(-28))*(-6 - -2). Let p(b) = -b**2 - 20*b. Let h be p(-20). Suppose h = m*c - 166 - 58. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-5))\/(1\/5). Let t be ((-2)\/3)\/((-12)\/v). Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2266012563?\nAnswer: 3, 6121, 123401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/21)\/((-4)\/14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 89373.59 years?\nAnswer: 1072483.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -125*t**5 + 775*t**4 - 6365*t**3\/4 + 2491*t**2\/2 - 415*t + 50 = 0.\nAnswer: 2\/5, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/10 + 38\/10. Let m = h + -1. Suppose m*z = 5*q + 6, -5*q + 1 = z - 1. Sort -3, 2, q.\nAnswer: -3, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1 - 5 = 0. Suppose -t*p = -10*p + 70. Is 12 a factor of ((-18)\/p)\/((-10)\/250)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u - 4. Let v be q(-5). Is (v\/(-6))\/(7\/14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q. Let n = -0.2 - -0.2. Let x = n + 0. Is q smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 5*h - 105. Let y be ((-286200018)\/h)\/(-3) + (-2)\/(-5). Round y to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-14 + 7) - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 2*w + 2*w - 40, 5*w = 15 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**5\/20 + 5*u**4\/12 - 4*u**3\/3 - 4*u**2 + 3*u. Let q be -4 - (2 + 3 - 3). Give d(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.87 - -16.4. Let m = -1.57 - h. Which is the nearest to 2\/5? (a) 0.4 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -541884 divided by 45157?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvdndnd. Give prob of sequence dnv.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 422\/7 + -60. Let u = 37 - 8. Let i = u + -29.3. What is the third biggest value in -3, i, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13606075 (base 8) to base 16.\nAnswer: 2f0c3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41856 and 2947968?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4. Let m = v - 0.3. Let g = m - -0.3. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24121241402 - 4?\nAnswer: -24121241411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b**(-1)\/b))*b)**(-25)*(b**1*b)**(-50)*(b\/(b*b**1\/b))**(-1\/39)\/((b\/(b**(1\/5)\/b*b))\/b**(-2)) assuming b is positive.\nAnswer: b**(-264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3 - 3) + (7 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 16 = -r. Let k(h) = -3*h - 2. Let q be k(-3). Suppose -3*l + q = -35. Calculate the lowest common multiple of l and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00083544 to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.8041 and -586?\nAnswer: 591.8041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 - 5*f + 5*f)*(38*f - 13*f - 15*f) + (6*f**2 + 0 + 0)*(f**2 + 1 - 1).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 7*y - 4. Calculate b(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157 + 305. Let u = 145 - j. Let w = 0.08 - -3.92. Which is the biggest value? (a) w (b) 2 (c) -5 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a - 5. Let f be d(4). Find the third derivative of -7*x**2 + 3*x**6 + x**6 + f*x**2 wrt x.\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-6)\/38) - (101 + (-231539)\/2821).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -27. Let t(x) = 2*x - f*x - 4*x - 3. Let v(q) = -5*q - 4. Calculate 6*t(u) - 5*v(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-384)\/16*(26\/(-6) + 1). Suppose 42 = 3*m + t - s, -3*t = -2*m + 96. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 3:49 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 379 = -2*z, -2*z + 5*z = -3*j + 537. List the prime factors of z.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/706044 and 88\/882555.\nAnswer: 3530220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 32 = -20. Let a = o - -17. Solve -g + a*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = u - 91, -2 = u + 3. Suppose t + c - 6*c = d, 0 = 2*t + 4*c - 6. What is the lowest common multiple of 27 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/2 - (-18)\/(-12)) + 77 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (695\/143865)\/(1\/(-9))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(156) + -4*3*sqrt(156) + sqrt(156))\/(-5*-1*sqrt(432)*-1))**2.\nAnswer: 13\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 957023990 to the power of 1\/2, to the nearest integer?\nAnswer: 30936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/7 - 32\/(6272\/(-529060))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/12423 and -55\/3.\nAnswer: 12423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 343 - 14*w**2 + 8*w + 13*w**2 - 159 + 452 - 6*w to the form y + h*w + l*w**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 394.\nAnswer: 78.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -4) + 0 - -721?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*t - 11*t - 10*t = 64*t + 6880 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -12, -0.1, 1.4, -0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 264211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/53? (a) -0.5 (b) -5 (c) -3\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**4\/24 - 3*g**2 + 7*g. Let k(c) be the first derivative of d(c). Let f(a) = 0*a + 0*a - 2*a. Calculate f(k(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/11)\/l*l*l**(-12))\/(((l\/(l**(1\/7)*l))\/l)\/(l*l\/((l*l**5)\/l)*l)) assuming l is positive.\nAnswer: l**(-920\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - 105*u + 104*u + 1 - u**2 in the form s*u + t + z*u**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {m: 15, b: 3}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 48. Let y(z) = z**2 + 9*z - 33. Let n be y(-13). Calculate the greatest common divisor of n and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142371, -574142, -1293761, -2301228, -3596543, -5179706, -7050717?\nAnswer: -9209576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4154, -33044, -111372, -263846, -515174?\nAnswer: -890064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.12 * -1.\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 515 + 654. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/792 + 4\/44)\/7.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1070 = 4*r + 190. Calculate the common denominator of (-9)\/(-12) - r\/(-12) and 115\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*u + 75*u + 54648. Let x = u - -16430. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633658 is divided by 3932?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*f**3 + 20*f**3 - 111*f**3 - 190*f**3.\nAnswer: -212*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(4)\/sqrt(2))**2*3 + (sqrt(98)*-1)**2 + (sqrt(16)\/(sqrt(32)\/sqrt(4)) - sqrt(2)) + 3)*2.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145 + -144.9. Let w = -1.9 + 2. Is w at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4*t**3 - 2*t**3 - 14 + 6*t**3.\nAnswer: 8*t**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -6. Suppose 140 = 6*c + 8*c. Solve -4*w = -2*o - c, b = -o + 3*w + 2*w - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -1\/600*z**6 - 1\/1050*z**7 + 0 - 1\/40*z**4 - 38*z**2 + 0*z + 1\/60*z**5 + 0*z**3. Factor d(s).\nAnswer: -s*(s - 1)**2*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 12:06 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 200121100?\nAnswer: -200121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + (5 - -7) + (275 - 1). Are u and 282 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.6 in -66, -1\/5, 65?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 12:05 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -7, -5278, 2.\nAnswer: -5278, -7, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17200\/1548*(-288)\/80?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18157*l = -1580000 - 689625 for l.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Calculate the smallest common multiple of 7 and ((-28)\/7)\/(d\/(-5)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**3 + 4*j**2 + 1. Let k = 384 + -257. Let x = k - 129. Let m(t) = -t**3 + t**2. Calculate x*m(l) + f(l).\nAnswer: -l**3 + 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 21. Let x(y) = -46456*y + 1. Determine x(w(n)).\nAnswer: -46456*n**2 - 975575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6767432 is divided by 11894.\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8040089, 16080232, 24120377, 32160524, 40200673?\nAnswer: 48240824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/5)\/(6\/(-30)). Suppose 0 = u + c - 4. Suppose -z + 5*d = -0*z - 25, z + u*d = -3. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1433, 1376, 1281, 1148, 977, 768, 521?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddryyrrddddryyydd.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 2*f**2 + f**2)*(11*f**2 - 5*f**3 - 11*f**2) + (1 + 2 - 4)*(2*f**5 - 4*f + 4*f).\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0*f**4 - 5\/6*f**3 + 0 + 0*f**2 + 1\/4*f**5 + 14*f. Factor d(p).\nAnswer: 5*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3588*p + 3597*p - 522 = 0. Solve -4*q - z - 66 = -p, 0 = -4*z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -77 (b) 0.5 (c) -0.4 (d) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 98?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + -102123?\nAnswer: -102134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2588 + -2594. Which is the nearest to 5? (a) t (b) -5 (c) 1 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*y = 2, 3 = -c + 5*y - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142604179.\nAnswer: 37, 3854167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 less than 206?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/650 and 81\/50.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31864684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 11.9. Let o = l - -6.1. Put 0.3, 4\/5, o in descending order.\nAnswer: o, 4\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87 + 0.93.\nAnswer: 87.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36826 + -24.22.\nAnswer: -36850.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18009\/5 - -3586. Which is the smallest value? (a) 12 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -32581?\nAnswer: -32581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -537 - -540. Suppose m + 3*c + 4 - 1 = 0, 5*c - 9 = -4*m. Solve 5*w - z = m*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - 46*k**2 - 85*k + 3. Determine u(-21).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 39. Let t = x + -22. Let z = 41 + t. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198932430960623 - -0.5\nAnswer: -198932430960622.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 198?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 3*y + (2 - 6 + 2)*(-27*y - 21 + 21))*(-3*y - 3*y + y).\nAnswer: -285*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = -32*i - 1337. What is the units digit of i\/15*(-735)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -1853*t**3 - 438*t**2 + 45*t**2 - 231*t**2 + 12*t**5 + 1184*t + 190*t**3 + 199*t**3 - 404*t**4 = 0.\nAnswer: -2, 0, 2\/3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2106, -1979, -1782, -1515?\n\"Answer: 35*x**2 + 22*x - 2163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + 2 - (-1 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 3195.\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -4. Suppose -3*j = 5*m + 16 - 1, -10 = -2*j. What are the prime factors of ((-2)\/l)\/(m\/(-567))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from ghhjhqghjqggkqgq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 + 141. Let g(r) = 21 - j - r + 14. Let t(u) = 15*u - 9. Let h(b) = 7*b - 4. Let d(y) = 7*h(y) - 3*t(y). What is g(d(m))?\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**2 - y. Let f(v) = -5*v**2 + 9 - 2*v + 9 - 18. Determine 2*f(c) - 3*m(c).\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 101010111011000011000010?\nAnswer: 101010111011000010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -179e37 (base 16) to base 3\nAnswer: -2220122020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -10. Let s be j + -6*(-3)\/6. Find the first derivative of 3 + 0 + 2 + 2*q**s wrt q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 186929, 374041, 561153?\n\"Answer: 187112*d - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 245*r + 121*r + 150*r - 18339 - 2301 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*h - 251*h - 1376 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51195 by 17065.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -366, -364, -362, -360, -358?\n\"Answer: 2*r - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*y + 219*y + 4*y + (-4 + 3 - 1)*(-5*y + 0*y + 4*y).\nAnswer: 265*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -163\nAnswer: -28\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + (sqrt(275) + (sqrt(275) - (sqrt(275) - -3*-3*sqrt(275))))**2)*-4.\nAnswer: -110000 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 2*b - 1. Let u be 15 + 6\/24*-4 + -4. Suppose 9 + 5 = 2*i. Suppose 0 = -i*c + 2*c + u. Determine m(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 7*g**5\/5 + 21*g**2 - 3170*g + 2775. What is the first derivative of q(z) wrt z?\nAnswer: 28*z**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, -5, -0.5, 3, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969544681?\nAnswer: 7, 138506383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 741.5947 years in centuries?\nAnswer: 7.415947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 8. Suppose 15 = -3*o - 12. Let u = 9 + o. Solve u*f - f = t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uubuufbuuuubfsuu. Give prob of sequence uff.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 27. Solve -z - z - d = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*s**2 - 54 + 91*s**2 + 55 - 75*s**2.\nAnswer: -195*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11633184.\nAnswer: 2, 3, 31, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 3*o**2 + 0*o - 14*o**2 to the form f + k*o**2 + z*o and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/132 and -151\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from {l: 9, k: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 10. Let p be (-2)\/l*(-9)\/(-2). What is the third biggest value in -1, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 - 156)*(-20)\/8.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 143\/4. Sort -2, p, -0.3.\nAnswer: -2, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1750)\/(-12))\/(122\/3660)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -82, -180, -318, -496?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + k - 2*k - 3 + k + 3 + (-5*k + k + 2*k)*(-3 + 2 + 2) + 2*k + 0*k - 4*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36a - -1b?\nAnswer: -34e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*z**3 - 2*z - 4 - 10*z**3 - 3 in the form p*z**3 + g + s*z**2 + y*z and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3 + (sqrt(320) + sqrt(320)*2)*1 + 2)**2)*-3.\nAnswer: -8643 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-91926638.\nAnswer: -459633190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101732 and 4740224.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**20*m**(2\/13)\/m)**46)**(-2\/91) assuming m is positive.\nAnswer: m**(-22908\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 r when three letters picked without replacement from lrlrlllnnrrr?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, j: 2, q: 9}. Give prob of sequence qjj.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 6:08 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 14. Suppose c = 2*u + 4. Solve u*o - 9 = 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 2, v: 1}. What is prob of picking 1 n and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.74 * 0.4.\nAnswer: 1.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.097 - -5.903. Let l be (6\/(-75))\/(2\/10). What is the smallest value in r, 1\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v = -s, -3*v - s + 12 = 0. Let d(t) = t - 3. Let l(g) = 3*g - 5. Calculate v*l(b) - 5*d(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3*4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -172*u + 145*u + 42039. Calculate the highest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmf when three letters picked without replacement from {f: 5, m: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028178*k**2\/5 + 642432*k\/5 + 100352\/5 = 0 for k.\nAnswer: -224\/717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + 13?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77084*v**3 - 38544*v**3 - 38542*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 237 - 146 - 80 - 3*z. Let l(b) = -b**2. What is l(o(f))?\nAnswer: -9*f**2 + 66*f - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d + 66. Let l be m(14). Let t = 34 + l. Solve t*p = 4*p - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, 2\/3, 0.16, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202 + 5*b - 652 - 4*b + 174 + b to u + i*b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5678 is divided by 90?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -246543 less than -246543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 506.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 562, 1382, 2530, 4006?\nAnswer: 5810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 813227842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*q**5 - 11*q**2 + 10*q + 51.\nAnswer: -440*q**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -90 + 70 + 1 + 38?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 3\/(6\/(-52666)). Let x(q) = -15444*q + 1. Let m be x(3). Let d = s + m. What is d rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*n - 108 = 93*n - 49*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6468 = -6*c + 4*r, -c - r + 1290 = 0. Suppose 9*w - 2290 = c. List the prime factors of w.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, 50, 88, 126?\n\"Answer: 38*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2))\/u*u**4*u)\/(u**1)**(2\/83)*(u\/(u**(-2\/7)*u)*u**(-1\/7)\/u)\/(((u\/u**(5\/3)*u)\/u)\/(u*u*(u\/u**(4\/3))\/u)) assuming u is positive.\nAnswer: u**(12989\/1743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -21*o**2. Let m(d) be the second derivative of 1\/2*d**3 + 50*d + 0 + 0*d**2. Calculate m(x(r)).\nAnswer: -63*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/7)\/(-25 - (-2941)\/119).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92119 (base 10) in base 6?\nAnswer: -1550251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/136988 and -97\/40.\nAnswer: 1369880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*i + 703*i + 205*i + 41*i = 52700 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.7 - 3.8. What is the biggest value in y, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (-411)\/(-12) - ((-15)\/12)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377964 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -207*m**5 - 1471*m - 657. What is the first derivative of d(x) wrt x?\nAnswer: -4140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28819 - 18379. What is the thousands digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75*z**3 - z**3 - 19*z**3)*(-3*z**2 - z**2 + 3*z**2).\nAnswer: 95*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32779 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1\/4, -0.2, 3 in descending order.\nAnswer: 3, 1\/4, -0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.7 + 2.7. Let i = q - -10.2. What is i rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10224 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktktkkbttktb. What is prob of sequence bk?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*f + 71 + 224, 5*v - 59 = -f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 26*m + 94. Let j be g(-29). Suppose -j*n = 330 - 3802. Is 28 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405870 - 383460 = -46*z + 129*z. What is z rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + -172536604?\nAnswer: -172536571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*o*q*u + 17094*c*o*q + 24*c*o + 813*c*q*u + 5392*c*u + 2*o - 3*u + 6 wrt q?\nAnswer: -2*c*o*u + 17094*c*o + 813*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a7ca + -3?\nAnswer: -a800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 22800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(288) + 0 + -1 + -4 + -4 + (sqrt(288)*3)**2 + (sqrt(288) + (sqrt(288) + -2*sqrt(288))**2)*5.\nAnswer: 72*sqrt(2) + 4021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 147506440 to the nearest 1000000.\nAnswer: 148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 g when four letters picked without replacement from eeeggebhghg.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.3, -5\/2, 51.847?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-5))\/((16\/4)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316 = -4*y + 4*x, -3*x - 604 = -7*y + 158 - 193 for y.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220\/8 + 2\/(-4) is divided by ((-30)\/8)\/(3\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9983895?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 17 - 8)*(-1 + 1 - 3*l**3).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 7 - 12 + 0*v**2 + 6. Let t(i) = 3 + 11 + i - 4*i + 1. Let j be t(5). Give z(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2909 = 4*w, -3*w = 7*d - 674 - 1531. Calculate the highest common factor of 104 and w.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49\/2 - -25. Suppose 5*r - 26 = 4*c - 0, -c = -5*r + 14. Factor 0 + 1\/2*j**r - f*j.\nAnswer: j*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-39 - (-18 + 18 + (2 - 6)))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/3859134 and -131\/3408.\nAnswer: 30873072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 154*z + 4341. Determine o(180).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(320)*-2 - sqrt(320) - sqrt(320))*6 - (-1*sqrt(320) + sqrt(320))*-4)**2.\nAnswer: 184317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1213334 + 1034?\nAnswer: -1212300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/20324189?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 4\/6*-6. Find the common denominator of (u\/(-2))\/((-22)\/92) and (-1635)\/(-300)*(-4 - -2) + -1.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.5, -4580, 1 in ascending order.\nAnswer: -4580, -0.5, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 2*k**3 - 171*k + 29 + (0*k + 0*k - 3*k)*(3*k**2 + k**2 - 2*k**2) as z + u*k**3 + h*k + m*k**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, a: 16}. What is prob of sequence aa?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 1 - 1 + (3*z - 4*z - 2*z)*(-1 - 1 + 0) + 1 - 1 + z + (16 + 79 + 114)*(-5*z + 0*z + 2*z).\nAnswer: -619*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 3*o + 29 = 16*r, -2*o = 5*r - 39. Let g be (210\/(-63))\/(r\/6 - 1). Which is the biggest value? (a) 1 (b) g (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-130.85\nAnswer: -130.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584.7166 hours to seconds.\nAnswer: 2104979.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b + 21. Let i be z(6). Let v = i - -43. Solve 2*p + v = -3*g, 3*p - 14 = 2*g + 3*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**3 + 291*g**2 - 170*g - 264. Is m(-72) a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5839647, 5839615, 5839595, 5839593, 5839615?\nAnswer: 5839667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -24100 divided by 2410\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -2\/11 (c) -2.1 (d) -15 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 1:41 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/618 and 41\/690?\nAnswer: 71070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 440\/(-75) + 6 - (-28 + (-31416)\/630)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1743014, -1743021, -1743032, -1743047?\nAnswer: -1743066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*a**3 + 31*a**3 - 2*a**4 + 38*a - a**2 - 30 + 30 to the form f*a**3 + d*a + z + n*a**2 + k*a**4 and give d.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90174 and 79002?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + sqrt(70)\/sqrt(10) - (sqrt(112) - 5*sqrt(112)) - -5*(-2 + sqrt(63) - (sqrt(7) - (sqrt(7) - (sqrt(7)*3 - sqrt(7))*3)))**2).\nAnswer: 385*sqrt(7) + 1655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 932, -3081, -9770, -19135?\n\"Answer: -1338*l**2 + l + 2269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 5. Let j be h(0). Let i = j - -3. Suppose -90 = 5*p - i*p. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 167, 2 in ascending order.\nAnswer: -3, 2, 4, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3079 - 0.8079. What is the closest to -1\/2 in 3\/11, -0.4, -1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-10))\/((-4)\/30). Suppose 0 = 4*s + 5*s - 54. Suppose 3*g + 2*a = 1, g = -3*a + 6 + s. Put 0, g, n in increasing order.\nAnswer: g, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 m when four letters picked without replacement from {w: 1, m: 1, x: 3, d: 3, r: 1, e: 5}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8215768 and 55.\nAnswer: 41078840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/h**(-4))\/(h\/h**(2\/7))**(-2\/73)*(h*h\/(h*h*h*h*h**(-7)))\/h*h**(-3\/2)*h**(-4)*h*h**8*h assuming h is positive.\nAnswer: h**(11773\/1022)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, b: 2, d: 1, q: 3, t: 2, s: 3}. What is prob of picking 2 q and 1 s?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -697084 (base 11) in base 6?\nAnswer: -35423124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 208117*p. Let j(k) = -7*k + 2. Calculate h(j(d)).\nAnswer: -1456819*d + 416234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*b + 12*b + 348. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1472 or -1471?\nAnswer: -1471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + z = -2*z, -z - 13 = -4*p. Let k be 7\/(-4) - p\/(-4). Which is the nearest to 1\/2? (a) 0 (b) k (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (0 - -9) + 1 + 9\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 20784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4304255 or -202299990\/47?\nAnswer: -202299990\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 1 - 1)*(-19*l - 130 + 40*l - 14*l - 6*l).\nAnswer: l**2 - 130*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2210785 - -190.\nAnswer: -2210595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 27*i + 1\/30*i**4 + 0*i**2 + 0 + 2\/3*i**3. Solve q(v) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 - -94. Let z be (-1)\/n + -1 + (-362)\/(-8). Suppose 0 = -l + z. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12138, -12060, -11970, -11862, -11730?\n\"Answer: o**3 + 71*o - 12210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 5*i + 722. What is t(26)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -16513*y**2 + 39*y - 12. Let u(f) = -21384333*f**2 + 50492*f - 15536. Let v(g) = -3884*s(g) + 3*u(g). Let p(n) = 2*n**2. What is p(v(h))?\nAnswer: 544962098*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = -3*r. Let c(i) = -r*i**2 + 17*i**2 + 2*i - 10*i**2 + 35. What are the prime factors of c(6)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1622*b**6 + 334*b**2.\nAnswer: 194640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + ((-5313)\/1242 - (-4)\/(-18))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 203 + 557?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttjjj. What is prob of sequence tj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-3)*(14\/91 + 4364711\/338)?\nAnswer: 2, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -152.\nAnswer: -30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 655981 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 - 28*x**4 - 40*x**3 = 0 for x.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*n + c - 9, -n + 5 = -3*c. Suppose 3*f - n*f = 2*j + 118, -3*f = -3*j - 369. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/2, 22\/9, 3.\nAnswer: 1\/2, 1, 22\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 2, 0.2, 0.5, 0.15, 70?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 13*b**2 - 3*b - 9. Let z be o(-6). Suppose -6 = 3*p - z. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 713 = 4*l - 1072, 1755 = 4*l + 5*i. Which is greater: l or 444?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/78906060 and 149\/110468484?\nAnswer: 552342420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - (sqrt(297)*-3 + sqrt(297)) - sqrt(33))\/(sqrt(33)\/sqrt(3)*4).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1233300222 (base 5) to base 10\nAnswer: -3025062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 224 - 434 + 210.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 84?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {p: 2, y: 4, x: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**5 + 36741*l**4 - 112546848*l**3 + 337309944*l**2 + 146928*l - 449746608 = 0.\nAnswer: -1, 2, 6122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9358845.\nAnswer: 3, 5, 623923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-16))**(-3\/41)*o**(4\/13)*o*o**(-32)\/o assuming o is positive.\nAnswer: o**(-16268\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - 102806)*(1012\/352)\/((-1)\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 784 divided by 28\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 7883 - 3*h + h + h.\nAnswer: 3*h + 7883","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*k - 219*k - 11 = 3*s, -k - 9 = 2*s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:30 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -235*n**2 + 543*n**4 - 308*n**4 + n + 70*n**3 - 40*n**5 - 26*n - 5*n = 0.\nAnswer: -1, -1\/8, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 - -129. List the prime factors of 10*1*(-2)\/j*-12.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.3, -0.69, 0.1, -1\/6 in decreasing order.\nAnswer: 10, 0.1, -1\/6, -0.3, -0.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-15)\/(f\/f**(-16)))\/(f*f**(-1\/25))**(-1\/2))**(-2\/153) assuming f is positive.\nAnswer: f**(1576\/3825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 19440*b**2 - 370046*b - 350604.\nAnswer: 2*(b - 9739)*(b + 1)*(b + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 30. Put 4, w, 5 in increasing order.\nAnswer: w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (sqrt(39)*1)\/sqrt(3) - (-2 + 4*sqrt(13)*2)).\nAnswer: -14*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 times 210?\nAnswer: 64260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169 + 212. Let y = i + -48. Put -1\/4, -1, y in decreasing order.\nAnswer: -1\/4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-15)\/(-12)*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 - 2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1896.70698 hours to weeks.\nAnswer: 11.2899225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 18 = s - h, -4*h = -2*s. Let b(g) = 2*g**2 + 7*g + 9. Let j be b(s). Solve 5*y + j + 2 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 83. Is 11 a factor of 39\/o - (-7 + -7 + 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516306972.\nAnswer: 2, 3, 43025581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-15))**(-47) assuming j is positive.\nAnswer: j**705","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 3 (c) 23\/15 (d) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2601428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(5)*-1*-2)\/(3*(sqrt(7) + (sqrt(175) - sqrt(7) - sqrt(7)))*-4).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*2\/27)\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 124236 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**4*k**(-2\/7)*k)**(-1\/46)*((k**(4\/7)\/k)\/(k**(-2)\/k))\/(k\/(k**3\/k)*k*k\/k**(-2\/3)) assuming k is positive.\nAnswer: k**(461\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w - 48 = 0. Let m(f) = 74 - w*f - 70 + f**2 + 12*f. What is m(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**0)\/m*(m*m*m\/(m**(6\/7)*m))\/m assuming m is positive.\nAnswer: m**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*h - 39*h + 17*h - h**3 + 0 - 3*h**4 + 0*h + 1 in the form m + n*h**4 + r*h**3 + v*h + t*h**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*k**2 + 3)*(-2*k**2 - 3 + 3) - 2*k - 2*k**4 + 2*k - 112*k**2 + 112*k**2 + 4*k**4 - k as c*k**4 + j + a*k**2 + m*k + u*k**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26201355 a multiple of 1943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 19\/2082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -11. Suppose c*n = 5*a + 85, -5*a + 11 = -4*n + 5*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**3 + 34*p**2 - 6*p - 73. Calculate m(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 7:55 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 51, 0, -0.3, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -54785.2 from -26.4475231.\nAnswer: 54758.7524769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(352) - sqrt(352))\/(sqrt(8) + sqrt(1152) + (-1*sqrt(1152) - sqrt(1152))) + ((-6*(-1 + sqrt(176)))**2 - (0 + sqrt(176) + 2)**2).\nAnswer: -3346*sqrt(11)\/11 + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 8. Let m be i(6). Let s(l) = -m - 4*l + 4*l - l. Let f(w) = 3*w + 4. Calculate -3*f(n) - 7*s(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35205 rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, a: 3, r: 2, s: 1}. Give prob of sequence aar.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*x + 144*x + 26 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Suppose -2*z + 3*b + 1 = -1, -3*z - 17 = -2*b. Let m(o) = -o**3 - 15*o**2 - 41*o + 22. Calculate m(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*a + 294 = 903 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 24*d. Let w(v) = -v. What is w(q(y))?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**3 + 2*q**2 + q - 2. Let m be j(-2). What is the tens digit of m\/3*3\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*2 + 0\/(-5). Suppose -1 = -0*h + h, w*p = 4*h + 100. Suppose p = 4*r - r. What is the greatest common factor of r and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 109*w**3 + 2*w**2 - 2*w. What are the prime factors of t(1)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*v + 5, 5*v + 5*y - y = -6. Let m be (1 + v)*1*(-15)\/3. Suppose 4*g + 0*g = l + 4468, m*g - 5585 = -3*l. Is g 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 nnyfaplf. What is prob of sequence py?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21154 divided by 2\nAnswer: -10577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 15*x = -16. Suppose -x = -13*h + 11*h. Sort -5, 4, h in descending order.\nAnswer: 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3\/3 + 31*i**2 + 177*i + 261 = 0. Calculate i.\nAnswer: -87, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*(-22)\/(-55)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 3.9 (c) -27031\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5811599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 5) + (-3 - (-5 - 1) - -11) + -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 1\/21*u**3 + 0*u - 1\/14*u**2 + 1\/28*u**4 - 1 - 1\/35*u**5. Determine i so that g(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81\/180 - (-8)\/(-32)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786754322?\nAnswer: 2, 17, 23139833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17361 + 694527\/40. Calculate the common denominator of n and -27\/176.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/((o*o**(-2\/5)*o*o)\/o)*o)**21)**(-45) assuming o is positive.\nAnswer: o**(-2268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -119*128026\nAnswer: -15235094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 356512, 712880, 1069248, 1425616?\n\"Answer: 356368*k + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 48*u - 61*u - 425*u - 596*u)*(-14*u**2 - 21 + 21) in the form y*u**3 + b*u + v + x*u**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8111 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.37? (a) 0.1 (b) 3.7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13169*r + 13283*r = -7068 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*r - 4*v + 1443 = 0, -25*v + 6 = -4*r + 6*r - 22*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 117232953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 12 = -3*r. Let v be 3\/(-1)*1348\/r. Suppose 3*n = -n + v. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (6\/4 - -1). Let x = -12.86456 + -0.13544. What is the nearest to q in 1, -5, -3, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*h**2 + 11*h**2 + 4*h**2 + 16*h**2 + 623*h to o*h + b + f*h**2 and give o.\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 2*t + 108 = 0. Let p be (2\/t + 7\/6)*6. Solve -13*k + p = -10*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000154 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/925068 and -91\/36?\nAnswer: 2775204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6034950 to the power of 1\/2, to the nearest integer?\nAnswer: 2457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 1\/6*v**3 + 1\/420*v**5 + 0 + 0*v**2 - 1\/1260*v**6 - 3*v + 0*v**4. Let j(m) be the second derivative of u(m). Factor j(p).\nAnswer: -2*p*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -13402.5.\nAnswer: -4020.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21 + (1\/1)\/(-1). Let j(r) = -r**2 - 798*r - 1588. Let l be j(-2). Solve 12 = -l*p + s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**3 - 3*f - f**3 - 3*f**3 + 2*f + 1 to i*f**2 + t*f + v + h*f**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s + 151*s**2 - 2*s**3 + s**4 - 153*s**2 + 6 - 8 as o*s**2 + n + t*s**3 + m*s**4 + l*s and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*j + (5 + 0 - 3)*(6*j + 0*j - 5*j))*(-2 - 6 + 5).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + r = -145, 255 = 4*c - 5*r + 10*r. Suppose 3140 = 5*o + 2*p, 5*p = o + 138 - 793. What is the greatest common divisor of c and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.10801, 227, -1\/6?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9525 - -30266. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -662, -635, -608, -581?\n\"Answer: 27*j - 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 - 3.99. Let z = 0.6 + 2.4. Let y = a + z. What is the closest to y in -2\/15, 4\/7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -996?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, s: 3, p: 3, b: 3}. What is prob of picking 2 b and 1 o?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 9. Let p be d(13). Suppose -p*x + 757 = -m, 4*m = 5*x - x - 748. Suppose -5*k - x = -10*k. What is the greatest common factor of 57 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 63, 52, 25, -24, -101?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2. Let a(y) be the second derivative of 11*y**7\/504 + 23*y**4\/2 + y + 4. Let r(h) be the third derivative of a(h). What is j(r(q))?\nAnswer: -3025*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1322762*n**3 + 2*n**2 + 7860*n - 5646 wrt n?\nAnswer: 7936572*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 502.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 499011 = 137*r - 11*r. What is r rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-133)\/35*-1 + -4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - -96. Suppose -113*p + y*p - 24 = 0. Which is the second smallest value? (a) -0.4 (b) -1.7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 549 + -643. Let d = q - -4. What is the third smallest value in 3, -2\/5, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-2\/3))\/(((j\/j**(-1))\/j)\/j))**(-50) assuming j is positive.\nAnswer: j**(-400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -223 divided by 1393440\nAnswer: -223\/1393440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 22*6\/4. Let o(b) = b**2 - 30*b - 24. Let p be o(y). Solve -2*k + p*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4 + -3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 6*j**2 + 8*j - 6. Suppose 5*h - 346 = -111. Let m = h + -40. Calculate u(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 18*r - 67. Let m be o(4). Is m bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 15*h - 18. Let x be k(-10). Suppose 0 = 3*v + 2*v + 5, -2*v - x = -5*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than -2873\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -1\/3*n**3 - 32\/3 - 20\/3*n + 11\/3*n**2 = 0.\nAnswer: -1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98*r**3*y**3 - 699101*r**3 + 69123*y**5 - 2*y**2 - 54*y wrt y?\nAnswer: 588*r**3 + 4147380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**6 + 139*q**5*x**3 - 2*q**3 + q**2*x**3 + 28*q**2*x**2 + 12*q wrt q?\nAnswer: 240*q**3 + 8340*q**2*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/128)\/(6\/(-72))*4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(215\/(-75) + (-6)\/45)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 147\/(-2)*(-39)\/91 and -19\/58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6250, -24555, -55062, -97771, -152682, -219795?\n\"Answer: -6101*h**2 - 2*h - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/15 + 14*q**2\/15 + 16*q\/15 - 32\/15.\nAnswer: 2*(q - 1)*(q + 4)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-172)\/43*((-9)\/(-2))\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 2*c**2 - 3*c. Let u be d(-2). Let z = 473 + -467. Is 33 - 5\/u*z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 74154*l + 74156*l = -22, b + 52*l = -572 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/227864 and -61\/56966?\nAnswer: 227864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*y**2 - 17*y**2 + 12*y**2 as j*y + h + f*y**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 1. Let m be o(3). Suppose 0 = 3*l + 2*n - m, 0 = -4*l - 3*n + 6 + 4. Suppose -l*r = -5*r. Solve 5*x + 17 = 4*a, a - 2 + r = -x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjwf when four letters picked without replacement from {w: 11, j: 7, f: 2}.\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 = 2*m, 0 = -3*y + 7*y - 2*m - 16. Put -10, y, 4 in decreasing order.\nAnswer: 4, y, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v + 1. Let c(u) = -8*u**2 - 28*u - 6. Give -c(l) - 6*d(l).\nAnswer: 2*l**2 + 34*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 47 + 215. Let j be 14\/(-49) - 321\/(-21). Suppose 33*v + j = t + 34*v, -t = -3*v - 11. What is the highest common factor of r and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 7*m - 13. Let w be f(9). Suppose 3*c + 87 = 6*c + 4*q, w*c + q = 128. Let t be 1\/2*(-1 - -11). What is the greatest common divisor of c and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 1102074*t + 101213925123.\nAnswer: 3*(t - 183679)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 235323 + 282307 = 2*k, 0 = -k + 2*d + 258791. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*c - 27 = 0, d - 3*c = -0*d + 2. What is the remainder when 18 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 386120 and 26398?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7599923 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -43. Let w(z) = -25*z + 24. Is w(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 3*y**2 - 12. Let m(l) = -l. Let o be m(4). Let n be q(o). Solve -5*v = -v + n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2817 - -4976. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 26*r + 51. Let g be x(24). Find the second derivative of -4*i**2 - 32*i**3 - 69*i + 98*i**g + 4*i**2 wrt i.\nAnswer: 396*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 9*v + 19 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -153, -148, -147, -156, -181, -228, -303?\n\"Answer: -w**3 + 4*w**2 - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 5432551\nAnswer: -65190612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 104010 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**3 + 14*l**2 + 11*l + 29. Let a be i(-6). Calculate the greatest common factor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7968)\/(-21) - (-9)\/(-21). Suppose 5*n = -44 + h. Is 51 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000008637 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/65 and 11\/15720?\nAnswer: 204360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127393409 to the nearest integer?\nAnswer: 11287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -24416652*1\nAnswer: -24416652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8250 and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 bigger than -424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 2. Let d be w(-5). Let b(z) = -1 - 2*z + 17 - d*z + 0*z. What are the prime factors of b(-5)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -512 - -1526. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 328656 and 16032?\nAnswer: 657312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**4 + 144*f**3 - 1260*f**2 + 704*f + 17664 = 0.\nAnswer: -3, 8, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(720)*-1.\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 19*d**2 + 18*d + 43. Let m be j(20). Solve 0 = g - 2*b + 6, -m*g - 5*b + 17 = -6*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 2\/48415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9062096.\nAnswer: 2, 487, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(1072\/48 - 20).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 + 6 - 2 + 1 - 3141*p**2 - 3128*p**2 + 6266*p**2.\nAnswer: -3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21 + -20)\/(-1 - 6\/(-4)). Suppose 6*r - b*r - 1512 = 0. Let j = r + 17. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(4)*3*-1)\/(sqrt(64)\/sqrt(8)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.00968037 + -2533.96968963. Let c = 2538 + f. Round c to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 16 = 3*l - 4*l, 3*l = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwfvv. What is prob of sequence fvwf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/((-9)\/(-5) + -2). Suppose -3*c = -12 - j. Calculate the highest common factor of 171 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 + 6*v + 4. Let j(t) = -2*t + 4. Let p(f) = -7*f + 11. Let d(y) = -3*j(y) + p(y). What is -5*d(g) - i(g)?\nAnswer: 2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.424 rounded to 1 decimal place?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5426 less than -1?\nAnswer: -5427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1201*b + 88. Is d(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.054307 less than -0.24?\nAnswer: -9.294307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 6094818.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -384*s + 271*s**2 - 163*s**2 - 32037*s**3 + 32034*s**3.\nAnswer: -3*s*(s - 32)*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213649 is divided by 3009?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2 (c) -0.1 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -98, -196, -330, -500, -706, -948?\nAnswer: -1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/12 + 77*t**3\/6 + 130*t**2 - 910*t. What is the first derivative of b(k) wrt k?\nAnswer: -2*k + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -1 + -2 + 6 + 52 + -34 and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 189, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 698124 by -3.\nAnswer: -232708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 2. Let y be a(2). Suppose y = -3*f - 6*f + 117. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*v**2 - 13*v**2 - 8*v**2)*(-2*v - 4*v + 7*v)*(5 - 5 + 5*v).\nAnswer: -35*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040\/(-48)*((-235)\/(-75) + -5 + 2)*-1?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 9*z. Let j(g) = 10*g**2 - 6*g. Determine j(i(f)).\nAnswer: 810*f**2 - 54*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3412\/(-853))\/((((-2)\/1)\/(-2))\/(-10))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*l + 78 = 37 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/5 - 391*d\/5 - 78 = 0?\nAnswer: -390, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -157*x + 2352. Give l(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014909 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029 = -3*a + 288. Let i = 359 + a. Calculate the greatest common divisor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13266 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, 1, -5, 24.2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) - sqrt(2016)*3)\/(sqrt(35)\/sqrt(5)*1 + sqrt(7)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2047 + 0?\nAnswer: -2047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a - l - 18184, 4*l = -4*a + 36344. Is 30 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -694 - -694. Let f = 74 + -46. Suppose -4*q + 3*b + f = d, -4*q - b - b = -28. Solve 0 = 5*j - 2 + q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3733515 is divided by 174?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0)**31\/(y**1\/(y**(-2\/3)\/y)))**(2\/147) assuming y is positive.\nAnswer: y**(170\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3)*7)\/((-164)\/(-246)). Let t be (9 - 0) + (6 - f). Solve -5*g + 3 = t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3569?\nAnswer: 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -17*r - 2. Let v be m(-3). Suppose -3 - v = -4*j. Suppose y + 2*y - 5*o = 58, -2*y + 37 = -3*o. What is the lowest common multiple of y and j?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 - x**2 + 3*x**2)*(-8 - 4*x + 8) - 443*x + 2951 - 5910 - 2*x**3 + 2*x**2 + 2957 to i*x**3 + n*x**2 + f + m*x and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-15))\/((14\/(-6))\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/9 + 518\/6660. Which is smaller: a or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364, -2967, -10094, -24025, -47040, -81419, -129442, -193389?\nAnswer: -275540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 176 and 1085?\nAnswer: 190960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 312?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18680 divided by -3?\nAnswer: -18680\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*m - 146, -4 + 2 = m. Calculate the greatest common factor of 52 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c + 250. Determine n(-27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a5 (base 15) to base 9.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2381*u + 1751*u + 44100 = 0 for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 1 - 104*p + 5 + 86*p.\nAnswer: -3*p**3 - 18*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 23*z**2 - 28*z + 4. Determine a(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -175*j**2 - 13*j - 1. Let m(i) be the third derivative of 131*i**5\/30 + 5*i**4\/6 + i**3\/6 - 4*i**2 - 2. Let x(y) = -5*m(y) - 8*s(y). Is x(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h - 2. Let z be u(-3). Suppose 3*r = z + 5. Let c(n) = -n + 3. Give c(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -1f98b?\nAnswer: 1f988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 2*u**2 - 5*u**2 + (u - 3*u + 4*u)*(162*u - 64 + 64) + (3 - u - 3)*(-3*u + 4*u + u) - 2*u + u**2 + 2*u to f*u + w + n*u**2 and give n.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + q - 28. Let m be s(0). Suppose -5*x = -2*x + 126. Let r = m - x. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {c: 2, w: 1, n: 4, g: 1, i: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -21061.\nAnswer: -21060.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 1386*a + 1383*a = 26, -18 = -3*q - 6*q - 3*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -2*b + 0*b**3 + 0 - 1\/24*b**4 + 1\/4*b**2. Factor m(a).\nAnswer: -(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1663*d**2 + 250*d - 999. List the prime factors of v(4).\nAnswer: 11, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296392837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 84.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2 - (4 - 5)). Put -14, 5, u in ascending order.\nAnswer: -14, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9284 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 3*p + 100. Solve -4 = p*i - 37*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 0 - -3) + 15 + (20 - 44)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39487716973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 61797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 135.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1149*x = -1150*x + 324. Let p = x - -157. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**6\/120 - 2*q**5\/15 + q**4\/3 + 4*q**3\/3 + q**2. Is 6 a factor of v(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -5201.\nAnswer: 5200.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 27 - 10 - 17.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p + 22 = 102 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479315?\nAnswer: 5, 17, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1012656 and -17\/8103.\nAnswer: 37468272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*a + 5*a + 60 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + p + 21. Let q(u) = -u**2 + 20. Let m(z) = -3*h(z) + 2*q(z). What are the prime factors of m(9)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318096 by 2.\nAnswer: 159048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 31. Sort u, 2\/7, 0.5 in decreasing order.\nAnswer: 0.5, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 401, 436, 567, 842, 1309?\n\"Answer: 8*k**3 - 21*k + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 622*n - 26060. Give v(42).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2360 and 106840?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13052327, 13052329, 13052331?\n\"Answer: 2*d + 13052325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*d. Let u = 7 - 3. Let i = -1 + u. Solve d = i*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -1\/2070, -7.5, -0.4, 0.1?\nAnswer: -1\/2070","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9711, -77618, -262019, -621192, -1213415, -2096966, -3330123, -4971164?\nAnswer: -7078367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -173 + 4 + 88 + 139\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47.66 + 47. Let k = 0.86 + q. Which is the closest to 2\/3? (a) 0.5 (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.97 - -2.17. Let r be ((-3)\/22)\/(3\/(-4)). Which is the smallest value? (a) t (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/68575186 and 101\/8?\nAnswer: 274300744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, l: 2}. Give prob of picking 2 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40163\/291 or -138?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q**2 - 6. Let z = 28 + -24. Let g(v) = 3 + 6*v**2 + 6 + 2*v**2 - 3. Let r(m) = z*g(m) + 3*i(m). What is the derivative of r(f) wrt f?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -1. Let s be (-18)\/21*((-2)\/(-9) + -1). What is the smallest value in -0.3, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -28 + -2 + 5 + -3. Suppose 4*q - 74 - 46 = 0. Let m = q + o. Solve 3*a = a + 10, -m = -2*h - 2*a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -87a - 1ac?\nAnswer: -a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s - 67. Suppose -38 = -3*q + 4. Calculate the remainder when r(12) is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = -2*q. Suppose -q = -x - 11. Do -11 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**5 - 1790*s**4 + 98870*s**3 - 346360*s**2 - 996465*s - 549450 = 0?\nAnswer: -407, -1, 6, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1818 - 1820. Sort 2, d, 3, -470 in decreasing order.\nAnswer: 3, 2, d, -470","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11900 and 2660.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtgx when four letters picked without replacement from xtxgrxrrgrtgxggggx.\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3662 = 5*i + 857. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10602, 11917, 14100, 17145, 21046, 25797?\nAnswer: 31392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.796386 rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 44912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 (base 7) in base 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -f - 3*f. Calculate the remainder when 7 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-33)\/6))\/(((-744)\/(-713))\/12).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71104 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s - 100 = 6*s. Which is the fourth smallest value? (a) 1\/3 (b) 41 (c) s (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.327 - -0.037. Let m = 1.01 + -1. Let b = m - c. What is the third smallest value in 3, b, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370868 is divided by 370742?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*5)\/sqrt(4) + -3 + (sqrt(1331) + 0)**2.\nAnswer: 10*sqrt(11) + 1328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -1. Let n be (4 - 1)\/(7 - l). Suppose u + 3 = 2*u - 3*m, -4*m - 9 = -n*u. Solve -15 = 5*r - u*c, -c = -0*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*u + 4 = -u, -8 = -4*q - 2*u. Let j be (3 + 9)*(-1)\/q. Let t be (-21)\/(-18) + 1\/j. Sort -5, t, -2.\nAnswer: -5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 19 = -5*n - 2*b, 0 = -4*n + 5*b + 32. Calculate the highest common factor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Let v = -4267.85 + 4267.85. What is the closest to -0.3 in 4, v, 0.07, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 455, 898, 1325, 1724, 2083, 2390, 2633, 2800?\n\"Answer: -2*h**3 + 4*h**2 + 445*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/(-2))\/((-18)\/27). Let c = v - 7. Let w = c - 6. Solve 2*g + w*j = -j - 9, -5*j = 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)*1*4*-1.\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, 21, 47, 93, 165?\n\"Answer: t**3 + t**2 + 2*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, e: 2, u: 4, p: 3, q: 1, s: 4}. Give prob of sequence pesq.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2565, -2579, -2593, -2607, -2621?\nAnswer: -2635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 125221 and 125213 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1182*k**4 - 178*k**3 - 2832269*k?\nAnswer: 14184*k**2 - 1068*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.1121687 hours to weeks.\nAnswer: 0.0423343375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/2 + 3*r**2\/2 + r.\nAnswer: -r*(r - 2)*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 51, 62, 85, 126, 191, 286, 417?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*y**2 - 14222*y\/11 + 2028\/11.\nAnswer: -2*(y + 26)*(275*y - 39)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 71 + -5 + -26 + (-22 - 0)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 466.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534576788 a multiple of 919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 1 + -9 + 1. Let l be 6\/(-21) + (-23)\/(-7). Suppose -o + l*o - 8 = 0. Sort o, -4, i.\nAnswer: i, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - 3\/((-12)\/688) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0. Suppose 3*s = j + 4*s - 16, 0 = 4*j + 3*s - 64. Suppose 0 = 2*n + 3*m + j, 5*m + 22 = -4*n + 4*m. What is the closest to 0.1 in z, 4\/5, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 1055*m + 3120.\nAnswer: 5*(m + 3)*(m + 208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -179*i**2 - 11*i + 2. Determine n(3).\nAnswer: -1642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 4:08 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.44 - 3.54. What is the closest to z in 0.2, -0.9, 2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 120*i**2 - 13*i - 75. Let u(a) = -53*a**2 + 6*a + 39. Determine 9*u(n) + 4*y(n).\nAnswer: 3*n**2 + 2*n + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 9*u = 22*u. Solve u = -3*m + 29 - 32 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -1\/18*k**5 + 0*k - 1\/36*k**6 + 5\/1008*k**8 + 0 - 4*k**2 + 5\/18*k**3 + 5\/72*k**4 + 1\/126*k**7. Factor q(h).\nAnswer: 5*(h - 1)**2*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2209406.\nAnswer: 1\/2209406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + ((-1*sqrt(132)*1 - sqrt(132)) + sqrt(132) + -4*(sqrt(132) + -2*sqrt(132)))\/((-2*sqrt(96)*-3 - sqrt(96))\/sqrt(8)).\nAnswer: -10 + 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1467 + 4715. Does 29 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 624\/25235 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*m - 5*m + 17, 3*m + 3*y - 21 = 0. Let i = m - 0. Suppose 3*x = 2 + 4. Calculate the lowest common multiple of i and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6309, 6306, 6299, 6288?\nAnswer: 6273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*h + 3*h. Let k = h + 7. Suppose 2*m - 95 + 7 = k. Calculate the lowest common multiple of 18 and m.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67\/4 - -69\/4. What is the smallest value in -4, 4, a, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14\/4*96\/(-56) + 4088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/5)\/((-2)\/5). Suppose 2*t = -0 + 6. Let q = -8 + t. Sort -4, y, q in descending order.\nAnswer: y, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 93*i*n**2*t + i*n*t - 160*i*t**3 - 3*i + 2*n*t**3 wrt n?\nAnswer: 186*i*n*t + i*t + 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + 16*m**2 + 303*m - 17. Determine n(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y**3 + 3 - 3 - 4*y**3 + 11 - 11 + 0*y**3 + 0*y**3 - y**3 + (-4 + 3 + 0)*(-2*y**3 + 0*y**3 + 3*y**3) - y**2 + 2*y**3 + y**2 - y**2 + 2*y**3 + y**2.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 5*q - 2*q + (193 - 6 - 41)*(3*q - 3*q - q))*(-6*q + 3*q + q).\nAnswer: 302*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 1 + -2)\/(-81 + 83). Suppose -5*j - 5*o + 37615 = -1090, -o = b. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.19073 * -0.4\nAnswer: 0.076292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 1)*(5*a - a - 2*a) + 4*a + 8 - 8 - 2*a + 2*a + 3*a + 4*a + a - 3*a + (0 - 4 + 2)*(4*a + 2*a - 4*a) to c*a + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 188711099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 - 129\/2. Sort -1\/6, j, 0.4, 8\/3 in descending order.\nAnswer: 8\/3, j, 0.4, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1741*f**3 - 5560*f**3 - 9221*f**3.\nAnswer: -16522*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 770, 1535, 2300, 3065, 3830, 4595?\nAnswer: 5360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 766 = 20. Suppose -4*b + 6*b = -4*y + q, 3*b + 344 = 5*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) 1 (b) -0.2 (c) -4\/25 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, d: 1, h: 1, p: 1, q: 1, v: 1}. Give prob of picking 1 q and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 0.0688, 0.4, 2\/15, -4\/5 in descending order.\nAnswer: 2, 0.4, 2\/15, 0.0688, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 - 0.98. Let j = 12.82 + -10.7. Let t = j - n. Which is bigger: 0.5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yucliyul. What is prob of picking 1 l and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**4 + d**3 - 2*d**2 + 1 - 1\/2*d**5 - 1\/2*d = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - 3.05. Let x be (-1)\/6 - 22\/(-6). Put i, -3\/2, x in descending order.\nAnswer: x, -3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58*q + 62*q + 0 - 14)*(-2*q**3 + q**3 + 2605 - 2607) in the form c*q**4 + l*q**2 + y*q**3 + t*q + z and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) - (-605)\/1650. Let q(i) = -2*i - 10. Let f be q(-7). Let h be 4\/((-36)\/33) + f. Which is the nearest to h? (a) -0.2 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 18908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9829 or 9830?\nAnswer: 9830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/65 or -2?\nAnswer: -6\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 39.895. Let o = -9.885 + f. Let m = 10 + o. What is m rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9736 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**3 - 4*c**2 - 2*c - 4. Let r be l(5). Find the common denominator of 1\/(-3) - r\/96 and (230\/(-36))\/5 - 3.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 136, -4, 528, -298.\nAnswer: -298, -4, 0, 3, 136, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*35*10\/(-200). Let v be (-18)\/4*266\/(-3). Calculate the highest common factor of d and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -202, -226, -224, -190, -118, -2?\n\"Answer: g**3 + 7*g**2 - 52*g - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2.4. Let u = 56 + -58. Which is the smallest value? (a) y (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -10, 0.9, -1, 26 in descending order.\nAnswer: 26, 0.9, 0.4, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -2\/15, 30, -0.42, 5\/6, -10 in descending order.\nAnswer: 30, 28, 5\/6, -2\/15, -0.42, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 14 = -f, -174 = f - 170. Let u(q) = q + 1. Let t(c) = 14*c + 18. Let x = -74 - -38. Determine n*t(j) + x*u(j).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 682 + 0*d**2 - 266 + 4*d**2 - 416.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/16247 and -46\/69182047.\nAnswer: 484274329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 15. What is the remainder when 42 is divided by n(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -13. Which is the nearest to -2\/3? (a) m (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15897492 and 25350?\nAnswer: 397437300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -581? (a) -2 (b) 0.1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 20 = 7*s. Is 5 a factor of 306\/s - (2 + 21\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 13*k**3 - 2*k**2 + 1. Suppose 0 = 2*f - n, -5*f + 5*n = -4 + 9. What are the prime factors of h(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1 - 3. Let h = 1553\/6 + -545\/2. Let t = 199\/15 + h. What is the closest to f in 0.4, -0.5, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11256977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgqg when four letters picked without replacement from {q: 7, g: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/8 + 305*w\/4 + 4303.\nAnswer: -(w - 662)*(w + 52)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 65570.7 to the nearest 100.\nAnswer: 65600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 3.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 15*w - 74. Let q be n(-19). Solve 3*j + 5 = -4*l, -q*j + 2*l + 0*l = -6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112c31b (base 14) in base 15?\nAnswer: ab8073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 20*p - 10. Let v be n(19). Suppose -5*w + z = 3, -w - 3*z = w - v. Suppose 0 = a + 5, -2*a - 2 - 2 = 3*o. Which is smaller: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 4022\nAnswer: 3\/4022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*y - 5*y + 3*y)*(-y + y + 2*y**2) + y**3 - 2*y**3 - 2*y**3)*(3 + 2*y**2 - 3) + 0*y**3 + 0*y**3 + y**5.\nAnswer: -13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1835, 1825, 1809, 1787, 1759, 1725, 1685?\nAnswer: 1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -3*y**2\/2 - 11*y + 10. What is the first derivative of h(i) wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*w - 4*f, -4*w - 2*f = -7*f - 42 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1916, -1914, -1910, -1904, -1896, -1886, -1874?\n\"Answer: t**2 - t - 1916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 divided by -5?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 9*m + 9. Calculate z(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1691 - 0?\nAnswer: 1691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265710 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 209\/86*(-1302)\/(-7). Let s = m - 452. Let v = 95\/387 - s. Is v less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*n**2 + 1 + 1416*n**2 - 1 - 292*n**2 - 78*n**2.\nAnswer: 640*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 - 7*f + 6. Let u = 7 - 3. List the prime factors of w(u).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 3, -23, 1, -4.\nAnswer: -23, -4, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2011 + -354. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from {c: 3, j: 2, f: 1, b: 6, a: 5}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u + 29. Let f(o) = o - 7. Suppose 16*p = -26 - 6. Calculate p*a(q) - 9*f(q).\nAnswer: -q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 989*x - 2289 = -4267 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*t + 5 - 19*t - 10*t**4 - t**3 - 1 in the form h + m*t**4 + d*t + l*t**3 + w*t**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -78, -189, -346, -549, -798?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 + 5*i**2 - 1098*i - 3270. What is b(-3)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 3*b + 3. Calculate w(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24828 - -10816. Does 133 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 2*f**2 - 3*f + 4. Calculate w(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y*y**(-1\/4))\/y*y*y**(4\/7)\/y*y**(-1\/4)*((y*y**(1\/10))\/y)\/y assuming y is positive.\nAnswer: y**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**5\/((n**(-2\/5)\/n)\/n))\/(n**(-1\/2)\/((n\/n**5)\/n)))**27)**(1\/7) assuming n is positive.\nAnswer: n**(783\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.5 + -17. What is the nearest to -2\/3 in -2, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 3 = -17*h. What are the prime factors of ((-340)\/30)\/(h\/6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/2 + 23*x**3\/2 + 21*x**2\/2 - 23*x\/2 - 11.\nAnswer: (x - 1)*(x + 1)**2*(x + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, 812, 5, -4 in decreasing order.\nAnswer: 812, 177, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 8 = 2*m + 2*s, -3*s - 8 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56 in 3, -4\/3, 14, 13\/6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + n + 8 = 0, -5*m + 1 = -4*n - 1. What is the second derivative of 20 - m*o**5 - 2*o + 0*o - 20 wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mld when three letters picked without replacement from aaamlald?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcqpcfta. Give prob of sequence qf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 - 6*k**5 - k**5 + (4*k + 0*k - 2*k)*(-k**4 + 4 - 4).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k. Let z(b) = b**3 + 4*b**2 - 7*b. Let a be z(-5). Let g(i) = 10 - a - 2*i. What is g(l(x))?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**4 - y**2 + 2*y**4 + 3*y**2 + y**4 - 18*y**3 to i*y**4 + q*y + k*y**3 + n + a*y**2 and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 122*n - 15*n + 25*n**2 - 22*n**2 + n**2 + 3*n**2 - 2*n**2 + (-1 + n + 1)*(2*n + 3 - 3).\nAnswer: 7*n**2 + 107*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1270*d + 2166*d + 198*d)*(-4*d + 4*d - 2*d**2) as p*d + f + i*d**3 + w*d**2 and give i.\nAnswer: -7268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237905, -951516, -2140867, -3805958?\nAnswer: -5946789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4324 + -4161. Solve 0 = 154*j - v*j - 54 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 80 + -20 + (14 - 9)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1628361?\nAnswer: 1\/542787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -350, -360, -370, -380, -390?\n\"Answer: -10*a - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -2, -3\/5, -37?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 x, and 1 n when three letters picked without replacement from ixnxnxxxxx.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 7, -2 in ascending order.\nAnswer: -2, 5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10035 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 552 and 116656.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 749916744 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: Evaluate -4 + (-3 - -4) + -1 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q - q - 11*q)*(0 + 0 + 1)*(2 + 0 + 0).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*(-276)\/92\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2. Let h(f) = 685*f. What is w(h(o))?\nAnswer: 1407675*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2311200 (base 5) to base 16.\nAnswer: -a1d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 47 = a - 3*d, 4*a + 174 = -2*d. Let j = a + 29. Let o = 3 - j. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/4 + 1079*d**3\/4 - 9603*d**2\/2 + 28701*d - 57294.\nAnswer: -(d - 1061)*(d - 6)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 11 = 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -15559\/15?\nAnswer: -15559\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9142 - -9152. Solve -3*r - 22*d = -21*d - l, 2*d = -r + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40443 by 3936.\nAnswer: -13481\/1312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2295)\/(-3315)*962\/(-13764)?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than -150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 621 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7\/4, 0.4, -0.6, -1\/4, 3 in ascending order.\nAnswer: -0.6, -1\/4, 0.4, 1, 7\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-28 - 6) + 16).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = 5*m + 48. Let b = m - 36. Is 493*b\/(-10)*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -470443 - 309482. Suppose -4*z = 2*v - 312010, -2*z - 3*v = -4*z + x. Round z to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkpkkkpkkkkkkkkkkkk. Give prob of picking 1 k and 1 p.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -90 (c) 0.8 (d) 0 (e) 172 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 0.3, 2, -1\/6, 1\/5 in descending order.\nAnswer: 2, 0.3, 1\/5, 0.05, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1795 divided by -3.\nAnswer: -1795\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347 a factor of 4779156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2904)\/(-1694) + (7272\/(-28))\/(-6)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2071340 - -3394898. Let x = -376442 - g. Round x to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**3\/4 + 19777*l**2\/4 - 123751*l + 227723 = 0?\nAnswer: -19802, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7320848.9 rounded to the nearest 100000?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -456 divided by -4\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Suppose 20*y - 19*y = -111*y. What is the closest to -0.1 in m, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4372*w - 2*h - 60 = -4374*w, -h - 28 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:43 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 41*z + 215. Let b be r(-5). What is the greatest common factor of b and 1092?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2428185.6 microseconds to minutes.\nAnswer: 0.04046976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 2:50 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3676 (base 9) to base 16\nAnswer: -ab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 687\/(-3893)*2\/6?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*z + 105, -5*d + 249 + 301 = 5*z. Suppose -5 = -5*t + d. Calculate the remainder when t is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -1\/12 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 2*v. Let g be n(4). Let x be (-20)\/10 + -5 - (6 - (4 - -257)). Calculate the greatest common factor of x and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111221110 + 1020210?\nAnswer: -1110200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 7?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 - 2*g**2 - g**2 - 5*g**2 + 9*g**2 - 2*g**2 + (-6*g + 4*g - 5*g)*(4*g + 3*g - 5*g))*(0*g**3 - 2*g**3 + g**3).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 91 - 10. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1844 - -1501. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16\/65 + -6\/65. Suppose 0 = b + 4*c + 28, 0 = b - 0*b - c + 28. Let p be 8 - 12 - b\/2. Which is bigger: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from dxdddzddddd?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10070 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -78*j - 70*j + 3*j**2 - j**2 + 148*j. Let v(r) = 3*r - 3*r + 19*r**2. What is v(n(d))?\nAnswer: 76*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -75643 at most 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36 + -33 + (2 + -1)*0. Suppose 2*f - 9 = -3. Suppose -f + 2*r + 4*r**2 + o + 2*r**3 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 0 + 0*m + 17*m**2 - 17\/12*m**4 + 17\/3*m**3. Differentiate v(y) with respect to y.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 49*x**3 - 3*x**2 - 7*x. Let i(a) = -24*a**3 + a**2 + 3*a. Let m(s) = -2*f(s) - 5*i(s). Is m(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -45 - 45. Suppose -f + l = -4*f. Let z be f*(-1 + (-2)\/(-6)). Solve z*o - 3 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, o: 5, k: 4, u: 3}. Give prob of picking 1 x, 1 o, and 1 u.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 - 1 + 1 + (-496*q - 27*q**3 - 4*q**2 + 496*q)*(-2*q + q + 3*q).\nAnswer: -53*q**4 - 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z - 4*a = -8, -4*a = 4. Suppose 16 = z*i - 0*i. Suppose 4 = y, 3*c + i*y + 28 = 7*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34145 is divided by 76?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -36*m + 168, 5*t = m + 5565 - 5529 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 + 9*i - 2. Let w(m) be the second derivative of m**4\/12 - m**3\/6 + m**2\/2 + 2433*m. Determine -p(k) - 4*w(k).\nAnswer: -k**2 - 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -5, -9 in decreasing order.\nAnswer: 5, 4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -8574271.3 to the nearest 100000.\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, o: 1, v: 2}. Give prob of picking 1 u and 1 o.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 18 = -0*k. Let b(q) = -5*q + k*q - 4*q. Let j(s) = -3*s. Calculate j(b(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60306?\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 8*r**2 - 12*r + 3. Let k be p(-6). Suppose g - 4 = 3*t - k*g, -4*t + 8 = -2*g. Solve 0*h = -3*h + 2*y - 16, y = t*h + 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(0 + (2 - 0)). Suppose 3*a - 90 = -n*a + 3*w, 0 = -w + 5. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-9))\/(168\/108).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/15 + 2*i\/5 - 12\/5.\nAnswer: 2*(i - 3)*(i + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1968916 = 3*x, -841 = -z - 845. What is x rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a - a - 3*a)*(-645 + 1330 + 481 + 822).\nAnswer: 5964*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*q = 20, 67*q - 16 = -4*l + 70*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-36))\/(2799\/(-945) + 3).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11902 rounded to the nearest 100?\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 5*k**2 - 10*k + 10. What is j(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5039\/4 - -1269. Let w be (2 + (-39)\/20)*-179. Let b = w + f. What is the common denominator of b and -43\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 i when three letters picked without replacement from {a: 1, c: 4, i: 4, n: 3, v: 1}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3334.536 litres to millilitres.\nAnswer: 3334536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3\/5 + 62*q**2\/15 + 104*q\/15 + 56\/15.\nAnswer: 2*(q + 2)**2*(6*q + 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 437\/3 + (-12)\/18. Let m = 128 - d. Let t(q) = 23*q + 20. Let k(u) be the second derivative of -4*u**3\/3 - 7*u**2\/2 + u. What is m*k(p) - 6*t(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) 6 (c) 0.49 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16883 divided by 6\nAnswer: 16883\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 - 5*t**2 + 2*t - 15. What is the hundreds digit of y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46171*b + 940 = 46077*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 7*g + 12. Let x be (-1 + 3\/4)*(52 + -80). What is the remainder when z(x) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 32 = 4*d, 0 = 2*c - d - 37. Suppose 2*h = 5*h - c. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400.35 rounded to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125515340 - -3?\nAnswer: -125515333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 15*q + 4390 = -19*q, -5*y - 2*q + 21972 = 0. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -12*h + 15*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, -39, -86, -161, -270, -419?\n\"Answer: -i**3 - 5*i**2 - 3*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 6\/17, 45?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2 + sqrt(300) - sqrt(300))*-6)**2 - (1 + 2 + -3*sqrt(300))**2.\nAnswer: -2660 + 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 599438.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 17*x + 184. Let r be j(-7). Let p = r - 65. Solve 0*y - 2*y - f + 12 = p, -f = -y + 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 28180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*n**6 + 2*n**4 + 17*n**2?\nAnswer: -10680*n**3 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 8 = -3*q - 0*q, -q - 3 = 0. Is i less than or equal to -390\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103333 (base 5) in base 13?\nAnswer: -1835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 642044.6 millilitres in litres?\nAnswer: 642.0446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + g - 1. Let y(w) = 21*w**2 - 4*w + 4. Let s(h) = 4*i(h) + y(h). Let k(t) = -8*t. Calculate k(s(p)).\nAnswer: -136*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6516 and 2090912.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3 - 81*i**2 + 3*i + 81 = 0?\nAnswer: -27, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 12808 = -2096. Let j = -508 - h. What are the prime factors of j?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**5\/4 + 135*r**4\/4 - 609*r**3\/4 + 345*r**2\/4 + 153*r - 120 = 0?\nAnswer: -1, 1, 4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -u + 14, -3*b - 5*u = -2*u - 18. What is the units digit of b\/(-3) - (-44)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**5 - q**4 - 6591*q**3 - 497369*q**2 - 3*q?\nAnswer: -120*q**2 - 24*q - 39546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0127 and 3.493.\nAnswer: 0.0443611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/3999 and 47\/30.\nAnswer: 39990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 57*m + 6. Let q(i) = -8*i - 1. Give 2*f(t) + 15*q(t).\nAnswer: -6*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/5 - 2*k**2 - 17*k\/5 - 8\/5.\nAnswer: -(k + 1)**2*(k + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q*q*q)**(-26) assuming q is positive.\nAnswer: q**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 2*m**2 - 5*m - 2. Let h = 456 - -734. Suppose -11*u = -h + 167. Suppose 0 = -u*d + 95*d + 6. Calculate r(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3))**(-14))**(-15\/2)\/(((q*q\/(q*q**6*q)*q*q)\/(q**(1\/5)*q))\/(q**(-1\/8)*q*q*q*q**(3\/7))) assuming q is positive.\nAnswer: q**(21981\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 27*y + 145. Let z(p) = -22*p - 144. Determine 5*t(r) + 6*z(r).\nAnswer: 3*r - 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540197 is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*4)\/((-3)\/3). Suppose -5*r + 19 = 3*i, -u*r - 2*i + 0*i + 14 = 0. Let d = r - -3. Is d less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146 + -152. Which is the biggest value? (a) n (b) -0.3 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 9:25 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -13 - (2 + 1 - (-4 + 1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50.89 - 51.39. Which is the second biggest value? (a) t (b) 618 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 708719, 708789, 708859, 708929, 708999?\nAnswer: 709069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 10*a = k + 10, -15 = 3*k + a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1601 + -5?\nAnswer: 15b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 g when three letters picked without replacement from gggggwuwugwwuuw?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - 2*c**2 - 2*c**2 + 21 - 23 to the form j + h*c + t*c**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 8932 = -7*p + 8998 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 4:05 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -12250*y**2 - 4*y + 8. Let f be d(2). Round f to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f**2 + 13*f - 28. Determine d(5).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/22 - (96\/44 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2 - 14\/(-4)). Let c be (m - 1) + (-110)\/(-11). Suppose 2*a + 3 - c = 0. What is the third biggest value in 5, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24703 is divided by 12346?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*q - 0*q + 1358, -5 = 5*q. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4 - 30\/(-20))\/(-2). Let j = s + 17. Solve 2*y + 1 = 3*w + j, 4*y + 25 = -5*w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14827, 1029, 2.\nAnswer: -14827, -4, 2, 1029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 9187360?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -216*u**3 - 19*u**2 + u - 16. Let t(v) = -162*v**3 - 14*v**2 + v - 12. What is -8*n(f) + 11*t(f)?\nAnswer: -54*f**3 - 2*f**2 + 3*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 39. Let w = 244 + l. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w - 6. Let t be (-2)\/(-7) - 52\/(-14). Let p(j) = 0 + 3*j + 2*j - t*j + 1. What is 11*p(g) + 2*v(g)?\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(18\/4 - 5). Suppose -3*j = 4*u - 7, 6 = 2*j + 6*u - 4*u. Suppose -v = -j*r + 4. Solve 1 + 1 = -r*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 9. Let t = 178\/9 + -20. Let o = -0.036 + -2.964. Which is the second biggest value? (a) o (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/(2\/(-6)). Let x(d) = d + o*d - 5*d. Let m(h) = h. Determine m(x(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162483 and 9126789?\nAnswer: 3963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 16. Let g(q) = -q**3 + 8*q**2 - 10*q + 6. Let p be g(7). Let z be u(p). Which is greater: -5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286807414?\nAnswer: 2, 103, 1392269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 24. Suppose 4*s = 47 + i. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332215 to the power of 1\/2, to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -20. Suppose -2*f - f - 5*s + 17 = 0, -5*f + 17 = -3*s. Calculate the remainder when b is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d - 2*d + 2*d - 3*d + 3*d + (2 + 1 - 4)*(d + 0*d - 2*d) - d - d + d)*(-4 + 4 + 5)*(-3 + 0 + 5).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/27078 and -143\/6.\nAnswer: 27078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 11 + 829*k - 841*k + 14*k**2 + 26 + 19. Is n(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200042517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 6:36 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430850 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872 is divided by 227?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 4 + -5 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o - 2*o**4 + 0 - 1 - 2 to z*o**2 + g + k*o**4 + h*o + a*o**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 470048 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(0*y + 3*y - 5*y)*(-y**3 - 3*y**3 + 8*y**3).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25601492549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2790 and 223676160?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -49, -189, -423, -751, -1173, -1689, -2299?\n\"Answer: -47*y**2 + y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 - 21.837?\nAnswer: 349.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 6*v + 39, -3*h - 19*v - 7 = -21*v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3)\/v)\/v)**(1\/16)\/(v*(v\/v**(-4\/3)*v*v)\/v*v)**(-1\/8) assuming v is positive.\nAnswer: v**(17\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**2 + 2*k**2 - 5 - 11*k**2 + 4*k**2.\nAnswer: -13*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/(-12) + -8 + (-14)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - 4545\/(-75) - 2\/(-5). Suppose 2*x = 7*x - 215. Let n = f - x. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43701362?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 10:31 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*n + 6, 2*a + 5*n - 18 = -0*a. Suppose -3*z - 11 = -a*d, -z + 4*z + 20 = -5*d. Let g = 10 - z. Calculate the greatest common factor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1124108883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 5\/4, 1.5, 6, 1\/1989 in decreasing order.\nAnswer: 6, 1.5, 5\/4, 1\/4, 1\/1989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x**(3\/5)*x)\/x)**40 assuming x is positive.\nAnswer: x**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 7*l**2 - 12*l.\nAnswer: -l*(l + 3)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1544 and 24?\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdbbbdbd. What is prob of sequence dd?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 134, 342, 644, 1040, 1530, 2114?\nAnswer: 2792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 42, -2 in decreasing order.\nAnswer: 42, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:04 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 53*z - 321. Determine b(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**4 - 2401371*h**2 - 25119130*h wrt h.\nAnswer: -24*h**2 - 4802742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 0*c**2 + 2*c**2)*(2*c**2 - 2*c**3 - 2*c**2) - 15*c**5 + 6*c**5 - 6*c**5 - 135 + 135 - 3*c**5.\nAnswer: -14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*l - 271 = -0*l, 4*t - 4*l = 388. Suppose -3*o = 0, 3*u + 2*o - t = 2*u. What are the prime factors of u?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 45*g - 5 + 1 + 97*g + 62*g.\nAnswer: 204*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1990.\nAnswer: 2\/995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 13 = 4*z, -4*z = y + 159 - 150. Which is the second biggest value? (a) -34 (b) -11 (c) -3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92720?\nAnswer: 2, 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.09, -4, -1, 0.4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3)*(-6)\/(-1). Suppose c = j*c - 3. Let z be (c\/2)\/(6\/60). Let n(y) = -y**2 + 4*y - 1. Calculate n(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**6\/30 + 3*a**5\/2 - 5*a**3\/3 - a**2 - 110*a. What is the second derivative of h(m) wrt m?\nAnswer: 12*m**2 + 180*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 1, s: 1, k: 1, i: 1}. Give prob of picking 1 k and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 331644362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**2 + 2*u - 1. Let b(z) = -19*z**2 + 6*z - 3. Suppose 6*i + 2*i = -64. Let s be (42\/i)\/((-36)\/48). What is s*c(q) - 2*b(q)?\nAnswer: -4*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 10 = 4*x + 54, -2*u + x = -142. Calculate the smallest common multiple of u and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4457, 8998, 13555, 18134, 22741, 27382, 32063?\n\"Answer: m**3 + 2*m**2 + 4528*m - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5*-45353\nAnswer: -226765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 16*m - 1. Suppose 2*p + 2*b + 22 = -2*b, -4*b = 5*p + 61. Let d = -12 - p. What is the units digit of v(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 6*h - 16. Suppose -4*j - j = -4*y - 599, h*j + 2*y = 236. Let z = j + -89. What is the highest common divisor of z and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142 by 103.\nAnswer: -142\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 - ((7 - 4) + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1 + 4 + 0 - 5 + (-2 + 2 + 2)*(7 - 17 + 6) - 3 - 3 - 10)*(g + g - g).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 144 + -139. What is the first derivative of -4*k**2 - u*k**4 + 6*k**4 - 25 + 6*k**2 - 5*k**4 wrt k?\nAnswer: -16*k**3 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2100) + -1*sqrt(2100))\/sqrt(7))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/45 - 129\/5. Let o = i + 60. What is the highest common divisor of 85 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = v + 4*r, 0*v = 4*v - 2*r - 2. Solve -2*i = -5*p - 29, -p - 4*i + v + 2 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -19*k + 3. Let v(t) = -9*t + 2. Let b(f) = -3*m(f) + 5*v(f). Let r be 0\/5 - (1 + -5). Let x be b(r). Calculate the highest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1529922 divided by 1.\nAnswer: -1529922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -16, 1, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 - 0.98. Let a = 0.7 + x. Let z = -0.9 + 1. Is a greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -63188\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -2, -10 in decreasing order.\nAnswer: 9, 2, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r = -3970 + 139537. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.02 - 19938930791\nAnswer: -19938930790.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 35286.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58695 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 21*a**2 + 1113*a - 9. Let x be o(-53). Let w(d) = -39*d + 4. Let u(q) = -10*q + 1. Determine x*u(i) + 2*w(i).\nAnswer: 12*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 3:06 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418764.\nAnswer: 2, 3, 34897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 9616?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29368 and 58372571.\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 344121203?\nAnswer: -344121214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 7\/2*v**2 - 28*v - 16. What are the prime factors of z(9)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(17) - -3*sqrt(17))*-6.\nAnswer: -24*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 + -0.07352?\nAnswer: -3.27352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/sqrt(2)*3)**2 - sqrt(5)) + 5 + (-2 + -5*sqrt(10)\/sqrt(2))**2.\nAnswer: 19*sqrt(5) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18939454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6980 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954917827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 44 - 113. Let w = -8 + m. Suppose -2*c - 18 = -3*u - 5*c, -5*c = u + 6. What is the remainder when w is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, p: 5, c: 1, l: 6}. What is prob of sequence pcp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c**15\/c)\/c*c)**27*(c*c\/c**(-3\/5))**(-1\/2) assuming c is positive.\nAnswer: c**(4307\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 133, -1, 0, -2, 32.\nAnswer: -4, -2, -1, 0, 3, 32, 133","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 614342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(7*i - 24*i + 34*i)*(3*i**2 - 5*i**2 + 3*i**2).\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -12. Let d be 2*(-2)\/(-4)*-3. Let h = d - -12. What is the remainder when h is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 2*h = 3*c, -h = -3*c + 9. Let o be -2 - (-2 - (c - 2)). Which is smaller: o or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 210959*p**5 + 11*p**3 + 18452844*p?\nAnswer: 4219180*p**3 + 66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**3\/3 - 5*v**2\/2 + 21. Calculate l(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-7)\/22)*-7*(-4)\/56?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 806?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-160))\/(12\/(-64))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3587*u + 10760. Determine f(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -51.9, 5, -2\/2241, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, h: 5, o: 3}. Give prob of sequence ogo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*399\/(-57)*26\/(-7462)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x + 2*x**3 + 484 - 479 + 25*x**3 as m + j*x**3 + t*x**2 + b*x and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 746230741?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(4*(-3)\/(-36)). Suppose 3*g - 4*g = 1. What is the second biggest value in g, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 599117 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaia when four letters picked without replacement from hhaaeaheiaaiiaaa?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 27 - 7)*(1 + 1 - 3)*(l + 4*l - 4*l)*(0 + 1 + 3).\nAnswer: 120*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 453 by 3835.\nAnswer: 453\/3835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1800 and 450?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from qylillyqixllqln.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(275) - (sqrt(275)*-2 + sqrt(275))*-2 - sqrt(275))**2) + ((sqrt(275) - (1 + sqrt(275) + 0)) + sqrt(275) + 5 + -4)**2.\nAnswer: -3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/495009 or 0?\nAnswer: -31\/495009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -q + 2*u - 4, -4*q - 4*u = -24 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2576 and 2576?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1518, 5938, 13264, 23496, 36634, 52678, 71628?\n\"Answer: 1453*a**2 + 61*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*o + 7301 + 6652 - 3511 = -4318 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 7 = 3*l - 3*f, -5*l + 33 = -4*f. Which is the nearest to 2? (a) 1\/4 (b) -0.24 (c) l (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.015 in 2\/81, 1, -71, -1\/2, 2?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-61)\/(-6) - ((-85)\/30)\/(-17). Suppose -q = 10*t - 60. Factor 430*i + 4*i**2 - t*i**2 - 1 - 3*i**2 - 426*i.\nAnswer: -(2*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 20*m**2 + 6*m - 6. Let r(a) = -19*a**2 - 5*a + 5. Let t(g) = -4*k(g) - 5*r(g). Calculate t(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 6. Let z be k(-18). What is the highest common divisor of 16 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 13*v**7\/21 - v**5\/30 + 5*v**3 - 27*v**2 + 3. Find the first derivative of o(x) wrt x.\nAnswer: 520*x**3 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 4:56 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - 99 - (3 + 12)) + 5?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 2*z**2 + z. Let b be c(-1). Suppose 4*w - 12 = 2*w. Solve b = -w*j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-414)\/351 + (-14)\/91)\/(0 + 80\/(-3300)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -20.1 (c) -122\/5387 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*t + 11 - 51 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000277568474 to seven dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.2777339 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -29b (base 15) to base 11\nAnswer: -4a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(91\/(-14)))\/((-2)\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142152526 (base 7) to base 8.\nAnswer: -43443002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/4)*(h*h**10)\/h)\/(h**(-1\/3))**(8\/9))**46 assuming h is positive.\nAnswer: h**(27439\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24, 43, 52, 45, 16, -41, -132, -263?\n\"Answer: -x**3 + x**2 + 23*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46123.\nAnswer: 7, 11, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30044 (base 5) to base 11.\nAnswer: -1477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330768*r = -330544*r + 5600 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208746*g**2 + 2474746*g wrt g?\nAnswer: 417492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -6.7. Let c = -0.2 - z. Let t = 0 - -3. What is the nearest to 1 in c, -0.5, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276000\/27750 - (-8)\/444?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 minus 219806521?\nAnswer: -219806534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + y - 45 = -5*a, -2*a + 3*y = -19. Let t(m) = m**3 - 13*m**2 - 12*m - 13. Does 3 divide t(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747201864 less than -18684?\nAnswer: -1747220548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.18 - -11. Let v = 36.82 - p. Let k = v + -36.999938. Round k to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.4 (c) -1 (d) 8326.6 (e) 2\/3 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -13*m - 178. Let z be (-456)\/(-19)*4\/(-6). What is the remainder when 114 is divided by w(z)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121 and 36209426.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y**2 - 2*y. Let b be o(2). Suppose 4*i + 12 + 59 = 3*p, i - 33 = -p. Let g = b - p. Calculate the remainder when g is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(72).\nAnswer: -3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 83. Let h be p(13). Let n = 116 + h. Suppose -3*y + 2 = -4. Calculate the lowest common multiple of y and n.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4*v**4 + 892*v**2 + 6600*v + 12096 = 0.\nAnswer: -8, -7, -3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222 divided by 1.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2) + (-78)\/(-1). Suppose -2*p - 69 = -0*y + 5*y, 0 = -4*p - 2*y - 146. Let z = b + p. Calculate the remainder when z is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -15. Calculate the remainder when 26 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -343*c**2 - 77. Let j(w) = 9*w**2 + 2. Give 4*d(g) + 154*j(g).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 17*y + 1. Let d be v(1). Suppose 5*n - 10 = -3*p + d, 0 = 4*p - 5*n - 14. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.29 - -0.29. Let r = c - -22. Let w = 7.927 - 7.827. What is the smallest value in w, 5, r, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 16. Let i be w(13). Suppose 3*j = 6 + i. Solve c + 1 = -j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534*d**2 - 535*d**2 + 5 - 9 + 648*d.\nAnswer: -d**2 + 648*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**2*s**5 + 18*q**2*s - 69*q*s**5 + 3*q*s**2 - 4*s**2 wrt s?\nAnswer: 60*q**2*s**2 - 4140*q*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -36. Suppose -2\/9*f**3 + 2\/3*f**t + 2\/9 - 2\/3*f = 0. What is f?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 5 + (-41)\/(5412\/768)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8640.559 litres in millilitres?\nAnswer: 8640559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 6, t: 8}. Give prob of picking 2 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5700 and 18528.\nAnswer: 8800800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*v - 771 = 13*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(-4))\/k)*k)**(-3\/8)*((k\/k**(-8))\/k)**9 assuming k is positive.\nAnswer: k**(279\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.90821 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 1.03 in ascending order.\nAnswer: -4, -1, 1.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1184 divided by 37\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -204*g**3 - 7*g**2 - 90*g - 180. Calculate v(-2).\nAnswer: 1604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 2733?\nAnswer: 125718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, -2, 30.6, 1\/3?\nAnswer: 30.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -74034686 and 0.833.\nAnswer: -74034685.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 127 (b) -1 (c) 1\/6 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1384, -2814, -5198, -8536, -12828?\nAnswer: -18074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = d - 3, 3*g = -g + 4*d - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -1\/20*a**5 + 2*a**2 - 1\/12*a**4 + 0 + 0*a**3 + 0*a. Find the second derivative of q(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -165 + 189. Suppose c*h - 36*h = -6192. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k + 86 = 4*f, f = -2. Let w = -67 - k. Calculate the highest common factor of w and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965774700?\nAnswer: 2, 3, 5, 11, 97553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522*f - 14 = 520*f. Suppose f*x = -2*x. Factor x - 2\/9*o**4 + 2\/9*o**2 + 0*o**3 + 0*o.\nAnswer: -2*o**2*(o - 1)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -38. Let z = n - 10. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2067.99 from 1.\nAnswer: 2068.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y. Let c(g) = 153*g**2 - 11. Let r(n) = 10 + n - 51*n**2 - n - 6. Let q be (-11 - 5)*28\/112. Let v(f) = q*c(f) - 11*r(f). What is k(v(b))?\nAnswer: -102*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 + 8*t**2 - 2*t. Let f(r) = -2*r**3 - 7*r**2 + r. Let w(p) = 4*f(p) + 3*z(p). Find a, given that w(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 4 = 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 420354, 420349, 420344, 420339, 420334?\nAnswer: 420329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52\/9743 or 0?\nAnswer: -52\/9743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8343156 * 0.09.\nAnswer: 750884.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.46 + 1.46. Put 0.1, 0.3, n in descending order.\nAnswer: 0.3, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1 - 3. Let z = -17 + 10. Let d be (1\/(-4))\/(z\/(-14)). What is the smallest value in d, f, 3\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, 3, 34, 101, 216?\n\"Answer: 2*t**3 - 7*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 184 + (43 - 391\/17). What is the highest common factor of g and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5\/12, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + s + 6. Let m be w(0). Let b be 1\/m + (-2)\/12. Suppose 0 = -5*i - b*i + 40. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -41*c**4\/4 + c**3\/3 - c**2\/2 + 3*c. Let r be a(1). List the prime factors of (-2)\/10 + r\/(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.29967 kilograms to tonnes.\nAnswer: 0.01029967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.5 - 29. Let x = m - -8. Put 3, 0.1, x in decreasing order.\nAnswer: 3, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -3.6.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-8)*l)\/l**(-12)*(l*l\/(l\/(l\/(l**(-11)*l))))**(-25) assuming l is positive.\nAnswer: l**(-277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 529528533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**5\/60 + q**4\/4 - q**3 + q**2. Let i be k(4). Solve 6 = i*p + p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wixykxxkyyxxokywiyx. Give prob of sequence ywxk.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 64 + 7 + (1 - -3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4*u = -32, 3*u = -3*y + 5*u + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28, 25, 20, 13?\n\"Answer: -r**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17448730367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -630410 (base 12) in base 13?\nAnswer: -4261b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 + 26*n - 5. Let f(t) = -t**2 + 13*t - 2. Let s(b) = -5*f(b) + 2*i(b). Find the second derivative of s(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1691 or 5.2?\nAnswer: -2\/1691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3900 and 923000?\nAnswer: 2769000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - -12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/2*(-84)\/(-105))\/(-2). Let c(p) = -p**2 + p + 1. Let x(y) = 21*y**2 - 15*y - 15. Give j*x(l) + 15*c(l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 4. Let g(h) = -h**2 + 6*h - 3. Let v be g(4). Suppose 1 - v = -w. What is the units digit of q(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*j = -5*x + 76*j + 789, -x + 129 = -5*j. Solve -171 = -4*q - x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c = -62*c + 32*c - 364 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29170 and 0.3?\nAnswer: 8751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20033133323 (base 4) to base 12.\nAnswer: 88244b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0\/(-5) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5*j - 35 - 10, -21 = -x + 4*j. Solve x*q = y + 13, 2*y + y = 2*q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624.033 months in millennia?\nAnswer: 0.05200275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24517584 by 1638.\nAnswer: -14968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3116653 (base 9) in base 6?\nAnswer: -55403333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 40?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 142*g**3\/7 + 1990*g**2\/7 - 2102*g\/7 - 30\/7 = 0. Calculate g.\nAnswer: -15, -1\/71, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express u**4 + 0*u**3 + u**3 + 0*u**3 - 2*u**4 + 4*u**2 in the form g*u**2 + m + f*u + l*u**4 + c*u**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21685 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*k - 5*m - 28 = 0, -k - m = 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1624 + 5055. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98257235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -9.07. Let s = -28.1 + 27. Let f = s - -1.2. Which is bigger: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7788 - 4800. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 + 6?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in 0, -0.06, -5, 1\/2, 6\/349?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p - 150 = -40*p. Calculate the highest common divisor of p and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59877, -59887, -59899, -59913, -59929, -59947, -59967?\nAnswer: -59989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*d + 7*d + 164172, d = -5*w + 410447. Suppose 9*z - 20070 = w. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + b + 1 - 4, n = -4*b - 1. Let t = -3 + n. Let c = t - -13. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c. Suppose -4*f = -c*f - 8. Let q be 2 + 1 + -2 + f. Calculate the greatest common factor of q and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47174027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 - 15*a**3 - 21 + (4*a**2 - a**2 - 15*a**2)*(-2*a + 2 - 2) - 1 + a**3 + 1.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 292431 = -92823. Let i be (2\/8)\/((-15)\/r). Let w = -830 - i. What is the common denominator of 89\/20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 793007 (base 14) to base 8.\nAnswer: 17554337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69\/16 + 695\/176. Does s = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5804771 rounded to the nearest one hundred thousand?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1694)*3 - sqrt(1694))\/(sqrt(42)\/(sqrt(60)\/sqrt(10))).\nAnswer: -1 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1029 or -1034?\nAnswer: -1029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1\/(-3))*1050\/200\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34173\/7 + -4815. Let l = 67 - t. Let p = 1 + 0. Which is the second smallest value? (a) l (b) p (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1959.5 + 1574. Let w = 386 + y. What is the fourth biggest value in w, 1, -1\/9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 11*m + 14. Let t be o(-1). Suppose 0 = -2*w - 2*r + 14, -5*r + 20 = -0. Solve -w*u - t*c - 21 = -c, 0 = u - 4*c - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 8\/(-6))*12\/(-10). Calculate the remainder when (3 - 1)*r\/((-64)\/(-664)) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 11 + 13*c**2 + 10*c + 0*c + 2*c**3. Let a be s(-12). Let r = -21 + a. Solve 0 = -4*l - 8*u + 3*u - 18, 4*l + r = -3*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 at most as big as -100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18, 63, 146, 273, 450?\n\"Answer: x**3 + 13*x**2 - x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 36 = -0*j. Let g = -9 + j. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/6 + 1331*s**2\/6 - 69974*s\/3 - 200880 = 0 for s.\nAnswer: -8, 124, 1215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19\/18 + -4\/9. Let z(n) = -n + 2. Let f be z(0). Let j be 2\/((f + -1)*-2). Which is the closest to j? (a) -5 (b) 4\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56551 is divided by 27949.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 5*i + 27. Let v be r(0). Differentiate v*u + 2 - 8 - 22*u + 62*u wrt u.\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.173 + 7.827. What is the closest to 1 in -1\/7, -5, -0.3, c?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1879*n**6*z**3 - n**2*z + 728*z**3 wrt n?\nAnswer: -225480*n**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.2316 + -11215\nAnswer: -11217.2316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/3)\/((-4)\/(-10)*-75*(-15)\/(-1350)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0298319 rounded to 4 decimal places?\nAnswer: 0.0298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -139756.\nAnswer: 1\/34939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 75*9\/189 - 4. Which is the smallest value? (a) -0.3 (b) j (c) -130 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 17*a - 2038. Let c be o(59). What is the greatest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:24 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1045, 2091, 3137?\n\"Answer: 1046*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 4 + 7)*(2*y - 2 + 2)*(-150 + 150 + 66*y) to h + c*y + t*y**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 524793*u**2 + 116*u - 1098705408.\nAnswer: 1049586*u + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/33*(-16)\/(-24).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1550784953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 10 - (17 - 8 - 25)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -5*u**2\/2 - 3*u - 47. Let x(z) = -9*z - 5. Let g(o) = -5*t(o) + 3*x(o). Let p(a) = -220*a. Calculate p(g(v)).\nAnswer: 440*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 60\/2*28\/56. Suppose 3 = -3*d + 6*y - y, 3*d + 3 = -2*y. Put d, k, 5, -5 in descending order.\nAnswer: k, 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 5)*(0 - 3 - 2)*(12*d + 57 - 57) in the form k + c*d and give c.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5186887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41176 (base 8) to base 14.\nAnswer: 62bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 3*n + 9, -4*n + 239*p = 241*p + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 500\/217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least -6564.9142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 4254112 - n**2 - 4254108 - n**3.\nAnswer: -n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/217, -4, -2, 1\/2, -12\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*z - 233. Suppose -2*f + z = -8. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -33. Let k(g) = -5*g**2 + 2. Let o(i) = 4*i**2 - i - 1. Let q(b) = 3*k(b) + 4*o(b). Let d be q(m). Let u(s) = -6*s**2. Calculate u(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 20319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*b + 6069 = -1404 - 6397 for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-45)*6*20. Let x = d - 11. Suppose x*c - 22 = -2. Solve 0 = -2*w - 5*k + 2 + 6, 0 = -c*w + k - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 28*o**2 - 2*o - 26. Determine w(-4).\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from muu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**3 + 53*w**2 - 13*w + 7. Is 69 a factor of k(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**3\/3 - 4*a**2 + 13*a - 3. Let p(x) = x**2 - 28*x + 141. Let w be p(6). Give c(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/7 - 632*z**3\/7 - 49926*z**2\/7 + 632*z\/7 + 49928\/7 = 0. What is z?\nAnswer: -158, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -4.9. Let b = 0.7 - 0.2. Let r = b - 0. What is the second biggest value in r, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.4 + -4.4. Let g = -120 - q. Let l = g + 124.000051. Round l to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9292555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*j**2*u**3 - 2858*c**2*j**2*u**2 + 2*c**2*j**2*u - 3*c**2*j**2 - 257091*c**2*j*u**3 - 6*c + j**2*u**2 wrt u?\nAnswer: 6*c**2*j**2 - 1542546*c**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4190375 + -8774.001\nAnswer: -4199149.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/224)\/((1026\/(-63))\/(-19)))\/(1\/(-236)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2 (b) -15 (c) -2\/9 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7.6 (b) 7\/47 (c) -9\/8 (d) 1 (e) -1\/2 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12969698 is divided by 733?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, e: 2}. What is prob of sequence eeoo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*h, -4*c + 5*h - 4*h = 35. Let f = -9 - -12. Let d(b) = -b**3 + 4*b**2 - 4*b. Let t be d(f). Sort t, c, -2 in decreasing order.\nAnswer: -2, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3234457 or 3234458?\nAnswer: 3234458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 12. Solve -c - w*j = 5, 6 = -3*c - j + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2))*-4 + (sqrt(50)*-1 - sqrt(50))**2.\nAnswer: -4*sqrt(2) + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 4*d - 6*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-883*d - 76 + 439*d + 435*d)*(-2*d**4 - 3*d + 3*d) + 0*d**5 - 3*d**5 + 2*d**5 + (3*d - 4*d + 3*d)*(d**4 - 2*d**2 + 2*d**2).\nAnswer: 19*d**5 + 152*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + (-23 + 1 + 11 - (-500)\/60). Solve -2\/9*p**2 - a*p - 46\/9 = 0 for p.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/18)\/(57\/((-1)\/1))*(-26640)\/(-2960).\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -442\/3 - -146. Put j, -1, -3 in decreasing order.\nAnswer: -1, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 32, 56, 88?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90983*w - 2*w**2 - 183632*w + 92649*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 321477673 a multiple of 1115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -879 = -5*u + 4*n, n + 1 = -0*n. Suppose 5*o + 1650 = -5*d - u, -4*o - 2*d - 1458 = 0. Calculate the least common multiple of ((-6)\/4)\/(39\/o) and 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*x - 47*x**2 + 22*x**2 + 30*x**2.\nAnswer: 5*x**2 + 76*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 - 11*y**3 + 15*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1428 = 3*i - 5289, 1282 = i - 4*q. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 11 - 28 + 17 - 837*v**2 + 838*v**2. Let u(b) = -70*b + 88. What is z(u(f))?\nAnswer: 4900*f**2 - 12320*f + 7744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2638*x - 759. Is y(28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1160427*u + 0 + 1158766*u + 0.\nAnswer: -1661*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323245.7335015 + 103.\nAnswer: -323142.7335015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 27*z**2 - 7*z - 623. What is y(-10)?\nAnswer: 2147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -7*s + 6*s. Let a = s - -126. What is the greatest common divisor of a and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12, 9, 4, -3?\n\"Answer: -v**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (34\/9)\/((-25800)\/(-25335)). Let z = -5\/516 + x. What is the common denominator of z and -34\/37?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2336.983*7.3\nAnswer: -17059.9759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2896)\/(-13937))\/(12\/44))\/((-6)\/27)?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(-1*sqrt(153) + 1)*6)**2 + -4.\nAnswer: -216*sqrt(17) + 5540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/1 + 12807 + -1. Find the second derivative of -3 + 12794*m - a*m + 2 + 44*m**5 wrt m.\nAnswer: 880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*v + 717 - 2236 = 43*v for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 536 and 77452?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 11, f: 5, g: 2, k: 2}. Give prob of sequence fyky.\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + -71. Suppose 4*t - 121 - 58 = -5*h, 2*t - 177 = -5*h. Let f = a + h. Calculate the remainder when 17 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46799431 greater than or equal to -46799429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s + 49*s + 61*s - 11*s.\nAnswer: 113*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 11*w**2 - 9*w + 13. Suppose -46 = 3*g - 5*k, -2*g + k = -g + 14. What is the remainder when j(10) is divided by g\/(2 + 2) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 617348 and 4408?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 2. Let z(w) = -25*w + 129. Give 8*l(f) + z(f).\nAnswer: -17*f + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37455 is divided by 6450.\nAnswer: 5205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 0\/(9\/(-3) + 1). What are the prime factors of 303\/6 + 3*1\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 + -2. Let r = n - -3. Let z = 1.49999948 + r. What is z rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 361, 4, -2?\nAnswer: 361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/19201 - 39485\/20794683. Let x be (-4)\/(-14) + 6989384\/(-1334256). Let f = x + p. Find the common denominator of -31\/14 and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 11343 = 3*m, -5*m + 18913 = 1185*b - 1182*b. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + 1.7. Let m = i - 2.2. Let f = -28 + 31. Which is the nearest to -1\/10? (a) m (b) -2\/19 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 855, 581, -209, -1773, -4369, -8255, -13689, -20929?\n\"Answer: -43*s**3 + 27*s + 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 435\/(-195)*(-1144)\/264?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 251 - 107. Let d = 135080 + -135032. Calculate the greatest common factor of n and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.5, -68.69, 4, 0.01, -5?\nAnswer: -68.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7271 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 18*d - 12*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8) - 3\/(-20))*1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/679384 and 47\/3142151.\nAnswer: 25137208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -0 + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3626 + 15875. Is (w\/27)\/(1\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 - 374\/3. What is the third smallest value in -5, -0.2, -41, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25491300 rounded to the nearest 100000?\nAnswer: -25500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-42)*2\/2)\/(24*23\/65136).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36 + -2 - 2\/3*-3. What is the highest common divisor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*g = -13*g - 20635 - 3711. Solve g*s = 512*s + 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15558346604 to the nearest one hundred thousand.\nAnswer: -15558300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 - 8)*(5 + 0 - 3) + 4 - 4 + 1 - 3 - 2 + 9 + (-1 + 4 - 1)*(1 - 1 + 3))*(3*a - a**4 - 3*a).\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 1 - j - 1 + (-4 + 4 + 1)*(-14 + 14 + 7*j) - 4*j + 7*j - 22*j.\nAnswer: -13*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*p**3 + 12367 - 335*p**3 - 12367 - 96*p**2 wrt p.\nAnswer: -1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -185.\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2812*a**2 + 939*a**2 + 111 + 938*a**2 - 26*a**3 + 936*a**2 to the form c*a**2 + t*a**3 + w + b*a and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5649*(0 - 1\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/638297 and 89\/170019110.\nAnswer: 1870210210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 18*c**3 - c**2 + 1. Suppose -222 = -4*w + 34. Suppose 3*v + b - 3*b - 38 = 0, 3*b + w = 5*v. Calculate the least common multiple of l(1) and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 113648368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2450)\/175 + (-41)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + q + 4*q - 3*q + 5 - 5 - q + (-q + 6*q - 4*q)*(-2 + 5 - 1) + 70*q + 3*q + 158*q + (q + 3*q - 2*q)*(3 + 0 - 1).\nAnswer: 238*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 3089 - 569 = 0. What is d rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y**2 + 853*y + 325. Determine z(122).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7385 and -6809.7?\nAnswer: 14194.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37, 65, 93, 121, 149?\n\"Answer: 28*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -184, -195, -204?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 21*s + 823. Let v be l(-39). Solve -2*c + v*c - 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00114669248 rounded to 6 dps?\nAnswer: -0.001147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*g - 5*h, 5 = 3*h - 2*h. Let u(b) = 2*b**2 + 3*b - 2. Let w be u(-3). Let n = -2 + w. Solve -n*t + 6 = -2*k - t, -2*k - t - 11 = g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 * -0.1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*1\/(-21)*2198\/1884?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5 - (-1 + -3 + 16 + 14)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3429*d + 229. Is g(62) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(18\/1)*(-1)\/34?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14960 divided by -44.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2615\/523 + 22\/(-5). What is the nearest to 0.1 in -4\/3, 5, 0.03, v?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 236148874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q*w**2 - 39*q*w + 5*q - 20909*w**2 - w - 2 wrt w.\nAnswer: 6*q - 41818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -36*t - 102. Let f be i(-3). Solve -f*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 103 + 7 = 0. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59 - 34*a - 59)*(-4*a**2 + 2*a**2 - 4*a**2) to the form t*a**2 + x + r*a + f*a**3 and give f.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s. Let v(z) be the first derivative of -z**5\/60 + 8*z**3\/3 - 28. Let d(c) be the third derivative of v(c). Calculate l(d(h)).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1094+-12733812\nAnswer: -12733812.1094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9215 - 2303 - 2301 - 2307 - 2304 - 619*v.\nAnswer: -619*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 8*v - 7. Let y be g(-9). Let l = -7 + 5. Let c be ((-9)\/(-12))\/(l\/(-8)). Solve c*j = -2*m - 3*m + 10, -y*m - j + 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*s = 88, -5*u - 3*s = -87 - 12. Let m = 20 + u. List the prime factors of m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.27 + 0.13. Let w = -0.7 + u. Which is the nearest to -2\/3? (a) 0.3 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -59. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 220 = -18*q + 74, 2*d = -4*q - 34 - 4 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5903726?\nAnswer: 2, 17, 89, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84*16.\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven sevenths of a week?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*a - s, 1328*s = -a + 1333*s - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2628721\/2891581 - 1\/262871. Let p = -168 + 6243\/37. Calculate the common denominator of t and p.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 6*k**2 + 6*k - 6. Let z be a(5). Let p = -0.02 - -3.02. What is the smallest value in p, 3\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066178 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 1136352031?\nAnswer: 1136352036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 3. Let l(t) = t**3 + 4*t**2 - 6*t - 5. Let d be l(-5). Is y(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 6*j**2 + 3*j - 2. Let b(d) = d**3 - 4*d**2 - 11*d - 2. Let k be b(6). What is the remainder when m(k) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {l: 7, d: 1, z: 3, s: 1, t: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-44)\/(1848\/(-98))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*396\/5940\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.28156489 * 4.\nAnswer: -1.12625956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*i + 0 + (-3 + 0 + 1)*(-3*i + 2*i + 0*i) + 3 - 632*i + 1269*i - 633*i.\nAnswer: 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8272 + 8301.8. Put 0.5, n, 0.01 in descending order.\nAnswer: n, 0.5, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/160 and 81\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.798044 rounded to two decimal places?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 7*m**4\/4 - m + 5. What is the first derivative of p(n) wrt n?\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36445 is divided by 12139?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24871.82l in millilitres?\nAnswer: 24871820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -6*f**2 + 0*f**5 + 1\/40*f**6 - 13\/8*f**4 + 0 - 6*f**3 + 0*f. Suppose g(r) = 0. What is r?\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Let l = 0 + w. Suppose -b + 4*h = -0*b - 21, 0 = -4*b + 3*h + 84. Solve 3*p - l*g + b = 0, 2*p - 3*p - 15 = -5*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 12*c + 59. Solve c*v = -6*v + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 + 12 - 16) + 1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**4\/12 - 8*b**3\/3 - 35*b**2\/2 - 470*b + 2. Suppose 0 = y + 1 + 13. Calculate l(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191\/7831*(-47)\/3 + (-10)\/(-30).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 12. Let h = 15 + -12. Find the second derivative of -2*o**5 + 9*o**5 - h*o - 6*o**t wrt o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - 68. Suppose 2*h + 0*h = 12. Solve 0 = y + z*u - 12, 3*y - h*y - u + 14 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 12. Let s(r) = -2*r + 7. Let z = -5 - -13. Let n be s(z). Let l be o(n). Solve -w + l*g + 2*g = -5, -2*g = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 14\/3, -1\/3, -1\/18 in descending order.\nAnswer: 14\/3, 5\/4, -1\/18, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-9)\/n)\/n**5)\/((n*n**1)\/n**(-7))*n**(2\/9)\/n**(-2\/3)*(n**(2\/5)*n)\/((n*n\/n**4)\/n) assuming n is positive.\nAnswer: n**(-842\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1012)\/110)\/23 + (-1 - (-14)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4205 (base 7) to base 10\nAnswer: -1475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1421387\/122607 - -2\/4541. Let v = 3047\/189 - s. Let g = v - 28. Which is bigger: g or -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57a (base 15) to base 14\nAnswer: -648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.555834 years to millennia.\nAnswer: 0.000555834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2227 + 2236 - 4463 - 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Let g(l) = -l - 4*l**3 + 0*l**2 - d*l**2 + 3*l**3 + 1 + 0*l**2. Let n be g(-3). Solve 24 = 3*i + n*f, -4*i + 20 + 5 = 3*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*q + 33*q - 4*a + 4, 5*q = 3*a - 29. Let l = -469 - -465.97. Let f = l - -0.03. What is the third smallest value in f, -7, 4, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 206 + 177 = 5*w, 3*v = 5*w + 28 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3248491948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 335\/7 - 1801\/35. Which is greater: -4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505926 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 33 = -3. Let u(g) = g**3 + 7*g**2 - 3*g - 2. Let l(w) = w**3 + 8*w**2 - 2*w - 3. Let b(y) = 2*l(y) - 3*u(y). Is b(c) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (780\/2145 + (-8)\/22)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 13. Let m be g(12). Suppose 0 = -2*b - 2, x - 5*b - m = 21. Suppose 77 = 4*c - x. Calculate the remainder when c is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5 - 222*a**4 + 5700*a**3 - 61128*a**2 + 290304*a - 508032.\nAnswer: 3*(a - 28)**2*(a - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r**5 + 75*r**4 + 125*r**3 - 25*r**2 - 135*r - 50 = 0. Calculate r.\nAnswer: -5, -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n = -24*n. Suppose n = 4*d + k - 14, 1 = 5*k - 9. What is the least common multiple of d and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15430107 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: Let v = 27\/190 - -12487\/1710. Suppose 0 = -g + 6 - 0. Calculate the common denominator of v and (62\/5)\/(8 - g).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 + 52 + -2 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -1\/12*l**4 + 0 - 121*l + 0*l**2 + 0*l**3. Let c(j) = 136*j. Determine c(d(n)).\nAnswer: -136*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -154430000 rounded to the nearest one million?\nAnswer: -154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-5 - 1) + 8 + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27528000 rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11.97 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, 742, -3, 4, 2, -1 in ascending order.\nAnswer: -3, -1, 2, 4, 92, 742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7918.247km?\nAnswer: 791824700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 9:00 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 654*v**2. Let s(t) = 2*t**2. Determine j(s(r)).\nAnswer: 2616*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + 41496\/(-858) - (-16 - -1).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1009 = 145*t - 284 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 0 + 93*y - 8 + 5 + 10 + 5*y**2 in the form d*y**2 + s + z*y and give z.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 9) + 11 + -6 + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1292 + 508. Let m = i - -16462\/21. Which is the closest to 2\/3? (a) 6\/7 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 67b + -2e9?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -1 - (2\/11 - (-76)\/(-141702)*15288).\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -211 - 1322 + 877*q**4 + 234*q**4 - 42 + 221*q**4 wrt q.\nAnswer: 5328*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -774478863\/22 - -35190505. Let k = 13082 + l. Let u = -127\/720 - 1\/90. Calculate the common denominator of k and u.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -895617*213.\nAnswer: -190766421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*o - 35, -5*o - 44 = -s + 36. Let f be 6*(-5)\/o*(-2 - 1). What are the prime factors of (-2)\/f + (-112)\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 5:52 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 1065 - 2807. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.881 rounded to one dp?\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d**5 - 76*d**4 + 89*d**3 - 44*d**2 + 2. Let u(a) = -9*a**5 + 79*a**4 - 86*a**3 + 46*a**2 - 3. Let k(b) = 3*t(b) + 2*u(b). Factor k(s).\nAnswer: 5*s**2*(s - 1)**2*(3*s - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 217 (b) 1.1 (c) 1\/7 (d) 2\/11 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -304 + 7149*m - 329 + 633 in the form r*m + p and give r.\nAnswer: 7149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 3*w**2 - 78*w + 243. Calculate f(3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 3*g + 72. Suppose -5*h - g + 62 = j, -3*j = h - 20. Factor -6*f**2 - 2*f - h*f**3 - 4 + 4 - 3*f**4 - f**2.\nAnswer: -f*(f + 1)**2*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*h - 23 = -92, 4*h = 12. Suppose -2*b = -5*n - 29, -b = 4*n - 1 + g. What is the lowest common multiple of 140 and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.4 + 22.4. Let w = -2 + 1. Which is the nearest to w? (a) 1\/3 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/780*(-10)\/(-3)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - 5)\/((-368)\/(-52) - 7). Solve 5*l + 21 = 2*j, m*l - 23*l = -2*j - 19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8040532 tonnes to nanograms.\nAnswer: 804053200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -10*l**4 + 1572*l**3 - 82264*l**2 + 1438140*l - 284350 = 0.\nAnswer: 1\/5, 47, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7\/(z*z*z**(1\/11)))**35\/((z*((z*z\/(z\/(z\/z**1)))\/z*z)\/z)**(-21)*(z**(-1))**43) assuming z is positive.\nAnswer: z**(2594\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:06 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, -5, 1\/6, -3\/136, -0.3, 1\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00358 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2616482 is divided by 1177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 4*n + 3. Let q be l(3). Suppose u - 14 = -4*w - 2*u, q = -w + 3*u - 4. What is the lowest common multiple of (44\/33)\/((-8)\/(-12)) and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1587909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 27*h. Let s(y) = -y - 2. Let k(q) = 2*q + 3. Let f(g) = 2*k(g) + 3*s(g). Give t(f(w)).\nAnswer: 27*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1547)\/28 - 2\/(-8). Let t be 114\/22 + (-3 - 155\/z). Let o be 10\/t*4\/8. Sort 7, -5, 2, o in descending order.\nAnswer: 7, 2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107579203?\nAnswer: 41, 2623883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 223 + -90. Suppose -12*a + b + 1163 = 0. Let h be a\/24 + (-1)\/2. Solve p - 2 = h*l - 11, 4*l + p - 7 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u - 17 = -2*b, 5*u = -3*b + 18. Suppose -161 = -5*a - 16. Suppose 7 + a = u*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -7, 3\/2, -1\/83, -1\/5, 14?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -2. Let s = 13 - c. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmxx. What is prob of picking 2 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -23*b**2 - 599*b + 600. Give j(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h - 243 - 9*h + 186)*(-2*h**2 - h**2 + h**2) - 2*h**3 + h**3 + 3*h**3 as b*h**3 + m*h**2 + z + a*h and give m.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let r(b) be the first derivative of 1\/3*b**3 + 3 + 1\/2*b**n + 0*b - 1\/4*b**4 - 1\/5*b**5. Factor r(l).\nAnswer: -l*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-27)*-1*-1*(-87)\/(-812).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 107988648*w**2. Let k(i) = 8*i. Determine k(n(o)).\nAnswer: 863909184*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/8 + 35*q\/8.\nAnswer: -q*(q - 35)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82.066 - -4.982. Let t = z - 0.048. Let m = -85.81 + t. Round m to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 8106841*a**3 + 3*a**4 + 7*a**2 + 2*a + 8106841*a**3 to n*a**4 + c*a**3 + y*a + k*a**2 + g and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2283600 and 825.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (2 + 4 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 2226 + 2184. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b. Suppose 15*f - 325 = 1775. Suppose -4*t + 4*l + f = 0, 55 = 2*t - t + 4*l. Calculate the remainder when t is divided by a(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + (-12 - -9) + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 705248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = k - 50. Solve 2*c - 4*z + 6 + 6 = 0, -k*c = -z + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 191 - 187. What is the tens digit of l\/(-8)*(-3 - -5)*-346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2 - 80*k = 0 for k.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 7 = b. Suppose -4*h - 6 + 3 = -3*x, -b = -2*h + x. Suppose 0 = -h*k - 3*i + 12, -3*k + 2*i - 5 = -4*k. Solve 0*o = -o - k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002977 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -3*s - 30. Suppose -s = -2*o + 15. What is the highest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9698, 2 in decreasing order.\nAnswer: 9698, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2 + 21708*g + 117809316 = 0. Calculate g.\nAnswer: -10854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-320)\/(-60))\/((-2)\/(-6)). Let c = l - 12. Suppose u + 0*u = -g + 483, 0 = 3*g - c*u - 1421. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 + 30\/4)*2. Is (r\/2)\/(3 - (-1748417)\/(-582802)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, -259254, 3 in descending order.\nAnswer: 10, 4, 3, -259254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 103, 122, 161, 226, 323?\n\"Answer: g**3 + 4*g**2 + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**3 + 9*f - 9. Let u(w) = 3*w**3 + 5*w - 5. Suppose 3*g = -7 - 8. What is g*a(l) + 9*u(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from njninioiinni.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Solve -5*o + 35 = -4*i, 0*o - v*o = i - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 0*y**2 - 59*y - 1\/6*y**3 + 1\/12*y**4 + 0. Give l(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 14 = -5*n, 2 = 499*n - 502*n - 4*d. Put n, -50, 0, 25 in descending order.\nAnswer: 25, 0, n, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 5. Let f be v(-7). Let z(q) = q**3 + 7*q**2 - 9*q - 2. Let g be z(-8). What is the greatest common divisor of g and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 1128*p - 2 - 17)*(-3 - 2 + 3)*(2 + 12 + 2).\nAnswer: -36096*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 - (-1 - (-3)\/(-3)). Let d be (n\/(-8))\/((-27)\/(-12)). Let k be ((6\/12)\/1)\/(-1). Which is the closest to k? (a) -4 (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 128*o - 137*o - 315. Is 4389\/1 - 14\/o*5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 2*s - 133 + 70 + 0*s + s + 0*s + 2*s + s - 5*s + (5 - 5 - 2)*(4*s - s - s) + 0 + 0 - s.\nAnswer: -4*s - 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -16\/37 (b) 6\/31 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1906 + 2610 - 1306)*((-3 - 3 - 4)*(-2*f - f + 5*f) + 2 - 5*f + 4*f - f).\nAnswer: 13244*f - 1204","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 10 = 2*n, 4*g + g = 5*n - 10. Suppose 0 = g*z - 5*o - 198, -2*o + 530 = 5*z + 3*o. Calculate the remainder when z is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67185 is divided by 6718?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(38)\/((sqrt(2) + sqrt(18))*-6))*4*-1)**2.\nAnswer: -4*sqrt(19) + 5203\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 5}. Give prob of sequence sp.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18055 and -56.61057623?\nAnswer: 17998.38942377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.057178, -1 in ascending order.\nAnswer: -1, 0.057178, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505935 is divided by 8422.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25569784 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67704 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((-65)\/10 - -3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 6 = 12. Let v(b) = -2*b - 1. Let i be v(-2). Sort d, i, -2 in descending order.\nAnswer: i, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 81244, 81252, 81270, 81304, 81360, 81444, 81562?\n\"Answer: g**3 - g**2 + 4*g + 81240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*b = -8, -2*u = -4*b - 55 + 19. What is the least common multiple of 4430 and u?\nAnswer: 4430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.44 (c) -1\/4 (d) 2\/11 (e) 1\/2 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 29*x**2 - 18*x - 32. List the prime factors of m(9).\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101559317*s**3 + 3177*s - 4226 wrt s.\nAnswer: 609355902*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88.45 - -1.45. Let y = -947 - -860.5. Let d = v - y. What is the nearest to -0.08 in 5, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.622 + 0.378. What is the nearest to t in 4, -0.1, 29?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49273 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/672 and 169\/798?\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 12 = 5*s - 5*m, 6 = 3*m. What is the units digit of 3\/(s - -1) + 480?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-9) - 0)*-3. Let z(f) = f**3 - 5*f**2 + 4*f. Determine z(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2244323 + 1350?\nAnswer: -2242753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -42*m + 1. Let s(f) be the first derivative of 4*f**2 - 2155. What is s(y(a))?\nAnswer: -336*a + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*o - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x - 23. Suppose -4*f + 5*y = -5*f + 27, 20 = 4*y. Let a be g(f). Put 4, -1, -2, a in ascending order.\nAnswer: -2, -1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4398*z - 21994. Give q(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -172128 divided by -6?\nAnswer: 28688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 1 = 4*a. Suppose 0 = a*y - w - 72, 2*y = 3*w - w + 30. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*a - 248, -2*z - 3*a = -316 - 115. Is z 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 310398, 308399, 305080, 300447, 294506?\nAnswer: 287263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 11 = s, 3 = -s + 2*t + 8. Suppose 4 = 3*k - m, 5*m = 4*k + m - 8. Sort k, s, -5.\nAnswer: -5, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*u = -h - 2, 4*h - 4 = 4*u. Suppose -z - h = -6. Which is the third biggest value? (a) z (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1656\/161)\/24*(-3)\/(-96)*14?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 6:34 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**6\/420 - 17*d**5\/42 - 22*d**4 - 84*d**3 - 22*d**2. Let p(b) = 0. What is b?\nAnswer: -42, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 700.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -70. Let n = 283\/7 + -40. Which is the closest to 1? (a) 1\/5 (b) y (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 3:18 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, x: 1, w: 1, i: 5, u: 3}. What is prob of sequence umi?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*f**2*n**3 + 4*b**3*f*n - 3*b**3*n**2 - 5*b*f**2*n - 34*f**2*n**3 wrt n.\nAnswer: 12*b**3*f**2 - 204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17553 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -29.35. Let x = s - -0.35. Let f = -0.079 - -4.079. What is the second smallest value in x, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6*1 + -1)*36\/(-63). Suppose -1129 = -u*i - 5*j, 4*j + 1147 = 4*i + 3*j. Is 11 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 207447 is divided by 362?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 27. Suppose -4*t + m*t - 5*g = 25, 4 = 2*g. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -145 and -4010.65472619.\nAnswer: -4155.65472619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2, 0.2, -1072, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 111100000001010001?\nAnswer: 111100000001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g + 2113 = 15*g + 2265 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84891 = -3*x + 2*u - 3309, 0 = 2*x + u + 58800. Round x to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11717336 + -16817336. What is z rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34208, -68391, -102560, -136709, -170832, -204923, -238976, -272985?\n\"Answer: w**3 + w**2 - 34193*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3179907?\nAnswer: 3, 137, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 109576573 to the power of 1\/2, to the nearest integer?\nAnswer: 10468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 22 - 4*c - c + 4*c. Suppose -j + 1 = 1. Calculate the remainder when 64 is divided by l(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 - -26. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21555754.\nAnswer: 2, 11, 979807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (45 - 63 - -29) + (0 - 22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -97 - -28a?\nAnswer: 1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5177)\/93 + 55)*3\/(-37).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 672 = -0*y. Is 8 a factor of ((-37)\/(-4))\/((-21)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 2*g + 13, -3*q - 207*g - 12 = -204*g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10845*d**2 + 10845*d**2 - 21699*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:20 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/2979486 and -65\/1442.\nAnswer: 2148209406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 197 - 139. Let s = j + -22. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12 - 11)*(-16)\/2. Let h(j) = j + 12. Let i be h(v). What is the third biggest value in 3, i, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*v - 3*s + 191 = 0, 4*v = 112*s - 111*s + 47 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1675 - -1677. Solve 0 = z*h + 12 - 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3 - k + 51*k**2 + 108*k**2 + 2*k. Is v(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 15 = 5*v, 2*u - 5*u = 4*v - 19. Let h = 3.6 + 3.4. Let k = -11 + h. Put k, u, -1 in descending order.\nAnswer: u, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 5:04 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/2*(-12)\/5. Calculate the remainder when (-9)\/h*244\/(-3) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 4*n**2 - n - 2. Let s be y(-3). Let u = -3 - -16\/5. Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000364695 to 5 dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2698*t + 429*t - 1297*t as o*t + z and give o.\nAnswer: -3566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**26)**(-8\/3) assuming s is positive.\nAnswer: s**(-208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013102 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + b + 2 = 0, 0 = 4*f - 8*f - 5*b - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8928427979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2880688 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1500 and 1221750?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**16)\/((f\/f**(-1\/11)*f)\/f) assuming f is positive.\nAnswer: f**(175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, p: 5, q: 8, h: 1, t: 2, y: 2}. What is prob of picking 1 r and 2 t?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -7, -4 in descending order.\nAnswer: 5, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10027*m**5 - 750*m**4 - 3*m**3 + 151131583*m**2.\nAnswer: 601620*m**2 - 18000*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - t + 5*z = -11, -4*z - 22 = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from mkgym?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/64 + (-15)\/(-4). Let b(l) = 0 + 3*l - l**3 + 4*l + 3 - p*l**2. Let n = -62 + 57. Determine b(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.76 + 15. Let y = k - 0.214. Round y to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*4\/8 + 77\/33.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in 6001, -0.2, -25.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/9, 5\/4, -2\/719.\nAnswer: -2\/719, 5\/4, 14\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yylblllybultll. Give prob of sequence ubb.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 4*d**2 - 3*d - 1. Let h = -2 + 1. Let i = -2 - -5. Let g be h + (-2 + i)*-1. Give a(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2. Let o(h) = h + 1. Let b(a) = 2*o(a) + 2*q(a). Suppose -6*t + 10 = -8. What is the units digit of b(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3210? (a) 0 (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -6 - (-6 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106)\/(-27) - 18\/(-243).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:53 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6020*g - 3379. What is the ten thousands digit of d(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -563014 divided by 89.\nAnswer: -6326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 - 18*x**3 - 8*x**2 + 30*x.\nAnswer: -2*x*(x - 1)*(x + 3)*(2*x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -11*g**2 + 7*g + 1. Let r(a) = -a**2 + a. What is 2*i(w) - 18*r(w)?\nAnswer: -4*w**2 - 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*k - 10*k = -12*k - 3968 for k.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3675, 510, -14, -2.\nAnswer: -3675, -14, -2, 510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127658275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 51, 38, 29, 30, 47?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -312*u**2 - 317*u**2 - 246 + 942*u**2 - 314*u**2 in the form q*u + k + s*u**2 and give k.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = -7*c + 90. Let p(y) = -7*y + 23. Let b be p(3). Solve 5*l + 3*x + 4 = 0, 0 = -2*l + b*x - c - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 o when four letters picked without replacement from {x: 8, o: 6, n: 3}?\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1420852*k - 7104270. What is o(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28454 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: Suppose -3*p + 8 = -3*m - 2*p, 0 = -2*m + p - 5. Put m, 1, -0.3 in ascending order.\nAnswer: m, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 3436, 12334, 29648, 58180, 100732, 160106?\nAnswer: 239104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53035 + 287613 = 67*w + 10*w. What are the prime factors of w?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*714\/(-3). What is the remainder when 45 is divided by 12\/(-15) + c\/5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 71 = -79. Let l = p + -4. What is the lowest common multiple of l and -1 + (0 - (-1 + -2))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b - 22. Let d(n) = -9*n - 22. Let y(k) = k**3 - 13*k**2 - 29*k - 20. Let t be y(15). Let x(w) = t*d(w) + 6*u(w). List the prime factors of x(-14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -347 (b) -5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70518366.\nAnswer: 2, 3, 31, 43, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1.307, 8\/345, -4\/7?\nAnswer: 1.307","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -620, -4501, -14980, -35357, -68932, -119005, -188876?\n\"Answer: -550*d**3 + d**2 - 34*d - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39468?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j. Let h(u) = -4966*u**2 + 191. Calculate i(h(g)).\nAnswer: -9932*g**2 + 382","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 2359350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 141*j**2 + 360*j + 2. List the prime factors of d(-11).\nAnswer: 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3545 (base 6) in base 10?\nAnswer: -857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**4\/12 - i**3\/2 - 7*i. Factor z(r).\nAnswer: -r*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 3*f**2 + 4*f. Let u(y) = y - 9. Let m be u(5). Let o be a(m). Suppose i + 282 = 5*n, -5*n - 4*i + 93 + 204 = o. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -63b2 + -4?\nAnswer: -63b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.5402616 to two dps.\nAnswer: -12.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21010 - -21010. Determine k, given that k**2 + m*k + 1\/2*k**5 - k**4 - 1\/2*k**3 + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1341938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p - 26*p - 1324300 = -42*p. List the prime factors of p.\nAnswer: 2, 17, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 273781705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.312 (b) 0.3 (c) 788 (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l*v**6 - 34*l*v**3 + 2*l*v + 21*v**2 wrt v?\nAnswer: -240*l*v**3 - 204*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**5\/60 - 19*a**4\/8 + 877*a**3\/6 - 546*a**2. What is the first derivative of x(g) wrt g?\nAnswer: 2*g - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*u - 161 = -324 - 812 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/350 and -23\/210.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2028 + -2018. Solve z + 44*a + 20 = 48*a, -2*a + b = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -62*(-2)\/(-4)*-1. Let i = 34 - w. Solve 4*r - 3*f - 3 = 0, 2*f = i*f - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teeejejteejjj. What is prob of picking 2 j, 1 e, and 1 t?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 178057998589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvkk when four letters picked without replacement from {u: 2, v: 1, s: 7, i: 1, k: 3}?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 3\/8 (b) 0.3 (c) -1 (d) -3 (e) 4.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-1 + -9 - (-8 - -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2301 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*p + 6405034 + 2710234. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 348 = -i. Calculate the common denominator of 0\/(-1) + (-339)\/(-30) and i\/40 - (-6)\/15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2528 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -54053 (base 12) to base 3\nAnswer: -12121210100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*(2*(sqrt(325)*1*3 - (1 + sqrt(325))*-2))**2)*6.\nAnswer: -585258 - 7200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 9*x + 1. Let i(d) = -4*d. Let t = 8 + -3. Suppose 0 = -243*j + 242*j + 2. Calculate j*g(u) + t*i(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.819 and 21.3.\nAnswer: 102.6447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 1902215 (c) -10 (d) -0.4 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1291844 and 8636?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 47*x + 282. Let b be a(-6). Factor 2\/7*f**2 + b + 4\/7*f.\nAnswer: 2*f*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4780 and -93?\nAnswer: 4687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 32 + 15)*(-3 + 0 + 2)*(-4*m + 4*m + m).\nAnswer: -33*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.41 and 0.4.\nAnswer: 0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -123409*b**3 - 18*b**2 + 2*b - 47898501 with respect to b.\nAnswer: -370227*b**2 - 36*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 274342 by -137171.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-3 - -2)\/43). Let k = y - 31. Let n(z) = -z**3 + 14*z**2 - 13*z + 11. Let g be n(k). Calculate the highest common factor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*p - 306. What are the prime factors of p\/(-6) - (-1)\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjjzjjcpzjpjpzp. Give prob of picking 1 z, 1 j, 1 c, and 1 p.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let d(k) = -3*k**2 - k + 1. Let l(q) = -215*q**2 - 10*q + 10. What is 10*d(u) - l(u)?\nAnswer: 185*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 3) in base 10?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 50*l**2 - 11*l + 788. Calculate f(50).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u - 61325965873 + 61325965873.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/9*5\/80*-6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 592 divide 14011489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10.6, 5, -5, -0.1?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Let m = -0.09 + -6.91. Let a = -0.82 + 0.42. Sort a, m, w.\nAnswer: m, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2700\/18000)\/((-2)\/(-360))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, -2, 6, -5 in descending order.\nAnswer: 12, 6, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -18. Let o = -4763 - -4738. Which is smaller: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 4*u = -3*h - 18, 24 = -4*h - 4*u. Let q be (-6)\/72*h*0. Let a(t) = -t**2 - t - 408000. Let k be a(q). Round k to the nearest ten thousand.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + i + 1. Let g(s) = 6*s**2 + 7*s + 7. Let b(w) = -5*g(w) + 35*x(w). Let a(u) be the third derivative of u**4\/8 + 1769*u**2. What is a(b(d))?\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*((-1*sqrt(208))**2 + sqrt(208) - sqrt(208) - sqrt(208) - sqrt(208)).\nAnswer: -200*sqrt(13) + 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 23*n**2 - 85 - 2*n**2 - n + 115. Let r(k) = -2*k. Calculate j(r(l)).\nAnswer: -84*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*p + 55*p**4 + 26*p + (1 + 8*p - 4 - p**2 + 2)*(-5*p**2 + 2*p**2 + 4*p**2).\nAnswer: 54*p**4 + 8*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 184\/(-161)*(52 + -73)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4296779, 8593552, 12890331, 17187122, 21483931, 25780764, 30077627, 34374526?\nAnswer: 38671467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33669*g**5 + 4*g**3 + 110058*g**2.\nAnswer: 2020140*g**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 4. What is the remainder when (-6 - 0)*1 - 2*(-357)\/14 is divided by 2\/z + (-284)\/(-18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 227759 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7677.565ml?\nAnswer: 7.677565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**15*b)\/((b**10*b)\/b))\/(b**6)**(-41))**(-17) assuming b is positive.\nAnswer: b**(-4301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 135, 266, 397?\n\"Answer: 131*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 549 and 99?\nAnswer: 6039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/50 - (-3)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8421714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2284 = 2*t - 144. Suppose 382 = -26*f + t. What is the greatest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 4*k - 157252 + 157344, -3*k = 21*b - 144 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13629, 27605, 41591, 55593, 69617, 83669, 97755?\n\"Answer: r**3 - r**2 + 13972*r - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 194227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:37 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 25 = 19. What is the remainder when 393 is divided by a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4854624571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 6:56 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p = 29*p + 1190. Let j = p + -1901\/8. Which is greater: j or -10?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 3573.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrg when three letters picked without replacement from grgrgggrgggrr.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/9 - 1\/6)*6. Let s(a) = a**3 - 2*a**2. Give s(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-1 + 4))\/((-1)\/1). Suppose d*n = 15, 4*n = -5*k + 43 - 11. Solve 0 = k*o - 2*j - 12, 2*o - 1 = -3*o - j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -12178241?\nAnswer: -48712964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-27) - 394\/(-9). Let g be 8 - 9 - 46\/(-2). What is the greatest common factor of y and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6041 + 6041.3. Let t = 2.6 - -0.4. Sort -4\/9, r, 0.1, t in increasing order.\nAnswer: -4\/9, 0.1, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*x - 54, -a + 3*x + 45 = -4*a. Let m be -15 - a - (1 - -4). Is m greater than or equal to -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(-10\/7)*z*z*z*z)\/z**(-28))\/(z\/(z\/z**(-1\/10))*z*(z\/z**(4\/7)*z)\/z))**(1\/5) assuming z is positive.\nAnswer: z**(2187\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*y - w, 3*y - 2*w = -0*w - 23. Let b be -3 - -3 - 4\/(-14). Let h = -13396 + 13396.19. Put h, y, 0.4, b in decreasing order.\nAnswer: 0.4, b, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2869795 to the power of 1\/2, to the nearest integer?\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/14)\/(90\/(-408)). Let s = -11\/7 - o. Let i(y) = -y**2 + 5*y - 6. Let t be i(4). What is the biggest value in -1, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*x - 3256 = 25*x. Suppose 0 = -7*j + x - 141. Let b be ((-2)\/(-40))\/((-39)\/(-12)). Which is smaller: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -63*f**2\/2 + 15*f - 52. Let l be n(12). Round l to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*b - 32, -4*v = 5*b - v - 34. Solve 0*p + b = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -190082*l**2 - 170464*l wrt l?\nAnswer: -380164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (208\/(-12) - -4)*(-6)\/(-4). Which is greater: d or -21?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*n + 651 = 21 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012011212 (base 3) to base 12.\nAnswer: 116ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/33 and -34\/1395?\nAnswer: 15345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*(sqrt(91) - 2*sqrt(91)))\/(1*sqrt(343)*4).\nAnswer: -9*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005*l - 21673 = 690*l + 2404 + 14908 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2))**23\/((q\/(q\/(q\/((q*q**(-2\/9))\/q))))\/q**(-5\/4)))\/((q*q**(2\/3))**(-6)*q**(-3)*q**(2\/13)*q) assuming q is positive.\nAnswer: q**(9769\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010983968554 rounded to 5 decimal places?\nAnswer: -0.01098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - 0)*5\/(-14 - -4). What is v rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 23\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*n - 35*n + n**2 + 24*n = 0. Calculate n.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1626, 6682, 15248, 27330, 42934, 62066, 84732, 110938?\n\"Answer: i**3 + 1749*i**2 - 198*i + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1503 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -773, -7030, -24119, -57464, -112489?\nAnswer: -194618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1317*y + 1307*y + 30 = 0. What is the fourth smallest value in -5, y, 101, 2\/11?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 19*u**2 + 13*u - 5. Let i be l(5). Let s = 534 - i. Which is bigger: s or -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -y + 4, 5*y - 16 = -2*q + 1. Suppose y*k - 41 - 13 = 0. Let o = k - 3. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5711 divided by -2\nAnswer: 5711\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1\/7, 2\/3, 1378, 0.4 in decreasing order.\nAnswer: 1378, 11, 2\/3, 0.4, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 11*k + 30. What is the highest common factor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -140. What is the remainder when c is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, 0.3, -5, -0.4, -145?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.4 - 22.2. Which is the smallest value? (a) z (b) -0.12 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -1 - -7) + -2 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5504?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 44460?\nAnswer: -44454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -17.4. Let b = -11 - -11.6. Let g = b - i. What is the second biggest value in -3\/4, g, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(126)*1)\/sqrt(7) - -5*(sqrt(648) + -1))**2.\nAnswer: -960*sqrt(2) + 18457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g + 4. Suppose 62*k - 65 = -3. Let p(t) = -1. What is k*x(n) + 2*p(n)?\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 118*b - 6.\nAnswer: -118*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1063, 2798, 5689, 9736, 14939, 21298, 28813?\nAnswer: 37484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 7 + (1 - 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 1\/5, 4\/3, -4, 596, -24?\nAnswer: 596","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*w**4\/4 - 505*w**3 - 10401*w**2 - 8080*w - 1600.\nAnswer: -(w + 40)**2*(5*w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s = 570. Is s a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897979.\nAnswer: 53, 16943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -6*s. Solve s = 2*c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/18 and -1\/406598784?\nAnswer: 1219796352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -213882626?\nAnswer: -213882625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i - 19227 = -1587. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.196 times -345177\nAnswer: 67654.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212200100 - 2?\nAnswer: 212200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1108392983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 2, 195*u - 191*u - 1 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -11, -19, -29, -41, -55?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 128*s - 39*s + 11*s.\nAnswer: s**2 - 156*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31943 + -30990. What is the third smallest value in -0.3, y, 2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -16*f + 27. Let r be (-156)\/(-8)*((-20)\/f)\/5. Let t = -15 - r. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, -0.1, -13, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8752543.\nAnswer: 8752543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -3*d - 4*o + 1335, 2224 = 5*d - 3*o. List the prime factors of d.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**2 - 2*b + 1. What is s(-2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 + 0*i**5 - i**5 + (3 - 24 + 3)*(2*i**5 - 5*i**5 + i**5) + (-1 + i**4 + 1)*(-3*i + 5*i - i).\nAnswer: 35*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5. Let k be (-1 - 1)\/(n - 1). What is the third derivative of -2*h**6 + h**2 - h**k + 3*h**2 wrt h?\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 2*j**2 + 15*j - 1. Suppose 75 = -3*q + 3*w, 0*w - 2*w - 104 = 5*q. Let s(a) = -a - 4. What is q*s(k) - 6*t(k)?\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -425 - -429. Suppose -13*o + t*w + 2102 = -10*o, 2*o + 4*w = 1408. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1332 * -0.42\nAnswer: 559.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31494 - -7?\nAnswer: 3149b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 5*h - 4. Let f be d(-5). Let a = -384 - -3466\/9. What is the third biggest value in 2\/3, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -93*z**2 - 73. Let s(n) = -n**2. Calculate s(c(x)).\nAnswer: -34596*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*i + 2 = 0, -3 = -2*f + 3*i + 10. Suppose f = -g, 0 = 2*w + g - 14 - 6. Suppose 2*m = m + w. Calculate the remainder when m is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91*c**2*r - 363155*c**2 + 3*c*r + 8*c + 2*r - 61188 wrt c.\nAnswer: 182*r - 726310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1747 divide 288678361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*o - 14. Let q be (-1 - o) + 34\/7. Which is smaller: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390 and 5016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (17 - -1)\/(-3). Suppose 4*k - 128 = 5*u, -3*k - k + 2*u + 128 = 0. What is the highest common factor of k and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398285.\nAnswer: 5, 79657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (66 + 993 + 848)*(-s + s + s) in the form x + u*s and give u.\nAnswer: 1907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.000295749 + -27.119058751. Let o = -0.1193469 - q. Let c = o - 27. What is c rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 7*o**2 - 9*o - 7. Give f(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -2, 5.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 12*w**2 + 5*w - 18. Let o(a) = -a**2 + 15*a - 5. What is the remainder when m(12) is divided by o(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s = -10*s - 30 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-660)\/(-8)*1630\/(-2445).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-66048)\/(-896))\/129)\/(((-4)\/8)\/((-14)\/44))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19387181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -63440850 divided by 6344085?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from wzllllckdlllllk?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/3 (b) 255 (c) 0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 133.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -760, -9, 24, -1 in descending order.\nAnswer: 24, -1, -9, -760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 553807 to the power of 1\/2, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 29, 2, 1 in descending order.\nAnswer: 29, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 + 565*t**3 - 20475*t**2 + 205335*t + 1186380.\nAnswer: -5*(t - 39)**3*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 21*n**3 + 3*n**2 + n - 4. What are the prime factors of d(2)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*9\/21*(57 - 7480\/132)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 40. Let s(q) = 8*q**2 - 2*q. Let o(p) = 3*p**2 - p. Let i(f) = a*o(f) - 5*s(f). What is the second derivative of i(r) wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -18*o**2 - o - 8. Let p(h) = h**3 + 51*h**2 + 4*h + 24. Let a(d) = -4*p(d) - 11*s(d). Let l(f) = -f**2 - f - 1. Determine -a(b) + 5*l(b).\nAnswer: 4*b**3 + b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-17))\/(i\/(i\/(i\/i**(8\/9))*i*i)*i) assuming i is positive.\nAnswer: i**(-136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.2 (b) 0.15 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6840707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-24)\/r*(r**(-6)*r)\/r)\/(r**(-17))**(-9) assuming r is positive.\nAnswer: r**(-184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((-25)\/(-75))*-5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 3 (b) -1.8 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -187841\/15 - -12518. Find the common denominator of m and -149\/1032.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34446283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:36 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9069555 and 101640.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 0, 5*m - x - 660 = -155. Calculate the remainder when m is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**5\/660 - g**4\/132 + 16*g**2 + 12*g. Let a(p) be the first derivative of k(p). Factor a(t).\nAnswer: t*(t - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-72)\/(-4))*1*-12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2779, -2786, -2799, -2818?\nAnswer: -2843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 + 9 + 0*q**2 - q**2 - 117*q + 95*q as p*q**2 + v + h*q**4 + w*q + m*q**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38132315 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 25 = -5*b + 5*t, 4*b = t + 11. Suppose 0 = -r + 4*r. Put 5, b, r in decreasing order.\nAnswer: 5, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -14*s**2. Let h(a) be the second derivative of a**3\/2 + 3*a - 3. Give i(h(f)).\nAnswer: -126*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19796009?\nAnswer: 29, 409, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 145118?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 1:56 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (11 + 205\/(-20))\/(45\/20)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -1\/5, 2\/7, -2, -32, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkbqqqqbbkbbbobb. Give prob of sequence qbk.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3 + 730*d**2 - 480*d**2 - 5*d - 10. What is the units digit of o(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*v**4 - 965051*v**3 + 1462101*v**2 wrt v.\nAnswer: -72*v - 5790306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14872 and 3668808.\nAnswer: 47694504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69891*s*w**2 + 144123*w**2 wrt s?\nAnswer: -69891*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*f + 80*f = -76 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 34*m - 64. Give v(14).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*z - 15*z - 14*z + 29*z**2 - 8*z.\nAnswer: 29*z**2 + 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1031\/1211 + -1\/173. Let p = -0.3 + 0.1. Let j = p - -1.2. Which is the nearest to 2? (a) 0.1 (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1676562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2740711289 + -2?\nAnswer: -1.7259288711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 3*n = -32*h - 162, 329 = 2*h - n. Let v(d) = d**2 + d - 5. Let t be v(4). Calculate the highest common divisor of t and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -m - 9, 0 = 5*m + 4*t - 27 + 24 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243831.\nAnswer: 97, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289 and 40710529?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 0.22178\nAnswer: 1.99602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 55 = -289. Let i be 2967\/46*(-12)\/9. Is x at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 218*d*n**2 - d*n*r**4 + d*n*r - 6915*n**3*r + 635*n**3 with respect to r.\nAnswer: -4*d*n*r**3 + d*n - 6915*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.4, 59, 77, -2\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85171671?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -4\/3, 0, 4, 14?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 91*m - 1. What is f(34)?\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 0.4, 3, -2\/9, -0.74, 0.0939, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 1 - 1)*(-1975*r + 14 + 1346*r - 12).\nAnswer: -1258*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 605*u - 14235. Calculate t(-22).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*b - 168. Let g = b - -83\/3. Which is bigger: g or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 497, 486, 459, 410, 333, 222?\n\"Answer: -w**3 - 2*w**2 + 2*w + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1239\/(-5369)*1\/2)\/((-3)\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*r**3 + 9*r**3 + 2*r**3 + (5*r - 4*r + 3*r)*(3*r**2 + 4*r - 4*r) in the form o*r**2 + b + j*r + y*r**3 and give y.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1282341.06 to the nearest one thousand.\nAnswer: -1282000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (14 - ((-20770)\/(-460) - 31))*(-8)\/(-14)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Are 0.56 and -4\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1198, -5271, -12170, -21985, -34806, -50723, -69826?\n\"Answer: -15*u**3 - 1323*u**2 + u + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(132)\/sqrt(99))\/sqrt(4) + 0 + 2*sqrt(3)*3)**2 + 5)*-4*-3.\nAnswer: 2948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 757 - 2005 = 70*c - 478 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -122 in descending order.\nAnswer: -3, -4, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10020402 (base 7) to base 13\nAnswer: 230181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046200 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 87281 - 87425. Let u = 22 + 7. Suppose -2*i + 25 = -u. What is the lowest common multiple of k and i?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 36\/7, -3\/5 in increasing order.\nAnswer: -3\/5, 5, 36\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9908 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -95, -4\/37, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2\/2 - 969*d + 312987\/2 = 0.\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*s**2 + 18*s - 6 + 10*s**2 - 19*s**2)*(0*s - 2*s + 0*s - 4*s + 2*s + s + (0*s + 4*s - 2*s)*(-2 - 3 + 3)) as r*s**2 + c*s**3 + t + z*s and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -0.05 (c) -0.03 (d) 65\/132 (e) -1\/4 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 777560*g**4 + 3*g**3 - 1 + 15*g**2 - 777552*g**4 - 2*g to the form t*g**4 + n*g + k + v*g**2 + l*g**3 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2007 and 1338.\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -426 - -420. Let p be (-2)\/(-12)*6*2*n. Let w(j) = -j**2 - 10*j - 8. Calculate w(p).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egbg when four letters picked without replacement from {e: 5, b: 1, x: 5, g: 8}.\nAnswer: 35\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13938, 13937, 13936?\nAnswer: 13935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -465*z**5 + 4685*z**4 - 10010*z**3 = 0?\nAnswer: 0, 286\/93, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (9 + -14 - 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 + 119691336*y**3 - 1193834659455408*y**2.\nAnswer: -3*y**2*(y - 19948556)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18938378.\nAnswer: 2, 313, 30253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0*r**4 - 1\/30*r**6 - 1\/30*r**5 + 0*r - 2*r**2 + 0 + 0*r**3 - 1\/105*r**7. Determine z so that a(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + 5*(sqrt(17) + -1 + sqrt(17)) + sqrt(17) + -5*(sqrt(1700) - (-1 + sqrt(1700))).\nAnswer: -7 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-3))\/(2\/15). Let t be 10\/25 + (-194)\/a. Let s = t - -52. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170 and 6133280?\nAnswer: 104265760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/19 (b) -0.3 (c) 1\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/30)\/(3\/(-13320)). Let y = 1778 + i. Solve 6\/13*c**3 + 2\/13*c**4 + 0*c + 4\/13*c**y + 0 = 0 for c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 297*c + 6683. Determine t(121).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 127\/16? (a) -7 (b) 1 (c) -5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 8*v + 6. Let l be (-8 + 6)\/((-6)\/(-15)). What is z(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 112519542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1088376 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 2 + 7)\/((-14)\/4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 19 = 51. Suppose 2*s - 4*g - l - 26 = 0, -29 = -s + 5*g. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11.3 and 94890898216.\nAnswer: 94890898204.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 167425525?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + l**2 - 2*l**2 - 1 + l**2 + 1 - 4*l**2 + 5*l**2 + 0*l**2 + (-3*l + 3*l + 2*l)*(1 - 2*l - 1) as b + y*l + a*l**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14920303.\nAnswer: 14920303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 63 - 79*x + 33 to the form r + c*x and give c.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 15, k: 4}. Give prob of picking 4 k.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -17 + 15, -3*h + 2*q = -7007. Suppose -10*x + 135 + h = 0. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**2 - 6*y - 4. Let l be b(-1). Let m(k) = -k - 2. Let r(w) = 3*w + 5. Determine l*r(i) - 5*m(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.023 and 496?\nAnswer: -11.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhybybyglgbyygblbh. What is prob of sequence bhhl?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/((g*g**(-6\/5)*g)\/g))*g)\/g**(-6))\/((g**(2\/7)\/g)\/g**(-7)) assuming g is positive.\nAnswer: g**(-17\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17109 is divided by 300?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - 221110200000?\nAnswer: -221110200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3231333 - -320?\nAnswer: 3232313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 51\/84 + 11\/44 - (-261)\/609. Let a = 5 - 1. Factor 6\/7*i**a - 3\/7*i**3 + 0*i + 0 + x*i**5 + 0*i**2.\nAnswer: 3*i**3*(i + 1)*(3*i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*f - 2*f = 16, 2*n = -4*f + 16. Let k be ((-2)\/(n - 0))\/((-2)\/(-4)). Find the third derivative of 4*y**k + 13*y**6 + 673*y**4 - 673*y**4 wrt y.\nAnswer: 1560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52018 or -132?\nAnswer: -52018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 17*z**2 - 2. Let j(h) = h**2 + 1. Determine d(n) + 2*j(n).\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/3*(19 + -1)\/(-6). Solve -2*v + 18 = -2*h, 2*h - c*v + 48 = 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -38723\nAnswer: -193615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-6*-1*-2*sqrt(119))\/(-1*2*sqrt(252)*3))**2.\nAnswer: 272\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617312161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + -3 + 3)\/(8\/(-380)). What are the prime factors of 171\/b*(-110)\/(-2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - 35\/(-10))*(-376)\/6. Suppose -o = -4*n + 38. What is the lowest common multiple of n and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -g + 9. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*o**3 + 158*o - 190*o + 33*o**3 + 17*o + 15*o.\nAnswer: 130*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u - 5. Determine z(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2437650.36 to the nearest 1000.\nAnswer: -2438000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 23796656?\nAnswer: 23796654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2490*a**2*n**3 - 2565*a*n**3 wrt a?\nAnswer: 4980*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 244*z. Let f(q) = -4*q**2 + 68*q**2 - 68*q**2. Determine f(u(l)).\nAnswer: -238144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 2. Let r = 2 + -7. Sort w, r, 4 in decreasing order.\nAnswer: 4, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1795500061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-258)\/86 - 28\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, 10, 0, -445 in increasing order.\nAnswer: -445, 0, 1, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2397*m**3 + 4793*m**3 - 2380*m**3.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 163974 = -3*d, -173654 = -4*j - 2*d + 44960. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(68\/(-16) + -6). Suppose 0 = -12*j + 151 + o. Calculate the lowest common multiple of 20 and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16216162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 - -49.3. Let i = -152.8 + 211. Let n = q - i. Round n to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1, 3925 in ascending order.\nAnswer: -1, 2, 4, 3925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + 0*v**2 + 0*v**2 + 1 + v**2 - 1 + (-2 + 0 + 4)*(3*v**2 - 4*v**2 + 3*v**2) - v**2 + 3*v**2 - v**2 - 10*v - 5*v**2 + 10*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(60)\/(sqrt(10) - sqrt(90)) - sqrt(6)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -6554?\nAnswer: 6551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2730\/(-1092)*(-2)\/(-5)*-116. What is the highest common divisor of 13108 and g?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3 - 3741449*i**2 + 14965808*i - 14965812 = 0 for i.\nAnswer: -3741453, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9706017169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 11:14 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 124\/20*(-25)\/10*-62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 0*f - 4*f + 7 + 14*f + 8*f. Let t(u) = -u**2 + 8*u - 2. Let c be t(7). Is r(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 2*w + 8. List the prime factors of 96 - 1\/((-3)\/(-6))*w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 3. Let y = b - 3. Let i(p) = p**3 - 3*p**2 - 2*p - 4. Let w(k) = -k**3 + 2*k**2 + 2*k + 3. Give y*w(x) - 3*i(x).\nAnswer: x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1946591 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-13) - 98500\/5122?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 7*n**5\/30 - 2917*n**2. Let j(z) be the first derivative of -2*z**3 + 1. What is j(l(p))?\nAnswer: -1176*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 - 3*f**2 + f + 6. Let a be i(-3). Let b be (-2)\/(3\/a*5). Let k(m) = 5*m + 5. Let d(n) = -6*n - 6. Determine b*d(o) - 5*k(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3\/2 + 2043*r**2\/2 - 62009*r = 0?\nAnswer: -2102, 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6141 divide 1032744252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/69*(-507)\/(-26)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 4*g - 2*g + 7, 4*g + 32 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9306757cm in nanometers?\nAnswer: 9306757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 - 0.1. Let s = 0 - -5. Put s, 3, m in ascending order.\nAnswer: m, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(200)*1)**2 + -3 + (-4*sqrt(200)*-2*6)**2.\nAnswer: 460994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/616*11 + (-47)\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4269771 divided by 14\nAnswer: 4269771\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = -4*t + 8, 4*t - 3*h - 12 = 0. Let c(g) = -416 + 414 + 2*g + t*g. Give c(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3254316 years?\nAnswer: 0.03254316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19602*x - 1 + 4 + 14248*x - 53076*x - 15503*x.\nAnswer: -73933*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -22*d**3 - d**2 + 1. Let h be f(1). Let r = h + -18. Let b = r + 57. Calculate the greatest common divisor of 136 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/125, 1\/7, -5, 0.5.\nAnswer: -5, -2\/125, 1\/7, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22101120 (base 3) to base 2.\nAnswer: -1011111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 212 = -u, -2*j + 0*j + u + 82 = 0. Calculate the remainder when 166 is divided by j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9827500 rounded to the nearest one hundred thousand?\nAnswer: -9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*4\/13 + 21\/((-21)\/2). Let 4\/13*y**2 - 2\/13*y**4 + 0*y**3 - j + 0*y = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (14 - -34) + 34\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(5*(-10)\/(-100))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*b + 2*k - 10, -k - 6 = -5*b. Suppose -6 = -4*w + x + 6, -x = -b*w + 6. Let m(f) = -f**2 + 3*f + 1. Determine m(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:15 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12366 + 12420. Solve 5*s = -4*w - 20, x*s - 57*s + w + 5 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-seven fifths of a microsecond?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1022633229*q**4 - 1138570920*q**2?\nAnswer: 24543197496*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -502.99429 rounded to the nearest ten?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33361261 (base 7) in base 12?\nAnswer: -b73987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1656 and 50\/21?\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2688173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3052\/(-29355) - 62\/(-589). Let r = 18554\/10815 - w. Find x, given that 48\/7*x - r - 75\/7*x**3 - 15\/7*x**2 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1635 divided by -4123\nAnswer: 1635\/4123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4389*f - 100857. Determine b(23).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*v - 8 - 23 + 36.\nAnswer: -58*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-1850) - (-76)\/37\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (116\/5)\/(6\/15)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 - 48. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b**2. Let d(h) = -5*h. Calculate d(x(o)).\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -17, -57, -133, -257, -441?\n\"Answer: -2*x**3 - 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (0 - 0)) + (9 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2814, -2829, -2848, -2871, -2898, -2929?\n\"Answer: -2*d**2 - 9*d - 2803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 - 4*b**2 - 8*b**2 + (-b - 2*b + 4*b)*(57*b - 8*b + 52*b) as a*b**2 + u + i*b and give a.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 902.26 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, -27303, 6.1, -0.8 in descending order.\nAnswer: 11, 6.1, -0.8, -3, -27303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 12. What is the smallest value in t, -2, 13\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -5*x - 90. Suppose 48 = -0*z + 3*z. Suppose 5*h - 4 - z = 0. Solve -5*o + x = -b, -2*o + 11 = -h*b - 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*h + d, 2*h - 5*d + 0*d - 11 = 0. Solve -3 = -3*i + h*b, 4*i = -2*b + 3*b + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22188051 a multiple of 2080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -268, -354, -508, -742, -1068, -1498?\n\"Answer: -2*n**3 - 22*n**2 - 6*n - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + t + 1 = 0, -3*y + 19 = -6*t + t. What is the tens digit of y\/4 + 146\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -5. Suppose -2*w - a = 9. Let p(j) = j**3 + 6*j**2 + 2*j - 4. What is p(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 7:11 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 2\/5, 611, -5 in increasing order.\nAnswer: -5, -0.06, 2\/5, 611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:44 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12630217.\nAnswer: 12630217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 350 + -1 - ((-2 - -1) + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70780451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 12:55 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - (-10 + 3)) + -2 + 1 + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2825250 is divided by 572?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.29182cm to meters.\nAnswer: 0.6029182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 146544981?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 20*f - 3150. Let u = f - 304. What is the lowest common multiple of u and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 + -45 - -3 - (-10 + 0)) + -2 + 123?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + -1. Which is the third biggest value? (a) -1 (b) w (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -v + 44. Let o be (-4)\/18 + 6\/v. Let m(g) = -g**3 - g**2 + g + 14. Is m(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j - 2. Suppose -8*g + 358 = 342. Suppose 0 = -2*z + 5*z. Solve -j*l - g + z = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2 (b) 23 (c) -4 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -451 (base 9) in base 14?\nAnswer: -1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 294 = 4*d, -i = -0*d + d - 70. Suppose -2*f = -d - 24. Let c = f + -34. Solve 5*r + 34 = c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6763*z - 142542. Calculate s(21).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 484*w + 19. What is j(1)?\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*4*(39 + -40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4799628 plus 3366.2873?\nAnswer: 4802994.2873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 102359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f + 7 + 2*f - f**2 + 2 - 2*f. Let u be h(4). Let g(w) = w + 8. Let m(v) = v + 11. Let i(a) = -6*g(a) + 5*m(a). Calculate i(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (2\/4)\/(10\/114180). Let k = 51448\/9 - s. Let n = 586\/65 - 60\/13. Find the common denominator of k and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(2\/(-26))\/(18\/(-39))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 - 2171?\nAnswer: -2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22353 + 7334. Let i = -15018.800024 - a. Let s = i + -0.2. Round s to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.054 + 4.054. Which is the third smallest value? (a) 28 (b) l (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2 + 47814324*y - 190517464964748 = 0.\nAnswer: 7969054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8144023 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -453*f**2*k - f*k - 1558*k wrt f.\nAnswer: -906*f*k - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79030?\nAnswer: 2, 5, 7, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122699 + 122706.99984. Let o = 0.03 + 7.97. Let h = t - o. What is h rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1564 divided by -92\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 = -3*f, 4*f + 4*p - 4 = -f. Let t = -18 + -19. Let q = t + 36.9. Which is the closest to q? (a) -2 (b) 2\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3 + v**3 - 1 - 102014*v**2 + 102010*v**2 - 7 + 3*v + 6. Let f(p) = -p + 0 - 1 + p**2 + 0. Give -4*f(q) - l(q).\nAnswer: -q**3 + q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345355332.\nAnswer: 2, 3, 7, 167, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let p(y) = -1371996887*y**2. Calculate p(c(m)).\nAnswer: -5487987548*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 60*o + 63*o + 11 = 0, -2*c + o = -21. Solve -b + 4*v - 9 = 0, 3*b + 5 = 3*v - c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -892 and 230.92.\nAnswer: -205980.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -22, -9, 9, 0.3, -0.4, 17 in descending order.\nAnswer: 17, 9, 5, 0.3, -0.4, -9, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -5 (c) 13\/15 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 129 = -4*a - 3*i, -3*a - 102 = 2*i. Let w be 5*(3 - a\/(-15)). Determine k, given that 3\/2*k**2 - w - 3\/2*k = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**3 - 11*f**2 - 3*f - 17. Does 81 divide u(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.480102 + -0.48. Round p to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 2*l**5\/15 - 2*l**4\/3 - 2*l**2. Find the second derivative of f(x) wrt x.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-45)*-2 + (-12072)\/90. Let c = 23 - n. List the prime factors of c.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**7*l)\/(l\/(((l**(-2\/15)\/l)\/l)\/l)))**(-28))**(5\/12) assuming l is positive.\nAnswer: l**(-406\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p + 3. Let j(x) = -17*x + 8. What is 3*j(i) - 8*w(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 - (-1 + 1). Let c = 2\/5803 + -179905\/34818. Let k = c + 5. What is the smallest value in z, k, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 - 8*b + 14. Let o(d) = d**2 - d + 1. Calculate -6*o(s) + p(s).\nAnswer: -s**2 - 2*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 g when four letters picked without replacement from {l: 6, g: 6}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 25970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101011010100011 (base 2) in base 11?\nAnswer: 38312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10540, -42181, -94920, -168757?\n\"Answer: -10549*l**2 + 6*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 9. Let q = -15239.4 - -15239. Which is the nearest to x? (a) q (b) 1 (c) 2\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1148 and 451?\nAnswer: 12628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -156.677924?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -83427 + 5?\nAnswer: -83422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3107024.\nAnswer: 2, 23, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - j**5 + 0*j**3 + 145*j**4 - j**2 - 144*j**4.\nAnswer: -j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2212*z + 12 = -2217*z + 37, -4*a + 3*z - 2*z = 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/10 + 212*u**2 + 80850*u.\nAnswer: -u*(u - 2450)*(u + 330)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-4))\/((-5)\/(-60)*-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**2 - 293080*w - 5859600 = 0. What is w?\nAnswer: -58596, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 1033379364322?\nAnswer: 1033379364318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/3 + a + 1\/3.\nAnswer: -(a - 1)*(4*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 10*q - 7*q. Does 39 divide 191 + q + 5 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 53. Let n(y) = 2*y + 14*y**2 - 3*y**2 - 6*y**i + 4 - 6*y**2. Determine n(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Let q(g) be the first derivative of 65*g**4\/12 + 44*g + 49. Let r(v) be the first derivative of q(v). Calculate r(t(f)).\nAnswer: 65*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.98 + 0.02. Let b = -2421.9 + 2425.9. What is the nearest to 1 in -4, b, c, -3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 42.7 and 2144199772.\nAnswer: 2144199814.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2963\/(-5926)*-5*(-6)\/(-1 + 2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -192*g**7\/7 - 208*g**3\/3 - 142. Find the third derivative of k(x) wrt x.\nAnswer: -23040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129 - -178. Suppose 0*u + 2*u - 3*a - v = 0, 4*u + 2*a = 138. Suppose -u = -5*k + k. Solve -k = 3*h + 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15476, 31009, 46780, 62909, 79516, 96721, 114644?\nAnswer: 133405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 25458.651 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 184, 175, 166, 157, 148?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/945*-95)\/((-7*2\/(-28))\/(-7)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 - 4 + 5 + 6*p**2 to the form z + y*p**2 + h*p and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 80, 79, 76, 71, 64?\n\"Answer: -f**2 + 2*f + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 0 - 5)*(0*l - 4*l + l)*(2*l + 0*l - l).\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477194 is divided by 42?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 491461, 491458, 491455, 491452?\nAnswer: 491449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p**(-18)*p)*p**(-31) assuming p is positive.\nAnswer: p**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -9.0158\nAnswer: -1.80316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 119832 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -3)*(-5)\/(-1). Let q = l - -27. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v**5 + 507*v**3 - 2*v**2 - 22237*v?\nAnswer: -100*v**3 + 3042*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6145515 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5301 + 9442. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 12, -2 in increasing order.\nAnswer: -2, 12, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2*x = 4*k - 41, 4*k - 2*x = 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - n - 2 = 0, 3*f + 121 = 8*n + 194. Which is the closest to -1? (a) -0.5 (b) 16 (c) 0.14 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 + 49*c**2 - 286*c - 46. What is z(7)?\nAnswer: 1039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.8292 rounded to zero decimal places?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 33 = -y, -5*y + 382 - 325 = -2*x for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.77 + -131.83. Round c to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 4*m + 3. Let t be b(0). Suppose -165 = -5*n - 5*k, -3*n + 7 = -4*k - 92. What is the greatest common factor of t and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4)**47\/((p**(-5)*p)\/p)**(-1\/32) assuming p is positive.\nAnswer: p**(6011\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83*u**4 - u**2 - 205?\nAnswer: 332*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -24*h - 49. Solve -5*p + 2 = -h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5307772451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 18 = 12. Differentiate 29 - 20*q - t + 16*q + 12*q with respect to q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 3 + 3)*(4*v**3 + 4*v**3 - 3*v**3) + 42796*v**2 + 31*v**5 - 19*v**5 + 312*v**3 - 42796*v**2.\nAnswer: 22*v**5 + 312*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**3 + 2180945*b**2 + 237931795200*b + 23058868186260 = 0.\nAnswer: -218046, -97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -774*g + 721*g + 17*g**3 + 2*g**2 + 3*g**3 wrt g?\nAnswer: 120*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 3 - 3) + 16 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -12*y + 5. Let f(p) = -315*p + 59. Let a(r) = 109*r - 20. Let g(n) = -17*a(n) - 6*f(n). Calculate -17*d(j) - 6*g(j).\nAnswer: -18*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-70))\/(10\/35).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -39 - (6 - 134) - (12 - 1)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 695*2*4\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = -13*m + 48. Which is the third smallest value? (a) m (b) 5\/22 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8401, 15753, 23105, 30457, 37809, 45161?\n\"Answer: 7352*b + 1049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105 + -223. Let u be (4\/(-4))\/(-1) - -2 - j. Suppose 191 = 4*s - u. Is 41 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6569 is divided by 1101.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -786887668010 and 0.73.\nAnswer: -786887668009.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**2 - 272*c - 528 = 0.\nAnswer: -66, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q - 63. Let r be i(-21). Suppose 0 = -11*t + 16*t + 5, r = -4*j - 5*t + 615. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.202 - 108.202. Let m = -95.4 - a. Round m to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9*c + 419 = 10*c, -t = 3*c - 113. What is the second derivative of -t*m**3 + 66*m**3 - 26*m**2 + 26*m**2 + 119*m wrt m?\nAnswer: -228*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-12 + -41 + (-24 - -15) + 8).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/16*(-10)\/25. Suppose -8 = -4*j + 12. Let w be (j\/6*3)\/(-2). Put -2, f, w in ascending order.\nAnswer: -2, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*k + 8. Solve -k*d - 2*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244107?\nAnswer: 3, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -206, -382, -558, -734, -910?\n\"Answer: -176*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -10*a**3 - 2*a + 1200. Let f(s) = -12*s. Calculate j(f(v)).\nAnswer: -4320*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {m: 12, i: 1, p: 2, g: 3, l: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.701328 rounded to three decimal places?\nAnswer: 8.701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/4 - 23459*o\/4 + 17592 = 0. What is o?\nAnswer: 3, 23456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -210 - -209. Let s(v) = 42. Let q(a) = 8. Let c(u) = r*s(u) + 5*q(u). Let d(m) = -m**2 - 1. Calculate c(g) - 2*d(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17515*h**2 + 33791*h**2 - h**3 + 7 - 16276*h**2.\nAnswer: -h**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 365 - 81. List the prime factors of c.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20833361, 20833362, 20833363, 20833364?\nAnswer: 20833365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 497 = 223. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 25 = 10*g - 16*g. Which is bigger: g or -231\/19?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 823731 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 812, 945, 1076, 1205, 1332?\n\"Answer: -u**2 + 136*u + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - 11*f**2 + 5*f - 24. Let q be j(5). Let z be (6\/4)\/((-36)\/q). Let v(y) = 8*y - 3*y - 3 + 4. Determine v(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 4 - 6. Let a = z - -1. Let n = -1693\/20892 - 4\/1741. Is n equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -666 - -665. Put 11\/6, 2, w in decreasing order.\nAnswer: 2, 11\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-2 - 2\/(-4)). What is the derivative of -u + 5 - 2*i**2 + 0 wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*a - 2853, 0 = o + a - 3120 + 282. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34224 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 41.\nAnswer: -5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0577, 3, -1\/3, 90\/149, -4, 1 in descending order.\nAnswer: 3, 1, 90\/149, 0.0577, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 726?\nAnswer: 23\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**6\/6 - 3*x**5\/5 - x**4\/4 + 7*x**3\/3 - 4*x + 67. Find a, given that h(a) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -17563988\nAnswer: -3\/17563988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 3*k**5\/10 - 7*k**4\/12 - 4*k. Find the third derivative of y(a) wrt a.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggdggdggdgg. What is prob of sequence gg?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 856.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = 2*s - 3, 5*s + 4*c = -5. Let q = s - -5. Suppose -q = -n + 11. Calculate the greatest common factor of n and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxxf when four letters picked without replacement from {f: 6, g: 5, x: 1, v: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 - -130. Let s be y\/(-455) + 4\/(-14). Let w = -1.53 + 1.23. Sort 0.1, w, s in decreasing order.\nAnswer: 0.1, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5476 to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -30 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41\/2 + 21. What is the nearest to 0.1 in v, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(14\/(-2)))\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*sqrt(9)\/sqrt(3) + sqrt(27)\/sqrt(441) + 3.\nAnswer: 43*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190494.45 seconds to hours.\nAnswer: 52.915125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 13. Let q(f) = -6*f + 1. Let l(d) = 19*d - 2. Let b(t) = 2*l(t) + 7*q(t). Let s(o) = 11*o - 8. Let j(i) = -8*b(i) - 3*s(i). Give z(j(u)).\nAnswer: u**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 12:59 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4970\/10 + (2*-1 - 1). Suppose 3*t + 23*t - g = 0. Solve -t = 3*y - 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tubbtttubuuuuuub. What is prob of sequence tb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 683646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -0.7, 110, -0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-17)\/(-1))\/((-3)\/(-9)). Let u(k) = 4*k**2 - 2*k + 6. Let r be u(5). Let q = r - s. What is the greatest common factor of q and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hml when three letters picked without replacement from {p: 1, w: 4, l: 4, m: 9, h: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 699102 and 738.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-4)*-1*1. Let o = -3.05077 - -0.05077. What is the nearest to 0.11 in o, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -84 - 13?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2668, 2425, 2182, 1939, 1696?\nAnswer: 1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 84983 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1506 and 7.06.\nAnswer: 1513.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(5\/3))\/y)\/((y\/(y*y**20))\/y) assuming y is positive.\nAnswer: y**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-12)*-3)\/(3\/(-66)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (287*y**2 + 14*y**2 - 51*y**2)*(-6*y**2 + 3*y**2 + 2*y**2)*(y + 2*y + 0*y).\nAnswer: -750*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*d - 8, 3*d = 3*h + 4*d + 1. Calculate the lowest common multiple of h and (93\/4)\/3 + 7\/28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**2 + 77*n - 691. Give p(8).\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 25856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*r - 5*r + 94*r**5 + 2*r**2 - 8*r - 13*r wrt r?\nAnswer: 5640*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-636)\/742)\/(60\/56)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g + 10 + 8 - 14 - 24*g + 50*g - 13*g. Let c(f) be the second derivative of f**2\/2 + f. Determine 6*c(m) - 2*k(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-27 + -10 + 52 + -88)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 16 = 5*z, 3*u = 5*z - 8 - 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 32. Determine w(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 3 - 2)*(6*c - c - 3*c) - 2*c - 2*c + 3*c - 3*c + 254 + 11*c - 250)*(-8 + 38 + 32) as w*c + r and give r.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.6 - -12.6. Put -2, -0.2, d in increasing order.\nAnswer: -2, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3006)\/668*(-4)\/(-35)*(-100)\/(-6)?\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**3\/6 + 2*k. Let j(m) = -2 + 2 - m**2. Give j(l(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 6*i - 60. Suppose 0 = -4*c + 2*c + 4*t + 24, 0 = 5*c - 4*t - i. Suppose -9 = -c*l + 15. What is the remainder when 46 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*b + 13*b + 8*b)*(-95 - 29 + 18)*(0 - 3 + 2).\nAnswer: 848*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5, 760 = p + 2*p - 5*h. Let y = p + -99. Suppose 5*v = -j + y, j + 3 = -1. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 360113114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*v**5 - v**3 + 4*v**3 - 3*v**3 - 5*v wrt v?\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + -5*sqrt(162)).\nAnswer: -220*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 2\/11, 2, -0.1, 23, -2\/1083?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 1:48 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/42783264 and 119\/24?\nAnswer: 42783264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -2, 1.\nAnswer: -113, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l - 1. Let c be y(-2). Suppose c*f - 313 = 3*b, 0 = -3*f + 7*f - 4*b - 244. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1531 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 102, 87, 70?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r. Let t(j) = -606*j**2. Determine t(a(n)).\nAnswer: -29694*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l - 2*l)*(l + 0*l - 2*l) + (l + l - l)*(3*l - 4*l + 2*l) - 6*l**2 + 0*l**2 + 4*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-341)\/(-3) + (32\/12)\/(-4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/8 and 0 - ((-27)\/66 - 2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2269 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14, -8, 18, 76, 178, 336, 562, 868?\n\"Answer: 2*a**3 - 2*a**2 - 2*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380797.\nAnswer: 380797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7317641 is divided by 503?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 641*l**3 + 325*l**3 + 143*l + 705*l wrt l.\nAnswer: 5796*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3702174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -19 (b) -6 (c) -129 (d) -16\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 28 = -4*d, 2*g - 1 = 3*d + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/11 (b) -0.5 (c) -62 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19ddd + 8d?\nAnswer: 1a08c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 7 = -2, 57 = 3*f - 2*m. What is the remainder when f is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5b3bcd1 + 1?\nAnswer: 5b3bcd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 7 = 4*j, -8 = 4*j - 215*t + 219*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -26077.2973 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k - 90*k = 162*k + 1120 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -598*g**4 + 166*g**4 + 244417*g - 243559*g wrt g.\nAnswer: -5184*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = k + k - 92, 450 = 5*i + 5*k. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j + 25. Let q(c) = c**2 - 5*c + 4. Let b be q(j). Factor -b*z**2 + 2*z**2 - 2*z**4 - 8*z**3 - 6*z**2.\nAnswer: -2*z**2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19476 divided by 18\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008531 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -225*b**4 + 278 wrt b.\nAnswer: -900*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from sfpdf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(9\/2))\/(-2))\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -494*t**2 - 91*t. Let i(b) = -11*b**2 - 2*b. Suppose 0 = 5*v + 3*y + 458, 0 = -v + 5*y + 20 - 106. Determine v*i(h) + 2*a(h).\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 435, 647?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 221? (a) -1 (b) -10 (c) 1\/219\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1593 - -12220. List the prime factors of i.\nAnswer: 19, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1591 or -1329?\nAnswer: -1329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 196\/35*25\/(-40)*4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(10\/3))**(-20) assuming g is positive.\nAnswer: g**(-200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 35*k + 288. Let b be y(-8). Solve 17 - 1 = b*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (15 + (-11 - -21)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 14*f**2 - 13*f - 5. Let a(k) = -9*k**2 + k - 2. Let l(p) = 2*a(p) + r(p). Give l(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**2*p**3 - 316*c**2*p - 3*c**2 - 103*c*p**3 + 25*c*p**2 + 2*p**3 wrt c.\nAnswer: 6*p**3 - 632*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3 + 1 = 0. Let p be 0 + (5 - 6) + 5. Suppose -18 + 10 = 4*q, p*t - q + 18 = 0. What is the closest to 0 in i, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(450)\/(sqrt(81)*2))\/(sqrt(1210) + sqrt(1210)*1*2 + sqrt(1210)).\nAnswer: -2 + sqrt(5)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76830342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50054 + 15616877\/312. Find the common denominator of 67\/312 and y.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 - 3. Suppose 3*q + s + 8 = -5, -4*q + 4*s = 12. Let v = 2 - 4. Put x, q, v in ascending order.\nAnswer: q, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1908, 3780, 5596, 7356?\nAnswer: 9060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 983687 and 437?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*p + 27 = 0, 2 = c - 0*c + 4*p. Let y be c\/(-4)*30\/(-9). Let w(t) = -1. Let s(f) = -2*f + 3. Calculate y*w(i) + s(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5827 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 2:45 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*j - 60 - 56, 2*j = 0. Let u = 66 + f. Suppose -p = -u*p. What is the nearest to p in -2\/33, 1, 0.1?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13784?\nAnswer: 2, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77536237*d**2*f**3 - 3*d**2*f**2 - 44*d**2 - 13*d - 915 wrt f?\nAnswer: 465217422*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -5. Let t = s + 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/16)\/(1 - -15*(-9)\/(-108)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/5 - 21*c**3\/5 - 4*c**2.\nAnswer: -c**2*(c + 1)*(c + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 72, 189, 376, 645, 1008, 1477, 2064?\n\"Answer: 2*u**3 + 17*u**2 - 6*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 5:21 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 1431933 - 1431922 = -t, -3*m = -2*t + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyb when three letters picked without replacement from nbybbvnabny?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 m when three letters picked without replacement from {j: 2, h: 1, m: 1, u: 5, i: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -386276, -772558, -1158840, -1545122?\nAnswer: -1931404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 2, 1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 3\/7*t**2 - 8\/21*t**3 + 1\/14*t**4 - 2 + 0*t. Factor q(f).\nAnswer: 2*f*(f - 3)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/40 + 2\/(-40)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o + 9. Let u(n) = 7*n + 6. Let q(d) = 5*t(d) - 7*u(d). What is q(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 21*w = 199 - 44. Let g(i) = -i**3 - 5*i**2 + 2*i - 7. Give g(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 22 = 2*r + 16, 3*b - 56 = 2*r. What is the remainder when b is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513329.\nAnswer: 29, 31, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.016*-0.23\nAnswer: -0.00368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2.212.\nAnswer: 4.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, -22, -136, -282, -472, -718, -1032, -1426?\nAnswer: -1912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -625, -5, 5, 1 in decreasing order.\nAnswer: 5, 1, -5, -625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 6 = -2, -47 = 5*l + 3*t. Let u = 10 + l. Let b(f) = 3*f**2 - f. Let d be b(1). Solve -u = -d*a - 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnll. What is prob of picking 1 n and 1 l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*f**3 - 11*f**3 + 18*f**3 - 23*f**3.\nAnswer: -50*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -323514*r*x + 2*r - 5308716*x wrt r.\nAnswer: -323514*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15971\/7 + -2282. What is the closest to -10 in -1\/21, a, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 9:31 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 375334991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*121575500\nAnswer: 24315100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11258 - 11257.98. What is the second biggest value in l, 1\/5, -1, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47082928?\nAnswer: 2, 17, 173099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooppxopxpovoxvoop. Give prob of picking 1 v, 1 x, and 2 p.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l. What is t(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 7. Let w = 7 + -6.7. What is the closest to o in 0, -2\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, i: 5}. What is prob of picking 1 y and 1 i?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1055847, 2111689, 3167525, 4223355, 5279179, 6334997, 7390809?\n\"Answer: -3*c**2 + 1055851*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 - 1000011000?\nAnswer: -1001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-69)\/(-184) + ((-512865)\/(-40) - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-17)\/136*(-32)\/6. Let g be (-1)\/(-30) + 230\/1725. Factor 0 - g*j**2 - 1\/6*j**k + 1\/3*j**3 + 0*j.\nAnswer: -j**2*(j - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/1*((-660)\/80 - -9). Solve -3*t = 4*u - 2, u - 8*t = -7*t - d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17457611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/15)\/p**15)**(5\/2))**(-1\/16) assuming p is positive.\nAnswer: p**(227\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*2 + sqrt(252) - sqrt(28) - (sqrt(84)\/sqrt(3)*-1 + sqrt(28)))\/(sqrt(28)\/(-2*sqrt(700))).\nAnswer: -160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*h**2 - 252*h**3 - 190*h**3 + 481*h**3 - 56*h**2.\nAnswer: 39*h**3 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 2\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18525)\/24700*(2\/7)\/((-93)\/(-70))\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5*sqrt(144) + (sqrt(99)\/sqrt(275) - sqrt(9))))\/(-1*-6*-4*sqrt(300)).\nAnswer: 13*sqrt(3)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1825*h + 3*h**2 + 335*h - 1719*h.\nAnswer: 3*h**2 - 3209*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-4))\/(2\/76). Let s = -140 - w. Let x = 160 + s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**3 + 862*k**2 - 281*k - 10817. Determine m(172).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/9 and -67\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 5. Calculate the remainder when 2 is divided by (-1 - -3)\/((-4)\/f).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 6)*(-o**2 + 6*o**2 - 12*o**2)*(0 - 2*o + 0 + (-2 - 3 + 4)*(-4*o + 3*o + 4*o) - 2*o - 4*o - 2*o).\nAnswer: 546*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 906561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 152 - 13?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2886048 by 72.\nAnswer: 40084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 11:28 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004413 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4195352*i**3 + 9134048 with respect to i.\nAnswer: -12586056*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1544 is divided by 155?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17778.48 centuries?\nAnswer: 21334176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 70048656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34213998 - 34191038 = -205*v for v.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((2812\/(-209))\/(-37))\/((-8)\/4)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u**4 + 17*u**3 + 7*u**2 - 16*u + 3. Let m(j) = -j**4 - 2*j**3 - j**2 + 1. Let q(s) = -2*h(s) + 6*m(s). Factor q(g).\nAnswer: 2*g*(g - 8)*(g + 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -12. What is the nearest to d in 4, -0.2, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*y**5 + 1125*y**4 + 2051980*y**3 + 33982215*y**2 + 23820340*y - 8111040 = 0. What is y?\nAnswer: -284, -16, -1, 1\/4, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -10, -3, -4\/7, -207, 12.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -17*u**5\/60 + 19*u**4\/24 - 16*u**3\/3 - 31*u. Let y(z) be the second derivative of s(z). Differentiate y(d) wrt d.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*t + 66830 - 66830 in the form l + c*t and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.353 - -24.65. Let a = h + -2.24. Put a, 2\/21, -0.1 in decreasing order.\nAnswer: 2\/21, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 690 and 897805?\nAnswer: 5386830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1615172 and 3796?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-3*sqrt(8) + sqrt(8)))\/(sqrt(4) + 2*sqrt(100) - sqrt(4))*-6)**2.\nAnswer: 648\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 219*m**2 - 54*m - 3. Let p be c(-1). Calculate the greatest common divisor of p and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694 + 377 = 317*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -665.389 + -0.611. Let h = p - -660. What is the third smallest value in 0.15, h, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 0*f**2 - f**2)*(-f + 4*f - f) + (-3*f - 2*f + 2*f)*(-9*f**2 + 3*f**2 - f**2).\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*a**2 + 414380*a + 261744.\nAnswer: -4*(a - 5453)*(19*a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8030643718 to the power of 1\/2, to the nearest integer?\nAnswer: 89614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 0*j + 1 + 1\/2*j**2. Let q(l) = -l - 2. Let t(p) = 4*p + 7. Let n(w) = -7*q(w) - 2*t(w). Calculate n(k(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (65200\/6)\/(4\/300). What is s rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -0.06, 0.5, 0.41?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 20320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19678, -39350, -59022, -78694, -98366?\n\"Answer: -19672*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1435 + -10025105?\nAnswer: -10030544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*h, 4*d - 2*h + 87 = 1917. Let s be 0\/(1 - 2\/(-2)). Suppose s = 5*b - b - d. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2484 - 1284 + 3439 + 2188)*(-2 + 4 - 3)*(n**2 - 3*n**2 + n**2).\nAnswer: 6827*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 170*p**3 - 9*p**2 + 7*p. Let v(d) = -84*d**3 + 4*d**2 - 3*d. What is 3*f(m) + 7*v(m)?\nAnswer: -78*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1946 + -5 - (-8 + 3). Suppose 0 = 7*x - t + 630. Calculate the remainder when x is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 3. Let x be -4*3\/(-6)*1. Suppose -x*m + 4*m = 4. What is the least common multiple of d(9) and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**2 - 2*l**2 - 2*l**2)*(2 - 33 + 5) + 3 - 2*l**2 - 3 + (0 - l**2 + 0)*(-1 + 2 - 2) + l**2 + 3*l**2 - 2*l**2 as j*l + x*l**2 + i and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a174 + -47?\nAnswer: 6a128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5900000 = -6*r. What is r rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 43 = -b, 108*b + 2*j = 107*b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - w**2 + 7*w**2 + 79 - 5*w**2 + 3*w.\nAnswer: w**2 + w + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -89113*b - 267113. Determine h(-3).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -101*z + 1894. Give v(14).\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -307913589168.129.\nAnswer: -307913589167.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1\/9)*-6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2532085.\nAnswer: 5, 506417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*p - 2. Suppose -45 = -h - p*h. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19049 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: Let j = 63 - 60. Solve -k - j*k + 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2919907715.68 + -0.04.\nAnswer: -2919907715.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376 (base 14) to base 7.\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240459, -240460, -240471, -240498, -240547, -240624, -240735?\nAnswer: -240886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4087*48\/32)\/((-2)\/4 - 0).\nAnswer: 3, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 18 = -4*y, 4*x + 414*y - 412*y - 26 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 8*s**2 - 6*s + 4. Let v = -206 - -199. Give y(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*u**2 - 3)*(-109*u**3 + 26057*u**2 - 26054*u**2 + 43*u**3).\nAnswer: -264*u**5 + 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/2*(-2)\/3. Let t(b) = -b**2 - 13*b - 2. Let l be t(k). Solve -z = 3*z + 4*p - 12, -l = -4*p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 224 and 20038879?\nAnswer: 641244128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 25 (b) 3\/1189 (c) -5 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-3 - -4))\/(-21 + -2)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129 - -506. What is the second derivative of 636*f**2 + 0 - b*f**2 + 89*f**4 + 0 + 95*f wrt f?\nAnswer: 1068*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 115022203 - 2?\nAnswer: 115022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n - 11 + 12 + 14 + (-2*n + 2*n - 2*n)*(2 - 6 + 2).\nAnswer: 2*n + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528475 is divided by 75494?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -4*r**3\/3 - 4. Let v(o) = 0*o - o - 10 + 21 - 11. Determine v(i(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -801454*h**4 - 49*h**3 + 3*h**2 - 230*h + 40358 wrt h?\nAnswer: -19234896*h - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + y - 2)*(1 - 1 - 2)*(-45 + 0*y + 29 + 2*y) to w + t*y + r*y**2 and give t.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 10) in base 4?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 289009 and 2501.\nAnswer: 17629549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-z**5 + 0*z**5 + 2*z**5) + 66*z**5 - 135*z**2 + 135*z**2.\nAnswer: 68*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 3 - 11*i + 576736*i**3 - 576734*i**3 to t*i**2 + r*i + p + o*i**3 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 5)\/((-2)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 13*w + 0 + 0.\nAnswer: 13*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -352, 40669?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -371*w + 1314. Give k(3).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-4) - ((-6616)\/(-32) + -3)*-26 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 78 = -4*i, 3*b + 2*i + 68 = b. Is b smaller than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-80)*(-2)\/29*(-18)\/1485*-11.\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 15089013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/6 and (-7)\/(-42)*260\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134448 - 9657.5\nAnswer: 124790.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*d = 83*d - 120*d - 8096 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4029c - -1?\nAnswer: -4029b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 95 = m - 120, -75 = -5*p - 4*m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 10, 2, -4, 11, 4 in increasing order.\nAnswer: -4, 2, 4, 7, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/((sqrt(352) + sqrt(22))\/sqrt(11)) - (sqrt(637)*2 + -5)**2) + (2 + (5 + sqrt(1053)*1)**2)*1.\nAnswer: -1493 + 1151*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -16*s**2 + 6183*s - 2697. Determine d(386).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1196944 divided by -112?\nAnswer: 10687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2 = 6*y. Calculate the least common multiple of y and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.2365, -2, 0, 1 in increasing order.\nAnswer: -2, -0.2, 0, 0.2365, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-456)\/132 - (-6)\/(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -44 (c) 13\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a factor of 1322342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53532965477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*c - 18 = 0, -2*x = -x + 2*c. What is the tens digit of 2778*8\/16 + x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 29 = -109. Let f = -51 - -98. What is the remainder when f is divided by 5\/l*44 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37732.749 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*w**2 + 4 + 6 - 16 - 3*w wrt w?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2976\/(-36))\/(-31) - 71\/12.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2ac3 + -5b74?\nAnswer: -8967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 2. Let o be s(-4). Suppose -a - 2 = v, -3*a + 3*v - 4*v + o = 0. Let z be 1\/1 - (-2 - 2). Sort a, 3, z in increasing order.\nAnswer: a, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8955.\nAnswer: 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3 + 21. Calculate the common denominator of -47\/5 and (-302)\/(-21) - u\/(-42).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20998, -84023, -189066, -336127, -525206, -756303?\nAnswer: -1029418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*x + 2 - 3*x**3 + x**4 - 3 + 99*x + x**2 + 5*x**4 in the form m*x**2 + v*x + d*x**3 + h + k*x**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 = 3*b + 33. Let g = b + -29. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 * -156069\nAnswer: -608669.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16303860 + 16303860 + 4140*s)*(2*s - s - 2*s)*(-s - 3*s**2 + s).\nAnswer: 12420*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z + 32. Calculate d(-13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 3*j + 26 = 0, 0 = 1691*q - 1689*q + 4*j - 18 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 181*n**2 + 2*n + 4. Let v(x) = -16470*x**2 - 183*x - 366. What is -549*u(m) - 6*v(m)?\nAnswer: -549*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -272.\nAnswer: -272.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-6 + 1)) + (14 - 11)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114 - 4 - (-35 + 49 - -15)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 9*d + 11. Let j(q) = -3*q**3 + 3*q - 23 + 12*q**3 + 11*q**2 + q**2. Let k(a) = -5*a**3 - 6*a**2 - a + 12. Let y(h) = d*k(h) + 6*j(h). Give y(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1636\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*u + 84626 = 360566. What is the greatest common divisor of u and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3430283*j**3 - 6424097 wrt j?\nAnswer: 10290849*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**3\/3 + 7*w**2\/2 + 3*w + 1. Suppose 39 + 1 = -8*r. Calculate v(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/2 - (-6)\/2)*-4. Let a(q) = q**3 + 5*q - 1. Let z be a(r). Let o = z - -80. Sort -1, o, 0.\nAnswer: o, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 8 + 34. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4 - 2*i**3 - 80*i**2*k**2 - 537*i*k + 17*k**2 wrt i?\nAnswer: -24*i**2 - 12*i - 160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - 6. Let k be z(-5). Let l(p) = -k*p - 1 + 5*p + 17. What is the units digit of l(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 2:53 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3 - 1)*(-14 + 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -103*p**4\/2 + 8*p**3\/3 + 2087*p**2\/2 + 6569. Find the second derivative of r(o) wrt o.\nAnswer: -1236*o + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124517 or 1245183\/10?\nAnswer: 124517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1290055 = 2069945. What is v rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 17*j**2 + 4*j - 2. Let r be l(1). Suppose 21*h + r = 5*u + 25*h, -h = 2*u - 10. Let d(z) = z - 7. Calculate d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-13) - 656\/(-208) - 2. Suppose 0*j = -j + 2. Is p bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.536 to one dp.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44, -142, -292, -488, -724?\n\"Answer: t**3 - 32*t**2 - 9*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/1 - (0 - 1). Let q = 46 + -48. Let r be (1\/q)\/((-2)\/8). Solve 2*u + k*g = -8, -5*u - 9 = 3*g + r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 618992177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -29. Let u = -11 - f. Suppose 2 + 1 = 3*o. Calculate the greatest common factor of u and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5893643 is divided by 1473372?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1086.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k + 5*k)*(-50*k - 69*k - 40038 + 40035).\nAnswer: -357*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3428.1767 - -0.68756\nAnswer: -3427.48914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from jax?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111111011001101111 - -1011001?\nAnswer: -101111111011000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7068844868?\nAnswer: 2, 17, 4007, 25943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -37698d2b - 2?\nAnswer: -37698d2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1012 - 980. What is the remainder when f is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2175*w - 25961. Determine q(12).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a*b**2*j - 23*a*b*j - a*j - 14*b**4*j - 4*b**3*j - 24*b*j wrt b?\nAnswer: -12*a*j - 168*b**2*j - 24*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -15*g**2 + 14*g - 10. Let a(p) = -6*p**2 + 4*p - 3. Let z(o) = 21*a(o) - 6*c(o). Let q(s) = -s. Give q(z(x)).\nAnswer: 36*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 8*d**2 + 6*d + 7. Calculate w(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4\/558045 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63430739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pii when three letters picked without replacement from {p: 3, i: 2, e: 4, y: 9}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 797, 2032, 4031, 6950, 10945, 16172?\nAnswer: 22787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x**2 - x - 1. Suppose -f + 3*t - 6 = 0, 4*f - 17*t - 32 = -19*t. Let p(a) = -11*a**3 + 4*a**2 - 6*a - 6. Give f*z(m) - p(m).\nAnswer: 5*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + (sqrt(684)*5 - sqrt(684))) - sqrt(209)\/(sqrt(11)*-1 - sqrt(11)))*-1 + 2)**2.\nAnswer: 94*sqrt(19) + 41987\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/2 + -3)\/(3 + -4). Sort 3, -1, w.\nAnswer: -1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 669*u - 669*u - 9*u**4 + 358*u**3 + 236*u**2 + 15*u**4 + 0*u**4.\nAnswer: 2*u**2*(u + 59)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -8*x - 40. Let p(l) be the first derivative of -2 + 0*l + 0*l**x + 0*l**4 + 1\/2*l**6 + 0*l**2 - l**3. Find the third derivative of p(g) wrt g.\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01096164562 to 6 decimal places.\nAnswer: -0.010962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*m - i, 15*m + 5*i + 22 = 11*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5037, -10077, -15117?\n\"Answer: -5040*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a - 1. Let o be t(1). Let u be (-8)\/o*(1 - 4). Factor 3*r - r + r**u - 3*r + r**3 - r**2.\nAnswer: r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-2) - -6)\/1. Solve c + 7 = 2*v, 2*c + 25 = 5*v - j*c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvcw when four letters picked without replacement from {c: 3, w: 3, r: 4, v: 4}.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6bd - 1?\nAnswer: -6c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6244 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 3\/4, 0, 4\/5 in increasing order.\nAnswer: -18, 0, 3\/4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 17*b**3 + 1088*b**2 + 3*b - 160. Let r be z(-64). Let x be ((-1)\/((-1)\/(-353)))\/1. Which is greater: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*x = 10, -10 = 5*y - 11*x + 6*x. Solve y*w + 10 = -0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -79. Let r be (6\/1)\/(3 - 1). Suppose 15 = r*j + d. Which is smaller: -8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 25989.\nAnswer: -103956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-1))\/(4615\/(-142))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c + 1. Let a be h(5). Let u = -17 - a. Let q(w) = -w**3 - 7*w**2 + 8*w + 14. Let l be q(u). Solve -b = 3*k + l, -4*b - b - k = 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -271.9 + 2051.9. Let p = v - 1779.99. Let j = -1 - 1. Which is the fourth biggest value? (a) j (b) -4\/3 (c) 0 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 95023 + -19?\nAnswer: 95004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-21) - (-1)\/7. What is the nearest to i in 0, 2\/13, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*b + 3 - 109, 121 = 5*v + 2*b. Calculate the remainder when 623 is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -9. Let z = -396 + 407. Solve 4*m - z = k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -10420, 1, 4, 46.\nAnswer: -10420, -48, 1, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 4 + 4*r**2 - r**2 - 6*r**2 - 9*r**3 + 25*r**3.\nAnswer: 16*r**3 + r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133.581 milligrams to kilograms.\nAnswer: 0.000133581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2298*a**3*y + 2451*a**3 wrt y?\nAnswer: -2298*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*v - 9, 5*v + 8 = 23. Solve 2*j - j - 4 = z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7209022?\nAnswer: 2, 3604511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -27. Calculate the greatest common factor of p and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 - -0.8. Which is the closest to 0? (a) 1 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 13. Let m be 5 - (-60)\/(-9)*(-36)\/(-16). What is s(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*a + 139*a = 661 - 193. Solve 0 = -5*o - 4*k - a, -4*k - 14 = 3*o - 2*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -4*(sqrt(153) + 2*sqrt(153) + sqrt(153)))\/(-1*sqrt(18)\/sqrt(2) + sqrt(9) + sqrt(9)).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/75*6\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247357729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -214 + 216. Suppose i*q + 6 = 5*q + 3*b, -b = 3*q - 10. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/19 and -131\/114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88.2 + -88. Which is the second smallest value? (a) 0.4 (b) 1\/6 (c) 0.1 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37303545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from nqqnnwq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20*(4 - (-90)\/(-24)). Let v(m) = m**2 - 21*m + 87. What is v(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10518 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*c + 40*c = -548 - 580 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*o**3 - 7*o**3 + 20*o**3 + (-o**2 - 2*o**2 + o**2)*(1 - 1 - 2*o) + 3*o**2 - o**3 - 3*o**2.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**4\/12 - 3*g**3\/2 - 37*g**2. Let y be l(-6). Suppose 0 = 5*s - y*s - 16. Calculate the greatest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 400*o**2 + 175976*o - 429743206?\nAnswer: 800*o + 175976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 10.9. Put -4, 5, t in decreasing order.\nAnswer: 5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -44264, 37 in descending order.\nAnswer: 37, -2, -44264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = r - 13. Suppose 2*g = 3*g + 3*d - 11, -d - 3 = 0. What is the smallest common multiple of g and r?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5686*l - 113709. Calculate t(20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - (17 - (66 - 52)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, u: 2}. What is prob of sequence ue?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 161723293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 332, 522, 732, 968, 1236?\nAnswer: 1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -188 - 198 - 4*r + 386. Let m(x) be the first derivative of 9*x**3 - 11. Calculate a(m(o)).\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 15 = 39. Let d be (-38)\/q + (-1)\/(-3). Suppose -3 = 5*y - 3*m, -4*m = 5*y - 2 - 2. Which is the nearest to y? (a) 4 (b) -1\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, -21, -80, -193, -378, -653?\n\"Answer: -3*a**3 - 2*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/105)\/(18\/(-162))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + 2.4. Let i = -0.4 - -0.8. Let p = 6.5 + -8.5. What is the nearest to p in x, i, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 12:30 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 13. Suppose -21 = 5*r + 34. Let u be w(r). Factor 0 - 1\/2*n**3 - 1\/2*n**u + 0*n.\nAnswer: -n**2*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5497 = -2*u - 3*s + 1572, 5*u - 17700 = -2*s. Does 77 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 2*u - 1. Let w = 2 - 5. Let q be n(w). Suppose t - 5 = -q. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 3*u**2 + 0*u**2)*(u**2 - 2*u**2 - u**2)*(-5 + 55 + 0).\nAnswer: -200*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-5 - -13) - (-10 + 6 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000329 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -344\/619 or 0?\nAnswer: -344\/619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -4*d + 9*l - 4*l, -l = 2*d + 7. Let z be ((-1)\/(-2))\/(d\/(-220)). Suppose -3*h + h = 0. Solve 4 = 2*o, -5*o + z = -h*y - 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/24*12\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -228, -2, -245, 28 in decreasing order.\nAnswer: 28, -2, -228, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/30*12\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/5862 and -77\/19056.\nAnswer: 18617712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3553 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 47.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**5\/60 + i**4\/6 - i**3\/3 + 8*i**2. Let v be c(-4). Is -5\/8 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63596 and 884?\nAnswer: 1081132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4063*9\/(-1377) + (-8)\/(-18).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 122501 and 0.02.\nAnswer: 122501.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 + 5 - 3 + h**2 + 4*h. Let x be c(-2). Let z = 1 + 1. Solve -4*b = -z*b + x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*s**3 - 152*s**2 + 1562*s.\nAnswer: 42*s - 304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 14 = -p, -3*p - 4 = 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*s - 242258 = -245996 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1324 + -1323. What is the closest to r in 1.9, -0.4, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7))**38\/(r*r**1*r)**(-13))\/((r\/r**7)\/(r**(-1\/2)\/r)*r**(6\/7)*r*r*r**(-4)*r*r*r) assuming r is positive.\nAnswer: r**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136547671 and 533?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -221\/2 - -109. Let r = 3.3 - 3. Which is the biggest value? (a) 0.5 (b) -0.1 (c) r (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -561 - 3?\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0. Let r be 12\/24*4\/6. Which is smaller: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 11. Suppose 0 = j*h - 0*h - 4. Let v = 1\/288 - -1147\/1440. What is the biggest value in h, 0, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o = 2*o - 24. Solve 0 = -5*a + 3*x - 16, 5*x - o = 5*a + 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7. Suppose 0 = 2*x + 3*y - y - 30, -5*x + y + 69 = q. Suppose 3*m - 4*m = -2*d + x, -5*d + 5*m = -40. Solve -3*u + u = -d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25633 - -25629.00036. Let s = l + 4. What is s rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*c**3*z**2 + 1684*c**2*z**2 + 349*z**2 + 131*z with respect to c.\nAnswer: 48*c**2*z**2 + 3368*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 3045*l**2 - 21510*l - 30800.\nAnswer: 5*(l - 616)*(l + 2)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.03, -143, 4 in descending order.\nAnswer: 4, -0.03, -1, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 53922 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61975.64ms in microseconds?\nAnswer: 61975640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2296*h*j**3 - 4*h*j**2 - 2*h*j - 29*j**3 - 12*j**2 - 2*j + 12 wrt j.\nAnswer: 13776*h - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 0) + 52\/4. Let d(l) = 4 + 6*l**2 - 9*l + 4*l**2 + h*l. What is the remainder when d(3) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*-6 + (sqrt(125) - sqrt(5))*4.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 14714.55662 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000252996577 rounded to seven decimal places?\nAnswer: 0.000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13 + 14 - 3*r - 21*r + 7 with respect to r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1\/2, 0.3, -4832\/3?\nAnswer: -4832\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-57)\/(-12) - 6\/8. Suppose -u = -6*v + 2*v. Let l = 2 - v. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7821.\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k**12\/k)\/k)\/k))**(-8) assuming k is positive.\nAnswer: k**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/4)\/(5 + (-411)\/84). Suppose 5*y + 11 + v = 0. What are the prime factors of (-8 + y + 2)\/(1\/(-3))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11778845752509.03000045 + -11778846912047. Let i = y - -1159538. Let v = i + -0.03. Round v to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*m + 2*m. Let d(a) = -3*a**2 + 5*a + 3. Let h(j) = -j - 1. Let y(t) = -d(t) - 4*h(t). Let r(g) = g**2 - g - 1. Calculate m*y(o) - r(o).\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.22 - 0.22. Let u = l + 19. Let m = u + -18. Sort -0.1, 0.1, m in increasing order.\nAnswer: -0.1, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170536 by 7.\nAnswer: 170536\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 4, 2012, 3, 5 in increasing order.\nAnswer: -4, 1, 3, 4, 5, 2012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14922.2 + -14922. Which is the second smallest value? (a) 4 (b) w (c) -19 (d) 17 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23662\/120 + 7\/(-21). Let m = -1141\/20 + w. Let h = m + -139. Which is the second smallest value? (a) -3 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*m + 2*m + 153*m**2 + 534*m**3 + 3*m + 492*m**2 wrt m.\nAnswer: 3204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95944217 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 0*v + 0*v**2 + 5\/36*v**4 + 2\/27*v**3 + 6 + 1\/15*v**5. Find g such that m(g) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3702\/9)\/(12\/18).\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2\/5 + 1573*x\/5 + 630 = 0?\nAnswer: -2, 1575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 13*s + 12. Let x be c(5). Suppose 3*v = 2*v + 22. What is the highest common divisor of x and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28116 and 171039?\nAnswer: 2052468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 16*q - 3. Let p(k) = 63*k + 5233. What is p(m) - 4*r(m)?\nAnswer: -m + 5245","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1241 - -1241.21. Sort j, 3\/5, 1\/9.\nAnswer: 1\/9, j, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -38?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 5:12 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 4*g**2 + 7*g - 1. Suppose 15 = -4*p + p. Let q be r(p). Let n = -6 - q. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -20*h + 872. Determine i(43).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o**4*o\/(o**(6\/5)*o))\/(o**(3\/5)*o**0\/o) assuming o is positive.\nAnswer: o**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b**2 + 7*b**2 - 34*b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/126)\/(296\/222).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 1.9, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -865 - -868. What is the third smallest value in -2\/19, 2, g, 2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.2, 14, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-658)\/(-35))\/((-1)\/(-30)). Suppose -r = -4*r + h. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11839207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2 - 4*g + 4 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 47 = 172. Suppose -5*u - g = 0, 2*u + 7 = -v - 0*u. Calculate the smallest common multiple of v and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -496*p + 4454. Determine u(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 4:29 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2424 and 420?\nAnswer: 84840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 88734868 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(18\/11))**3*((z*z**(-35)\/z)\/z)\/(z\/z**17*z) assuming z is positive.\nAnswer: z**(-177\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13395 and 618122991?\nAnswer: 2679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 5:40 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxax when four letters picked without replacement from xxaxxxxaxxxxaxxxaxa.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(4\/3)*q)\/(q**(-2\/3)*q)*(q*q\/q**(2\/7))**(-3\/13))\/(q**(1\/3)*q**(3\/10)*(q*(q\/q**(-6))\/q)\/((q\/((q*(q**(-3\/7)*q)\/q*q)\/q))\/q)) assuming q is positive.\nAnswer: q**(-18019\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*h - 379*h**2 - 2 + 147*h**2 + 279*h**2 in the form f*h + j*h**2 + t and give j.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 4 + 4 - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 = 0, -4*u - 17 = -4*r + 15. Suppose 4*t + n = 0, 0 = r*t - 2*t + 5*n. What is the second derivative of -8*o - 4*o**5 + t*o + o**5 + 2*o wrt o?\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*b**2 + b**3 - 8*b**3 + 19061 + 60*b**2 + 8*b**3.\nAnswer: b**3 + 19061","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6763, -6771, -6779, -6787, -6795, -6803?\nAnswer: -6811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61.1 - -65. What is r rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h - 3. Let q(j) be the first derivative of j**2 - 4*j - 209. Calculate 3*i(x) - 2*q(x).\nAnswer: 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59 by 57530.\nAnswer: -59\/57530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 2*s**2 + 3*s - 1. Calculate m(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 547*c**2 + 4*c.\nAnswer: 547*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/6 + 7439*m**3\/6 + 22307*m**2\/6 - 7439*m\/6 - 3718 = 0. Calculate m.\nAnswer: -7436, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 323819 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*n - 8 = 526*n + 2*k, -8*k - 68 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 5. Suppose -3*o = -j - 25, -3*j + 4*j - d = -o. Calculate the remainder when 122 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 208. Let a(x) = 28750*x. Give a(j(s)).\nAnswer: 28750*s + 5980000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 344.18326 to 1 decimal place.\nAnswer: 344.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 57*i + 37. List the prime factors of b(5).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -49.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eemmzmzeffm. Give prob of sequence ef.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-330)\/220*(-12)\/(-63).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 + -0.7. Let c = 1.14 - -2.74. Let z = -0.12 - c. What is the closest to 0.1 in -0.5, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 + o - 3)*(7*o + 5*o - 2*o)*(-2 - 4 + 5).\nAnswer: -10*o**2 - 20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(-18)*(x**(-2\/5))**(-28) assuming x is positive.\nAnswer: x**(236\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 242734 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053848 rounded to 3 dps?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 64*g - 8831. Let w be l(138). Put 3, 33, -18, w in decreasing order.\nAnswer: 33, 3, w, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -6. Let w be ((-4)\/(-6))\/(o\/27). Is (0 - -7)\/(w\/39) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1772 - 290. Suppose 0 = 4*a - 2*m - 3004, a + 4*m - k = -a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -4. Let g = -5 + 17. Calculate the remainder when g is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 7*w - 7*w)*(-9 + 13 - 18) to the form v*w + i and give v.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*f**3 - 2*f**2 + 54*f**3 - 26*f**3 - 18*f**3 + 56*f as k*f**3 + z + c*f**2 + l*f and give l.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-39))\/(-29 - (-460)\/15).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00782992 to five decimal places.\nAnswer: -0.00783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*i + 2*i - 33*i - 16*i - 4*i.\nAnswer: -75*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 4.9999728. Round l to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343009, 343033, 343043, 343033, 342997?\nAnswer: 342929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25649 (b) -0.12 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 + -200. Let p = c - -129. What is the lowest common multiple of p and 33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.069 in -0.5, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000916 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -g + 4743 - 4721, -5*m + 16 = -3*m + 3*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 199*o**5\/20 + 259*o**3\/2 - 806*o**2. What is the derivative of h(y) wrt y?\nAnswer: 1194*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2 - 190*x = 0. Calculate x.\nAnswer: -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 397 + -372 - (-5 - (0 - -2)) - (-4 - 1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 - (19 + -16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2576, -5110, -7644, -10178?\n\"Answer: -2534*k - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.0024667?\nAnswer: -0.0024667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*u - 364 = 0, 2*u + 149 = -2*t - 3*u. Let y = 109 + t. Calculate the remainder when y is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876648?\nAnswer: 2, 3, 36527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -956*x + 48 = -960*x. Let u be (169000\/2)\/((-3)\/(18 - x)). Round u to the nearest 10000.\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114855, -114857, -114859?\nAnswer: -114861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/21*-1)\/((-6)\/7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*n*y**3 - n*y**2 + 51*n + 7928199*y**3 - y**2 + 895283*y wrt y.\nAnswer: -30*n*y - 2*n + 47569194*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - sqrt(2736)*-2) + 5*((sqrt(76))**2 + sqrt(19)) - (sqrt(152) - (sqrt(152) + -2*sqrt(152)))\/sqrt(8)*3.\nAnswer: 35*sqrt(19) + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*g = -5*y + 59845, -2*y + 23953 = -g. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from evfvfvffieieeffff.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 16) + (-15 - 11) + 21\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 8. Suppose 3*c = 5*b + 63, -c - 35 = 3*b - 0*b. Is (-10)\/3*b\/u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11*(-3)\/(-3) - 40\/8. Suppose -s*c + 20133 = -25761. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5 + 5*x**2 - 5. Let n(j) = 1 + 0 - 1 - 2*j. Calculate n(z(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -9 + (18 - 8). Solve 0 = o*x + 5*a + 4, a - 1 - 9 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**16\/u*u**(2\/53))\/((u\/u**(-2))\/((u\/(u*u**(1\/19)))\/u)) assuming u is positive.\nAnswer: u**(12069\/1007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49513 and 355459.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2348, 2299, 2250, 2201, 2152?\nAnswer: 2103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6462 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 130294874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 8*w + 4. Let x be n(8). Let v = 11 - x. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 2 - 2)*(-63*c**2 + 192*c - 192*c) + 0 + 0 + c**3 in the form h*c + d*c**2 + s + z*c**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**6\/72 + j**5\/24 + j**3\/3 - 5*j**2. Let z(o) be the first derivative of l(o). Find the second derivative of z(g) wrt g.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 56, -2, 15, 2, 0 in descending order.\nAnswer: 56, 38, 15, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08111 + 4145.\nAnswer: 4145.08111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8*z**2 + 199*z - 406. Calculate u(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 83*w - 2901. Let v be j(35). Solve 59*t = -v - 55 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 32. Let u(p) = -4*p**2 + 5*p - 1. Let f(i) be the second derivative of -i**4\/12 + i**3\/6 + 229*i. What is c*f(t) + 2*u(t)?\nAnswer: 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16647*d**3*l + 297*d**2*l + 2*d*l - d + 3*l wrt d?\nAnswer: -99882*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 2*p + p - 23, p + l - 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34.15 + 0.15. Let q = -132 - i. Let k = q - -98.67. What is k rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 5*b**4\/24 - b**3\/3 - b**2 + b. Let p(c) be the first derivative of t(c). List the prime factors of p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-5 - -5 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1289 = -1959. Suppose -p = -8*m + 804. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -87, -90, -93, -96, -99?\n\"Answer: -3*c - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 6*c = -15*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 213*b - 2342. Give l(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13693 + -13686. Let b = 12 + -7. Calculate the remainder when j is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.49 + -0.11. Let t = -0.5 - q. Let w = 2.9 + t. Put w, -2\/5, -10 in descending order.\nAnswer: w, -2\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 3:21 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101333, -403045, -905899, -1609895?\nAnswer: -2515033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (46\/(-46))\/((-5)\/(-3) - 2). Let x be (p*12\/(-54))\/(5\/105). Which is the second biggest value? (a) x (b) -1\/2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(132)*5)\/((sqrt(12)\/sqrt(2) + sqrt(6))*1 - sqrt(6)))\/(-6*sqrt(2)*3 + (sqrt(98) - sqrt(98)*-1)).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from rzvzv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from cccoccoocooc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 116757 - 1425?\nAnswer: 115332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3*34165.5\nAnswer: -102496.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-20)\/6*15. Suppose -6*l - 3*q + x = -l, -4*l + q + 34 = 0. Suppose -116 - l = -5*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 + 217 - 48*s**3 - 111 - 221*s**3 + s**2.\nAnswer: -269*s**3 + s**2 - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 l when four letters picked without replacement from {c: 2, x: 4, h: 1, l: 1, t: 4, i: 2}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*f = -128*f + 351*f - 3060 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*t**4 + 74*t + 339 - 17*t**4 - 137*t wrt t.\nAnswer: -20*t**3 - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 16. Let h(t) = -t**3 - t**2 + 3*t + 2. Let y be h(b). Is y <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3 + 9. Let a be ((-2)\/2 + 3 - -2) + -6. Let x(q) = -4*q**2 - 3*q + 4. Let w(y) = 9*y**2 + 5*y - 9. Let d(l) = a*w(l) - 5*x(l). Determine d(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-6))\/((-18)\/18))\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 1 = -15, 2*x = 5*g - 33 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(-7)\/b))\/b**4*b**(3\/7)*b*b*b**(-1\/8)*(b\/(b\/(b\/(b**(2\/5)*b*b))))**(-1\/32)\/(b**7*(b**6*b)\/b*b) assuming b is positive.\nAnswer: b**(-6331\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 527701393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1370\/13, -5, -4, 22, -13?\nAnswer: 1370\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -20. Let w(i) = i**2 - 2. Let v be w(0). Which is the biggest value? (a) v (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1879, 4133, 6387, 8641, 10895, 13149?\nAnswer: 15403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -v - 1. Suppose n = -3*i + 629, -2*n - 1887 = -5*n + v*i. Suppose -5*y + n = -341. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Suppose 20 = v - 0*v - 3*c, -5*c = -3*v + 40. Find the third derivative of 3*o**v - o**5 + 4*o**2 - 2*o**w wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(2\/1)*(-129)\/(-172).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-5))\/(306\/(-54060)). Is -212 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d - 871463 - 452517 = 0. Suppose -d = -7*u - 13*u. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x - 3*h = 1, -36 = -3*x + 4*h. Let m = x + -5. Are 4 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-3) + 1 - (-19)\/3. Let g(c) be the third derivative of 1\/240*c**5 + 0*c + 1\/120*c**h + 0*c**4 + 1\/280*c**7 + 0*c**3 + c**2 + 0. Factor g(q).\nAnswer: q**2*(q + 1)*(3*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 1324010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 13*p + 6. Let h be g(6). Suppose -h = -7*o + 3*o. Suppose -13*q + 468 = -0. Calculate the highest common divisor of o and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - (-481081 - -1) - 6\/(-9)*6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/3 - -15 - 7497\/595. Suppose -3*q = -8*q. What is the closest to q in -1, -0.75, s, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-5 - 9)) + 12 - (45 + -4).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4344330 - -1?\nAnswer: 4344331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**3 + 3*r**2 - 10*r + 2. Suppose s + 21 = 4*s. Let l(c) = 4*c**3 + 3*c**2 - 9*c + 2. Let v(a) = s*l(a) - 6*d(a). Is v(2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*s + 223*s = 3*f + 13, 5*f - 4 = 3*s. Sort -12, -7, 3, f in decreasing order.\nAnswer: f, 3, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -90*n + 143. Calculate the remainder when j(-11) is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 50 + 63 - 114 + 3*l**2 + l**3. Let i = -3 + -1. Give n(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -0.02 (c) 4 (d) 0.7 (e) -1 (f) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86495.\nAnswer: 5, 17299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3253\/11407 - 38\/187. Is o smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-5)\/20*13218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 26*d + 27. Let t be m(-5). Let u = 136 + t. Solve 0 = -4*h + u, -3 = -5*a - 4*h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8190 = -26*a. Suppose 2*l + 8 = 2, 5*c + 2*l = 14. Suppose 0 = c*h + y - 312, 0*h - a = -5*h - 3*y. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(15\/(-9)))\/((-130)\/((-182)\/14))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15303 is divided by 1410.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 3 - 10*h + 9\/2*h**2. Let q be t(4). Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*r + r - 69, 52 = 4*w - 4*r. Let b = w - 11. Let p be (3 + 3)*(-4)\/(-12). What is the greatest common factor of b and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -325*f**3 + 71*f**2 wrt f?\nAnswer: -1950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 14*l + 15.\nAnswer: -(l - 15)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 342655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + r - 4*r - 2*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 24*n + 3*s - 45 = 0, 0 = -n - 3*s + 5. Solve -12*g + 8 = -n*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 - 26*q**2\/15 + 8*q\/15.\nAnswer: 2*q*(q - 4)*(3*q - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.7434 + -0.2566. Which is the fifth smallest value? (a) -0.2 (b) m (c) -3 (d) 1 (e) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/1467 or 0?\nAnswer: 10\/1467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 5*d**2 + d + 5. Let k = -1 + -2. Let o be -1*(-25)\/(-15)*k. Determine f(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1482 (base 12) to base 11.\nAnswer: -1894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5388)\/(-14) - (-6396)\/(-7462). Solve -1 = -3*u + k, -380*u + n*u - 1 = k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12014 take away -0.8?\nAnswer: 12014.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/126)\/(6\/63).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*d - 3*v - 2*v, -15 = -5*v. Let f = d + -2. Solve f = -3*b + b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111010000010000100 (base 2) to base 5\nAnswer: -30101300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -520*x + 1050*x - 525*x. Suppose -2*g = 2*g - 24. Let y(k) = 2*k + 6 - g. What is l(y(i))?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let g(f) = -5*f - 9. Let l(b) = -48*b - 96. Let p(v) = -32*g(v) + 3*l(v). What is p(s(d))?\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41.9 + 0.3.\nAnswer: -41.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*w + 67*w - 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/124 (b) 4 (c) -552 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-59)\/236 - 978\/(-8) and 278.\nAnswer: 16958","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 336*k + 2754 + 1614 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6*a - 1 = a, a - 21 = 5*w. Let p = w + 11. Calculate the greatest common divisor of 56 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y + 30 = 0. Suppose 10 = 4*g - y, 0 = d + 3*g - 31. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22016*v**3 + 5323*v**2 + 1 wrt v.\nAnswer: -132096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -58 (b) 0.1 (c) 5.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -609, -628, -659, -702, -757, -824?\n\"Answer: -6*d**2 - d - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.5 (c) 3\/5 (d) -0.252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 2)\/(10\/20). Let y(s) = -s**2 + 3*s + 39. Calculate y(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -941137\nAnswer: -3764548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/(-14 - ((-14)\/56 + (-147)\/12)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(168)\/sqrt(3))\/(sqrt(8)*6))\/(3*(sqrt(16)\/sqrt(4)*5 - sqrt(4))*1) + 2.\nAnswer: sqrt(7)\/72 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852540.\nAnswer: 2, 3, 5, 13, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d + 11. Let x be g(2). Let a be ((-524)\/(-1))\/(3\/1 + x). Suppose a = 4*f - 1062. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 13025 = -2*x, 1712 = -x - 5*i + 8241. List the prime factors of x.\nAnswer: 2, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1644.5 + 1644.7. Suppose -30 = 5*h - 3*c, 5*c + 38 = -2*h + c. Let w = h - -15. Is w > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -7 + (-33 - 1 - (-52 - -48)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 2, b: 5}. What is prob of picking 2 q?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 7:47 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/15 + -283\/30. Find the common denominator of -50\/7 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 657259 in -1, -1.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 0.1, -3, 0.4 in descending order.\nAnswer: 0.4, 1\/8, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 87?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12288555 divided by 155\nAnswer: 79281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -40. Let f(h) = -3*h**3 - 9*h + 9. Let n(p) be the second derivative of 4*p - 1\/6*p**3 + 0 + 1\/2*p**2. Calculate s*n(r) - f(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 36 = -c, 0*d - 4*d = 4*c - 48. Suppose 10*w = 2*m + 7*w + 1, 3*w - d = -5*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y - 4*y**4 + y - y + y wrt y?\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 19*r = -22*r + 3, -5*y + 5*r = -35 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/2772)\/((-1)\/3)*-2.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from lkk.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-2))\/54*12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/7 + 44946596*n\/7 + 505049122996804\/7.\nAnswer: (n + 22473298)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -44101 (b) 374 (c) -3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f - 28. Let g be s(18). Let u be g\/(-4)*4 - 4. Suppose -96 = -2*q + u. What are the prime factors of q?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6 + (-195)\/78*(-4)\/10. Let z be (-5)\/(-2)*(-2)\/(-20). What is the closest to l in z, -5\/7, -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 721905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 87*g**2 - 9*g + 5*g + 6*g to the form j*g + a + p*g**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 229522823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 268. What is the units digit of z(31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -131, -193, -311, -503, -787, -1181, -1703?\nAnswer: -2371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.3 + -11.1. Let d = r - -28.3999902. Round d to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 39. Let s be (-15)\/(-5) - (15\/(-3) + m). What is the first derivative of -s - 12 - 230*r**3 + 208*r**3 wrt r?\nAnswer: -66*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w**4\/4 - 4239*w**3\/2 + 203565*w**2\/4 + 747036*w + 209235 = 0. What is w?\nAnswer: -10, -2\/7, 37, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6. Suppose 3*t - x*i = 3, -2*t - 3*i + 3 = t. Is 1 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 + 6*a**2 - 6*a - 1. Let b be h(2). Sort b, -0.1, 3 in descending order.\nAnswer: 3, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 868 and 2232?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**4))*g)**44\/(g**(-15)*g\/(g**(-2\/61)*g)*g) assuming g is positive.\nAnswer: g**(16956\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4392851.\nAnswer: 17, 258403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 306900 to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-510)*-21*9\/(-63).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1520070 is divided by 422.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 42. Determine k(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2*l**3 - 4183*f**2*l**2 - 95725*f*l**3 + 5*l**2 wrt l.\nAnswer: 6*f**2 - 574350*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u + 45 = 48*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 236 + -21?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-145*l**4 + 167*l**4 - 187*l**4)*(3 - 6 + 1)*(-3 + 3 + 1) to h*l**4 + z*l**2 + t*l**3 + o*l + g and give h.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 13 - 20 = -5*g, -2*j + 2*g + 30 = 0. Calculate the remainder when (-1138)\/(-18) + (-6)\/27 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/3 - 29*n**3\/3 - 105*n**2 - 1519*n\/3 - 2744\/3.\nAnswer: -(n + 7)**3*(n + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 88669071, 88669070, 88669069?\n\"Answer: -b + 88669072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -b82 (base 16) in base 11?\nAnswer: -2239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -12, -3, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ad - -10bd8d?\nAnswer: 10c05c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2878 - 1459150\/507. What is the common denominator of b and -52\/33?\nAnswer: 5577","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 6 = -21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 9*a + 2. Let l be r(9). Let t be l\/3 - 19\/(-3). Suppose 0 = -4*n + 3*n + 4*h + t, -5*n + 35 = 4*h. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330564 < 209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3301 + -33?\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.65125599246 and 21.5.\nAnswer: 19.84874400754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12268*k + 12304*k - 24568*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -5 - (104 - 109 - (0 - 47)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74059.5*0.3.\nAnswer: 22217.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -32*c**3 + 84*c**2 - c - 1. Let z(h) = -h**4 - h**3 + h + 1. Let i(y) = -q(y) - z(y). What is the third derivative of i(a) wrt a?\nAnswer: 24*a + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 26. Let i(n) = n**2 + k - 3*n - 6 + n - 11. Let z(h) = -h**2 - h. Let v be (2 - -1) + 1\/(-1). Give v*z(b) - i(b).\nAnswer: -3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(19) - (sqrt(19)*-1*4)**2) + (-1 + sqrt(684))*2.\nAnswer: -309 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*k - 3*x - 74, x = 2*k - 30. Let u = k - -1. Suppose j - u = -2. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*a + 4\/7 - 1\/7*a**2 - 1\/7*a**3.\nAnswer: -(a - 2)*(a + 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -5, 25352 in descending order.\nAnswer: 25352, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137 + -181. What is the units digit of (x\/(-8))\/(2\/92)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*f*h**2*y + 5*f*y + h**2*y**2 - 15*h**2 + 80*h - y**2 wrt h.\nAnswer: -136*f*y + 2*y**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Find r, given that -4*r**5 + 28*r**4 + 208*r**3 - 832*r**2 - 768*r + 2880 = 0.\nAnswer: -6, -2, 2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 47*r + 8942. What is the units digit of y(-46)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4213.04 to the nearest ten.\nAnswer: -4210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1169999 is divided by 140?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (-4*sqrt(114)*-1 - sqrt(114))) + -2*sqrt(114)*2)\/((sqrt(36) + (1*sqrt(180) - sqrt(180))\/sqrt(5))\/sqrt(6)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 7:14 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -182 - -105. Let j = h - -77.0202. What is j rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 3*z**2 + 3*z. Let o be (-2)\/(-4)*(-3 - -1). Let a = o - -4. Calculate the remainder when 25 is divided by l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, t: 1}. What is prob of picking 3 a?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*g + 4*n + 27, 3*g - 36 = n. Solve -3*l + 2*s - g = 0, -2 = 2*s - 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**4\/12 - p**3 + 5*p**2\/2 - 16*p. Let f(w) = 0. Calculate w.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40851527 + -40851524.9999991. Let m = -2 + r. Round m to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.052 - 0.052. Let w = 21 - p. Let x = w - -13.99996. What is x rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*j - 223 = 0, 137 = 4*l - j - 44. Let y = -5 + l. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 1\/24 (c) 75.9 (d) -1 (e) -237\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -18*m - 110. Let i be x(-6). Let v(y) = -7*y**2 + 3*y - 32. Let q be v(-4). Do q and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y - 4*y + 10*y)*(-6*y**2 - 4*y**2 - y**2).\nAnswer: -154*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6048530 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23002, 46002, 69002, 92002?\nAnswer: 115002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29891391*l**3 - 119175125.\nAnswer: -89674173*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 - 47. What is the remainder when m is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by -165745.\nAnswer: -84\/165745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 571*w**2 - 24 - 223*w**2 - 317*w**2 as j + v*w**2 + u*w and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*m + 99 + 21 = 0. Let v = -3 + 4. Let c(o) = -3 - v - 2*o + 6. Give c(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -14*1)*-1. Suppose 4*n - 37 = -w. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s**4 - 603411*s**3 - 9790818.\nAnswer: 4*s**3 - 1810233*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d - 8. Calculate b(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 15 + v + v - 15.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*o = 10*h + 15, 0 = 3*h - 2*o - 10. Solve 0 = -5*n - 5*r + 30, 3*r = -n - h*r + 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*d = 111*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35401?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -419*0.09\nAnswer: -37.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -1836105, -0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofo when three letters picked without replacement from foof?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - 3*q**2)*(29*q**2 - 307 + 307) - q**4 + 0*q**2 + 0*q**2 - 23*q**4 - 23*q**4 - 3*q + 3*q**2 + 48*q**4.\nAnswer: -86*q**4 + 3*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/10)\/((-2)\/16)*21\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -51, -43, -47, -69, -115, -191, -303, -457?\n\"Answer: -p**3 + 15*p - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -9*h + 3. Let i be h + -2 + 356\/90. Is i equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1951320 and 2020?\nAnswer: 1951320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35630?\nAnswer: 2, 5, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034 is divided by 828.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3623134 to the nearest integer?\nAnswer: 1903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.461 + -224.461. Let y = k + 224.206. What is y rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 2. Let y be (18\/f - 2)\/2. Solve -8 = -0*v + y*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 20. Suppose -4*m - q*c + 147 = 0, -2*m - m = 3*c - 108. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + r**2 + 3 + 3*r**2 - 3*r + 3*r + (-r + 0*r + 3*r)*(3*r - 3*r - r) - 3*r + 3*r + 2*r**2)*(4*r + 1 - 3 + 0*r).\nAnswer: 16*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + sqrt(2) - sqrt(2))*-6 + 5)**2.\nAnswer: -240*sqrt(2) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 291277395778 and -0.1.\nAnswer: 291277395777.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**2 - 657780*s - 2631184 = 0.\nAnswer: -4, 164449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.73 - 593.73. Let z = l - -586.0000311. What is z rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w + 4*w**2 + w - 3*w**2. Let u(j) = j. Suppose -n + 3 = 2*k + 24, 45 = -3*k + 3*n. Let o = k + 14. Calculate o*u(x) + v(x).\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -377, -763, -1159, -1565, -1981, -2407, -2843?\n\"Answer: -5*b**2 - 371*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one fifths of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*k - 999*k = -1945*k + 2079 for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 12*h - 1. Let r be z(-5). Solve 12*f = r*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (18 - 15) - (-5 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3434, 3433, 3432, 3431, 3430, 3429?\n\"Answer: -h + 3435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 27964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4158509 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 - 149. Let s = 1.01 + -4.01. Which is bigger: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 24*k - 21*k + 28, -7*n = -k + 455 - 426 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3452.4 - -3455.4. Let h = -2 + 1.8. Which is the closest to -2? (a) h (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4847691684?\nAnswer: 2, 3, 11, 197, 277, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 426 = 4*t - 63, 179 = u - 4*t. Let l = u + -68. What is the second derivative of 3 - 23*b**2 - 208*b + 108*b + l*b wrt b?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 12:06 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5901.502ml in litres?\nAnswer: 5.901502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10672780 divided by -4\nAnswer: 2668195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 8.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 6 - 24)*(1 - 1 - 2*s**2).\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/((-164)\/24 + 36\/(-54) - -9 - 3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uub when three letters picked without replacement from bbbubbbbbuub?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 759 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 3*n + 6. Let r be p(-4). Suppose -2*x + 6 = -6*x - r*z, -x = -4*z - 3. Is 3\/11 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 131, 376, 807, 1478, 2443, 3756, 5471?\n\"Answer: 9*c**3 + 12*c**2 + 14*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10988353?\nAnswer: 31, 354463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1 (c) 112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 12*h - 9*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*((-4)\/2)\/6. Let s be (9\/y)\/((-1)\/(-2)). Let t = s + 11. What is the remainder when 3 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(sqrt(2448)*2 + sqrt(2448)) + -3*(sqrt(17) - sqrt(170)\/(sqrt(100)\/sqrt(10))) + -1.\nAnswer: -3 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(128) + 1 - (-3*sqrt(72) + 2)**2.\nAnswer: -654 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 2 = 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 634626 or 634603?\nAnswer: 634603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 8.8.\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24681 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*k + 5*k - 40 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, a: 2, v: 2, s: 2}. Give prob of sequence sta.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(99) + (sqrt(99)*-1 + -3 + sqrt(99))**2.\nAnswer: 3*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382802 is divided by 1244?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/877 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 381037581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48\/3000*25)\/(-1 - 13\/(-5)). Let n(w) be the first derivative of 0*w**3 + 0*w**5 - k*w**4 + 0*w + 0*w**2 + 1\/6*w**6 - 30. Determine d so that n(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.43 - 0.24. Round v to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = k - 73, -5*k + 14977*y - 14976*y + 41 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/90*(-18)\/(-4)*64\/96?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(18 - 184\/10) - (-4)\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -233222034 (base 5) to base 14\nAnswer: -1dc07b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 37\/5 of a microsecond?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/10*(-20)\/4. Let u(c) = 2 - 3*c + 2*c**2 + 1 - 2. What are the prime factors of u(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177874128 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2) + (-25)\/(-10). Suppose 0 = 3*q - 1 - f. Suppose -3*b = p - 113, -q = 2*p + 1. Calculate the highest common factor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 2:59 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-24 - 24) + 17\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**9\/f)\/(f**(1\/6)*f)*f**7*(f*f*f*f*f*f**(-1\/5)*f)\/f*f assuming f is positive.\nAnswer: f**(589\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -25. Let u(r) be the second derivative of 0 + 0*r**2 + 0*r**5 - r - 1\/12*r**4 + 0*r**o - 1\/30*r**6. What is the third derivative of u(z) wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*x**2 - 33195*x + 1661458 wrt x?\nAnswer: 60*x - 33195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-70)\/(1 - -9) - -11. Solve 0 = 3*x - 1 + r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (4 - 1) - -2 - 6) + 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4387909 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1431 or 173079\/121?\nAnswer: 173079\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoo when three letters picked without replacement from {y: 1, o: 7, g: 2}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 5*v**2 - 4*v + 4. Let s be h(4). Suppose 0 = -s*a - 5*u + 58, 5*u - 30 = -2*a + 4. What is the remainder when a is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5\/2, -0.07, 5, 2\/3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-90) + (-3)\/((-30)\/(-1))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (-1 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuunu. What is prob of sequence nuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 28 = 20. What is the lowest common multiple of z and 4 - 85\/(-7) - 4\/28?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3135 or -3137?\nAnswer: -3135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (-10)\/5 - (-2293 - -1). Let h = m - 1363. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (2\/(-20))\/(2\/(-12))*115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*r + 15 + 50, -2 = 2*r. Let o = 178 - 97. Suppose -59 = -5*t + o. Calculate the least common multiple of t and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*b**5 + 14*b**5 + 13*b**2 + 7*b**5 wrt b.\nAnswer: 1860*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m + 1. Let w(b) = 24*b + 26. Let r(n) = -18*a(n) + 2*w(n). Let i(o) = o. What is r(i(l))?\nAnswer: -6*l + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**2\/5 - 29865246*w\/5 + 74327743220043\/5 = 0.\nAnswer: 4977541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*j - 237. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 10*q = 4*r - 4, -3*r = 12. Suppose -12*j + 3076 = -q*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) -2\/11 (c) 4\/23441\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 > -736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w = -19*w - 26 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 368.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -177290.\nAnswer: 17\/88645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4244206189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 6 = -6*s. Let w(h) = -4*h**3 + 4*h - 4. Let d be w(s). List the prime factors of (-2)\/((-1)\/(9 - (d + 6))).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 5*i + 4. Let t be g(3). Let m be -4*46 + (1 - 0). Let f = m - -1645\/9. Is f smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 9*r**2 - 5*r**2)*(-4*r**2 + 4*r**2 + 5*r**2) - 3599*r**2 + 3599*r**2 - 5*r**4.\nAnswer: 30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 4*h + 22, y - 148*h + 143*h - 13 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zllkzzjjzkpjjzjzk. Give prob of picking 1 l and 1 z.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 7*f**2 - 15*f - 78. Let x be m(-6). Calculate the highest common divisor of x and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167550.\nAnswer: 2, 3, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*s + 20*s - 42. Suppose 6 = -s*c + 27. Solve -3*o - 18 = -4*y, 0*o - 3*o - 3*y = -c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 44 = 9*x. Let h be ((-2)\/(-6))\/(6\/369). Let d = h - x. Which is the closest to 0? (a) d (b) 4\/7 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447378764?\nAnswer: 2, 7, 1087, 14699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18174 = 1383*f - 1389*f. Calculate the remainder when f is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -814, -1622, -2428, -3232, -4034, -4834, -5632?\nAnswer: -6428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 1, o: 1, q: 1, z: 1, l: 1}. What is prob of sequence lv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -242 - -399. Suppose -3*n + n + i = -f, 4*i - 208 = -3*n. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*c = -51*c - 5*v - 245, 0 = -4*c - 3*v + 113 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/8)*u\/(((u\/(u\/u**(2\/9)))\/u*u)\/u) assuming u is positive.\nAnswer: u**(137\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.75171?\nAnswer: -1.50342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1116 = 969. Let d be (-586)\/(-6) + (-3)\/(-9). Calculate the greatest common divisor of d and k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 21*n**2 + 17*n + 31. Is z(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 i, 1 d, and 1 c when four letters picked without replacement from {i: 3, w: 6, d: 4, r: 2, c: 1, y: 2}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -567 + 1667. Suppose -3*a - 2*u + 182 = 0, -2*a + 19*u + 120 = 20*u. Calculate the remainder when y is divided by a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 - 62. Does 19 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*k**2 + 109*k**2 + 269*k**2 + 131*k**2.\nAnswer: 685*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 249084 and 220?\nAnswer: 1245420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17327.39 rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 > 0.161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -23.\nAnswer: -22\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 + 1116*c**2\/7 - 63974*c\/7 + 483912\/7.\nAnswer: 2*(c - 44)*(c - 9)*(c + 611)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 190 = 6*w, w = 2*g - 5*w + 7*w + 27 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**4 - j**3 - j**2 - j. Let z(d) = 3*d**4 - 9*d**3 - 9*d**2 + 6*d. Let k(g) = 9*h(g) - z(g). What is the second derivative of k(n) wrt n?\nAnswer: -144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.26 and -177?\nAnswer: 223.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/21 and -41\/748.\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 + 3*c**2 - 3*c + 3. Let s(d) = 10*d**3 + 16*d**2 - 16*d + 16. Suppose -j - 2*v = 12, 5*j + 4*v - 2*v + 76 = 0. Give j*f(p) + 3*s(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(192)*1 + sqrt(192) - sqrt(192) - sqrt(192) - 1*sqrt(192)*5)\/(5*sqrt(64)*-2))**2.\nAnswer: 1323\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w + 44. Let m be p(-12). Let o(n) = 2*n**3 + 6*n**2 + 2*n + 1. What is o(m)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9900 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: Calculate 1612 + -1614 + (-4 - (2 - 0)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 748 - 729. Sort -5, -3\/4, d in ascending order.\nAnswer: -5, -3\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 26, -27, -166, -421?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51865 and 787405.\nAnswer: 4715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -26 + 76 + -53?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(5) - (sqrt(605) - sqrt(605)*-2)) + 0)*4.\nAnswer: 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 - 5*y**2 - 2*y + 5. Suppose -5*w - 4 = 3*b, 34*b - 41*b = 2*w - 39. Let k(g) = -2*g**3 - 4*g**2 - 2*g + 5. What is w*k(q) + 4*m(q)?\nAnswer: 2*q**3 + 2*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*l - 396, 4*w + 12 = 4*l - 380. List the prime factors of l.\nAnswer: 2, 3, 17","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 eeek.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 + 109. Let h = 379 + -83. What is the greatest common divisor of g and h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, k: 2, c: 4}. Give prob of sequence bc.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87027 is divided by 42568.\nAnswer: 1891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + sqrt(17)) + (sqrt(68) + 2 - sqrt(68))**2 + -3.\nAnswer: -5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7304 - 1.7. Round o to 3 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 12*t**2 + 6*t + 6. Let o(g) = -g**2 + g + 1. What is -a(n) + 6*o(n)?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000157 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7)*u)\/(u*u**(-2\/5)))**8 assuming u is positive.\nAnswer: u**(-264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6329159105 less than 0.5?\nAnswer: 3.1329159105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1015 + -1014.975. What is the second biggest value in j, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*x + 1106, 0*x = x + 5*h - 217. What is the remainder when x is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -17.86. Let u = z - 0.06. Let v = 0.3 - 0.7. What is the closest to u in v, 0.3, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*g + 175*g = -130088141. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -28. Suppose 3*t + a - 6 = 0. Solve 4*i + 6 = t*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*g**4 + 8*g**2 - 4401*g?\nAnswer: -384*g**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25099, -25098, -25097, -25096?\nAnswer: -25095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-402270)\/(-132))\/(-265)*16\/(-46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2053392*d**4 - 14373741*d**3 + 20533899*d**2 + 30*d = 0.\nAnswer: -1\/684464, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 98, 62, -4, -106, -250, -442?\n\"Answer: -j**3 - 9*j**2 - 2*j + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 - 196 = 2*k - 4*h, 0 = -5*h + 25 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -780a97 (base 11) in base 9?\nAnswer: -2307823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559*h - 598*h - 195 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -7*j**4\/6 + 542*j. Let f(l) = 5*l + 2*l**2 - 5*l. Determine f(h(a)).\nAnswer: 392*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1166 and 318.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 21*q**3 - q. Let s be r(1). Factor -14*i**2 + 40*i**4 - 35*i + 15*i**5 + 37 - 16*i**2 - 47 + s*i**3.\nAnswer: 5*(i - 1)*(i + 1)**3*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*y + 12*y - 11*y + 176. Which is the smallest value? (a) y (b) -3\/4 (c) 192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqifqikfkfffqfkfqff. What is prob of sequence iqf?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2098455\/4 - 524545. Determine c so that -7*c - 99\/2*c**2 + 59\/4*c**3 + 6 + r*c**5 + 120*c**4 = 0.\nAnswer: -1, -6\/11, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -261?\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 9*s + 5*s - 22 = 0, 5*q - 4*s - 31 = 0. Let h = -8 + 13. Put q, h, -2 in ascending order.\nAnswer: -2, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -15*n**2 - 3. Let c(u) = -30*u**2 - 7. Determine 14*a(m) - 6*c(m).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*k + 64*k + 67*k + 61*k - 354*k + 56*k.\nAnswer: -29*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 72 in ascending order.\nAnswer: 1, 2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -7.7. Let a = 3.3 + -3. Let h = a - x. Sort 5, h, 1\/2.\nAnswer: h, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 16) to base 14.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4209, -4188, -4153, -4104, -4041, -3964?\nAnswer: -3873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3, 0.1, -3\/409?\nAnswer: -3\/409","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 36 - 51 = 5*l, -2*l = j + 7. Let s(x) = -2*x**3 - 10*x**3 - 4 + 5. Determine s(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032302 (base 5) in base 4?\nAnswer: -10112203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - -103 - -3) + -21 + -1.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.3, 6\/7, 3, -4\/19?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.53 - -9. Let y = 4.342 + s. Let b = -0.8 + y. What is b rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13374688 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (7 - -1) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35178804 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 5*d + d)*(-2*d**3 - 2*d**3 + 3*d**3) - 2*d**4 - d**4 + 5*d**4.\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 38116 = -7*c + 3*c, -2*c = f + 19058. Let b = c - -17588. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (-6)\/(-1) + -2 - (15 + -15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11210*b**3 - 5242*b wrt b.\nAnswer: 67260*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-98)\/(-63))\/(-14))\/(4*(-10)\/360).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261\/160 greater than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6*70\/(-120))\/(6\/180*5)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16128, -16121, -16110, -16095, -16076, -16053?\nAnswer: -16026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 7*g**2 - 36. Let j be o(-6). Factor 4\/9*n + 2\/9*n**3 - 2\/3*n**2 + j.\nAnswer: 2*n*(n - 2)*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95263*h**3 + 86312*h - 1 wrt h?\nAnswer: 571578*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.68211 years to decades.\nAnswer: 6.168211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -565 or 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -1\/108*s**4 - 5*s + 14 + 5\/54*s**3 + 1\/3*s**2. Determine n, given that l(n) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 + 19*q - 10. Let x be s(4). Let 1458 + 671*k**x - 333*k**2 - 108*k - 336*k**2 = 0. Calculate k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6608 less than 7?\nAnswer: 6.3392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 125000 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 5:57 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**5\/20 + t**4\/3 - t**3\/6 + 7*t**2\/2 - 3*t. Suppose 2*q + 3 = 2*x - 9, 0 = -x + 1. Determine n(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 + -396. Let n = -183 - k. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4592*o + 4584*o - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 1044*x + 1267595. Calculate f(-719).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 3*h**2 + 0*h**2)*(2*h + 2*h - 5*h) - 791*h**3 + 1890*h**3 + 932*h**3 + (h**3 + 2 - 2)*(4 + 2 - 4) - 3*h**2 - h**3 + 3*h**2.\nAnswer: 2030*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, -6, 7, 4, 36, 3.\nAnswer: -103, -6, 3, 4, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -33\/58?\nAnswer: -33\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) -5 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 0*h - 2*h)*(-47 - 4*h + 45 + 9*h)*(-9 + 4 + 3 + 36*h) to w + y*h**2 + l*h**3 + v*h and give y.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*l, -2*l = 288*w - 293*w - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-928)\/1653 + (-5)\/(285\/6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f**3 + 11*f - 21*f + 10*f.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/95 + (-1502)\/14269.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.13 + 18.43. What is the second smallest value in u, -80, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 16, -0.3, -232, 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 3662326.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1500 and 345?\nAnswer: 34500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + b + 5*t - 17 = 0, 0 = -5*b + 4*t. Suppose -3*y + b*y - 2153 = k, -y = k - 2147. Round y to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2061860 - 3745860. Round c to the nearest ten thousand.\nAnswer: -1680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25909 or 7191?\nAnswer: 25909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 3:25 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -805*h + 793. Let o be f(1). What is the smallest value in -4, o, 13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-6)\/(-81) - 0). Let c be m\/6 + 1\/(-2). Calculate the remainder when 33 is divided by 34\/8*c\/1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*12\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -132*r**2 - 2794*r - 477. Calculate w(-21).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15152911.\nAnswer: 59, 79, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442 and 650?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2577*w = -50948 - 13477 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8a7478 (base 13) to base 15\nAnswer: -4497a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/357, -13, 86 in decreasing order.\nAnswer: 86, 4\/357, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 11. Let a = 15 + m. Suppose -3*b = -5*o + 25, b - 10 = -a*o + 15. Solve b = 4*x + j + 22, -2 + 0 = j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 31\/31*(16 + -1). Solve -s - q = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47560 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28212 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5*f - 10, 4*f - 8*f = t + 8. Suppose 0*p = 2*p. Let z = p + t. Is -2\/59 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-10)*55\/(-33) - -7 - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89\/57944 or 0?\nAnswer: -89\/57944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.357599399 + 1.3576. Round n to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 56\/12)*-18. Let v = 45\/2 - 23. Let r = 0.2 - -0.3. Which is the nearest to l? (a) -0.2 (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 + 3*v - 3*v + (27*v + v**5 + 31*v - 51*v)*(-1 - 1 + 4).\nAnswer: v**5 + 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjlj when four letters picked without replacement from {l: 4, j: 2, b: 6}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 0, -5*r + 0*r - 5*z = -295. Calculate the remainder when r is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 16. Suppose 4*u + 10 = 34. Let w be s(u). Solve -5*l + l = -w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -11511132511?\nAnswer: 11511132520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*d + 108*d - 68992 = -86*d. What is the remainder when d is divided by 378?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*y + 1353, 8*w + 1800 = 4*y + 6*w. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7706710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 112945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 4*w**2 - 4*w. Let y be i(5). Suppose 5*q - 6 = -4*j - 2, 3*q - j - 16 = 0. Sort 3, q, y in decreasing order.\nAnswer: y, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -11*g**4\/4 - g**3\/3 - 11*g - 1. Suppose 10 = -b + 411. Let u(x) = 203 - b + 5*x**3 + 203. Determine -7*u(s) - 3*y(s).\nAnswer: -2*s**3 + 3*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24847\/5 - -4969. Let r = -0.4 + 9.4. What is the third smallest value in x, r, -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*q = 2*h + 3, -2*h = 2*q + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*b = 5, -4383*b = 4*x - 4386*b + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:25 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 2*g + w, -2*w = g - w - 86. Let r = g + -91. Suppose r = 5*j + 2*s - s - 109, -2*s = -j + 24. What is the smallest common multiple of j and 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 15*v**2 - 17*v - 68. Let w(n) = -2*n**2 - n + 1. Let m(d) = t(d) + 3*w(d). What is the units digit of m(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 142\/78 - 2 - 125\/(-375). What is the nearest to -2\/9 in z, 1.2, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 - 17*c**2 + 9*c - 14. Let l(d) = 2*d + 75. Let s be l(-42). Let p be f(s). Let o(y) = y**3 + 14*y**2 - y - 17. Calculate o(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 239232*a - 69 = -239228*a, a = 4*m + 72 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - 19.99. Let y = 30 + d. Which is the biggest value? (a) y (b) 2\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 21*j**2 + 0*j**3 + 5 + 0*j**3 + 24*j**2.\nAnswer: 2*j**3 + 45*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 206.\nAnswer: 3296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a. Let s(k) be the second derivative of k**3\/3 + 11*k**2 - 12*k. Let z be s(-10). Let t(x) = 5*x + x - 3*x - z*x. Calculate t(d(u)).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -0.024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -5a7a060?\nAnswer: 5a7a060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times -945.509?\nAnswer: 1040.0599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -1\/60*a**5 + 0 - 1\/3*a**4 + 0*a + 10*a**2 + 1\/3*a**3. Let m(x) = x**2 + 6*x - 7. Let s be m(-6). Give l(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7540000 to the nearest one hundred thousand.\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10682 and 40757171.\nAnswer: 5341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s + 2 - 2)*(-5 - 1 - 3) - 4 - 2*s + 4)*(10 - 10 + 12)*(3*s - 4*s + 6*s).\nAnswer: -1200*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + 1006*d**2 + 16587*d - 335. Calculate r(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j - 47. Let h(q) = -15*q + 91. What is 13*d(c) + 6*h(c)?\nAnswer: c - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 48, 139, 288, 507, 808, 1203?\n\"Answer: 2*l**3 + 11*l**2 - 2*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) -1196\/5 (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 7*c**2 - 8*c - 8. Let q be x(-6). Suppose -4*g = -2*z - 36, 0 = -3*g - 2*g - q*z + 58. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538.21769 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -8. Suppose -13 = -4*p - y, 4*p + p - 35 = -q*y. Suppose -5*m - 4*l = -771, 5 = -3*l - p*l. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -14, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5*p + 5 = 0, -9*p = -4*v - 5*p + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*w**3 + 94*w?\nAnswer: -696*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89177260 and 2071?\nAnswer: 2071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -144 + 132. Let i be (-33)\/(52\/z - -4). Calculate the greatest common factor of i and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-8) - (-1)\/(-2). Suppose 20 = q*c + 4. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3819\/(-525))\/1 - (-28)\/4 and -16\/175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 + 109*r - 42. Determine s(36).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + (-5 - (-1 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*t + 2*f = 339*t + 9, 5*t = -5*f + 30 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2360 = 5*r, r - 4 = -8. What is the greatest common factor of x and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6200 - -280.745.\nAnswer: -5919.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -1008*o + 1008*o - 4, -4*o = 4*d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - o + (-2*o - 3 + 3)*(1 + 1 + 0) + 3*o + 0*o - o)*(0 - 3 + 4)*(-1 + 4 - 4 + (-6 + 8 + 7)*(4 - 3 + 1)).\nAnswer: -51*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*a - 5867, -z - 7*a + 5930 = -3*a. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 4:34 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8.9*4463\nAnswer: -39720.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33)\/(-6) - (-10)\/(-20). Solve l*q - 15 = -0*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11411 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ac90 (base 15) to base 14\nAnswer: d493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 - 30*y + 10. Let w be o(-15). Suppose 2*l - 96 = -w*l. Let s be l\/(-3)*15\/(-25). Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -114. What is the tens digit of (4 + -2 + -90)*k\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8710964*x - 9074406.\nAnswer: 8710964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 + 4*p. Let q(j) = -j**2 - j. Let l(y) = y + 1. Let k be l(-3). Suppose -5*u = -5*x + 30, -3*u - 5 - 13 = x. Determine k*s(i) + u*q(i).\nAnswer: -2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven eighths of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, l: 2, t: 5, x: 2, z: 2}. Give prob of picking 1 t, 1 x, and 2 s.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 10 = -2*i - 3*i, 5*p + 5*i = 40. Suppose 5*v + 243 = 4*z - 237, 3*z + p*v = 395. Calculate the remainder when z is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 394 - 395. Is x + 6 + 1*(-4448)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760*g**2 + 3021*g**2 - 770*g**2 - 769*g**2 + 9*g**3 - 722*g**2.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**5\/6 - 27*t**4\/2 + 913*t**3\/3 - 5626*t**2\/3 + 4268*t - 9776\/3 = 0.\nAnswer: 2, 4, 26, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 2*t + 13*o, 5*t + 5*o + 17 = 8*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 133, 131, 129, 127?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 58. Suppose -b + i - 2 - 4 = 0, 12 = -2*b + k*i. Let u be (-171)\/b*200\/(-6). Round u to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 3*q - 3, -3*m + 2*q = 7*q - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9879 divide 1173233356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 5:39 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 169, 373, 659, 1027, 1477, 2009?\nAnswer: 2623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2908*u + 0 + 2910*u + 0.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**3 - 1989*z**2 - 965262*z + 1938456 = 0.\nAnswer: -327, 2, 988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -289929417*f + 288373402 wrt f?\nAnswer: -289929417","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177126416 to the power of 1\/2, to the nearest integer?\nAnswer: 34309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**3 - 4*l - 3. Let z be h(-1). Let i = 9 + -17. Is z greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70280.88cm in nanometers?\nAnswer: 702808800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 6\/23, -0.058, 93932, 0.1?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -19*r**3 + 17*r**2 + 2*r + 152. Let g(u) = -20*u**3 + 17*u**2 + 2*u + 149. Let t(i) = 5*g(i) - 4*k(i). Find the second derivative of t(h) wrt h.\nAnswer: -144*h + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*z**(-2\/3)))\/z)**(-14))**(-17))**(5\/14) assuming z is positive.\nAnswer: z**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 34*q + 110. Let h be a(-37). Is 343 + h\/((-3)\/9) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 + 69. Let l(w) = 5*w**3 - 18*w**2 - 2*w - 19. Let g(o) = -4*o**3 + 17*o**2 + 3*o + 19. Let r(j) = s*l(j) + 6*g(j). Is r(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, 24, 94, 234, 468, 820, 1314, 1974?\n\"Answer: 4*k**3 - k**2 - k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7402*a**2 + 0 + 6373*a**2 + 0.\nAnswer: -1029*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a week in minutes?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = 900 + 1908. Let a = z + 407. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161 - 95. Let a = w - 30. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**5 + 27*b**4 + 243*b?\nAnswer: 60*b**3 + 324*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (378\/(-147))\/(((-228)\/19)\/(-84)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c + 90. Calculate the remainder when ((-24)\/c)\/((-4)\/(-186)) is divided by ((-70)\/(-50) + 184\/(-10))\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Suppose 0 = -2*s - 2*s + 4*b + 20, -b = -4*s + 5. What is the nearest to v in s, -2\/23, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 255\/5530 - (585\/(-2002) - (-76)\/209)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(243) - 2*(sqrt(243) + -3*sqrt(243)))**2.\nAnswer: -36450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741871902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131 by -64846.\nAnswer: -131\/64846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3123 + -3?\nAnswer: -3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 2) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k\/k**(-2\/9))*k*k*k**(-4\/9))\/((k*k**(-13))\/(k*k**10)))**(-20\/13) assuming k is positive.\nAnswer: k**(-1580\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -12*n + 108. Let a be b(9). Suppose 11 - 1 = -2*f, -w + f + 14 = a. Solve l + 20 = 5*u + 7, -3*u = -w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64\/6*(-27)\/(-18) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0413261 rounded to four decimal places?\nAnswer: -0.0413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 - -0.15. Let w = -0.03 - j. Let i = 0.7 + w. What is i rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -10*z**2. Let d(s) = -3016*s. Determine u(d(n)).\nAnswer: -90962560*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20132 + -1?\nAnswer: 20131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 44305612\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t**2. Let p(r) = -46*r**2. Determine p(l(v)).\nAnswer: -2944*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 73340, 73360, 73380, 73400?\n\"Answer: 20*y + 73320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 29 - 2*q + 29 as t + h*q and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1142.6 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**23*h*h**(2\/11))\/(h**15*h*h*h**(-1\/4)*h))**38 assuming h is positive.\nAnswer: h**(-32243\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3206 + 3203. Let g = 7.96 + -8. What is the smallest value in q, 0.4, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.08 - 3.92. Let n = 3.7 + c. Let f = 3.9 + -4. What is the nearest to -1 in f, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -39. Suppose -2*n = 5*p - 8779, -s*p - 8*n + 3*n = -7013. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*d - 35*d - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-135)\/(-10))\/(2\/4). Suppose -v = -70 - h. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -29*d + 83. Determine u(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*k + 17, a = -0*a + k + 3. Suppose -a*m - 4*y - 8 + 48 = 0, -m + 8 = 5*y. Let h be 2\/(2\/(m\/2)). Solve g = 7 - h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109 - -132. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -69, -56, -21, 48, 163?\n\"Answer: 2*g**3 - g**2 + 2*g - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2626749 divided by 6\nAnswer: -875583\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*3\/20)\/((-18)\/(-10)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 18*u = 15. Let k(o) = -6 + 3 + u - 5*o. Let s(x) = -2*x. Calculate k(s(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -282, -661, -1052, -1461, -1894?\n\"Answer: -d**3 - 372*d + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/75, 13, -0.2, 19.1.\nAnswer: -0.2, 2\/75, 13, 19.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3114111 (base 5) to base 8.\nAnswer: -143724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4 - 692*j**3 + 34416*j**2 + 226112*j + 308992 = 0.\nAnswer: -4, -2, 68, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3)*-2)\/(-4*((sqrt(6) - -2*sqrt(6)) + sqrt(6))).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 733 + -400. Calculate the remainder when d is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 407 and 75.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 917011.7331 to the nearest 10.\nAnswer: 917010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35315 + -3553?\nAnswer: -43312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 - 115.085. Let p = 0.08500102 + s. Round p to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.44. Let y = -0.28 - u. Let q = y - -0.2419. Round q to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**5 + 78332*r**4 - 769410296*r**3 + 47402493968*r**2 + 3077641216*r - 189611229184 = 0.\nAnswer: -2, 2, 62, 19552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-2*-3 - 6*(1*sqrt(95) + sqrt(95)))\/((sqrt(2500)*-1)\/sqrt(5)).\nAnswer: 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.226, -104, -255?\nAnswer: -0.226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 25 - 36*y as u*y + w and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1102, 4363, 9780, 17353, 27082?\nAnswer: 38967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.1, -3\/7, -5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2236, -2192, -2148, -2104?\nAnswer: -2060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 53*s. Let c(w) = 2*w**2. Calculate c(h(o)).\nAnswer: 8*o**4 + 424*o**3 + 5618*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.8557 rounded to 1 decimal place?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 10:28 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/480 + d**4\/12 + 4*d**3\/3 - d**2 + 15. Determine c so that j(c) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 12) to base 4\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 877\/4535 + 6\/907. What is the closest to 2.045 in 3, -1\/5, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 19 = 5*y - 2*r, -2*r = -4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-18))\/((-23)\/(-276)))\/(62\/(-93)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 12 + 4. Suppose -r*z - z = -42. What is the smallest common multiple of 120\/28 + (-4)\/z and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1216*g**2 - g - 672 wrt g?\nAnswer: 2432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384687412.\nAnswer: 2, 359, 964267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.1 + 0.1. Let u = i + 4. Let q be ((-1)\/5)\/((-60)\/200). Which is greater: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 152, -85, -332, -595, -880, -1193?\n\"Answer: -j**3 + j**2 - 233*j + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 319, 616, 885, 1120, 1315, 1464, 1561?\n\"Answer: -i**3 - 8*i**2 + 328*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 549708 from 5215.\nAnswer: -544493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6433 and 3259693?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: 50 + -13 + -14 - (-4 + -2 + -5 - 1)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 110.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + a - 4, 3*z + 1274 = -2*a + 1282 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -5, 8, 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from hhlbbhhlhbhlbhhhhhhs.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2409892 and 37\/16869244?\nAnswer: 16869244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**4 - p**3 - p**2 - p - 1. Let t(n) = 10*n**4 - 11*n**2 - 3*n**4 - 9*n - 2 - 8 - 1 - 17*n**3. Let o(h) = 2*t(h) - 22*w(h). Factor o(b).\nAnswer: -4*b*(b + 1)**2*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 20 = 5*k, -5 = -5*q + k - 35. Which is bigger: q or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -139140 and -139157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -12, 3*n = -6*b + 2*b + 168. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 332?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let k be (-87783)\/(-12108)*(-3)\/(-29). Which is the fourth biggest value? (a) -2.5 (b) x (c) 1 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 94, -4, 1, -5, 29, 979.\nAnswer: -5, -4, 1, 4, 29, 94, 979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9))**(-7\/8) assuming s is positive.\nAnswer: s**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -19*h**3 + 3 - 6*h**2 - h**3 + 6*h**3 + 2*h + 9*h**3. Let j(y) = -11*y**3 - 13*y**2 + 4*y + 6. Give 13*f(a) - 6*j(a).\nAnswer: a**3 + 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*h - z, -5*h - 4*z + 10 = -13. Find the third derivative of -33*p**2 + 99*p**h - 25*p**2 + 0*p**2 - 19*p**2 wrt p.\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:41 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 9*x - 7. Suppose r - 3*r = 12. Is 11 a factor of i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/9)*c)**43*((c**(3\/8)*c)\/c)\/(c**(2\/9)*c) assuming c is positive.\nAnswer: c**(5443\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-16) + 22990\/3344?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 209*d**2 - 94*d. Let i(a) = 14*a. Give i(h(p)).\nAnswer: 2926*p**2 - 1316*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*o - 26 = 0, 5*g + 18 + 30 = -4*o. Let b = 2 - g. Suppose -12*d + 88 = -b*d. Calculate the highest common factor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/12 + 3*q**3\/2 - 5*q**2 + 5*q. Calculate y(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 528.6 + -528.3. Which is the fifth biggest value? (a) -27 (b) 4 (c) -3 (d) n (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**5\/40 - s**4\/24 + 7*s - 7. Let g(f) be the first derivative of h(f). Factor g(n).\nAnswer: -n**2*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5, 0 = -k - 3*k - 5*n + 111. Is -0.1 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/900)\/((-7)\/((-336)\/18))*5?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 3*l + 2*l)*(6*l**2 + l**2 - l**2) + (15 - 15 - 6*l**2)*(2 - 2 + l) + (-2*l + 1 - 1)*(1 - 1 - 3*l)*(-2*l - 3*l + 9*l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 763063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from juobc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 174288.\nAnswer: 522864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/75*-5*-15)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1006609 divided by -12\nAnswer: -1006609\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -18.5. What is the nearest to 0.2 in -10\/7, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9*m - 45. Let w be ((0 - -1) + 2)*(-19)\/3. Does 18 divide c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378834 + 1432*h - 378834.\nAnswer: 1432*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 101*f - 106*f. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 17 = 5*u + 2, -4*u - 5*s = -33. Suppose -8 = 2*m, m + 3*m = u*y + 16. What is the units digit of ((-92)\/y)\/(2\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 - 11 = -3*u - 5*j, -4*u - 4*j = -296. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3*y = 4 + 2, -3*m + 5*y + 34 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.749 * 27.\nAnswer: -20.223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/35 + 12\/7. Suppose -5*b + 25 = 5*l, b - 7 + w = 5*l. Solve b*g + 2 = 3*k - 4, 2*g - 6 = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**4 - 7 + 7 + (-p**3 - p**3 + 4*p**3)*(-3*p - 2*p + 4*p) - p**4 + p**4 - 13*p**4.\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4739 - 4579. Calculate the greatest common divisor of r and 2070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 22 - 16 = 0. Find the first derivative of -3*y**2 - 21 + 13*y**2 + 8 + z wrt y.\nAnswer: 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83116 or 80882?\nAnswer: 80882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061875097 to the power of 1\/3, to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 9:10 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3975442854.\nAnswer: 2, 3, 223, 2971183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-20)*2*-6. Solve -12 = l*m - 7*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -912612 (base 10) in base 4?\nAnswer: -3132303210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 >= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25654 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/14*6\/12. Let m = 104 - 57. Let r = -239\/5 + m. What is the nearest to l in r, -7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + k + 5. Let t be x(0). Suppose -t*w + 6*w - 10 = 0. Let p(y) = -y**2 + 11*y + 6. List the prime factors of p(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y + 0*y**3 + 1\/2*y**4 + 0 + 1\/6*y**6 + 0*y**5 + 0*y**2. Find the third derivative of k(l) wrt l.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 + 132. What is the smallest value in o, -3\/4, -3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 4:27 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -28*s + 3. Let g(k) = 2*k**2 - 8. Give z(g(c)).\nAnswer: -56*c**2 + 227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 5*y - y - 11*y + 1 + 4*y**4 + 5*y to the form z + i*y**3 + b*y + g*y**4 + w*y**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 2*x - 1. Let c(i) = -i**3 + i**2. Let k be c(0). Let q = k + 1. Let g be t(q). Solve -4*f - a = -2 + 3, g = -f + a + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1900, 5547, 10912, 17995, 26796, 37315?\n\"Answer: 859*d**2 + 1070*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/3)\/(44\/198). Suppose 0 = h - 2*b - 24 + 63, 0 = -5*h - c*b - 130. Let z = h + 59. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -9. Let u(a) = -a**2 - 7*a - 7. Let r be u(-6). Is (-3 - -36) + s\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 759 in -2\/9, -1, -2197?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 13*x + 269 + 6*x - x.\nAnswer: -11*x + 269","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2434688 + -9310588. Round v to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*q + 964*q = -1010*q - 313*q + 92167 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven halves of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**5 + 128*h**4 + 412*h**3 + 280*h**2 = 0.\nAnswer: -2, -1, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -200 and 67.\nAnswer: -13400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 1. Suppose -4*a = -a. Let u be w(a). Let k = 9 + u. Calculate the greatest common divisor of k and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1465\/12 + -367\/3. Which is the nearest to m? (a) 0.1 (b) 1 (c) 4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 16*i**2 - 34*i**2 - 51*i**2. Let v(y) = 7*y - 44. Let q(r) = 2*r - 12. Let h(j) = 22*q(j) - 6*v(j). Give m(h(z)).\nAnswer: -400*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -15\/22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(30) - sqrt(90)\/sqrt(3)) + (sqrt(150)*-2 - sqrt(150))\/sqrt(5) + sqrt(30))\/(sqrt(100)\/(sqrt(100)\/(sqrt(40)\/sqrt(4)) + sqrt(10))).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.5, -1952, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-140)\/(-21))\/((-2)\/(-16)). Let b = -131\/3 - l. Factor -5\/3*v**3 + 5\/3 + b*v - 5\/3*v**2.\nAnswer: -5*(v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - z - 5*z = -0*d - 24 - 41, -55 = d - 5*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 97 in 0.14, -4, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 71960661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (1 + -2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32658 rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7436 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 1:13 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3663 - -3662.9988556. What is r rounded to 5 decimal places?\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1313*u**4 - 414*u + 2?\nAnswer: 15756*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 5417530?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*s - 1188 = 0, s - 2*s + 2 = 0. Suppose 1176 - t = 4*y. What is the highest common divisor of 22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2\/5 - 416*f + 12840 = 0?\nAnswer: -1070, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 2:34 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -0.306, -448, 0.4, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - t - 3*t)*(-4 + 4 + 3*t)*(-t**2 - 4*t**2 - t**2).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d + 0*d + 2*d)*(2*d + 2*d**3 - d**3 + 7*d).\nAnswer: -5*d**4 - 45*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*a**2 - 22*a**2 + 9*a**2.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*c + 139 = 0, -3*h - h + 4*c + 588 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 4*u. Suppose -57*h - 4 = -58*h. Let n(d) be the third derivative of d**5\/15 - 11*d**4\/24 - 98*d**2 - 2. What is h*n(c) - 11*l(c)?\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14122040?\nAnswer: 2, 5, 41, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s. Let t be m(-9). Let c be (-2)\/(-8) - 3*(-3)\/t. Suppose c*f**4 - 1\/10*f**2 - 7\/10*f**3 + 0 + 3\/10*f = 0. Calculate f.\nAnswer: -3\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152 - -352. List the prime factors of o\/(-120) + (-1967)\/(-3).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/40 - (-4 + (-208)\/40). Let z(a) be the third derivative of a**4\/12 - 3*a**3\/2 - 2*a**2. Calculate z(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 8*u**2 + 11*u - 1. Let p be m(-6). Suppose 4*j = x - 6*x + 779, 778 = p*x + 3*j. Let o = x + -111. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 27, 25, 23, 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -267 - 17\/6*q**3 + 3*q - 3\/4*q**4 + 5\/4*q**2. Solve m(j) = 0 for j.\nAnswer: -3, -1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 112 = x. Is ((-7)\/(x\/60))\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 66\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -26 - (-4 + -1 + 51 + -48).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14275849013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-6\/11)\/n)**(-27) assuming n is positive.\nAnswer: n**(162\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 41*a + 152. Is q(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:49 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6)*8)\/((-24)\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5248 + 0.6248. What is the closest to -0.3 in -0.4, -1\/7, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from zxxzzxzgxxz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/213642 and -105\/1804.\nAnswer: 17518644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2 + 17*i + 2 + 4 - 4. What is the units digit of x(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 13, n: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/8 and 7\/3984.\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038740584 rounded to 3 dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**3 - 1 + 19*i**2 + 8*i**3 - 16*i + i**4 - 18*i**2 to c*i**4 + r*i + x*i**2 + y*i**3 + s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*q - 7 = -6*i, -2*i + 8 = -4*q. Let z be (-5)\/30 - (-1)\/i. Solve 3*h = -z*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -395*h + 510. Calculate d(2).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -4, -5, 8414 in decreasing order.\nAnswer: 8414, -2\/17, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -445*d**4\/4 - d**3\/3 - d**2 + 12. Is o(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 150bbc7?\nAnswer: -150bbc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + a - a)*(-2*a + a + 3*a) + 2*a**2 + a**2 - a**2 + 470*a - 31*a**2 - 52*a**2 - 472*a + 3 to the form n + q*a**2 + u*a and give q.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ab753 - -5?\nAnswer: -ab74b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooyoooyoyoy. What is prob of sequence yoo?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1 - 1) + 0)\/(-1). Let o = 1.05 - 1. Let x = -4.95 - o. What is the closest to n in 1, -1\/4, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65883, 131761, 197635, 263505, 329371, 395233, 461091?\nAnswer: 526945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-44)\/(-112) + 2\/(-8).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1980 less than -1980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 145*x**2 + 1120*x + 980.\nAnswer: 5*(x + 1)*(x + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 268 = -4*p, -3*d + 4*p + 73 = -123. Suppose -u + d = 3*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 879 - 483. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 3*s**3 + s**3)*(10 + 7607*s + 6 - 16 - 27082*s).\nAnswer: -38950*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 3*f + 3. Let y be m(-3). Suppose -4*b - 63 = -3. Let q be (5\/(-15))\/(1\/b). Solve -q*h + 8 - y = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 84*a**2 + 502*a - 13. What are the prime factors of v(-7)?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 982, 7725, 26014, 61621, 120318, 207877?\n\"Answer: 962*j**3 + j**2 + 6*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1037\/492 + -25\/12. Suppose 13*k - 6 = 10*k. Suppose 3 = -3*a, 4*x = a + k - 1. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 5 = -8*b, 0 = -u + 4*b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4 - 10. Suppose y + 17 = 2*r. Let w be (-4)\/(-2) + (-32)\/r. Put 0.3, -1, w in descending order.\nAnswer: 0.3, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/21 + 48\/98. Let y be 9 + 372\/(-48) + (-4)\/16. Is k at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.142 + -0.258. Let t = 130.4 + l. Let c = -106.43 + t. What is c rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z + 12. Let f(c) = -8*c - 12. Determine 5*f(h) + 6*p(h).\nAnswer: 2*h + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 32*y + 31. Let o be m(-14). Let c = -89 - o. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwjwwwwwjww. Give prob of picking 3 w.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1046283.5 - -1046283. Suppose 2*p = -2 + 4. What is the nearest to p in v, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 41315064?\nAnswer: 41315064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k - 34. Suppose -h - 28 = 3*b, 3*h + 116 - 80 = -3*b. Calculate q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/32 - (-8085)\/12880. Which is smaller: -0.1 or m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 6740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1. Let k(n) = -2*n - 3. Determine -k(b) - 3*v(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -23. Let d(f) be the second derivative of 0 - f - 3\/20*f**5 - 1\/3*f**3 + 0*f**4 + g*f**2. Find the second derivative of d(a) wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -843 divided by -8\nAnswer: 843\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than -5.733?\nAnswer: -5.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180 - 10*c**2 - 180 - 322*c**2 + 313*c**2.\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 704 + 76. Let g = 128 - w. What are the prime factors of (g\/(-5))\/((-58)\/(-28855))?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 13495 + 5298. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -3*r - 341 + 334, -b - 14 = 2*r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(0 + 3) + 4. Factor -4*w**3 - t + 6*w**4 - 2*w**4 + 2*w**3 - w**4 - 2*w**2 - w**5 + 3*w.\nAnswer: -(w - 1)**4*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13726319*i**3*m*q + 24*i*m*q + 51*m*q - 207150*q wrt i?\nAnswer: -41178957*i**2*m*q + 24*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52572044 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12010 (base 3) to base 7.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 689062011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**2 + 1451. Let u(x) = -2946*x. What is y(u(i))?\nAnswer: 5892*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 - 57 = 40*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16957, 67739, 152377, 270871, 423221, 609427?\n\"Answer: 16928*u**2 - 2*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/9 and -73\/350226.\nAnswer: 350226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172072 is divided by 2127?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x - 4. Let y(f) = -1. Let z(w) = d(w) - 6*y(w). What is the remainder when 26 is divided by z(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 7*d**2 - 9*d + 16. Let k be c(7). What is the remainder when 38 is divided by -1 - 0\/(-1) - (k - -26)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/11 and (2\/44)\/((-413)\/3835).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176\/(-8) + (8 - -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5771, -2\/5, -1\/4, -187.\nAnswer: -5771, -187, -2\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -3*r**2\/2 + 6*r - 19. Suppose 6 = 5*p - 24. Let g(d) = 1. What is p*g(c) - j(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -56, -11, -4, 1.3?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**5\/40 - 9*a**4\/16 - 5*a**3\/2 - 60*a**2. Factor m(h).\nAnswer: 3*(h - 10)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -100012, -200024, -300048, -400090, -500156, -600252, -700384, -800558?\n\"Answer: -q**3 - 100005*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155 - -87. Let j = -68 - z. Let y be ((-4)\/(-6))\/((-1)\/(-3)). Solve -y*d + d = j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 13*f**3 + f**2 - 9*f + 3. Let l = 29 + -26. Suppose -3*b = -3, 18 = l*g + 3*b + 3. Is h(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -39. Suppose -4*j = -0*j - u. Suppose 42 = 3*i - q, 2*i + j = -3*q + 42. Solve 0*r - y - i = -5*r, -9 = 3*r + 3*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -274*d - 1369. Give k(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:21 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2655646 (base 8) in base 4?\nAnswer: 2311232212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6378*24\/15 + 41\/205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/9 (b) 0 (c) -0.2 (d) 1\/603\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 8:32 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -7.93. Let n = 4.17 + u. Let b = 4 - n. Put b, -2, 1\/3 in descending order.\nAnswer: 1\/3, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-4 - (-23 - (-1 - 15)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 217 in 0, 0.5, 3.6?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1080 and 3645.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 4. Let b = 4 + -9. Let v be s(b). Let r = 1 + v. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 37. Let z(c) = c**3 + c**2 + c. Let p(y) = -8*y**3 - 3*y**2 - 5*y. Calculate f*z(r) + p(r).\nAnswer: -3*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 4*l - 258 = -274, -5*l = -2*y - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/133 in -0.9, 0, -0.3, -7.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 32*o + 306. Calculate the remainder when 50 is divided by c(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 9 = 5*d, -27*y + 4*d = -31*y - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-186)\/9 - (-6)\/9. Let k = 21 + u. What is the highest common factor of k and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/15*(-7 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/2 - 253*u - 504 = 0. What is u?\nAnswer: -504, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 + 1111*q + 8. Let o(f) = 10*f**2 - 3332*f - 28. Give 2*o(g) + 7*w(g).\nAnswer: -g**2 + 1113*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.134, -5, 0.03 in increasing order.\nAnswer: -5, 0, 0.03, 0.134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989745409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2 - 2 - 2*p. Let b(v) = 102*v - 21*v - 120*v. Calculate b(o(d)).\nAnswer: 78*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000037219005 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6583, 6900, 7253, 7660, 8139, 8708, 9385?\nAnswer: 10188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 97*g**2 - 91*g - 416. Let c be v(96). What is the greatest common factor of c and 7584?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2*16)\/(10\/10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 31*l**2 - 1 - 1)*(-1 - 3*l**2 + 2*l**2 - l**2).\nAnswer: 62*l**4 + 27*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-15)*7*(-10)\/(-56)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -44 + 108. Calculate the greatest common divisor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -329865 to the nearest 1000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*q = -6. Suppose v + 29 = 4*l + 2*v, 3*v + 9 = 4*l. Suppose 3 = 7*o - l*o. Solve 0 + o = -q*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12581 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 16?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/2 + 1 + 5. Suppose 3*h + 193 = 6*z - 2*z, -243 = -5*z + w*h. Suppose z*u + 8 = 50*u. What is the highest common divisor of 56 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11913 is divided by 458.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 6:13 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**4\/7 + 68*z**3\/7 - 472*z**2 + 14752*z\/7 - 11520\/7 = 0. Calculate z.\nAnswer: -40, 1, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 14*b - 9. Let q be u(-13). What is the units digit of 21\/2 + 2\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -202 + 208. Solve -6*w + q = 2*k - 4*w, 2*w + 15 = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from {r: 4, x: 1, t: 2, f: 4, q: 2, o: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5721105 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 109 + 103. Suppose -3*u + 16 = -2*q + 117, -91 = 3*u - 4*q. Let g = y - u. Are g and -16 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5 (b) 187\/8 (c) 0.4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -15*r - 5. What is m(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 91 and -698?\nAnswer: -63518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 32\/14)*1\/(-2). Let t(i) = -i**2 + 7*i + 10. Let f(n) = n**2 + n + 8. Let r be f(0). Let y be t(r). What is the third biggest value in z, y, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2164*n**2 - 22*n + 8. Let v(d) = -1443*d**2 - 14*d + 5. Give 8*v(t) - 5*z(t).\nAnswer: -724*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85706362?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*-1*((-5)\/85 + 1909\/(-782)). Solve h*s - 37*s = -102 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/(-19))\/3 - -1. Let c = 29\/76 - v. Let i(l) = -l + 4. Let g be i(4). Is g greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 56 = c. Suppose 5*x + 3*w - 159 = c, 5*w = 4*x - 191. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/12*3\/(-2). Let g be (-4)\/((-2 + t)\/3). Solve -4*u = -5*n + 15, 2*u + g*n = -18 + 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 6*t - 4*g - 46, 0 = g - 5. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145472 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 148 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -20. Let y = -85 - -55. Let t = b - y. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -74*b + 2150. Let r be q(29). Solve -4*y - 5 = -5*x, -r = -3*y - 5*x + 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8558972 to three dps.\nAnswer: -0.856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from ztzzzqsszsqzs?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148962 and 40626.\nAnswer: 446886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 6:53 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 23. Suppose 2574*q = 2560*q + 2660. Suppose -5*f + j*f - q = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*f = -12, f + 26 = 3*d - 4*f. Suppose -46 = d*q - o + 5, -o = 3*q + 79. Let u = q - -139. List the prime factors of u.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**4 - 20*s**3 + 155*s**2 + 230*s - 840 = 0.\nAnswer: -7, -3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 125472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1648307 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*o + 897*o + 10616 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**2 - 2*w**3 - 3*w**2)*(-744 - 3853 + 989)*(-8 + 2 + 0) to the form v*w + q + o*w**3 + z*w**2 and give o.\nAnswer: -43296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 71046*x + 213121. Give n(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 1:48 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/61, 0, 1.6, -0.3 in increasing order.\nAnswer: -1, -0.3, -2\/61, 0, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/2, 2\/5, -3, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - b + 1 + 1 = 0, -6 = -2*a - 3*b. Solve -w = -a*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.11 (b) -3\/19 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*v - 83*v - 1 + 37*v + 20*v to the form r + m*v and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2. Let j(p) be the first derivative of 3*p**2\/2 + 21. What is j(x(b))?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 75348*b**2 - 473110092*b.\nAnswer: -3*b*(b - 12558)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -36. Calculate the highest common divisor of 95 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6053, 12124, 22241, 36404, 54613, 76868, 103169?\n\"Answer: 2023*r**2 + 2*r + 4028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (5 - -4) + -5 - -19.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.138194 to four decimal places.\nAnswer: -0.1382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78.9 + -79. Which is bigger: 8\/9 or n?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/2)*u\/u**3*(u*u**(-2\/7))**(4\/27)*u**3*((u**5*u)\/u)\/u*u*u**1\/u**6 assuming u is positive.\nAnswer: u**(607\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118232559?\nAnswer: 3, 53, 311, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 6:55 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -9*v**4 + 1294*v**3 - 6003*v**2 + 3606*v + 1112 = 0.\nAnswer: -2\/9, 1, 4, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 + 93. Suppose 0 = -d*v + 4*v + 4*m + 12, 15 = -5*m. Suppose -8 = -k - 0*z + z, -4*k + 36 = -5*z. Solve -5 = t + 5*f - v*f, -k*t - 4*f = -12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (3 + -1)) + -116 + 107?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (57\/(-95))\/(2\/(-20)). Let l(j) = 154*j**4 + 17. Let z(t) = -1. Let m(b) = s*z(b) + l(b). What is the first derivative of m(i) wrt i?\nAnswer: 616*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3*1 - (6 + (-16 - -8)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -11. Is i > 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 4*p**2 - 4*p + 6. Let q be y(-5). Let b = -8.529 - -8.5. Let l = b - 3.971. What is the second biggest value in q, l, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 96*u**3 - 69684*u**2 - 34860*u - 17433\/4 = 0.\nAnswer: -1\/4, 5811\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:34 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35590433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -363b842?\nAnswer: 363b846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((27\/(-30))\/9*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/24)\/p*p\/((p*(p**1*p)\/p*p)\/p))**(-4\/5))**(5\/9) assuming p is positive.\nAnswer: p**(47\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046478731 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.25 - 0.25002. What is o rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021112102010 (base 3) to base 10.\nAnswer: 679728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317 (base 10) to base 16.\nAnswer: 13d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1359 = -3*q, 5*q - 2231 = -0*q + 3*o. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jquqxxjjqjqquqx.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8446082553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 151 - 483. Suppose -3*r = -4*n + o, -3*r = 4*n + n - 97. Solve -2*i = -4*w + 6, -5*w = -0*w - 5*i - n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 + 105.01. Let u = n - -0.29. Is u > 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13145328 and 483?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*g**2 + 1\/2*g**3 - 4\/3*g - 2\/3.\nAnswer: (g - 2)*(g + 1)*(3*g + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**6 - 423*h**5 + 3*h**4 + 4*h**2 - 6*h - 118 wrt h?\nAnswer: 120*h**3 - 25380*h**2 + 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -666 - -673. Which is the nearest to -0.1? (a) -5 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 7*h + 2. Let d be k(7). Determine q, given that 1 - 4 + 2 + 2*q**d + 3 - 5*q = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -26*d - 25. Is i(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-19 - (6 - 15)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 10989*a**2 - 10992*a.\nAnswer: 3*a*(a - 1)*(a + 3664)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 65*d - 68*d + 0*d**2 - 5 + d**2. Suppose x = -5*s + 26, -2*x - x = 3*s - 6. Calculate the remainder when 47 is divided by l(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.279*4.\nAnswer: -77.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34113?\nAnswer: 3, 83, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 123153997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112545273 - -0.12?\nAnswer: -1112545272.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(8)*1))**2*3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/12 + (-20 + 44 - 36) + 8 + 2.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 785\/(-6)*7672\/(-60) + (-4)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819 is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -497 times -3.58946?\nAnswer: 1783.96162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a factor of 170333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3560 divide 45733624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84312 + 132145. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*(-8)\/32 - (-6)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**3\/3 - f**2\/2 - f + 2972. Let k(c) = -25*c**3 + 3*c**2 - 3*c - 4. Calculate k(g) - 3*q(g).\nAnswer: -25*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/57)\/(-1*(-25)\/(-15)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3185 and 14560.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606 (base 7) in base 14?\nAnswer: 33d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let c(h) = -h**2 - 1. Let j(y) = 10*y**2 + y + 5. Let g(z) = 5*c(z) + j(z). What is the units digit of g(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 718993495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from rggkgfgfkffjygf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p**4 - 141042*p**3 - 313521*p**2 - 203808*p - 31356 = 0 for p.\nAnswer: -1, -2\/9, 5226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 + 96. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3963*n - 67381. Give p(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + (-9 - -2) - (56 + -68)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d3db + 0?\nAnswer: -d3db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 + 21 = 0. Suppose -2*t - 3*t = b, -3*a = -3*t - 39. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/7 + 225*k\/7 + 66.\nAnswer: -3*(k - 77)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 111*y**6\/40 - y**5\/30 + 31*y**4\/24 + 4*y**2 + 25. What is the third derivative of a(v) wrt v?\nAnswer: 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - -6. Let c be 3 - b\/(-2)*(-1 + 9). Suppose 3*t - c = -4*f + 154, 0 = -t - f + 103. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*u**2 - u**2 - u**2)*(2*u**2 + 4*u - 4*u) + 0*u**2 - u**4 + 0*u**2)*(133*u - 170 + 170).\nAnswer: 399*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1935, 1921, 1895, 1851, 1783, 1685, 1551, 1375?\n\"Answer: -t**3 - 7*t + 1943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - 2*y**2 + y**2 + (-3*y**2 + y**2 + 4*y**2)*(3 - 2 + 0) + (11*y + y - 3*y)*(-3*y - 3*y + y).\nAnswer: -41*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 436744 and 89334.\nAnswer: 3930696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 5863 + 6593. What is the hundreds digit of (-1)\/(6234\/i + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b - 45 - 12 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(5)*1) - sqrt(14))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + 2 + (-34)\/(-8). Let h be (21\/(-12))\/((-1)\/(-8)). Let i be -1 + 1\/(h\/(-10)). Which is the biggest value? (a) q (b) 2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**3 + 0*x**3 - 4*x**3)*((3 + 2 - 8)*(0*x + 2*x + 0*x) + 0*x + 2*x - 4*x) to the form z + o*x**2 + v*x**3 + s*x**4 + b*x and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 164*r**2 + 10*r - 13. Let p(f) = 56*f**2 + 3*f - 3. Calculate 7*p(y) - 2*w(y).\nAnswer: 64*y**2 + y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*g - 4 = 0, y - 7 + 3 = g. Suppose 5*f - 29 = -2*u, -5*u - 19 = 4*f - 66. What is the remainder when u is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95*z**4 + 3569*z**3 + 288*z**2 - 1057*z?\nAnswer: -2280*z + 21414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**7\/168 + w**6\/120 - w**5\/80 - w**4\/48 - 6*w. Determine h, given that k(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197309642 divided by 98654821?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7533507*u**2 - 18103183*u wrt u?\nAnswer: -15067014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-292)\/(-73) + 74\/(-20).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2)\/(m**(-1)*m))\/(m\/((m\/m**1)\/m)*m**3) assuming m is positive.\nAnswer: m**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/10)\/(2\/(-5)*(-763)\/(-218))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 13. Let i(n) = 12962*n**3 - 3*n**2 + 1. Let v be i(z). What is v rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168698400*s**2 + 211236418*s wrt s.\nAnswer: -337396800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*s = k - 235, -16 = 4*s. What is the remainder when k is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -17*s**3 + 57*s**2. Let p(m) = 9*m**3 - 29*m**2. Let j(b) = 11*p(b) + 6*w(b). Find the third derivative of j(q) wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20b - b?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**7*t*t*t\/(t\/t**(-3\/2))*t**(-3)*t*t*t*t**(-1\/6)*t**7\/t**(2\/9)*t**6\/(t**(-7)*t) assuming t is positive.\nAnswer: t**(118\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*w - 157*w - 4713 + 1101 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjsseesjiiiiiejieiq. Give prob of picking 1 j and 1 e.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7854 = -27*o + 30*o. Suppose 5*v - o = -673. Suppose 0 = -6*n + 235 + v. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3275685, -3275689, -3275695, -3275703, -3275713, -3275725?\nAnswer: -3275739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 - 14509*x + 6463322\/3.\nAnswer: (x - 43378)*(x - 149)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d + 1023. Let p(n) = -n**2 - 23*n - 4091. Determine -9*l(k) - 2*p(k).\nAnswer: 2*k**2 + k - 1025","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + i + 3. Let a be k(0). Let r(g) = -9 + a*g - 4*g + 10. Determine r(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (123 + -120)\/((-60)\/(-28) + -2 - 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b69 (base 13) in base 2?\nAnswer: 11110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259360 is divided by 1259359.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323448.\nAnswer: 2, 3, 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-435)\/85 + 2\/17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 + -113. Let t(c) = 3*c + 63. Calculate the smallest common multiple of t(u) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 - -198. Let f be 2*3*(g\/9)\/7. Is f less than or equal to 27\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10529 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 + 2.3. Let v = -1.4 - -0.4. Let s be 5\/7 + 4\/(-14). Sort s, j, v in descending order.\nAnswer: s, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q**3 - 12*q**2 + 9*q + 21. Let b(u) = -2*u**3 - u**2 - 1. Let r(d) = 3*b(d) - x(d). Is r(-5) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-2)*j*j*j**(-3))\/(j**(3\/5)*j\/j**(-2))*(j\/((j\/j**(-2))\/j*j))\/j*j**(-1\/2)*(j\/(j\/j**(-1)))**(-21\/2) assuming j is positive.\nAnswer: j**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -16*s - 1. Let q be b(-1). Let p = 22 - q. What is the highest common factor of p and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 4. Let p be r(-4). Suppose s - 4 = -2*m, 5*m - 3*s - 11 + 1 = p. Solve 0*d - 2*d**3 - d - d**4 + 3*d + d**m = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 9, 2*u + 40455 = j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1349975 to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1310 - -45853\/35. Let f(i) be the first derivative of 1\/21*i**3 - 5 + 0*i + 0*i**2 + r*i**5 - 3\/28*i**4 - 1\/42*i**6. Factor f(v).\nAnswer: -v**2*(v - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -11*q**3\/6 + 145*q. Let p(r) = 3*r. Determine s(p(w)).\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 190*p - 187*p + w, 0 = -5*p + 25*w - 60 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 8*x**2 - x + 70. Let r be z(-6). Solve -r*w = 15*w + 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p**2 - 5*p**2 + 0*p**2 + (3*p - 4*p + 2*p)*(2*p + p - p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*y - 25*y - 22. Is -4 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 3*m**2 + 4*m. Give p(3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000110704 to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0517 and 0.04.\nAnswer: 0.0917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/270*6\/8*-54\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-186)\/(-15) + (-6)\/15. Let n = -7 + r. Let h(q) = -2 + 0 + 5*q - 877*q**2 + 876*q**2 - 4. What is h(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 0.82, -5, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 2*j - 1. Suppose -3*z + 3*u + 83 = 8*u, -8 = 4*u. Suppose 2*d + z = 93. What is the remainder when d is divided by l(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -401, -1612, -3637, -6482, -10153, -14656?\nAnswer: -19997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5\/31 + -89\/217. Let y = -0.8 - 2.2. Let i = 1.4 + -1.8. What is the nearest to 1 in y, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -458 - -918. Suppose -r = 11*a - a. Let v = 65 + a. Solve -3*u - 11 = -2*o, -5*o = -3*u + 4*u - v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.7394 * -6\nAnswer: -58.4364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -192.7 + 428.4. Round c to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-32\/3)*g)*g**(-29)*g)**(-11) assuming g is positive.\nAnswer: g**(572\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 181997 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-102)\/12 + (-4)\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 77.95789 nanometers?\nAnswer: 0.07795789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 95445495 + 0?\nAnswer: 95445495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 928489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 235632 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 307, 287, 239, 151, 11, -193, -473, -841?\n\"Answer: -2*t**3 - 2*t**2 + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*3*(-6)\/36?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 111*q + 1501. Let f be t(-32). Put 4, 18, f, -4, -0.2 in descending order.\nAnswer: 18, 4, -0.2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 561*c*k**3 + c*k**2*p**4 + 66*c*k*p - c*k + k**3*p - k**3 wrt p?\nAnswer: 4*c*k**2*p**3 + 66*c*k + k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -149287.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4922)\/69*-1*(-51)\/(-34)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 470 and 21970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -0*b, 2*b + 12 = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2760677 and 334?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -29. Calculate the smallest common multiple of (-5 + 30\/(-18))\/(6\/(-18)) and p.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*y + 2*y - 108, y = 5*k - 135. Suppose -f - 8*f = -k. Differentiate 2 + 5 - f + 13*z + 2 wrt z.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5068 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 4) in base 5?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 438 - 23978. What are the prime factors of k?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -62. Let c be (u\/2)\/(2\/4). Calculate the least common multiple of (-2 + (-4)\/c)*75\/(-6) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.01. Let m = 12155.8 - 12159.8. Are i and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 109 = -4*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 2 + 0*j + 19*j**2 + 1\/3*j**3 - 1\/24*j**4. Let y(n) = 1 - 4 + 4. What is -2*g(r) + 3*y(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + 20 + 47 + -43.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*c*u**2 - 37*c*u - 77*c + 15 wrt u?\nAnswer: -28*c*u - 37*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 223976457 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 + -9 + (7 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 2*w - 5. Let r(t) = t**2 - 1. Let d(l) = f(l) - 4*r(l). Let i(x) = -9*x**2 + 4*x - 1. What is -5*d(v) + 3*i(v)?\nAnswer: -2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 337 - 336.9. What is the nearest to f in -22, 1\/3, -2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9533 and 8?\nAnswer: 76264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**2 - 11. Let v = 28 - 39. Let d(a) = 16*a**2 - 11*a. Let u(w) = 3*w**2 - 2*w. Let i(o) = v*u(o) + 2*d(o). Give i(f(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/d**(-3\/5)*d))*d**(-2)*d)\/(d*d\/(d*d\/(d*(d\/(d\/d**(-1)))\/d)))**47)**(3\/10) assuming d is positive.\nAnswer: d**(729\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*x - 63*x + 1441 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 3*j**2 + 2*j - 37. Let o be f(-5). Put 5, o, 4, 10 in decreasing order.\nAnswer: 10, 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37777757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/552 and 35\/96.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13825*d = -13829*d + 212564. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -23*k + 25*k - 1586, -4*a - 1582 = -2*k. What are the prime factors of k?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 3*g - 1. Let n(x) = -20*x**3 + 3*x**2 - 11*x - 4. Calculate n(r) - 4*v(r).\nAnswer: -24*r**3 + 3*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, -1, 58 in increasing order.\nAnswer: -67, -1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(833) + 1)**2 - (sqrt(833) - (-5 + sqrt(833)*1))**2 - (sqrt(612) + -3 - (sqrt(17) + -4*sqrt(17))*-3)**2) + 5.\nAnswer: -60*sqrt(17) + 660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321214 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Suppose i + 2*s - 5 - 1 = 0, p*s - 6 = -4*i. Let u be (2\/16)\/((-2)\/(-12)). Is u greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.123 and 51?\nAnswer: -6.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 496 = -604. Suppose -18*m = -23*m + y. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2 - 602124*u + 95185520 = 0.\nAnswer: -301220, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*h = -621*h + 920 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -109, -2023, -15\/4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 + 6. Let r(z) = -1. Let f(a) = 6*r(a) + t(a). Let x(c) be the first derivative of 3*c**2\/2 - 1. What is f(x(d))?\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25557 + -1863. Let p = 3094 - s. What is p rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3, -12.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -137*q + 5. Let m(a) = 135*a - 4. Determine -3*i(w) - 4*m(w).\nAnswer: -129*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**2. Let u be t(1). What are the prime factors of (3\/9)\/(u\/(-252))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - d. Let s be (-15)\/6*-2 + -4. Let o(w) = 29*w**3 + 5*w**2 + 5*w - 24. Let r(u) = s*o(u) + 5*l(u). What is the derivative of r(k) wrt k?\nAnswer: 87*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7460 - -7706. Solve -27*b + 84 = p for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89275146 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1023124 and 276427.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.5 (b) 4 (c) -0.3 (d) 2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 - 121*u**2 - 993*u + 1125. Give m(-28).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*j - 262*j = -108*j - 708 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2160 by 720.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -247*m**3 + 8*m**2 - 4*m + 310. Let k(f) = -247*f**3 + 10*f**2 - 5*f + 309. Let u(v) = -4*k(v) + 5*l(v). Find the first derivative of u(j) wrt j.\nAnswer: -741*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-2)\/(-24)*20. Let -1\/3*d**2 + q*d + 2\/3 = 0. Calculate d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1084379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 14*k + 28. Suppose 12 = 10*i - 9*i. Let t be u(i). Let p = 21 - 20. What is the greatest common divisor of t and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 2 + 2 + (0*f + 0*f + f)*(-5 + 4 + 0) - 10508 + 4*f + 10508 as d + n*f and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 946 - 338 = 16*v. What is the highest common factor of v and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggnmnghhrrgh. Give prob of sequence ggnh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u. Let a(r) = 98*r**2 - 13621. What is w(a(o))?\nAnswer: -294*o**2 + 40863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + -63. Sort 8, 0.4, -2\/13, n in decreasing order.\nAnswer: 8, 0.4, -2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 9 - (1 + 2) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/4 - 5\/10. Let h(o) = 2*o**2 - o + 6. Let q be h(6). Calculate the highest common factor of q and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(114) + sqrt(114) + sqrt(114) + sqrt(114)*2)*3)\/(sqrt(168)\/sqrt(7) - 5*sqrt(12)\/sqrt(2)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhummuhmummm. Give prob of picking 3 u and 1 m.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srs when three letters picked without replacement from ssrnqsdsnddsnks.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**(-1\/3)*p*p)\/p)*p*p\/p**1*p*p*p)**4*(p*p**(1\/3)\/p)**17*(p**(1\/3))**1 assuming p is positive.\nAnswer: p**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 - 260*k + 409. Give j(-85).\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 805\/(-560) - (-9)\/48. Which is the fifth smallest value? (a) i (b) 5 (c) -2\/5 (d) -286 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 2*m**3 - m**3 + 3*m**3 - 3*m**3 - 6*m**3 + (-1 + 1 + 2*m)*(2*m**2 - 3*m**2 + 0*m**2) - 39*m**3 - 22*m - 25*m + 46*m.\nAnswer: -48*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwq when four letters picked without replacement from qqqwwwqqqq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 756?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 6*r**2 - r + 4. Let a be w(6). Let l be 3\/(-12) + a\/(-8). Which is smaller: -1\/3 or l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-2 - -1) + 3603 + -3598.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/8 - 14\/(-4). Let g be (-1)\/(6\/(-34)) + 16\/12. Let p(z) = z**2 - 3*z - 32. Let t be p(g). Sort t, 5, v in increasing order.\nAnswer: t, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -410 + 413. Suppose -2*v - 1281 = -o*z + 3*v, -5*v - 2125 = -5*z. What are the prime factors of z?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 17*m**2 - 5*m - 7. Let z(q) = 10*q + 83. Let u be z(-8). What is the hundreds digit of j(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2\/5 - 184908*g\/5 + 851000 = 0. Calculate g.\nAnswer: -46250, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4a462 (base 12) to base 2\nAnswer: 11000101000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + 1 + (4 - 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 5. Let m(l) be the first derivative of l**3\/3 - 3*l**2\/2 - 146. Suppose 1 = u + 2*t, -3*u = -0*u + 5*t - 3. Let a(k) = k**2. Give u*m(v) + y*a(v).\nAnswer: 2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*r - 95 = 0, 2*r = -2*h + 29 + 17. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*t + 28 = -8*g, 32 = -3*g + 5*t. Let w(v) = -16002*v - 8. Let s be w(g). Round s to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 433 + 363. Suppose 1 + 1 = d + 2*f, -5 = -5*d - 5*f. Put 2, d, q in descending order.\nAnswer: q, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -42 - (5236 + -5346)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3680837.\nAnswer: 3680837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674?\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 - 167. Let l = k + 23. Solve l*t + t = 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6403*s + 3. Let f(t) = t. What is f(b(g))?\nAnswer: 6403*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72.8, -7.1, -1 in decreasing order.\nAnswer: -1, -7.1, -72.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71166.\nAnswer: 2, 3, 29, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 523310?\nAnswer: -523304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8423 - 27.1127. Round c to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -39870\/10603?\nAnswer: -39870\/10603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1. Let x(z) = -6 + z - 1 + 6 + 7. Let t(h) = l(h) + x(h). Calculate t(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -276713*u**2*z**4 - 6*u**2 - 2*u*z**4 + 14271*u + 6 wrt z?\nAnswer: -1106852*u**2*z**3 - 8*u*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/6)\/((-40)\/(-60)). Suppose -10*g + 12 = -i*g. Let j be (-9)\/6*(-6 + g). Solve 0 = -4*o + 10 + j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -321 - -792. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8221 is divided by 397?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14926079\/33 or 452306?\nAnswer: 452306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -405\nAnswer: -1\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**6\/24 - m**5\/60 + 7*m**2. What is the third derivative of g(d) wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 3*c - 218, 2520*c + 4*v = 2538*c - 1360 for c.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 - 5.08. Let k = 538 - 542. What is the closest to m in -2, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 21. Let f(b) = -13*b**2 - 5*b + 4. Let u(o) = 13*o**2 + 4*o - 5. Let w(k) = n*u(k) - 5*f(k). What is the second derivative of w(h) wrt h?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**5 - 40*h**4 + 6508*h**3 - 107312*h**2 + 455232*h + 569088 = 0. What is h?\nAnswer: -52, -1, 12, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44031*t**4 + 109034*t?\nAnswer: -528372*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*p, -x + 4 = 4*p + 10. Suppose -l = 2*a + 1, -x*a - 4 = l - a. Solve -2*w + 9 = 3*r + l, -3*w - 7 = -5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30804 + 48621. Calculate the remainder when n is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81) - sqrt(81)*-2)\/sqrt(3).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(102) - sqrt(102))*5)\/(sqrt(30)\/(sqrt(5)*-2*5)).\nAnswer: 500*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*d - 11. Suppose -1006 = -7*h - 376. Let f be ((-2)\/8)\/((-39)\/h*-5). Is f less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1260 by -576.\nAnswer: -35\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.15 and -0.175.\nAnswer: 0.20125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38852, 36211, 31808, 25643?\nAnswer: 17716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -35, 5, -5 in increasing order.\nAnswer: -35, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-2)*(-160)\/(-28). Suppose 0 = -o + 6*o - f - w, 4*o + 2*f = 2. Let k be (o - -3)*(1 - -13). What is the greatest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**4\/2 + 6*l**3 - l**2\/2 - 8*l - 2. Let u be o(-9). What are the prime factors of (52 - 3) + (u - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1302 + 635. Let c = 667.00351 + x. What is c rounded to four dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**4 + 5*g**3\/3 - 33*g - 15. Differentiate y(v) wrt v.\nAnswer: 12*v**2 + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3\/5 - 12*v**2\/5 - 224*v\/5 = 0. What is v?\nAnswer: -8, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 6 (b) -1 (c) -21 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -35*u**2. Let j(s) = 2*s - 38. What is b(j(x))?\nAnswer: -140*x**2 + 5320*x - 50540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72840*v + 4*v**2 - 35*v**2 - 72840*v.\nAnswer: -31*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1674\/1116)\/((-18)\/330).\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 9:02 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10480420 by 9.\nAnswer: -10480420\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 84*v**2 + 3*v + 2. Is u(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6074032 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15941590.\nAnswer: 2, 5, 7, 29, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1059*l - 174413. Determine d(-165).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 1 - (8424\/(-66))\/(-13)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -536 (base 16) to base 2\nAnswer: -10100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 11*z + 22. Let w be f(-9). Solve -2*p - 12 = -0*p + 4*h, w*p + 8 = -4*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4 - 100 = 0. Suppose 3*d + 3*a = l, -4*d = -3*d - 5*a + 16. Let v(c) = -2*c. Calculate v(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -7506068?\nAnswer: -1\/3753034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5*m\/(m\/(m*(m**(-10)\/m)\/m)))\/(m**(-2))**(-8) assuming m is positive.\nAnswer: m**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/168 and -1\/2058.\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 <= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-30))\/(-9)*-6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (616\/224)\/((-385)\/(-40)) - (-192)\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193270714 to the nearest integer?\nAnswer: 13902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189392629.\nAnswer: 23, 51712723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**8\/4200 - r**7\/2100 + r**6\/900 + r**5\/300 + 6*r**3 + 9. Let g(o) be the third derivative of u(o). Factor g(h).\nAnswer: -2*h*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 19 - 5. Let t(j) = -6 + 6 + p*j + 4*j. Let o(q) = -2*q**2. Give o(t(w)).\nAnswer: -242*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 34 - 2. Let z(h) = -h**3 - 5. Let d be z(3). Let w = d - -72. Calculate the highest common divisor of w and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:10 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2272 + 0.8818. Let c = p + 0.181. What is c rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 1586022*n**2 - 1558686*n**2 + n + (2*n**2 + 0 + 0)*(-4 + 0 + 2) as r*n**2 + t + w*n and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -119222.6868 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 2613?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5))**(2\/133)*(i\/i**(16\/5))\/(i\/i**(2\/81)) assuming i is positive.\nAnswer: i**(-170714\/53865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n = -31*n - 3*c - 878, -3*c - 3485 = 4*n. Put -3, n, 0 in decreasing order.\nAnswer: 0, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 24. Let h be t(14). Suppose -r + c - h = -4*r, -26 = -3*r - 5*c. Solve 2*o = 4*o + r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*t + 6, -3*z = -0*z + 4*t + 18. Let r = -2 - z. Suppose 0 = 4*c + 5*b - 368, 0*c + 2*b + 368 = r*c. Is c a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 61*q - 43. Determine j(-2).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 0, 18, 46?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905424 is divided by 333?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7680, -30229, -67810, -120423, -188068?\n\"Answer: -7516*q**2 - q - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(-8)\/((-304)\/(-57)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2203521 minutes to microseconds.\nAnswer: 13221126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, and 1 g when three letters picked without replacement from sgus.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27527 * -5\nAnswer: 137635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 4*x + 24, 748*x - 8 = 749*x + z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 3*v**2 - 1. List the prime factors of r(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 173487*k - 1040814.\nAnswer: -3*(k - 57823)*(k - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 103239*b - 722729. Calculate r(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 3:55 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from frfgffgrvm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -12, -2 in decreasing order.\nAnswer: -2, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1164 and 4404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6792.804 years?\nAnswer: 67.92804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -243.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163 is divided by 54?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 + 0?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 528619\nAnswer: -264309.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245349, 245350, 245351, 245352, 245353, 245354?\nAnswer: 245355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 times 1534?\nAnswer: -406510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-34)*(-2)\/36*-15.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4044)\/17187)\/(4\/(-238))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 2*r + 5. Let b(s) = s**2 - s - 1. Suppose 18*v - 16*v - 2 = 0. Let x(n) = v*b(n) + p(n). Suppose x(y) = 0. Calculate y.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(210\/294)*-5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/(-15) - (-5 - 31)\/(-6). Let h = -36\/5 - s. Find q, given that 6\/5*q**3 + 1\/5*q + 0 + h*q**5 + 4\/5*q**2 + 4\/5*q**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + 0 + 5)*-4 - 3*sqrt(68)*2*5)*1)**2.\nAnswer: 2720*sqrt(17) + 79008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q + 66*q = 96. Put -6, q, -1\/5 in descending order.\nAnswer: q, -1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 517616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20449873, -20449871, -20449869, -20449867?\n\"Answer: 2*w - 20449875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 21993\nAnswer: -109965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-12)\/8)*10. Let k be 0\/(-2)*10\/v. Suppose -4*c - 16 = 5*j, k = 4*j + c + c + 8. Round j to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, p: 1, d: 3}. Give prob of picking 1 o and 1 d.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**2 - 3*h**2 + 16*h**2)*(-4 - 2 + 4)*(-3*h + 3*h + 3*h) as o + f*h + c*h**3 + s*h**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*r = -269*r - 217. What is the remainder when 61 is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25254950.\nAnswer: 2, 5, 7, 59, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-6)\/14 - (-6069)\/49*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = 240 + 24. Calculate the remainder when 22 is divided by (-1)\/(-2) - (132\/u - 10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -163*m**4\/8 + 6*m**2 - m. Let q(h) = 2*h**2. Give k(q(f)).\nAnswer: -978*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(9\/(-6) + 2). Suppose n*r + 38 - 108 = 0. Suppose -2*u = v - 4*v + 25, 0 = 3*v - 4*u - r. Solve 0 = -3*t - 17 + v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21668, 22011, 22380, 22775, 23196, 23643?\nAnswer: 24116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, u: 1, y: 2, e: 1, s: 6, f: 3}. What is prob of sequence fu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618678.\nAnswer: 2, 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 15. Let o = j - -31. Calculate the remainder when 56 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-2 - -6) - (-5 - -6). Let w(o) be the third derivative of o**6\/120 + o**5\/12 - o**3\/6 - o**2. Let m be w(-5). Sort a, 0, m.\nAnswer: a, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16986535?\nAnswer: 5, 23, 147709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -47 (b) -1\/70 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265 = -d + o + 260, o = -4*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*n = -8*n + 10 - 29, 0 = -5*w - n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 5*s = -104. Calculate the lowest common multiple of 1 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 + -0.1499987. What is v rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 5*w + 1. Let i be u(-5). Let t = -8.06 - -8. Let n = t + -0.24. Which is the second biggest value? (a) i (b) 0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*w = 92*w + 72*w + 1836. Let c(r) = -9*r - 91. Calculate c(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 0 - 1\/6*v**3 + 17*v**2 + 0*v. Let p(h) = h - 1. What is -3*l(k) + 2*p(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 + 0.43. Round y to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*b, t - 3*b - 25 = -9. Let d(g) be the second derivative of 1\/6*g**t + 0 - 1\/3*g**3 + 2*g - 1\/20*g**5 - g**2. What is d(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12856, -12289, -11722, -11155?\nAnswer: -10588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 368137168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1439930275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -314 or -39366\/125?\nAnswer: -314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**4\/24 - 53*l**3\/18 - 56*l**2\/3 - 38*l - 1559. Solve c(s) = 0 for s.\nAnswer: -2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-1 + 7 - 3) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432517 is divided by 451.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/((-21)\/4) + 1\/(-3). Suppose -5*k = -z + 162, -z = -5*k - 6*z - 150. Calculate the common denominator of 67\/28 and ((-86)\/k - -2) + w.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*y + 50, 5*y - 5*h + 0*h = 130. Let v = y + -10. What is the lowest common multiple of v and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**5\/20 + n**3\/3 + 10*n. What is the second derivative of i(h) wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/14*14*(-9)\/(-72).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 2 + (4 - (12 - 1) - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-33)\/(-220))\/((-6)\/35) and 9\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*d - 73*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -8. Let z = -8 - h. Which is the second biggest value? (a) 0.4 (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 15*n**2 + 22*n + 46. Calculate i(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (sqrt(396)*1 + 4))**2 - sqrt(396)) + 2*(1 + sqrt(396)).\nAnswer: 18 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -580716 - -18584671\/32. Let a = p - 219\/4. Calculate the common denominator of a and 91\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.231 + 0.169. Let a = 0.25 + 0.05. Let n = a - 0.2. Is n less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 607, 604, 601, 598, 595, 592?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2127 (base 14) to base 5.\nAnswer: 140334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s\/((s*s*s**17\/s)\/s*s)))\/s**(-5) assuming s is positive.\nAnswer: s**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 20. Which is the biggest value? (a) -0.1 (b) 1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**4\/12 - 7*d**3\/6 - 3*d**2 + 6*d. Let o be u(-6). Solve 2*x - 5*x = o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**4\/12 + h**3\/2 - 5*h**2\/2 + 40*h. Determine d(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 147060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*l + 5 = 0, -14*l + 32 = 4*u - 10*l. Sort -7, 12, u, 4.\nAnswer: -7, 4, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6807*q - 5193734. Calculate a(763).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(1\/3)\/(2\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19865, 158751, 535705, 1269761, 2479953?\n\"Answer: 19839*q**3 + 13*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003167034143 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3471653.\nAnswer: 3471653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(13) + -1)*2)**2 - 6*(-1 + sqrt(208) + sqrt(13))) + (sqrt(1053) + sqrt(1053)*-1 + 3)**2*5 + 4.\nAnswer: -102*sqrt(13) + 559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 21\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-130)\/(-250)*5)\/((-1)\/(-5)). Let y be r*-5*(-16)\/20. Calculate the greatest common factor of y and 676.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 165 + -123. What is the units digit of (-4 - (2 - 5)) + n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 71?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + x + 20 = 0, -54 = -4*v + 5*x - 38. Let i(j) = -82*j**3 - 7*j + 7. Let p(o) = -41*o**3 - 3*o + 3. What is v*i(l) + 14*p(l)?\nAnswer: -82*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 5*w**2 - 3*w - 2. Let p be t(4). Suppose 7*d = p*d + 25. Suppose -d*u = -u - 16. Which is bigger: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 13, g: 6}. Give prob of picking 2 g and 1 j.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1331255 + -11201?\nAnswer: 1320054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.6679 hours to seconds.\nAnswer: 207604.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 17*i**3 - 7*i**2 + 4*i + 18. What is u(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 46. Suppose -m = -2*i - 0*i. Solve 2*t - f + 12 = 5*t, 4*f - i = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 309\/3044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -36, 1, 3\/20, -0.1689?\nAnswer: -0.1689","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1\/5, -8, -2\/353, -19?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3 - 11\/(-3). Let v(r) = r - 1. Suppose 3*y - 63 = -54. Let c(b) = 12*b - 7*b - b - 2 - y*b. Give i*v(f) - 2*c(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2030 or 2033?\nAnswer: 2030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/12*(-708)\/(-6785)*46?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60.27 + -0.73. Let b = -93 - z. Let k = b - -31. Is k smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**4\/4 + 2*k**3 + 2*k - 334. Let b = -184 + 187. Calculate y(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k - 2. Let u(m) = 5*m**2. Give p(u(f)).\nAnswer: -20*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*p = 11, 5 = 69*p - 68*p. Let 4\/7*x**k - 4\/7 + 4\/7*x**3 - 4\/7*x = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/8*(-24)\/40. Suppose -3*z - 4 + 13 = 0. Suppose -i - 5*v = 27, 5*i - z*v + 15 = -4*v. Which is bigger: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 233 - 25. Let n = i + 585. Suppose -3*o = -830 - n. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -17.12. What is the biggest value in z, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 999 = i, -16*p + 13*p + 4*i + 579 = 0. Which is bigger: 202 or p?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {l: 6, b: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177\/52 - 28\/13. Let w be 2\/13592*(-730970)\/(-25). Let q = w - 4\/1699. Calculate the common denominator of q and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-189))\/(6\/42).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.09 and 1533?\nAnswer: 1532.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 2:02 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2. Let t be 2\/(-6)*(-90)\/6. Let y be (-2)\/3*-1*3. Let z(i) = -9*i**2. Let p(g) = t*l(g) + y*z(g). Let r(o) = -o. Calculate p(r(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 4. Suppose 2*j = 2*m - 4*m - 10, j - 4*m - 5 = 0. Let f be a(j). Let g = 0 + 0. Which is bigger: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 - (6 + -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1815)*-2*-1 + sqrt(1815) - sqrt(1815)))\/(sqrt(15)\/sqrt(5)*5 + sqrt(3) + sqrt(24)\/sqrt(128)).\nAnswer: -264*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4\/8 - 3*b**3\/2 + 3*b**2\/8 + 3*b\/2.\nAnswer: -3*b*(b - 1)*(b + 1)*(b + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1510082204?\nAnswer: 2, 23, 163, 100699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/(-48) - (-9946760)\/30 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123311130202 (base 4) to base 16.\nAnswer: 6f5722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/180 + 11*u**4\/72 + 2*u**3\/3 + 61*u**2. Suppose j(v) = 0. What is v?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 657, 1255, 2367, 3993, 6133?\n\"Answer: 257*w**2 - 173*w + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7511 and 1110?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9940266mm to meters.\nAnswer: 0.0009940266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 57\/5 of a millimeter?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -12015072*c. Let a(h) = -2*h**2. Give r(a(s)).\nAnswer: 24030144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 725.7963 micrograms in milligrams?\nAnswer: 0.7257963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15 + -16 + (-1 - 11). Let r(a) be the first derivative of a**2 + 30*a - 1. Calculate the lowest common multiple of 9 and r(c).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - w - 2307*w**2 - 22.\nAnswer: -2307*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s - 38*s = -825. What are the prime factors of s?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 4*z - 1. Let a be (-2 + 5)\/((-6)\/(-10)). Let u be g(a). Let m(w) = -w + 6. Let r(n) = 3*n - 19. Let b(l) = -7*m(l) - 2*r(l). Give b(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3 + 9882*f**2 + 12300078*f + 230147798 = 0.\nAnswer: -2461, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 38 + 14*i**2 - 33*i**2 + 18*i**2 + 3*i. Let x be r(7). Suppose -8*c = -x*c + 560. Round c to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 4:59 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -267, 150, -0.2 in increasing order.\nAnswer: -267, -0.5, -0.2, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-70)\/(-30))\/((-4515)\/258))\/((-2)\/(-111))?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t + 107 = -3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 20645730\nAnswer: 1\/4129146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a**3 - 11*a**2 + 5. Let t be v(6). Let i = t + 3594. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + x. Let l(u) = -20*u**2 - 6*u. Let q(a) = -l(a) - 6*v(a). Suppose -10*o + 11*o - 5 = 0. Let t(b) = 2 - o + b + 3. Determine q(t(f)).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.30221461 to two dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001178871222 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 10:58 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(10\/7)*(p*((p**(2\/7)\/p)\/p)\/p)\/p*p)\/(p*(p\/(p\/(p*p**(-1\/2)*p))*p)\/p*p**(-5\/7)) assuming p is positive.\nAnswer: p**(-29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -239 - -237. What is the biggest value in -3, -23, -2\/5, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959.337t in micrograms?\nAnswer: 1959337000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/10 and -33\/455.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -175*a**4\/4 - 65*a - 31. Let r(k) = -8*k**3 - 3. Let c be (-140)\/(2\/2) + 10. What is c*r(x) + 6*v(x)?\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**5\/330 - 5*k**4\/66 + 14*k**2 - k + 7. Let p(w) be the first derivative of r(w). Solve p(v) = 0 for v.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*u**2 + 16*u**2 - 7*u**2 + (-3*u + 3*u - 2*u)*(2*u - 6*u + 3*u) - 3*u + 2*u**2 + 3*u - 2*u**2 + 0*u**2 - u**2 - 2*u**2 + 3*u**2 - 3*u**2.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - 3*j**2 + 0*j**2 + (-3*j - 2*j + 3*j)*(4 - 4 - 2*j) + 5*j**2 - 3*j**2 + 2*j**2 + (-3*j + 2*j + 2*j)*(-2*j - 19 + 19).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.3, 4, 3 in ascending order.\nAnswer: 3, 3.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/9674 and 36\/32477?\nAnswer: 454678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*p**3 - 9656*p**2 - 6438726 wrt p?\nAnswer: 39*p**2 - 19312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**2 - 12. Suppose -30 = 3*o - 0*o - 5*b, 0 = 2*o - b + 13. Is l(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5905, 10547, 15179, 19795, 24389, 28955?\nAnswer: 33487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46842 and 13986?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-4 - (-1 - 2)) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -13*x - 2. Suppose l - v + 5*v = -9, 0 = -x*v - 10. Let f = l + -14. What is the second biggest value in -0.1, 4, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.3 - -3. Let r be (153\/(-50439))\/(6\/(-4)). Let l = r + -995\/2967. Which is the closest to 0? (a) -5 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -1)\/(-3) - 1. Let y = -1.81 + -0.19. What is the second smallest value in y, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, 0.059, 21\/8, -1.5, 0 in descending order.\nAnswer: 21\/8, 0.1, 0.059, 0, -1.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1211?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 411796796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*d**3 - d - 9*d - 15*d - 2*d**2 + 93 + d**2.\nAnswer: 137*d**3 - d**2 - 25*d + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/53856*72)\/(-1).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 115*v**4 - 5530*v**3 + 59015*v**2 + 59080*v - 5580 = 0.\nAnswer: -1, 2\/23, 18, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-207)\/90 - (-12)\/15. What is the closest to 2 in i, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4 - 9*z**3 - 26*z**2 + 36*z + 72 = 0.\nAnswer: -2, -3\/2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 484 and 8019033?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i = 17*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, -1, -51, 0, -2 in ascending order.\nAnswer: -51, -2, -1, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2)\/(a*a**4)*(a\/a**(4\/3))\/a**(-2\/25) assuming a is positive.\nAnswer: a**(-544\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2889 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 7 - 4*m + 1\/3*m**3 - 3\/2*m**2. Determine a(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6\/5, -3\/5, 5, -2, -53 in decreasing order.\nAnswer: 5, 6\/5, -3\/5, -1, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/5 - 2308*n**3\/5 - 113088*n**2\/5 + 369762048*n\/5.\nAnswer: -2*n*(n - 334)*(n + 744)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -3*u**4\/4 - u**3\/3 + u**2\/2 + 2*u + 1. Suppose 14 = j - 8*j. Is 6 a factor of m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(121)*-3)\/sqrt(11))**2 - (sqrt(99)*-4 + 1*sqrt(11) + -4)**2) + -3.\nAnswer: -1246 - 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 22. Let f = s + -29. Which is the second smallest value? (a) -6 (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -640 - -648. Solve -o = -2*m + j, -o = -m - 2*o + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 30*x - 25*x. Sort 3, 1, -2, x in decreasing order.\nAnswer: 3, 1, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715530608?\nAnswer: 2, 13, 3440051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p + 39 = 4*g, -g - 19 = -5*p. Let b be (-840)\/490 + (-4)\/14. Calculate the least common multiple of g and (b + -3 + -20)\/((-2)\/4).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -653\/3 - -8495\/39. Which is the fourth smallest value? (a) w (b) -0.2 (c) 4 (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 2 + 0)*(4*v**2 - 5*v**2 + 0*v**2) in the form z*v**2 + w + s*v and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 3*d**3\/2 - 5*d. List the prime factors of i(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxe when three letters picked without replacement from xdpeppxyydddyfx.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 477610793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2. Let a = 6 + -3. Let y be 2*a - (2 - 1). Let v(c) = -3*c**2 - c. Calculate y*l(m) - 2*v(m).\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4595897?\nAnswer: 4595897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 245634156 to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 208 = -4*x, x + 9 = -8*r + 3. Solve -87 = 29*m + x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 0 - 5)*(-d - 3*d + d) - 2*d + 2 + 7*d - d + 0*d - 4*d + 2*d.\nAnswer: -10*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*s + 1600 - 5868 = 0 for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264.02 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66640545 is divided by 105611.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2505\/328 - -102\/41. Find the common denominator of (1\/(-3))\/(2\/(-225)) and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -2*y - n + 97, -2*y + 70 = 2*n. Suppose -19*i + y*i - 1692 = 0. What is the remainder when i is divided by 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(99))\/sqrt(9) + ((sqrt(55)\/((sqrt(5) - sqrt(25)\/sqrt(5)) + sqrt(5) + sqrt(5)) - sqrt(11))**2 - sqrt(11)))*-2.\nAnswer: -11\/2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 11*q**2 - 12*q + 8. Let i be k(12). Suppose -3*c = 2*c + 20. Let x = i + c. Solve 0 = x*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.39 and -0.4.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 9*p**2 + 10*p + 5 - 3*p + 4*p + p**3. Let h = -20 - -13. What is the units digit of z(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b + 27*b = -15, -19*b - 19 = -2*z - 16*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103\/70 + 15\/14. Let o = -23.503 + -0.597. Let s = o + 18.1. What is the biggest value in -0.2, -1\/3, g, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164050 and 23454325.\nAnswer: 4825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 705020, 2, 3 in increasing order.\nAnswer: 2, 3, 705020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 725 and 23365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + l + 6*l + (-1 - 1 + 1)*(0*l + l - 3*l) + (-3*l + l + l + 0*l - 3*l - l + (-3 + 3 + 2)*(-2*l + 1 - 1) + 4*l - 3 + 3)*(4 - 3 + 0).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhin when four letters picked without replacement from {i: 3, f: 4, h: 5, n: 4, e: 1, p: 1}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10.5, -1\/3, -3, -1\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 17*h**2 - h + 2 - 5*h**2 + 29*h**2 as i*h**2 + x*h + l and give i.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 319918367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9167391 is divided by 208.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*a**4 - 1656*a**3*l + a**2*l + 173480*a - l wrt a?\nAnswer: 1080*a**2 - 9936*a*l + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 21258.5 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40)\/(-12) + (-29)\/87. Let c = 2 + -4. Let v be (-3 + 1)*-1 - c. Solve v*k - 2*p = 4, p - 2 = -2*k - z*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 399.956 centimeters?\nAnswer: 0.00399956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (37 - 3) + (36 - 53).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*g + 5*g - 3*h, -4*h + 25 = -5*g. Let o be -1 - g\/((-15)\/(-24)). Suppose 3*y = o*y. Which is smaller: 4\/9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y. Let x be d(0). Let f = 3.97862 - -0.02138. What is the closest to 0.03 in f, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -683*x - 19806. Calculate a(-29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, 16, 62, 140, 256, 416, 626, 892?\n\"Answer: l**3 + 7*l**2 - 8*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -40. Suppose 0 = 3*p - 2*p. Suppose w*i - i - 20 = p. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33.5 in -6, 0.6, 1\/4, -3, -0.4, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -602695*w + 3013482. Determine p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 11*r**2 + 9*r + 13. Let j be h(10). Suppose 11 - j = 2*v. Let k be 2*1\/4*10. Sort k, 2, v in decreasing order.\nAnswer: k, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 108*d**3 - 2*d**2 - 5*d - 4. Calculate q(-1).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 2, -5, 1\/142 in increasing order.\nAnswer: -5, -3\/4, 1\/142, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 78. Solve -2*x = -2*d, -5*x - 12 = -j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3451 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + 0. Calculate the remainder when r is divided by 12\/48 + 86\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07204 minus 156?\nAnswer: -155.92796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8379, 16761, 25121, 33447, 41727?\nAnswer: 49949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*u - 2022243816 + 2022243816.\nAnswer: 84*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -117 (base 8) to base 5\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 737977.4 kilometers to meters.\nAnswer: 737977400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 - -11003012?\nAnswer: 11003010.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.88165t to nanograms.\nAnswer: 12881650000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6320000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, i: 7, s: 4}. Give prob of picking 4 f.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 5)\/(4\/(-6)). Let n = o + 9. Suppose -n*u + 18 = -15. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -939 divided by 313\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 9. Suppose d + 3*y = -y + 10, y = -5*d + 50. Is p(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 666600\/10098 - 66 - ((-8)\/2 - (-238)\/63)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1311 - -10?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v + 4. Let f(i) = 4*i - 5. Let c(t) = -2*f(t) - 3*r(t). Let o be c(5). Solve -4 = 3*x + o*a - 2*a, a = -x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - j + j + (-6*j + 0*j - 2*j)*(0*j**3 + 5*j**3 - 3*j**3 + (-j**2 - 2*j**2 + j**2)*(j + 0*j + j) + 4*j**3 - 3 + 3).\nAnswer: -15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.875 rounded to 2 decimal places?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.84 - -38.16. Let m = -17 + c. Let y = -22.0076 + m. What is y rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.167 * 45\nAnswer: -7.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 26 = 4*j - a, -3*j + 2*a + 19 = 0. Suppose 5269 = j*b - 5731. What is b rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 2. Let v be j(3). Suppose 4*k - 6 - 18 = 0. Suppose k*p - 8 = 2*p. Put 9, p, v in increasing order.\nAnswer: v, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 4 in ascending order.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 4:32 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 3*o**2 - 24*o**2 - o**2. Let x(f) = -3*f. Determine x(w(y)).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*b**5 + 22778971*b**3 - 1025238451*b?\nAnswer: -260*b**3 + 136673826*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 236735*i - 236734*i = 19, -2*f + 4*i = 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 - 1)*(0 + 2 + 0) - 2 + 4 + 3 + (3 + 0 - 6)*(-3 - 3 + 7))*(-7 + 2 + 3)*(-2*m + 3*m + m).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:10 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-24)*(2 - -1). Is m - (-12 - (-4 + 7)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3001 (base 7) in base 12?\nAnswer: 71a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 7298?\nAnswer: 7298.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 8:38 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56923597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -216. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/11 and -1 + 0 + -1 - 2419\/246?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 302 + 1945*w**2 - 82 - 1980*w**2 wrt w?\nAnswer: -70*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, -4\/221, -648, -0.5, -2\/7?\nAnswer: -4\/221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 20766.98nm?\nAnswer: 0.00002076698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r + 121. Suppose 5*p - 363 = -l - 2*l, -l + r = 5*p. What is the remainder when l is divided by 47?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14983, -59260, -132823, -235678, -367831, -529288, -720055, -940138?\nAnswer: -1189543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753174.7 hours to minutes.\nAnswer: 45190482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34749278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -20.934. Let o = -0.06653 + l. Round o to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5506752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/248771 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43716?\nAnswer: 2, 3, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.35*0.042504.\nAnswer: 0.0148764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13943\/131147 - -40\/313. Let s = j - 30713\/5866. Calculate the common denominator of s and ((-15)\/(-10))\/(24\/(-46)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i**2 - 8*i**2 - 9*i**2. Let g(c) = 3*c**2. What is m(g(d))?\nAnswer: -90*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2068 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**(3\/28)*(m*m**3*m)\/(m*m**(2\/3)) assuming m is positive.\nAnswer: m**(143\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81321358561*p**5\/3 - 4310030292719*p**4\/3 + 8376009248050*p**3\/3 - 1382404350882*p**2 - 29086929*p - 153 = 0. What is p?\nAnswer: -3\/285169, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11995 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -566 - -34?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7 (b) 1392 (c) -3 (d) -1 (e) 2 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = 3*p - 6*p - 2*y, -323 = 4*p + 5*y. Let s = p - -143. Suppose 5*x + s = 7*x. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 36303*t**2 - 36305*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = -2. Let s = 37\/6 - p. Let j = -1\/2 + s. What is the biggest value in -4, -1\/5, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 1336*w**3 + 82*w**3 + 118*w**3 + 3*w - 157*w**3.\nAnswer: -1293*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10*m - 2. Let y be u(2). Let g be y\/77 - 590\/28*-4. Let k be (g\/(-9))\/(4\/(-6) + 0). Calculate the highest common factor of 224 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -10. Let k = -9 - f. Let x = -179 + 178. Is k greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5571d (base 14) to base 12.\nAnswer: 9baa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, -16, -22, -30, -40?\n\"Answer: -j**2 - j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0993 - 680.0993. Let l = -680.000001162 - p. Round l to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/15*20\/104?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j. Let s(k) = -352*k + 99. Let b(o) = -14*o + 4. Let a(q) = -99*b(q) + 4*s(q). Calculate w(a(r)).\nAnswer: -44*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + k**2 - k**3 + 4*k + 4*k + 7*k**4 + 2*k**3 - 3*k**3 to the form n*k + z*k**2 + l*k**4 + s*k**3 + i and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-12)*-3*-6. Let a(z) = 7*z**2 + 7. Let k = 37 + -15. Let u(y) = -2*y**2 - 2. What is k*u(l) + q*a(l)?\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178.3792ug to kilograms.\nAnswer: 0.0000001783792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + 108 - (-17 - (-17 - -71))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - t + 3*t = 114, 3*l = 3*t + 153. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/224470 and -121\/1122350.\nAnswer: 1122350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 121201*x - 4484440. Give o(37).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1547 divided by -1\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/20*8\/6. Let k be -5*(-6)\/75 + (-8)\/(-30). Which is the closest to -1? (a) k (b) o (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 656?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 700014314 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 7 - (-78 - -54).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-4 + 4)\/5. Suppose 0*t - 5*t - c = -9091, t - 4*c - 1835 = a. Let f = t - 725. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -616?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 1. Let v(b) = -t - 2*b + b + 4*b. What is the least common multiple of 8 and v(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -450 (b) 0.1 (c) 1\/5 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 12 = -3*l, 8*l - j - 798155 + 798114 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-3 + 2) + 25. Let h be -2 + (-1)\/((-2)\/(-14)). Let d be (-4)\/18 - 47\/h. Solve 6*k + m = 4*k + 4*g, -d*g + 25 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + m**2 - m. Let c(i) = 2*i + i - 2*i + 4*i**2 - 2*i**2. Determine c(l) - 2*g(l).\nAnswer: -2*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 9 = -m, 4*m + m + 3*z - 10 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2 + 41*w**3 + 3 - 42*w**3 - 3*w**2 + 3*w + 1. Let k be (-1)\/3*(-6)\/1. Let c = k - 6. What is n(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 302 and 16?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-43)\/(-2))\/((-2)\/(-4)). Suppose -1228 = 12*k - 700. Let p = i + k. Which is bigger: -1\/13 or p?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8084.54 micrometers?\nAnswer: 0.00000808454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(-4080)\/3456)\/(50\/(-480)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 5. Let y(u) = u**3 + 6*u**2 + 4*u - 4. Let k be y(-5). Suppose n + 2 = -k. Are n and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 979799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100100001011 - 10001?\nAnswer: -100100100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - (-9)\/4. Suppose 8 = -o*k - 2. Let i(j) = j**3 + 4*j**2 - 7*j - 7. What is i(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afx when three letters picked without replacement from haahfakaaxkfafkff?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + sqrt(432)*1 + -2 + sqrt(432))**2 + 2 + (1*sqrt(18))\/sqrt(6) + 5)*2*-1.\nAnswer: -7798 + 286*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -90244 divided by 44?\nAnswer: -2051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-15)\/9 + 2). Suppose z - o*z = -6. Suppose 6*h - 99 = z*h. What is the greatest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + 5*(sqrt(300) - (sqrt(300) + (sqrt(300) - ((sqrt(300) - sqrt(300)*3*4) + sqrt(300)))) - (sqrt(300) + -5 - sqrt(300))*-5))**2.\nAnswer: 138600*sqrt(3) + 923376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*g + 361*g = 336 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 48*d**3 + 20*d + 20. Let g(n) = -7*n**3 - 3*n - 3. Let o = 510 + -516. Give o*c(r) - 40*g(r).\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.966 - -0.034. Let m = 19 - v. Let q = -0.4 + 0.3. Which is the nearest to q? (a) -0.5 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -107*p**3 + 33*p**2 - 19*p + 26. Let q be x(14). What is q rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -71*x**2. Let f(i) = -9*i. Calculate y(f(m)).\nAnswer: -5751*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3597 + 3396. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1964308 divided by -4\nAnswer: -491077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -11. What is the third derivative of -6*z**2 + m*z**2 - 5*z**6 + z**2 wrt z?\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*y + 0*y = 10, -2*b - 5*y + 23 = 0. Solve -3*f = -b*f - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1377*a**2*i**3 - 1629*a**2 + 7811*a*i - 9934*i**4 + 1 wrt i?\nAnswer: 8262*a**2*i - 119208*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -8\/7 (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 45751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 591384 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1099\/462 + -1 + 6\/(-11). What is the closest to -3\/217 in k, -1\/10, -1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26278.\nAnswer: 2, 7, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 = -0*y + 5*d, -4*y + 26 = 2*d. Suppose 2*q + 228 = y*q. What are the prime factors of q?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 5. Let l = x + 4. Let f(i) = i**3 - 22*i**2 - 25*i + 48. Let s be f(23). Sort s, -4, l in decreasing order.\nAnswer: l, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39853 is divided by 4978.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -223, -1015, -2371, -4291?\n\"Answer: -282*a**2 + 54*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6838228889 to the power of 1\/3, to the nearest integer?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*m**2 - 175*m + 175*m + 25*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 0.9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = c + 1 - 5, -16 = -5*v - 4*c. Let x(n) = -11*n**2 + v*n + 1 - 2*n - 5 + 3. Give x(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3789*d + 439834*d + 320543*d.\nAnswer: 764166*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - ((5 - -7) + -1)) + -79 + (-1 - -7)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/58814790 and -83\/58814790?\nAnswer: 58814790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwgg when four letters picked without replacement from {w: 2, q: 4, k: 1, g: 10}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2\/9, 31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -10223*c**2. Let s(k) = 2*k**2. Determine f(s(b)).\nAnswer: -40892*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 116*s + 460. What is c(4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 - -0.02. Let v = u + 3.03. Let b = 41.3 - 41. What is the second biggest value in -2\/5, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + -1 + 1 - -7. Suppose -3*p + 28 = -4*a, -3*p + 5*p - g*a - 24 = 0. Let y(l) = -l - 6*l + p*l + 2*l. Let q(v) = v. Give q(y(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 1, d: 1, c: 1, p: 1}. Give prob of sequence nd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**2 - 1. Let p be v(1). Suppose -3*d - 2479 = -5*u, p*u + 7*d = 3*d + 2493. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4312433 - 1545?\nAnswer: -4314422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8889, -9442, -10003, -10578, -11173?\nAnswer: -11794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78993 is divided by 19668?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 16*a = 20. Suppose a*u + 5*b - 365 = 0, -4*b = -5*u + 67 + 253. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 616*x**3 + 52652*x**2 - 803880*x + 3406050.\nAnswer: 2*(x - 145)**2*(x - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*o + 664 = 14*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363658 is divided by 319?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 3045562263?\nAnswer: -3045562255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:45 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 6*m - 17. Let f be o(-7). Let n(t) = t**3 - 38*t**2 - 41*t + 83. Calculate n(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 - (-127 + (-33453)\/(-162)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 872 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (-2 - -9) + 1 + 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = y - 247 - 428, -q - 156 = 4*y. Let a = q + 156. Calculate the smallest common multiple of a and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2261113951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -72422, -72425, -72436, -72461, -72506?\n\"Answer: -f**3 + 2*f**2 - 2*f - 72421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 0 - 34 - 12*m + m**2 + 0*m**2 + 14. Calculate h(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*h - 2 + 0*h - 16*h + 0*h to the form t*h + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207, -840, -1893, -3360, -5235, -7512, -10185?\nAnswer: -13248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 1. Let u = 1121 - 1124. What is the closest to -2\/13 in g, u, 5\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**4\/8 + w**3\/6 - 3*w**2. What is the first derivative of d(r) wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 65, 194, 447, 866?\nAnswer: 1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61891996?\nAnswer: 2, 31, 499129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - -2)*(-4)\/(-70). Let v = -16193 + 16192.5. What is the third smallest value in -4\/7, -1\/5, v, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mszmzmmmlmsmmss. Give prob of sequence zsl.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7367 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5913 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 9*o**2 + 11*o - 9. Let m be h(7). Let l = m - 168. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -388, -1079, -1852, -2707, -3644, -4663, -5764?\n\"Answer: -41*n**2 - 568*n + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o - 13449. Let n(b) = -b**2. Calculate i(n(t)).\nAnswer: 2*t**2 - 13449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 4*n - 296, 2*v = 5*n + 45 + 124. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 29 + 78 + 29702*d**3 - 29705*d**3.\nAnswer: -3*d**3 + 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 104, 155?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -41?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22029 - -23172.69. Let w = -1145.39006 + t. Let g = -1.7 - w. Round g to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**2 - 64*q**3 + 25*q**3 + 8 + 3*q**2 + 28*q**3 + 6*q. Determine k(-2).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 648.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(30\/9))\/((-7)\/28). Let x(i) = -360*i - 1. Is x(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78010 divided by 137.\nAnswer: 78010\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**5\/20 - k**4\/3 - k**3\/6 - 4*k**2 + 8*k. List the prime factors of m(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 29*q**2 - 28*q. Let t be u(30). Let n(s) = t*s**2 - 1 + 2*s + 52*s**2 - 111*s**2. Calculate n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/6)\/(220\/(-75) + 3). Is (-3 - m\/(-4))*44 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*r = 21, -2*a - 2 - 2 = 5*r. Let b(d) be the second derivative of -d**4\/6 + 3*d**2\/2 - 2021*d - 1. Give b(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -31*k + 2043. What is p(29)?\nAnswer: 1144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -19, -49, -91?\n\"Answer: -6*x**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + x + 1. Let p be j(0). Let z(l) = 2*l**2 - 5*l + 3. Let w(s) = s**2 + s - 1. Let c(k) = p*z(k) - w(k). What is c(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -443 + 448. Solve w*z + 179 = 209 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + (2 + -9 - (-109 + 96))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -12 + 15 - 1 - 2*j + 12*j. What is the remainder when i(2) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.1 (c) -17 (d) 10383\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by 84708.\nAnswer: -1\/1086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2. Let r(f) = -1523*f**2. Calculate c(r(d)).\nAnswer: -6958587*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/85 and -17\/2292967.\nAnswer: 194902195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*s**2 + 3552 with respect to s.\nAnswer: 70*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - u + 10, -5*u + 0 = q - 2. Suppose 27 = q*c - 25. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-39)\/26*(-24)\/9 - 25?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 38 = 391*f - 385*f - 6*y, -3*f - 2*y - 9 = -9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -1. Let r(f) = 4*f**2 + 4*f + 4. Let k = -70 - -80. What is the remainder when r(h) is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 2:57 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 6*k + 44. Let y(j) = 2*j - 16. Let s be y(k). What is the highest common divisor of 42 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9273949l in millilitres?\nAnswer: 927.3949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 108913, 108930, 108947?\n\"Answer: 17*u + 108896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-350)*-10)\/(-5 + 80\/14).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.35 + -0.65. Is z less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdyv when four letters picked without replacement from {k: 1, y: 1, b: 1, p: 1, d: 1, v: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 11*l**2 + 2*l - 15. Give q(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 104*h - 99*h - 875. Suppose 36 = 5*y - 24. Suppose 17*x - y*x - h = 0. Calculate the greatest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*q = 375, 0*a - 4*a + 2*q + 500 = 0. Suppose 0 = -8*t + 123 + a. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 392652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*sqrt(5))**2 - (1*(sqrt(5) + sqrt(405)))**2.\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1462544 to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-28)\/8 + 2 - 135\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (332\/(-6) - (-660)\/495)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/22, -3, 3, 2\/13 in decreasing order.\nAnswer: 3, 2\/13, 3\/22, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.933117751 to 4 decimal places.\nAnswer: -1.9331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 12*a - 22*a + 58 + 0*a + 6*a. Give h(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**5\/60 - 6*m**2. Let o(v) = 11*v. Calculate s(o(p)).\nAnswer: -121*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 19*q**4\/12 - 6*q**2 + 2*q - 10. Differentiate b(j) with respect to j.\nAnswer: 38*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(1\/28)*s**(-7)*(s\/(((s*s**8)\/s)\/s))\/s*s*s\/s**(-4)*s*s)**19)**(-40) assuming s is positive.\nAnswer: s**(21090\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {e: 3, g: 5, h: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.66 and -239.\nAnswer: 1830.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -2. Let v = -1 - 0. Let o = v - i. Solve 0 = -o*w + w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -29388, -17, 7 in descending order.\nAnswer: 7, 4, -1, -17, -29388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 13*a**2 + 17*a + 20. Is l(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -19. Suppose -3 - b = 4*v. Let r be ((-3)\/(-2))\/((-1)\/v). Solve s = r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -8. Is 3\/(-2)*40\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14 - 3*s - 13*s**4 - 23 + 3*s wrt s?\nAnswer: -52*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91\/3 + -30. Let f = -0.85 + 0.15. Let g = 0.7 + f. Which is the second biggest value? (a) v (b) 3\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1285 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -2 - sqrt(11))**2 + -4 + -1*sqrt(11)*3.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, o: 1, p: 4, y: 4, l: 1}. What is prob of sequence lpyp?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -6. Suppose -4*s + 14 = -2*p, -6*p + 4*p + 6 = 0. Solve 2*b = a - 11, -2*b - q*a - 2 = s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/9, -5, 0, 0.04794?\nAnswer: 0.04794","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-four ninths of a week?\nAnswer: 38080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1001000100100000110?\nAnswer: -1001000100100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -327888 divided by -594\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/((-5546)\/(-474183))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -2*o - 129. Suppose o*w + 3*b - 3251 = 3538, -5*w + 3*b = -11347. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-15))**(17\/6)\/(m**22)**(-49) assuming m is positive.\nAnswer: m**(2071\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*x = -2*d - 186*x - 28, 5*d + 30 = -2*x. Sort d, -3, 4, -109 in increasing order.\nAnswer: -109, d, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + v**3 - 5)*(5 + 7 - 5)*(0*v**2 + v**2 - 3*v**2).\nAnswer: -14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 16*x - 48. Let n be 55\/3 - (2 + (-8)\/3). Let w be m(n). Solve w*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r - 5. Let w be z(-3). Let a = w - 54. Find the common denominator of -13\/20 and (a\/44)\/(2\/4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154649 + -27836669\/180. Let f = 278699\/6 - 1300639\/28. Find the common denominator of f and g.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -419, -752, -997, -1154, -1223?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a year in months?\nAnswer: 201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3 and -7\/985?\nAnswer: 2955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 15 = -m. Suppose f + 4*n = -20, f + 19 = -m*n - 6. Let t be 0 - f - 12\/(-6). Solve -2*l + 6 = 0, 3*l - t = -3*k + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-55) - (-23478)\/95095?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5881260 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53353242 (base 6) to base 12.\nAnswer: -638822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**6 + 184033834*s**4 - 195792616*s**2 wrt s?\nAnswer: 120*s**3 + 4416812016*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 357, 796, 1317, 1920, 2605, 3372, 4221?\n\"Answer: 41*a**2 + 316*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35904332 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 31273053.\nAnswer: -4\/31273053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 307, 609, 901, 1177, 1431, 1657?\nAnswer: 1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 5}. Give prob of sequence jl.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/2945970 and -161\/6480.\nAnswer: 23567760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 71.556mm?\nAnswer: 71556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 617 + -542. What is the highest common divisor of 30 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-141)\/188)\/(((-9)\/(-6))\/(-1)))\/(3\/126).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-16))\/((-2)\/(-32)). Let q(s) = -2*s**3 - 7*s**2 - 12*s - 12. Let o be q(r). Suppose o = p - 14. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11002 - 4665. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-15)*j**(-1\/16) assuming j is positive.\nAnswer: j**(-241\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9*y - 19. What is the remainder when w(6) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 146 - -13. Let l = -129 + c. What is the smallest common multiple of l and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 47881146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50.79 + -55.9. Let o = 4.91 + a. Let m = 2 + -1. Sort 6, o, m.\nAnswer: o, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/35)*d*d**(1\/3)*d**10\/d*d*d*(d\/d**(2\/11)*d)\/d assuming d is positive.\nAnswer: d**(15124\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 317 or 326?\nAnswer: 317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, 1, -5\/3, -13\/53, -0.4?\nAnswer: -13\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90a4 (base 12) to base 3.\nAnswer: 210111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + -7. Let l = 21 + 53. Let p = l + f. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16b043 (base 14) to base 5\nAnswer: 201023223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide (-1978)\/(-9) - 2\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-7 - (2 - 3). What are the prime factors of (39\/m)\/(1\/(-2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 2:37 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -811, -1632, -2451, -3268, -4083, -4896, -5707?\n\"Answer: p**2 - 824*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1522*l + 25. Let f(i) = -762*i + 13. Let m(n) = 11*f(n) - 6*t(n). Let j(s) = s**2 - 2*s + 1. Let r be j(2). Is m(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 times 259?\nAnswer: -802.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 67162683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -1.1212042.\nAnswer: 0.67272252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-27))\/(-5))\/(14\/12).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 0*c + 14\/3*c**3 - 2 + 0*c**2. Is 9 a factor of g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(60)\/sqrt(2))\/(sqrt(54)\/sqrt(36)))**2 - (sqrt(140)\/sqrt(4)*-4)\/(sqrt(567)*2).\nAnswer: 2*sqrt(5)\/9 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28447674 divided by -6?\nAnswer: 4741279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - p = -4024, -2*s - 6*p + 1588 = -11*p. Calculate the remainder when s is divided by 794.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16476 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 99 = z. Calculate the remainder when z is divided by -445 - -434 - (-62)\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -319, -309, -293, -271, -243, -209, -169?\n\"Answer: 3*f**2 + f - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -466.\nAnswer: 3\/466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138903375 and 9750?\nAnswer: 277806750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197708850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -7. Suppose -18 = 6*r - 12*r. Let x be r*(-5 - (-2 - 2)). Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 8*d - 4. Let u be z(3). Let s = 15 + u. Suppose -n - 6*n = -s. Solve -5*a + 5*w - 20 = 0, -3*w - n = 4*a - 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-19)*w**8\/w*w)\/((w**(-5)*w)\/w**(-1\/8)) assuming w is positive.\nAnswer: w**(-49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 491170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) + 112\/21. Suppose o*z + 1274 = 94. Let p be z\/13 + (-16)\/(-104). Are p and -18 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 2*f**2 + 15*f - 5. Let x be s(-4). Is 349\/11 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113925.1458 rounded to the nearest integer?\nAnswer: -113925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262*l = -175*l - 174. Let q(b) be the third derivative of -1\/10*b**6 - l*b**3 - b**2 - 5\/6*b**5 - 23\/12*b**4 + 0 + 0*b. Factor q(d).\nAnswer: -2*(d + 3)*(2*d + 1)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 494 and 57.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0 - 3 = 0, -2*o - a + 7 = 0. Let y be 0*3\/(-12)*o. Solve -5 = -p - y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 5. Let k(x) = -x**3 - 17*x**2 - 13*x + 45. Let o be k(-16). Which is bigger: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5854*g + 5858*g + 645 - 650.\nAnswer: 4*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 4*i + 5. Let r = 11 + -16. Let q be p(r). Factor 58*z**3 + q + 40*z**3 - 48*z + 8 + 42*z**2.\nAnswer: 2*(z + 1)*(7*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}